control of curing light of dental system microcontroller ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 87 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.2, no.1,pp 78-84, (2006) design and implementation of microcontroller based curing light control of dental system. ali hussein hamed information eng. dept. al-khawarizmi college of engineering university of baghdad (received 14 august 2005; accepted 4 april 2006) abstract: in this paper, a microcontroller-based electronic circuit have been designed and implemented for dental curing system using 8-bit mcs-51 microcontroller. also a new control card is designed while considering advantages of microcontroller systems the time of curing was controlled automatically by preset values which were input from a push-button switch. an ignition based on pwm technique was used to reduce the high starting current needed for the halogen lamp. this paper and through the test result will show a good performance of the proposed system. keywords: microcontroller, dental curing system, electronic circuit. 1.introduction the curing process in dental system is cured depending on the material used between 10 and 60 second in step of 10 second using blue beam light from a light source. the existing types of cards utilize analogue-controlled time features like time control and light intensity control. some disadvantages of these systems can be stated as complexity, low reliability, high cost and big size. this control cards consist of several circuit components, thus can be fairly complex and clumsy. these control cards are mounted on two or more separate boards because they just do not fit in a single board. the new design is compared with other existing system; the major advantages of the new designed system are the following the small size of the system, programmable, simple, reliable, and low cost. the 12v, 75 watt halogen lamp, the source of the light is controlled by a power transistor with a pwm mode provided by the microcontroller. by using this technique, the starting current needed for the lamp is reducing. consequently, the desired curing process for the dental system is obtained. the new control card can be also fit in a single board because there are a few circuits used by the design, which reduce the cost and the noise level during its operation. 2.the system characteristics the designed system is a light curing unit for interiorly polymerization of dental materials that can be shown in fig(1). the system is a hand-held, corded. the visible light polymerization system consist of a pistol-style hand piece attached via a 1-m cord to the power unit and the power unit contains a ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 87 built-in digital controller and d.c power supply. the activation on/off control exposure time selection switches and sevensegment display are conveniently located on the power unit. the hand piece comes with quartz-halogen lamp and a 10-mm curved curing wand. a thermister was used near the halogen lamp which will interrupt the microcontroller when the temperature of the lamp goes to a high value, then the microcontroller will turn the fan on to minimize unnecessary fan operation and noise. 3.the system implementation among curing light control system, one of the most reliable ones is the microcontroller type. the microcontroller and halogen lamp power supply designed for positive voltage of 5v and 12v using lm7805s and the power lm317 voltage regulators respectively, as shown in fig.(2). selection of resistors r1 and r2 allow the setting of the output to any desired voltage over the adjustment range ( 1.2 to 37 v). the output voltage desired can be calculated using : 2 1 2 )1( ri r r vv adjrefo  with typical values of vref=1.25 v and iadj= 100 µa. for a 12 v, the values of the resistors r1 ( which act as a current sensor) and r2 are 220ω and 2kω respectively. the control card circuit diagram is shown in fig (3). microcontrollers require one or more power supply voltages, these voltage values should be kept in the 5% margin of operation limits. in order to display a 2-digit decimal number indicate the time of curing in seconds, a seven-segment display units is used. also we used the 7447 driver/converter to prevent the vibration of the leds. each display has a common cathode and controlled by a single transistor driven from the microcontroller. a heat sensor, the thermister, have been putted near the halogen lamp which runs as a switch, when the lamp temperature rise above 75 ْ c the thermister will contact enabling the interrupt of the microcontroller, the microcontroller will stop its convent work, turning off the lamp and turn on the fan is in order to cool the system. this is an important feature provided by the new design using microcontroller, which will protect the system from damage and make the work safely. three push button switches are provided with the system located in the front panel two of them are used to select the required time for curing. by pressing the increment switch the seven segments will display the time in seconds, each press will increase the time 10second. the decrement switch is opposite to the increment one. the start switch is press when the required time is selected, this switch shall run the halogen lamp. 4.the software solution in this work a problem has been occur during the test of the system, when the power is turn on the system work normally, once the halogen lamp is turn on, the microcontroller is reset. the reason for this case is that the lamp when work in its rating consuming a current of 6 ampere, when it is worm, but the starting current is much more than this by two or three times, thus the d.c. voltage of the power supply will drop very fast causing restart of the microcontroller. many solutions to this problem was introduce, one of these solutions is to use a power supply dedicated for the halogen lamp, but this will lead to make the system size bigger with high cost. a pulse width modulation pwm technique is used to solve this problem by using the benefit of microcontroller. a worm software subroutine was built; by this a frequency of 4.9 mhz (2040 μ sec.) was produced. for the first period a pulse of on about 8 μ sec. width is given to the halogen lamp then the lamp is turn off for a period of 2032 μ sec, as shown in fig (4-a-), for this pulse the d.c. supply voltage will not drop. in the next period a pulse of 16 μ sec. is on and 2024 μ sec off and so on. this technique would continue for 0.5 sec, after this time the voltage input to the transistor of the lamp is ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 78 stay on for the required time of curing 10, 20, 30,.. sec. as shown in fig.( 4-a-). 5.the test result by using this technique the duty cycle is changing linearly by a figure of 0.4 % .where the duty cycle is offon on tt t dutycycle   in the first period the duty cycle is 0.4% and increasing each cycle by this value. by this the lamp will worm in about 0.5 sec. fig (4-b) shows the current rising through the worm time and then stay at steady state for the rest time. fig.(4) explain the starting current without using the pwm technique, these result was obtained practically using digital storage oscilloscope. 6.the conclusions the four most important results of this study for the purpose of controlling of light curing in dental system are usage of microcontroller in the control card, the small size of the system, the full reliability of the control card comparing to its relatives, using the new software solution for the hardware problem. the control card of the early equipment is semi-mechanical. timing values are input from potentiometer. the most sophisticated control card that is in use is designed with the digital design techniques. in this designed system a smaller amount of the circuit component is used and all of them are placed on one card. 7.references 1) metin kapidere, serdar muldur, and inan guler, control of dental prosthesis system with microcontroller, jornal of medical system, vol. 24, no 2, 2000. 2) cyril w. lander, power electronic, second edition, mcgraw-hill, 1987. 3) mike james, microcontroller cookbook, prentice hall, 1997. 4) gene f. franklin, david powell and michael workman, digital control of dynamic system, third edition , prentice hall, 1998. 5) pei an, pc interfacing using centronic, rs232 and game ports,newnes, 1998 ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 78 fig(2) schematic digram of the designed power supply 1 2 3 4 5 6 a b c d 654321 d c b a title n u mber r ev is io nsize b d ate: 21 -jan -20 06 sh eet o f fi le: c : \my d o cu ~1 \a li .s ch d raw n b y : b r id g e1 b r id g e2 47 0 uf c 25 0 uf c 2 2 0 v transfo rmer v in 1 a d j 2 +v ou t 3 lm31 7h v in 1 g n d 3 +5v 2 lm78 05s 0 .01 uf c + 5 vo lt 15 vo lt 15 vo lt r 1 22 0 r 2 2 k 0 .01 uf c + 12 vo lt ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 78 1 2 3 4 5 6 a b c d 654321 d c b a title n u mb er r ev is io nsize b d ate: 7 -a ug -2 0 05 sh eet o f fi le: c :\a li\s ch ema ti.sc h d raw n b y : 1 2 3 4 5 1 0 9 8 6 7 1 1 1 2 1 3 1 4 1 5 1 9 1 8 1 7 1 6 2 0 1 2 m h z u1 10 uf 8 .2k v cc 1 k v cc b d 91 11 k 25 612 v v cc v cc r st p3 .0 p3 .1 x 1 x 2 p3 .2 p3 .3 p3 .4 g nd p3 .5 p3 .7 p1 .0 p1 .1 p1 .2 p1 .3 p1 .4 p1 .5 v cc p1 .7 p1 .6 v cc 1 k 1 k v cc 1 k v cc th er miste r b uz zer 30 pf 30 pf 12 v light cure controller/controller mps a92 b c 6 3 6 b c 63 6 h al lo gi n ligh t(1 2 v,50 w ) b c 63 9 + mps a9 2 \i nt 0 b c 63 9 f an a b c d d 1 d 2 w ith heat s in k 89 c 20 51 u 1 q 4 q 3 q 1 q 2 q 5 q 6 q 7 r 1 r 2 r 3 r 4 r 5 r 12 c 2 c 3 c 1 r 11 b u z1 1k v cc st ar t sw 3 r 8 a 7 b 1 c 2 d 6 b 1 4 lt 3 r b 1 5 a 1 3 b 1 2 c 1 1 d 1 0 e 9 f 1 5 g 1 4 74 47 v cc bafg d pcde d i s2 bafg d pcde d i s1u 2 1 k1 k v cc st an d by led 1 k + _ v cc f la sh l ed 1 k v cc r 6 r 7 le d1le d2 sw 2 sw 1 r10 r9 fig (3) circuit diagram of the control card. ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 78 time sec. 2000μ sec 1992μ sec 48 μ sec 56 μ sec 64 μ sec time sec. 2032μ sec 2024μ sec 8 μ sec 2032μ sec 16 μ sec 24 μ sec 32 μ sec 2024μ sec 2016μ sec 2008μ sec 40 μ sec vin(t) 2016μ sec time sec. ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 74 current of the lamp i(t) fig (4) schematic diagram of the pwm technique. a) the voltage input to the base of the power transistor driving the lamp. b) the current of the lamp during the warm and steady state. 0.5 sec. 10, 20,.. sec 10, 20,.. sec current of the lamp i(t) -b -a 6a fig (5) the starting current of the lamp without pwm technique. 6 a time sec. time sec. ali hussein hamed/al-khwarizmi engineering journal, vol.2, no. 1,pp 78-84 (2006) 78 تصميم و بناء دائرة معالج دقيق للسيطرة على منظومة التجفيف الضؤي لألسنان علي حسين حمد قسم هندسة المعلومات كلية هندسة الخوارزمي جامعة بغداد :خالصةال في هذا البحث تم تصميم و بناء دائرة الكترونية باستمال المسيطر الدديي تسدتخدم لنمدام تف يدو حادوة ا.سدنااس تدم اسدتحداث دائرة فديدة ما خالل ا.ست ادة ما فوائد المسيطر الديي س تمت السيطرة على الويت المطلوب للتف يو ما خالل ييم تعطى الى الضغطةس تم ايقداد مصدباا الولدوفيا المسدتعمل فدي التف يدو بطريقدة تضدميا عدر النبضدة المسيطر مسبقا باستعمال م اتيح وذلددل للتقليددل مددا تيددار البدددء العددالي الددذا يحتافددم المصددباا لكددي يعمددلس هددذا البحددث و مددا خددالل نتددائ ال حدد بدديا داء فيدددا للمنمومة المقترحةس final suha mohammed hadi /al-khwarizmi engineering journal ,vol.1, no. 1,pp 46-51 (2005) ٤٦ al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.1, no.1,pp 46-51, (2005) a new approach for designing multi information management system using xml technology dr. suha mohammed hadi information engineering dept./al-khwarizmi engineering college/universityof baghdad abstract xml is being incorporated into the foundation of e-business data applications. this paper addresses the problem of the freeform information that stored in any organization and how xml with using this new approach will make the operation of the search very efficient and time consuming. this paper introduces new solution and methodology that has been developed to capture and manage such unstructured freeform information (multi information) depending on the use of xml schema technologies, neural network idea and object oriented relational database, in order to provide a practical solution for efficiently management multi freeform information system. keyword: free form information, xml technology, data modeling, relational data base. introduction: it is estimated that in most businesses over 80% of all information is in unstructured or freeform format. a huge proportion of corporate memory is therefore captured in freeform format. capturing and managing this information in a computer system offers great potential for improving efficiency and resource utilization increasing innovation and competitiveness by retaining the corporate know-how and memory, helping gain deep insights and understanding into the business environment. this is a key component of the knowledge management discipline and the digital or knowledge economy [1]. the advent of the world wide web in the 1990s has resulted the publication of millions freeform documents in digital form. such free-form information is difficult to manage [2]. the information is diverse in nature, complex, and subject to frequent changes. traditionally, forms are used to ensure that relevant information is captured by providing structures and checklists. forms are especially important when the same type of information is captured repeatedly [3]. in the paper world, we often make copies of the documents so that we can put them in the folders required. this creates its own problems, as comments made on one copy will not be visible in the other copies. follow-up documents also may not be filed in all the folders. unfortunately such storage systems do suha mohammed hadi /al-khwarizmi engineering journal ,vol.1, no. 1,pp 46-51 (2005) ٤٧ not support the information usage model. documents may be classified into many categories and related to each other. in the computer world, the filing system should be virtualized where we have only one copy of the document but visible in as many categories as required. freeform information without structure is difficult to manage. and lack of structure dramatically reduces an organization’s ability to leverage the value of such content. the simplest and most common form of information storage and management is to store documents as files in folders and use the directory structure as the means of navigation. with more advanced systems, the documents are stored in databases where they may be indexed to provide full-text search facilities [4]. the purpose of our proposed information management system is that to be useful for any organization in various purposes including training and reference, planning, design, innovation and decision-making processes. to meet these requirements we have to look beyond information access and full-text search facilities. users of the information must also be able to gain insights and deep understanding on the subjects of interest. the facilities provided by this model must assist the users in discovering new information from the unified view of the information available. 1. xml technology the extendable markup language (xml) is an open standard for defining data elements on business documents. it defines the structured information those elements contain. xml was originally developed as an application profile of standard general markup language (sgml) to use over the internet. but the ease of both writing applications that process xml document and creating xml documents has made xml an instant success for a variety of other application domains, too. in fact, one area where the benefits of xml have become immediately apparent is data exchange and data modeling. there are clear benefits from using xml in these areas. • first, the design of xml is formal and concise, so it's relatively easy to write structured data. • second, since xml documents are human-readable, a developer can figure out what the content means by simply inspecting the xml document. • third, momentum is building to create standardized xml protocols (also referred to as xml schemas) for almost any type of business. so there's an excellent chance that in the near future a majority of transactions will be carried out using xml as the underlying infrastructure protocol. this shift from binary protocols to xml-based protocols resembles the computing industry's move from mainframe-centric terminals and central processing units to the client/server paradigm of distributed computing. like client/server before it, xml requires new ways of storing data. in the shift from mainframe-centric to client/server computing, a major side effect was the development of relational database servers. similarly, in the case of the move to xml protocols, there is a noticeable trend toward not only exchanging xml data, but also storing it directly as xml data [5]. 2. designing the new approach before the information can be managed it must be captured first. the bulk of freeform information available suha mohammed hadi /al-khwarizmi engineering journal ,vol.1, no. 1,pp 46-51 (2005) ٤٨ today is unstructured. with xml technology, the structure form can be imposed on most kinds of information. this technology trend is to capture as much of such information as possible. in order to use conventional technology, for each form, we require a software program or a program unit to create the user interface, define the data types, validation rules and posting processes. often, enumerated lists and lookup tables are also required to provide codified information for some fields. by using this technology, the information has to be stored in relational database tables, which will run into thousands as the information in each complex form will have to be posted into several normalized relational tables. all this must be designed with some considerations that may influence the development of such data capture systems. our new approach schema forms is designed to address the issues mentioned above. it is xml driven and based on xml schema, with these schema forms, the data entry forms are generated from xml schema documents that define the data types, limits, enumerated lists and other constraints. effectively, schemaforms can handle an unlimited number of forms based on the user-defined xml schema. a diagrammatic representation of the new approach design process can be shown in fig. 1. . fig. (1): the basic function design for the schema form the output from the data entry starts as an xml document that can be distributed to a distribution list, stored in a local database, posted to an open database connectivity (odbc) compliant relational database. the distribution and posting can be conditional based on the contents of the document, this is a facility made possible by xml technology. the xml schema documents are userdefined; they can be defined with any other xml schema tools. the process in our design is a user-driven, because we can define the schema and the distribution and posting instructions, which make the process fast, efficient and cost effective. as the xml schema is in pure ascii, they can also be easily distributed. the whole process can be done offline and together with the local database storage, supports the long transaction requirements described above. 3. the new information model architecture in order to perform the new proposed information management system we recognize that these documents should be stored as an information network where any document can be connected to other documents. instead of trying to handle the network conventionally, this new information model has been designed as an inverse of the network whereby any node (knowledge object) can be selected as the centre of focus, and lists represent related objects based on relationships. the tenets and the architecture of this multi information model are as the following: schema me user interf pro ma nua xml doc distr ibuti od bc loc al suha mohammed hadi /al-khwarizmi engineering journal ,vol.1, no. 1,pp 46-51 (2005) ٤٩ 1. information is represented as objects. an object represent anything that can be given a name, e.g., a concept, a person, an organization; 2. every object can be the centre of focus with all related objects made visible i.e., there can be as many perspectives as there are objects. this object can also be viewed as a tree with the branches expanded to any level (subject to system resources) as explained in fig. 2. 3. all objects are equal. an object can have more than one name and more than one description. any list of objects can be filtered, clustered or expanded based on the relationships defined in the network. the lists also represent additional perspectives. so that they can be dynamically rearranged without losing context. 4. the common set search feature allows users to find common sets from a list of objects based on the set theory. objects can be related to each other as groups and members (i.e. related in hierarchical structures or generic relationship). 5. objects can be associated with each other, the connectivity search feature allows user to find the connections between any two objects through multiple levels. to make this search more meaningful, selected relationships and objects can be excluded from the search. xml-based document search allows users to find text within specific nodes of documents. 6. objects can also be classified into themes; the data query allows selected information to be extracted for display purposes or to other formats for processing which can be also referred as layers that can be shown in fig (3). fig. (2): the maine interfaces between objects fig. (3): the thematic map concepts the concept or the knowledge of the new proposed model represented as a network of information object that is defined in xml and based on relational database technology. a schema document (say b) can reference another schema (say a). in this model, the system will allow the obje ct obje ct obje ct obje ct obje ct lower base count peop produ organizati on base suha mohammed hadi /al-khwarizmi engineering journal ,vol.1, no. 1,pp 46-51 (2005) ٥٠ definition of document mapping i.e. retrieval of specific nodes from schema “a” documents to schema “b” documents. in our model while viewing a document of schema “a”, there will be an option for the user to launch schema-forms with a new entry form based on schema “b”. the information from the viewed document will be transferred to the entry form based on the nodes mapping defined. since the posting of documents in schema-forms can be conditionally defined, the schema “b” document can be added as another document to the schema “a” document and update the relationships of the object containing the schema “a” document. alternatively, the schema “b” document can be posted as a new object related to the schema “a” document. these powerful userdefinable model features allow the development of generic document workflow applications rapidly using xml schema-forms for a variety of purposes. 4.conclusions developers today are challenged to integrate their applications with other systems over a network. oftentimes these other systems are deployed on disparate platforms and are written using disparate programming languages. xml has quickly become the defacto standard for exchanging data between systems; possible solutions for consuming xml documents including using low-level generic parsing applications have been developed. using xml object link offers the ability to easily handle xml documents that can readily be exchanged with other systems, including those based on different languages. information technology is the key to the knowledge management and the knowledge management has the potential to help the organizations innovate, make better decisions and improve their competitiveness. a unified approach in managing information has been designed which capture divers information in a single database that the user can navigate, explore, expand, filter and analyze. making every thing visible because information is only useful if we can see what is really there. the xml-driven solution model that we proposed provides a viable platform for the capture, management, distribution and publishing of enterprise information. xml is an emerging technology that committed for enterprise information management as they become available. this approach has stood the test of time. the new multi information management solutions can be used on desktops and within local area networks. references 1. xml style sheet language transformation (http://www.w3.org/tr/xslt), 12-3-2004. 2. extensible markup language (http://www.w3.org/tr/recxml), 05-12-2001. 3. human computer factors (users and information systems), andy smith, (1997), washington dc, usa, pp 14, 87, 117. 4. model driven architecture, joaquin miller and jishnu mukerji, modeling design journal, architecture board ormsci, 9-july2001, uk. 5. oracle/ xml sql utility, http://www.oracle.com/techn ology/tech/xml, 22-01-2003. http://www.w3.org/tr/xslt) http://www.w3.org/tr/rec http://www.oracle.com/techn suha mohammed hadi /al-khwarizmi engineering journal ,vol.1, no. 1,pp 46-51 (2005) ٥١ xml طريقة جديدة لتصميم نظام الدارة المعلومات المتعددة باستخدام تكنلوجيا ال سها محمد هادي.د جامعة بغداد/كلية هندسة الخوارزمي/قسم هندسة المعلومات :الخالصة لكثير من تطبيقات قواعد البيانات الخاصة باالعمال تم اشراكها في البناء االساسي xmlان تكنلوجيا ال االلكترونية حيث يتناول هذا البحث مشكلة المعلومات ذات التكوين الحر التي تخزن في اي منظمة او مؤسسة وكيفية مع هذه الطريقة المقترحة والتي سوف تجعل عملية البحث عن المعلومات ذات كفاءة اكثر وبأقل xmlاستخدام ال .وقت ممكن اي ( ان هذا البحث يعرض طريقة حل جديدة مطورة المساك والدارة مثل هذه المعلومات الغير مهيكلة والحرة لشبكات العصبية وقواعد البيانات الشيئية ومبدأ ا xmlوالمعتمدة على استخدام تكنلوجيا سكيما ال ) المتعددة . لغرض توفير حل عملي الدارة كفوءة النظمة المعلومات المتعددة الحرة د.نبيل وعامر al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 1-8 (2013) enhancing stud arc welding technique vai utilizing fuzzylogic approach (fla) nabeel k. abid al-sahib* amer a. moosa** * university of thi-qar **department of manufacturing engineering/ alkhwarzmi college of engineering/ university of baghdad *email:n_k_alsahib@yahoo.com **email:amermoosa@yahoo.com (received 6 june 2011; accepted 20 december 2012) abstract a fuzzy logic approach (fla) application in the process of stud arc welding environment was implemented under the condition of fuzziness input data. this paper is composed of the background of fla, related research work review and points for developing in stud welding manufacturing. then, it investigates thecase of developingstud arc welding process on the controversial certaintyof available equipment and human skills.five parameters (welding time, sheet thickness, type of coating, welding current and stud shape) were studied.a pair of parameter was selected asiteration whichis welding current and welding time and used for verification corresponding with tensile strength as output results and this willconsider it as schema for other cases.the testing result in the case of crisp (exact) value verifyingied the uncertainty value of some criteria selected which open the concept to make the decision making process for some advance cases without implementation. this paper applied the proposed methodology using matlab program, the graphic user interface (gui) fuzzy tool box for the case study of screw dabotekstud welding machine, for 6 mm diameter stud. the sheet materials are (k14358 and k52355) according to (usn standards, and the stud materials are (54nicrmos6 and 4ocrmnmos8-6) according to (din standards).this given information is very inevitable for the conventional crisp determination of the tensile stress for the particular specimens experimented and also for verifying the tensile test value estimate in the case of changing to a fuzzy value for two of the input variables. keywords: stud arc welding,fuzzy logic approach, fuzziness, crisp,gui. 1. introduction stud arc welding is a widely used operation in mechanical structure, where high tensile strength with minimum variation is required. the variation of tensile strength affects the cost of stud welding unit operations such as rework and time consume. these are often limiting steps in mechanical manufacturing processes; therefore, significant cost reduction can be realized by producing the stud welding joint having reliable tensile strength ( jibsonj 1997)[1]. usually, to find the influence of controlling parameters on welding process a large number of experiments needed. in order to avoid this, fuzzy logic approach fla methods can be used as a decision making process for the adequate solution of experiments. the classical method of experiments emphasizes prediction of future behavior of experiments from empirical model while running a fraction of full factorial of the combination parameters which are very sophisticated. the variation in the stud arc process, may be due to any or a combination of a selective five sources. so some of these source are srelated to machine, measurement, method, material, manpower, stud, sheet, power supply, and environment, etc. for this study of stud arc welding the effect of manpower on variation is limited because the machine is operating in a semiautomatic process, also the experiments wear mailto:email:n_k_alsahib@yahoo.com mailto:amermoosa@yahoo.com nabeel k. abid al-sahib al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 1-8 (2013) 2 executed onsort of or semi laboratory environment. problem identification is very important for any industrial experiment. one of the most used methods for identifying the problem is brainstorming. brainstorming is an activity that promotes team participation, encourages creative thinking and generates many ideas in a short period of time. for an investigation into the possible causes of the undesirable variability in the stud welding process, a cause-and-effect diagram that lists several suspected causes of this variability is shown in figure (1)[7]. fig. 1. control factors of stud welding cause-and-effect diagram. 2. crisp factor levels and fuzziness range of factor setting determining the membership function of selected factors from brainstorming is a major concern to many researchers in industries. abrainstorming session suggested using five factors with particular two pairs of them in the fuzziness / defuzziness method. after determining the number required for each factor, it is needed to specify the fuzziness range of operation for each control factor. it is usually best to experiment the largest range feasible, so that the variation inherent in the process does not mask the factor effects on the response. the crisp membership function for welding time and welding current are shown in table (1), and the list of the rest three factors taken into consideration on the traditional crisp method experimental were changed in the conventional test to obtain the tensile stress values, see table(2). this action was taken to get more measurement of tensile test which was already verified as exact. the same concept was established with two of the inputs to verify the result as in the crisp case when taken the range for these particular two variables, so that for the fuzzy approach the selected factor table (1) was chosen as a keystone for the huge amount of constrain like those in cause and effect diagram control factors which are shown in figure (1). table 1, welding time/current membership function range time: 0.15 0.2 – 0.25 – 0.3 – 0.35 unit in second welding current: 350 – 450 unit in amp table 2, other factors factors unit range sheet thickness mm 1.6 – 3.175 type of coating k52355 k14358 mm 0.3 0.75 stud shape none small stud flange stud nabeel k. abid al-sahib al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 1-8 (2013) 3 once the factors were decided, the membership function for each factor was selected. selection of membership function depends on how the outcome (tensile strength) is affected and verification the different member and that was achieved by taking six values within the factors shown in table (3) and acquiring the tensile test result in the crisp case, for example the set of (0.15s time, 1.6 mm sheet thickness, 350 amp welding current, 0.3 mm coating type, small stud shape) will generate (175.73, 288.70, 284.39, 359.99, 190.70) n/mm² respectively. table 3, stud arc welding tensile strength. 3. fuzzy logic programming methodology fuzzy logic is a logical system, which is an extension of multivalued logic. however, in a wider sense fuzzy logic (fl) is almost synonymous with the theory of fuzzy sets, a theory which relates to classes of objects with non-sharp boundaries in which membership is a matter of degree. (mathwork2010)[6]. however, using the gui guide user interface to obtain the number of input and output and inference engine domain containing the membership function curve that concurrently describe the behavior of each variable corresponding with rule that reflect stud welding machining demand for this case study, the carrying out of the following steps are inevitable figure (2). step 1 (input): for the welding current thegaussian function (gaussmf) [5] was used, two of them representa single value as shown in figure (3). step2 (input): for the welding time the trapezoidal function (trapzmf) [5] was used, three of them represent a single value see figure (4). step3 (output): for tensile strength the triangular function (trimf) [5] was used, three of them on representsa single value see figure (5). (for coated type in fuzzy range the value of its tensile stress was ignored to get more accuracy and it did not affect the manipulation as checked on its availability in crisp case). step 4: the data could be entered in term of numerical symbols or simply adjust the line (move by using computer mouse) from the guide user interface screen see figure (6). step 5: the case of defuzziness output could be numerically recognized or from the surface of 3d dimension see in figure (7). factors tensile strength n/mm² mean n/mm² time 175.73 213.23 143.66 195.09 210.50 155.60 182.302 sheet thickness 288.70 251.20 330.40 284.99 225.90 300.70 280.315 welding current 284.39 198.56 225.89 245.87 276.24 263.54 249.082 type of coating 359.99 420.50 428.42 300.03 387.38 367.54 377.310 stud shape 190.70 245.87 235.90 298.46 164.33 289.46 237.453 nabeel k. abid al-sahib al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 1-8 (2013) 4 fig. 2. fuzzy reasoning methodology steps. fig. 3. welding current membership. output tensile test crisp output tensile test in fuzzy range two membership function (gaussmf) two trapezoidal function (trapzmf) input welding time range and welding current specify the range of data for both inputs (fuzzy) entering num. or by mouse ant data with the range of input nabeel k. abid al-sahib al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 1-8 (2013) 5 fig. 4. welding time membership. fig. 5. tensile strength membership. nabeel k. abid al-sahib al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 1-8 (2013) 6 fig. 6. defuzziness input/output interface. fig. 7. three dimension surface viewing. nabeel k. abid al-sahib al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 1-8 (2013) 7 4. discussion and conclusion after interpreting the results of the analysis, it is advisable to ensure that the experimental conclusions are supported by the data in both the crispness and the fuzzy cases. the confidence interval of each set of variables range is the varianceof the estimated result inthe in between value or simply in the fuzzy condition. so that the result inthe tensile stress to be reasoning distributed was selected in the range of (l75 to 250) n/mm²which is already verified in the crisp or conventional method. the confirmation experimental is used to verify whether the predicated output responseonthe tensile stress based on the same levels of the combination of factors (variables) range and here two of which could called main factors entered with no exact value and that could be localized for whole welding environment where this could show extreme benefits for others more sophisticated cases with the lackof some processes information. if conclusive results are obtained from the confirmation run, a specific action on the process may be taken for improvement. a confirmatory run/experiment (or follow-up experiment) is necessary in order to verify the results from the statistical analysis (for future work). this is to demonstrate that the factors and levels chosen for the influential do provide the desired results. the insignificant factors should be set at their economic level during the verification run/experiment. however, observations with some out of range data for the general experimental essentially for the crisp situation and continuing in the particular range the fuzzycondition and this could be seen as a flow: 1. welding: time this factor strongly effects on tensile strength measure. the mean value of tensile strength in levels (0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, and 0.5). 2. sheet material: this factor explicitly affects the welding process and the mechanism of joint product where it has a wide range of levels. 3. stud material: this factor also effects in the stud welding process, the different value of tensile strength varies from one level to another. 4. sheet thickness: increasing sheet thickness; a thicker sheet is stiffer during mechanical testing and this minimizes the peel characteristic of the tests and increases strength. 5. welding current: this factor has the smallest effect factor where the effect of tensile strength in the level range (350 ampere) is 278.73 n/mm² for an instant. 5. references [1] jibsonj.”advance welding”, john wiley & sons, 1997. [2] montgomery d.c” design and analysis of experiments” second edition john wiley &sons, inc., 2001. [3] hu ping, bo jun (weihaicampus,harbin university of technology,weihai,264200,china) anew stud welder bolt welder in generating arc by computer auto-detecting http://en.cnki.com.cn/journal_en/c-c000 jlgy-2001-03.htm. [4] 4arabshahi, p.; marks, r.j., ii; seho oh; caudell, t.p.; choi, j.j.; bong-gee song; jet propulsion lab., california inst. of technol., pasadena, ca + arabshahi, p.+m pointer adaptation and pruning of mini-max fuzzy inference and estimation ieee volume: 44 issue: 9 issn: 1057-7130. [5] l. a. zadeh the adoption of fuzzy logic in the mathematics curriculum. .....controllers, controllers for robot arc-welders, stud., vol. 12, 1980, pp. 11-23 (1965). [6] nabeel. k.” taguchi experimental design and artificial neural network solution of stud arc welding process “university of baghdad college of engineering 2010. [7] m. j. arnest application to arc welding, in industrial processes," int. j. general systems, controller," int. j. man-mach. stud.7, pp.1-13. “in proceedings of i ee.2007 [8] samuel h. huang and hong-chao zhang neural-expert hybrid approach for intelligent manufacturing: a survey (elsevier)science direct volume 26, issue 2, may 1995, pages 107-126 [9] vahdani, behnam; hadipour, hasan; sadaghiani, jamshidsalehi; amiri, maghsoudextension of vikor method based on the interval value fuzzy set. springer, february 24, 2010. [10] shi bao-shan,li . fuzzy logic control strategy for submerged arc automatic welding of digital controllingcnki: sun: gwdz.0.pp-04-038-2009. http://en.cnki.com.cn/journal_en/c-c000 )2013( 18، صفحة 1، العدد9مجلة الخوارزمي الھندسیة المجلد نبیل كاظم عبد الصاحب 8 المظببتعظیم تقنیة لحام القوس المسماري بواسطة االنتفاع من مقاربة المنطق **عامر عبد المنعم موسى* نبیل كاظم عبد الصاحب *جامعة ذي قار جامعة بغداد/ كلیة الھندسة الخوارزمي /قسم ھندسة التصنیع المؤتمت** n_k_alsahib@yahoo.com :البرید االلكتروني* amermoosa@yahoo.com :االلكترونيالبرید ** ةالخالص في ھذا البحث . ان دراسة تطبیق لحام القوس المسماري باسلوب المنطق المظبب لمدخالت عملیة اللحام اثبتت فاعلیتھا في تحسین ظروف عملیة اللحام المجال و التطرق لبعض البحوث المتعلقھ بھذه العملیھ ونقاط التطور و التعزیز لصناعة لحام القوس المسماري ثم تم تطبیق اثر المنطق الظبابي في ھذا .لمكینة او مھارة اللحام ةبوجود عدم الدق ةعملی ةمقارنة ھذا مع تطبیق اللحام لحال لقد .حام ونوع التغلیف والجھد الكھربائي واخیرا شكل مسمار اللحام تم دراسة خمس نقاط اساسیھ لمدخالت عملیة اللحام وھي زمن اللحام وسمك لوح الل .للتیار المستخدم في عملیة اللحامتم اختیار اثنان من المدخالت لتدخل باسلوب المنطق المظبب لتولیفة مجموع المدخالت وھي زمن اللحام والجھد الكھربائي .صحیح للعملیھ التصنیعیھ بشكل عامووجد ھناك دقھ وت) ةالقیمھ الثابت( ةوالتقلیدی ةالحالتین المظببوللتحقق من صحة النتائج تم مقارنة المخرجات في كال تم استخدام برنامج الماتالب واسلوب واجھات .ونتیجھ لذلك مكن ھذا االمر من الحصول على عملیات اتخاذ قرار لبعض الحاالت دون تنفیذھا بشكل واقعي ملم للقطر ولوح معدني معیاري عالمي مع التحقق من ٦بسمك ةمعیاری ةمن المسمار وبمواصف ةمعین ةلبحث تم استخدام ماركالمستفید للمحاكات ولھذا ا . لعملیة اللحام ةوالمظبب ةمن خالل فحوصات الشد لعینات مختاره ولكال الحالتین القیمھ الثابت ةالتصنیعی ةمجمل العملی mailto:n_k_alsahib@yahoo.com mailto:amermoosa@yahoo.com تغريد al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 7, no. 4, pp 54-60 (2011) back stepping-based-pid-controller designed for an artificial pancreas model taghreed m. mohammad ridha mina qais kadhum shaimamahmou mahdi department of control and systems engineering /university of technology email: teeta.control@yahoo.com (received 2 march 2011; accepted 20 september 2011) abstract artificial pancreas is simulated to handle type i diabetic patients under intensive care by automatically controlling the insulin infusion rate. a backstepping technique is used to apply the effect of pid controller to blood glucose level since there is no direct relation between insulin infusion (the manipulated variable) and glucose level in bergman’s system model subjected to an oral glucose tolerance test by applying a meal translated into a disturbance. backstepping technique is usually recommended to stabilize and control the states of bergman's class of nonlinear systems. the results showed a very satisfactory behavior of glucose deviation to a sudden rise represented by the meal that increase the blood glucose keywords: type i diabetes, backstepping, bergman’s model, oral glucose tolerance test. 1. introduction with more than 246 million affected people worldwide, diabetes mellitus is one of the most widespread diseases and causes 3.8 million deaths per year, similar to hiv/aids [1]. any patient that suffers from diabetes that does properly receives the insulin cure can lead to complications such as nerve damage, brain damage, amputation and eventually death. diabetes related complications are a worldwide epidemic with high medical, economic and social costs [2]. the normal blood glucose concentration level in the human body varies in a narrow range (70 110 mg/dl). if for some reason the human body is unable to control the normal glucose-insulin interaction (e.g. the glucose concentration level is constantly out of the above mentioned range), diabetes is diagnosed. as a result four types of diabetes are known: type i (also known as insulin-dependent diabetes mellitus), type ii (or insulinindependent diabetes mellitus), gestational diabetes and other special types, like genetic deflections [3]. type i diabetes mellitus is characterized by theinability of the beta cells of the pancreas islets to produceinsulin, which is essential for the uptake of glucose in themuscles and storage in the liver [1].as known, insulin dosing is divided into two divisions: basal and bolus insulin. the basal insulin is required for fasting conditions; while bolus insulin is calculated to correct for meals or hyperglycemia condition. both dosages should be adjusted over time. the development of external insulin infusion pumps as well as the introduction of rapid-acting insulin analogues has made automated intensive insulin therapy feasible [4]. automatic controllers are needed to adjust the insulin therapy according to the measurements of glucose concentrations as illustrated in figure (1). automatic control of insulin infusion rate especially for type i diabetes proved its ability to give satisfactory results. different types of automatic controllers are used in the literature. a. makroglou et al[5] introduced an overview of some of the mathematical models appearing in the literature for use in the glucose-insulin regulatory system in relation to diabetes, enhanced with a mailto:teeta.control@yahoo.com taghreed m. mohammad al-khwarizmi engineering journal, vol. 7, no. 4, pp 54 -60 (2011) 55 survey on available software. while l. kovács et al [6] presented a practical method for designing arobust controller to regulate glucose-insulin system for type 1 diabetic patients under intensive care. also l. kovács et al [7] investigated the possibility of using a reduced order estimator for the three-state minimal bergman model. f. h. el-khatib et al [8] used an automated adaptive glucose-control system to regulate blood glucose, and showedthe plausibility and practicality of closed-loop bloodglucose control using subcutaneous insulin and glucagon infusion in type i diabetes. g. marchetti et al [9] proposed a new glucose control strategy based on a novel combination of insulin boluses for meals and an improved pid control algorithm. h. kirchsteiger et al [1] showed that it is possible to improve the common treatment of type i diabetic patients by optimization of the time and quantity of single subcutaneous insulin injections. y. wang et al [4] proposed an algorithm can take advantage of frequent glucose measurement to design the basal and bolus insulin simultaneously. two modern robust control methods are applied by l. kovács et al [10] the minimal model of bergman: the disturbance rejection lq control or minimax control and the robust h∞ control. in this work back stepping based pid controller analyzed and simulated the three states bergman model which is the widely used mathematical model due to its simplicity. fig.1. feedback control for blood glucose. 2. bergman's system model several different models of diabetic systemsexist, for example the very detailed 21thorder metabolic model of sorensen. however, to have a system that on one hand, can be readily handled from the point of view of control design, but on the other hand represents the biological process properly, the bergman’s three-state minimal patient model is considered.[6,7,10] …(1) where g(t) is the plasma glucose concentration above the basal level gb (mg/dl), x(t) (1/min)is remote compartment insulin utilization, y(t) is the plasma insulin concentration above a basal value yb (mu/dl). the control variable is theexogenous insulin infusion rate, i(t) (mu/min), whereas the exogenous glucose infusion rate h(t) (mg/dl min)represents the disturbance.vl(dl) representsthe insulin distribution volume and p1, p2, p3, p4 represent the model parameters. as numerical values the authors worked with the numerical values determined by: p1 = 0.028, p2 = 0.025, p3 = 0.00013, p4 = 5/54, gb = 110, yb = 1.5, vl = 120[6].in order to linearize the system, its steadystate values are needed: g0 = x0 = y0 = 0, h0 = 0, and for i0= p4ybvl= 16.667,the system proved to be stable, controllable and observable [10]. 3. backstepping based pid controller a backstepping technique is proposed to backbone the design of the pid controller. backstepping is a technique developed during taghreed m. mohammad al-khwarizmi engineering journal, vol. 7, no. 4, pp 54 -60 (2011) 56 1990 by petar v. kokotovic and others, for designing stabilizing controls for a special class of nonlinear dynamical. these systems are built from subsystems that radiate out from an irreducible subsystem that can be stabilized using some other method. because of this recursive structure, the designer can start the design process at the known-stable system and "back out" new controllers that progressively stabilize each outer subsystem. the process terminates when the final external control is reached. hence, this process is known as backstepping[11]. to apply the backstepping approach, each of the three equations in (1) is considered separately. now starting from the first equation: the state is regarded as the plasma glucose deviation (mg/dl), the virtual input is the remote compartment insulin utilization (1/min) and the disturbance is the exogenous glucose infusion rate (mg/dl min). a p controller is designed with as a virtual input. the second equation considered which has the remote compartment insulin utilization as a state variable and the plasma insulin deviation as the virtual input is considered. the virtual input for the second system will be designed to regulate the error between the remote compartment insulin utilization , the state, and its value as a virtual input (desired value) in the first equation. again a p controller for the second virtual input is designed. finally, the actual controller will be used as a pid controller to regulate the difference between the plasma insulin deviation and its value as a virtual controller as shown in figure (2). in addition, consider the following: all the parameters in equation (1) are uncertain but bounded; the disturbance is unknown but a bounded quantity, namely …(2) and also, …(3) the two virtual controllers and the actual controller are bounded: ...(4) fig.2.back stepping based pid approach used with bergman's model. 4. simulation results bergman's model comes with an artificial pancreas with two inputs: the ingested glucose in plasma after a meal reflected by the disturbance function h(t) and insulin from an external injection i(t) that plays the controllers role. the disturbance function employed here is smooth, continuously differentiable, has zero initial conditions, easily implemented and physiologically accurate function [2]: …(5) where hmis the peak value, a, b, c are constants which determine the exact shape. figure (3) shows the normal behavior of bergman's model when exposed to the disturbance which is the oral glucose tolerance test ogtt. there is a monotonic rise in the basal blood sugar by 32 mg/dl until the normal insulin initially existed treats this rise and guide it again to its basal level within . figure (4) illustrates the disturbance of oral food ingestion model. the backstepping approach determines how to stabilize the subsystem using , and then proceeds with determining how to derive the real control action on i to make the next state drive to the control required to stabilize . taghreed m. mohammad al-khwarizmi engineering journal, vol. 7, no. 4, pp 54 -60 (2011) 57 fig .3. normal plasma glucose deviation in response to ogtt. fig.4. exogenous glucose infusion (ogtt). hence there are three control actions to stabilize each state backward. theactual input signal the insulin infusion rate is controlled by pid controller tuned to kp3 =0.0627, ki =0.0010, kd= 0.8240 to stabilize the plasma insulin deviation y(t), at this step a p controller is designed with to stabilize remote compartment insulin utilization , which finally derives the glucose deviation to the originusing unity proportional controller ( ) when the system issubjected to the meal disturbance illustrated previously; the glucose deviation response of figure (5) is obtained and the basal glucose level is illustrated in figure (6). figure (7) illustrates the insulin infusion rate while the other systems states are in figures (8, 9). fig.5. controlled plasma glucose deviation using backstepping based pid controller exposed to ogtt. figure (6): basal glucose level controlled by backstepping pid. taghreed m. mohammad al-khwarizmi engineering journal, vol. 7, no. 4, pp 54 -60 (2011) 58 fig.7. backstepping pid controlled insulin infusion rate. fig.8. plasma insulin utilization controlled by backstepping pid. the backstepping pid perfectly enhanced the glucose transient response to have a maximum peak of 0.8 mg/dl which is less than 1% of basal level gb=110, also it guided the blood glucose through controlling the insulin infusion rate to the basal level very fast in backstepping technique was very useful to gain this excellent behavior with the three control and stabilizing steps. fig.9. plasma insulin deviation controlled by backstepping pid . these results are compared to those obtained by l. kovács et al [10] who used modified minimax, lq and controllers to regulate insulin infusion rate as illustrated in table (1). table (1) controller settlin g time (min.) glucose peak (mg/dl) insulin infusion highest level (mu/min.) minimax 252 11.7 18.3 lq 374 24.6 17.5 456.25 16.5 33.25 backstepping pid 570 0.8 19 5. conclusions glucose deviation of bergman's model for artificial pancreas is regulated by designing backstepping pid controller that directs the insulin infusions rate which stabilize the other two states backward until the glucose deviation is driven to zero after it's excitation by a sudden meal disturbance function that represents the taghreed m. mohammad al-khwarizmi engineering journal, vol. 7, no. 4, pp 54 -60 (2011) 59 ogtt. excellent behavior is obtained on both aspects moderate speed and minimum overshoot. the results are compared to these presented by l. kovacs. the proposed controller proved a very efficient behavior by giving the lowest glucose deviation peak even less than 1% of the basal level in 213min. backstepping technique is very much recommended to control such class of nonlinear systems and it is a good base to design any controller like pid that was fairly capable of handling the regulatory problem. 6. references [1] h. kirchsteiger, l. del re, e. renard and m. mayrhofer, " robustness properties of optimal insulin bolus administrations for type 1 diabetes", hyatt regency riverfront, st. louis, mo, usa june 10-12, 2009. [2] j. geoffrey chase, z-h lam, j-y lee and ks hwang, " active insulin infusion control of the blood glucose derivative", seventh international conference on control, automation, robotics and vision (icarcv'02), dec 2002, spingapore. [3] a. györgy, l. kovács, t. haidegger and b. benyó, "investigating a novel model of human blood glucose system at molecular levels from control theory point of view ", acta universitatis sapientiae, electrical and mechanical engineering, 1 (2009) 77-92. [4] y. wang, , e. dassau, , and f. j. doyle, " closed-loop control of artificial pancreatic β-cell in type 1 diabetes mellitus using model predictive iterative learning control", ieee transactions on biomedical engineering, vol. 57, no. 2, february 2010. [5] a. makroglou, j. li , y. kuang, " mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview", applied numerical mathematics 56 (2006) 559–573. [6] l. kovács, b. paláncz, b. benyó, l. török and z. benyó, " robust blood-glucose control using mathematica",ieee, new york city, usa, aug 30-sept 3, 2006. [7] l. kovács, b. paláncz and z. benyó , "design of luenberger observer for glucose-insulin control via mathematica", ieee embs, lyon, france august 23-26, 2007. [8] f. h. el-khatib, j. jiang, and e. r. damiano," adaptive closed-loop control provides blood-glucose regulation using dual subcutaneous insulin and glucagon infusion in diabetic swine", journal of diabetes science and technology volume 1, issue 2, march 2007. [9] g. marchetti, m. barolo, l. jovanovic, h. zisser, and d. e. seborg, " an improved pid switching control strategy for type 1 diabetes", ieee transactions on biomedical engineering, vol. 55, no. 3, march 2008. [10] l. kovács, b. paláncz, e. borbély, b. benyó and z. benyó, " robust control algorithms for blood glucose control using mathematica",actaelectrotechnica et informatica, vol. 10, no. 2, 2010, 10–15. [11] http//:www.wikipedia.org. http://www.wikipedia.org )2011( 5460 ، صفحة4 ، العدد7مجلة الخوارزمي الھندسیة المجلد تغرید محمد محمدرضا 60 مستند على الخطوات التراجعیة مصمم -تفاضلي-تكامليمسیطر تناسبي لنموذج بنكریاس صناعي شیماء محمود مھدي مینا قیس كاظم تغرید محمد محمدرضا الجامعة التكنولوجیة/ سم ھندسة السیطرة والنظمق teeta.control@yahoo.com : االلكتروني البرید الخالصة ریاس صناعي لیتم معالجة مرضى النوع االول من مرض السكري تحت الرعایة الخاصھ عن طریق السیطرة االوتوماتیكیھ على تم تنفیذ بنك التفاضلي على مستوى الجلوكوزفي -التكاملي-تقنیة الخطوات التراجعیھ ھي التي استخدمت الضافة تأثیر المسیطر التناسبي. نسبة ضخ االنسولین والذي تعرض bergman نموذجاك عالقھ مباشرة بین المعامل المتغیر وھو ضخ االنسولین ونسبة الجلوكوز في الدم في بما انھ لیس ھن, الدم تقنیة الخطوات التراجعیھ ھي عادة موصى بھا لتحقیق االستقرار و السیطرة . اضطراب خارجيالختبار تحمل السكر الشفھي بتطبیق وجبة طعام ك قد اوضحت النتائج تصرف مقنع جدا الستجابة الجلوكوز الرتفاع مفاجئ ممثل بوجبة والتي .االنظمة الالخطیةمن bergmanعلى حاالت نمط .تسبب زیادة نسبة الجلوكوزفي الدم mailto:teeta.control@yahoo.com taghreed m. mohammad al-khwarizmi engineering journal, vol. 7, no. 4, pp 54 -60 (2011) 61 )2011( 5460 ، صفحة4 ، العدد7مجلة الخوارزمي الھندسیة المجلد تغرید محمد محمدرضا 60 يوسف خلف al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 8, no. 3, pp 1223(2012) experimental & theoretical analysis of composite (polyester & silicon-carbide) cantilever beam yousif k. yousif ministry of higher education and scientific research/ research & development department email: yousifky@gmail.com (received 2 april 2012; accepted 24 july 2012) abstract a cantilever beam is made from composite material which is consist of (matrix: polyester) and (particles: siliconcarbide) with different volume fraction of particles. a force is applied at the free end of beam with different values. the experimental maximum deflection of beam which occurs at the point of the applied load is recorded. the deflection and slope of beam are analyzed by using fem modeling. matlab paltform is built to assemble the equations, vector and matrix of fem and solving the unknown variables (deflection and slope) at each node. also ansys platform is used to modeling beam in finite element and solve the problem. the numerical methods are used to compare the results with the theoretical and experimental data. a good agreement is observed between the above methods. the increase in volume fraction of particles results in increasing the modulus of elasticity and decreasing the deflection of beam. an equation is suggested for modulus of elasticity as functions of volume fraction. keywords: composite beam, fem, polyester, silicon-carbide. 1. introduction structures composed of composite materials offer lower weight and higher strength and stiffness than those composed of most metallic materials. that, coupled with advances in the manufacturing of composite materials and structures, gave them an edge when compared with normal engineering materials and led to their extensive use under complex mechanical and environmental loading. these composite structures can be modeled as simply supported beam or clamped beams. presents numerical and experimental results of active compensation of thermal deformation of a composite beam using piezoelectric ceramic actuators finite-element modeling and experimental results agree well and demonstrate that the proposed method can actively perform structural shape control in the presence of thermal distortion [1]. an exact relationship between the slope increment of the beam end and the maximum slip at the support is presented, which makes possible an easy and accurate evaluation of the beam deflection increment. this relationship is alidated both by numerical and experimental results [2]. an efficient one dimensional finite element model has been presented for the static analysis of composite laminated beams, using the efficient layer wise zigzag theory. the present zigzag finite element results for natural frequencies, mode shapes of cantilever and clamped–clamped beams are compared with the two-dimensional finite element results obtained using abaqus to establish the accuracy of the zigzag theory fem for dynamic response under these boundary conditions [3]. investigated the effects of shear slip on the deformation of steel–concrete composite beams. the equivalent rigidity of composite beams considering three different loading types was first derived based on equilibrium and curvature compatibility, for full composite sections, the effective section modulus and moment of inertia calculated with the aisc specifications are larger than that of present study. for partial composite mailto:yousifky@gmail.com yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 14 sections, the aisc predictions are more conservative than the present study [4]. investigate the structural behavior of concreteencased composite beam–columns with t-shaped steel section. the test results indicate that the cyclic behavior and failure modes of the beam– columns are greatly affected by the direction of the bending moment owing to the unsymmetrical cross section. [5] reviews the available literature on the state of the art of prefabricated wood composite i-beams. the results of analytical and experimental investigations illustrate the effects of materials, joint, geometry, and environment on the short and long-term performance of i-beams.[6] 2. experimental work 2.1. composite material the material used in this work is made from composite material including: • matrix: polyester. • particle: powder of silicon-carbide a homogenous mixing of powder with the polyester is done with the following particles volume fraction: table 1, volume fraction of silicon-carbide particles. vp % 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 each volume fraction gives new composite mechanical properties as comparing with the matrix or particle. the important property of composite material here is the modulus of elasticity (e). the value of (e) depends on volume fraction, modulus of elasticity for each matrix and particle material and given by the following equation [7]: e=vmem+ vpep … (1) where: e: modulus of elasticity of composite material (n/mm2) vm: matrix volume fraction vp: particle volume fraction em: matrix modulus of elasticity (2000n/mm2) ep: particle modulus of elasticity (4*105n/mm2) to calculate the modulus of elasticity (e) for the composite material, sub the above value of (em,ep) and the values of (vm,vp) from table (1) in the above equation(1). the results values of (e) are given in table (2). table 2, modulus of elasticity for each volume fraction. vp % e(n/mm2) 0.1 2398 0.2 2796 0.3 3194 0.4 3592 0.5 3990 0.6 4388 0.7 4786 0.8 5184 0.9 5582 1 5980 2.2. beam preparation and boundary conditions the sample of beam is made from composite material consist of (matrix: polyester) and (particle: silicon carbide). the beam sample is made with different volume fraction as mentioned. the geometry of beam is shown in fig. (1) : fig. 1. cantilever beam with free end load. *rectangular cross sectional area with: width: b= 13 mm. height: h= 6 mm. *length: l= 191 mm. a concentrated load is applied at the free end of beam length (x=l) to give a maximum deflection at this point. the state of boundary conditions for cantilever beam is given as follow: deflection & slope=0 at (x=0). the values of forces used in this work are given in table (3). table 3, the values of load used. p(n) 0.981 1.962 2.943 3.924 4.905 5.886 yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 15 3. theoretical analysis the deflection of concentrated force beam (fig.(1)) given in the following equation[8]: ei lpx ei pxy 26 23 −== δ …(2) hence, the maximum deflection occurred at the free end(x=l): ei pl 3 3 =δ …(3) differentiate eq.(2) to give the slope of beam (θ=dy/dx): ei pxl ei pxdxdy −== 2 / 2 θ …(4) where: i: moment of inertia. its equation in this work is: 12 3bhi = …(5) the beam dimensions (b=13 mm; h=6 mm), therefore, the value of i is: i= 234mm4. 4. finite element method the analysis of finite element equations is based on the euler-bernoulli equation for beam bending [9, 10, and 11]: ),()( 2 2 2 2 2 2 txq x vei xt v = ∂ ∂ ∂ ∂ + ∂ ∂ ρ …(6) where: v(x,t): transverse displacement of the beam. ρ: mass density per volume. ei: beam rigidity. q(x,t): external applied pressure loading. t,x :time and spatial axis along the beam axis. applying one of the methods of weighted residual, galerkin’s method, to the beam equation (eq.(6)) to develop the finite element formulation and the corresponding matrix equations. the weight residual of eq.(6) is : ∫ =− ∂ ∂ ∂ ∂ + ∂ ∂l wdxq x vei xt v 0 2 2 2 2 2 2 0))((ρ …(7) where: l: length of beam. w: a test function. describe the beam in to a number of finite element, integrate eq.(7) by parts twice for the second term gives: ∫ ∫ ∫ ∑ = ∂ ∂ −+− ∂ ∂∂ + ∂ ∂ = = e e eω ω l 0m ω 2 22 2 2 n 1i 0] x wm[vq]wdxqdx x wveiwdx t vρ [ii …(8) where: .: .: .: .: 2 2 3 3 beamforelementsofnumbern domainelementan momentbending x veim forceshear x veiv e m ω ∂ ∂ = ∂ ∂ = the shape function is considered in term of nodal variable. assume beam element have two nodes one at each end as shown in fig. (2). fig. 2. deflection and slope of each node in element. the deformation of beam must have continuous slope as well as continuous deflection at any neighboring beam elements (slope: θi, deflection: vi), as nodal variables. the eulerbernoulli equation for beam bending is based on the assumption that the plane normal to the neutral axis before deformation remains normal to the neutral axis after deformation. the deflection equation is assumed as a cubic polynomial: 3 3 2 21)( xcxcxccxv o +++= ...(9) the slope can be found by differentiate eq.(9) w.r.t. x as follow: 2 321 32)( xcxccx ++=θ …(10) the deflection and slope at each node yield: yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 16 2 2 321 3 3 2 21 11 1 32)( )( )0( )0( θθ θθ =++= =+++= == == lclccl vlclclcclv c vcv o o …(11) solving eq.(11) for ci in term of nodal variable (deflection and slope) and substituting the results into eq.(9) gives: 24 231211 )( )()()()( θ θ xh vxhxhvxhxv + ++= …(12) where: 2 32 4 3 3 2 2 3 2 32 2 3 3 2 2 1 )( 23)( 2)( 231)( l x l xxh l x l xxh l x l xxxh l x l xxh +−= −= +−= +−= …(13) the function hi are called hermitian shape function. application of this function and galerkin’s method to the second term of eq.(8) results in the stiffness matrix of the beam element. that is : ∫= l te dxbeibk 0 ][][][ …(14) where: },,,{][ 4 '' 3 '' 2 '' 1 '' hhhhb = …(15) the corresponding element nodal degrees of freedom are: }{}{ 2211 θθ vvd e = …(16) differentiate the shape function twice and sub the results in eq.(15) which can be sub in eq.(14) to find the integration results of the element stiffness matrix as follows:             − −−− − − = 22 22 3 4626 612612 2646 612612 ][ llll ll llll ll l eike …(17) the third term of eq.(8) represented as a concentrated load in this work, fig. (3), the element force vector is :               =               −=∫ )( )( )( )( )(}{ 04 03 02 01 0 4 3 2 1 xh xh xh xh pdx h h h h xxpf o l oo e δ …(18) where: po: the concentrated load applied at x=xo. δ(x=xo) : dirac dilta function. fig. 3. the location of concentrated load in element. for the static bending analysis of beams, the first term of eq.(8) which is the inertia force is neglected. the last term in the same above equation is the boundary conditions of shear and bending moment at the two points (x=0 & x=l). only a concentrated force is used at the free end of beam, therefore, the last term of eq.(8) will neglect. assembling the element stiffness matrices and vector results in the system matrix equation given below: }{}]{[ fdk = …(19) 4.1. finite element programming the finite element method [12] has been done using a matlab platform. the steps of this platform are shown in fig. (4) and explained as follows: step (1): in this step, it assumed that the number of element used is five with (6 nodes). each node has two degree of freedom. step (2): material properties represented by input the modulus of elasticity for each value of volume fraction which is described in table (2) of the experimental work. input the beam dimensions included the width, height and its length. step (3): in finite element analyzing, it assume a half beam due to symmetry; therefore the boundary conditions will be: at the fixd end (x=0, deflection=0, slope=0). yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 17 step (4):the applied load will concentrate at the free end of beam and its value be (f). step (5): element stiffness can be evaluated from eq.(17). step (6): global element stiffness has been evaluated for the half beam as matrix of dimension (12*12). step (7): solve eq.(19) to give the deflection and slope at each node. fig. 4. steps of finite element method. 5. beam modeling in ansys platform ansys 11 platform is used to analyze the deflection and slope of beam which is defined by ten elements (11 nodes) as shown in fig. (5). the material property (e), beam dimensions (b,h,l) and boundary conditions is given as input data from the experimental work. also the concentrated load is applied at the free end of beam length (node 11: x=l). fig. 5. element and node numbering of beam in ansys platform. 6. the result the experimental results are plotted in figures (6-15) for wide range of concentrated force. each figure represent the variation of maximum beam deflection (at x=l) with the applied concentrated load at the same point for each volume fraction mentioned in the experimental work. theoretical, finite element method and the analyzing of beam deflection using ansys paltform are used here to compare the result data of those methods with the experimental data. basically, increasing the concentrated load results in increasing the deflection of beam. the models of fem and ansys platform for analysis the deflection of beam gives a good agreement with the theoretical analysis as well as with the experimental data. in general, the relation between the applied load and the deflection has a linear function. as it has been observed, the experimental data are alternate about the theoretical, fem and ansys results with small error. a scatter experimental data are observed which may be due to the mistake recording of equipment. variation of maximum deflection with volume fraction for each load is shown in figure (16). increasing the volume fraction of silicon-carbide particles results in decreasing the deflection with a smooth curve . this is due to increasing the modulus of elasticity of composite material with increasing the volume fraction of particles as in table (2). yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 18 fem and ansys platform gives the deflection for each point of beam as well as the slope of beam at each point. a sample results is choose for the applied load (p=5.886 n) and volume fraction (vp=0.1%) shown in figure (17). a good agreement is observed as comparing the numerical method with the theoretical equation. the deformed shape resulted from the ansys platform for the same above force and volume fraction is shown in figures (18 & 19) for deflection and slope results respectively. on the other hand another suggested equation can be found for the modulus of elasticity for composite material of this work as a function of volume fraction of particle. figure (20) show the graph of modulus of elasticity with particle volume fraction. the linear equation can be represented as follow: e(vp) = 2000 + 398000 * vp … (20) where (em=2000 gpa), the above equation can be written in another form as follow: e(vp)=em+398000*vp …(21) 0 2 4 6 force (n) 0.0 5.0 10.0 15.0 20.0 25.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 6. variation of deflection with the applied force (vp=0.2%). 0 2 4 6 force (n) 0.0 5.0 10.0 15.0 20.0 25.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 7. variation of deflection with the applied force (vp=0.1%). 0 2 4 6 force (n) 0.0 4.0 8.0 12.0 16.0 20.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 8. variation of deflection with the applied force (vp=0.3%). yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 19 0 2 4 6 force (n) 0.0 4.0 8.0 12.0 16.0 20.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 9. variation of deflection with the applied force (vp=0.4%). 0 2 4 6 force (n) 0.0 4.0 8.0 12.0 16.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 10. variation of deflection with the applied force (vp=0.5%). 0 2 4 6 force (n) 0.0 4.0 8.0 12.0 16.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 11. variation of deflection with the applied force (vp=0.6%). 0 2 4 6 force (n) 0.0 4.0 8.0 12.0 16.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 12. variation of deflection with the applied force (vp=0.7%). yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 20 0 2 4 6 force (n) 0.0 4.0 8.0 12.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 13. variation of deflection with the applied force (vp=0.8%). 0 2 4 6 force (n) 0.0 4.0 8.0 12.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 14. variation of deflection with the applied force (vp=0.9%). 0 2 4 6 force (n) 0.0 2.0 4.0 6.0 8.0 10.0 m ax im um d ef le ct io n (m m ) theoretical fem ansys experimental fig. 15. variation of deflection with the applied force (vp=1%). 0.0 0.4 0.8 1.2 volume fraction vp % 0.0 5.0 10.0 15.0 20.0 25.0 m ax im um d ef le ct io n (m m ) f=0.981 n f=1.962 n f=2.943 n f=3.924 n f=4.905 n f=5.886 n fig. 16. variation of deflection with the volume fraction . yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 21 0 40 80 120 160 200 the distance (x,mm) 0e+0 4e-2 8e-2 1e-1 2e-1 2e-1 sl op e dy /d x theoretical fem ansys fig. 17. variation of slope with the distance (x). fig. 18. variation of deflection along beam length for (p=5.886 n) and (vp=0.1%), ansys platform. fig. 19. variation of slope along beam length for (p=5.886 n) and (vp=0.1%), ansys platform. 0.0 0.4 0.8 1.2 volume fraction vp % 2000 3000 4000 5000 6000 m od ul us o f e la st ic ity (e ) , m p a. fig. 20. variation of (e) with volume fraction. yousif k. yousif al-khwarizmi engineering journal, vol. 8, no.3, pp 1223(2012) 22 7. conclusions the theoretical fem analysis for the deflection of beam gives a good agreement with the experimental results. experimental increasing the volume fraction of siliconcarbide particles, decreasing the deflection of beam for the same applied force & increasing the modulus of elasticity of composite material with increasing the volume fraction of particles. theoretical the slope calculated from the fem and ansys program gives a good agreement comparing with the theoretical equation. the relation between the deflection reduction and the volume fraction is suggested as a polynomial third order equation. a linear equation for the modulus of elasticity for the composite material as a function of volume fraction and matrix modulus of elasticity is observed and the fitting of this equation is suggested. 8. references [1] g. song1, x. zhou and w. binienda “thermal deformation compensation of a composite beam using piezoelectric actuators” smart materials and structure, institute of physics publishing, smart mater. struct. 13 (2004) 30–37 . [2] p. gelfi and e. giuriani “influence of slabbeam slip on the deflection of composite beams” international journal for restoration of buildings and monuments vol. 9, no 5, 475–490 (2003) [3] m. naushad alam and nirbhay kr. upadhyay “finite element analysis of laminated composite beams for zigzag theory using matlab” international journal of mechanics and solids , issn 0973-1881 volume 5, number 1 (2010), pp. 1-14 [4] jianguo nie1 and c. s. cai, p.e., m.asce “steel–concrete composite beams considering shear slip effects”, journal of structures engineering asce / april 2003. [5] cheng-chih chen, jian-ming li, c.c. weng , “experimental behavior and strength of concrete-encased composite beam–columns with t-shaped steel section under cyclic loading”, journal of constructional steel research 61 (2005) 863–881. [6] robert j. leichti , robert h. falk and theodore l. laufenberg “prefabricated wood composite i-beams: a literature review ” wood and fiber science, 2(1), 1990, pp. 6279. [7] autar k. kaw “ mechanics of composite materials” taylor & francis group, llc,2006. [8] lloyd hmilton donnell “beams, plates and shells” mcgraw-hill, inc. 1976. [9] o.c. zienkiewics, frs. “the finite element method” mc. graw hill book company (uk) limited 1977. [10] tirupathir. chandrupathla and ashok d.belegundu “finite element in engineering” prentice/hall of india,1977. [11] james doyle “finite element methods” john wiley & sons, ltd 2004. [12] hinton and d.r.j. owen. “ finite element programing” academic press inc. (london) ltd.1983. )2012( 23 -12، صفحة3، العدد8 مجلة الخوارزمي الھندسیة المجلد یوسف یوسف خلف 23 لعتبة مثبتة) السیلكون دالبولیستر ودقائق كاربی(التحلیل النظري والعملي للمادة المركبة یوسف خلف یوسف دائرة البحث والتطویر /وزارة التعلیم العالي والبحث العلمي yousifky@gmail.com : االلكتروني البرید ةالخالص ان القوى . بقیم مختلفة من الكسر ألحجمي) السیلكون -دالبولیستر ودقائق كاربی( وحرة من طرف اخر من المادة المركبة طرفتم تصنیع عتبة مثبتة من م تحلیلھ باستخدام طریقة انحراف ومیالن العتبة ت. قیم أقصى انحراف للعتبة و قرأت مختبریا عند نقطة تسلیط القوة. المسلطة عند النھایة الحرة للعتبة ) االنحراف والمیالن( وحل المتغیرات المجھولة matlabحیث تم تجمیع معادالت، متجھات ومصفوفة ھذه الطریقة باستخدام برنامج . العناصر المحددة ستخدمت لمقارنة النتائج مع النتائج النظریة الطرق العددیة ا. لتحلیل العتبة بطریقة العناصر المحددة) ansys( أیضا تم استخدام برنامج أل. عند كل عقدة .ان زیادة الكسر الحجمي للحبیبات أدى إلى زیادة معامل المرونة ونقصان انحراف العتبة. نتائج النظریة والعملیةالتمت مالحظة توافق جید بین تلك . والعملیة mailto:yousifky@gmail.com shear lag in partially simply composite steel-concrete beams al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 76 (2012) effect of stiffeners on shear lag in steel box girders mohannad h. m. al-sherrawi ghaidak ahmed fadhil department of civil engineering/ college of engineering/university of baghdad email: mhnd7@yahoo.com (received 14 july 2011; accepted 10 january 2012) abstract this paper studies the effects of stiffeners on shear lag in steel box girders with stiffened flanges. a threedimensional linear finite element analysis using staad.pro v8i program has been employed to evaluate and determine the actual top flange stress distribution and effective width in steel box girders. the steel plates of the flanges and webs have been modeled by four-node isoparametric shell elements, while the stiffeners have been modeled as beam elements. different numbers (4, 8, and 15) for the steel stiffeners have been used in this study to establish their effects on the shear lag and longitudinal stresses in the flange. using stiffeners reduced the magnitude of the top flange longitudinal stresses about 40%, but didn’t affect the shear lag. keywords: shear lag, effective width, box girder, stiffeners. 1. introduction a box girder is a beam which has the shape of a hollow box. the box girder normally comprises either structural steel, prestressed concrete, or a composite of steel and reinforced concrete. the box is typically rectangular or trapezoidal in cross-section. box girder bridges are commonly used for highway flyovers and for modern elevated structures of light rail transport. although normally the box girder bridge is a form of beam bridge, box girders may also be used on cable-stayed bridges and other forms. 1.1. advantages and disadvantages compared to i-beam girders, box girders have a number of key advantages and disadvantages. box girders offer better resistance to torsion, which is particularly of benefit if the bridge deck is curved in plan. additionally, larger girders can be constructed, because the presence of two webs allows wider and hence stronger flanges to be used. this in turn allows longer spans. on the other hand, box girders are more expensive to fabricate, and they are more difficult to maintain, because of the need for access to a confined space inside the box. 1.2. shear lag the conventional engineering theory of bending assumes that plane sections remain plane, which means that shearing strains are neglected. the term shear lag is used to describe the discrepancies between the approximate engineering theory, and the real behavior that results in both the increases in the stresses in the flange component adjacent to the web component in a steel box girder, and to the decreases in the stresses in the flange component away from the web. as shown in figure (1), the longitudinal stress  yx at the flange of a box section distributes uniformly with b along the y-axis based on the elementary beam theory. however, at the intersection of the flange and web where y = ±b, the actual maximum longitudinal stress )by(max,x  is higher than the average longitudinal stress of b . this high stress of the transfer of the shear force from the web to the mailto:mhnd77@yahoo.com http://en.wikipedia.org/wiki/bridge http://en.wikipedia.org/wiki/box_girder http://en.wikipedia.org/wiki/structural_steel http://en.wikipedia.org/wiki/prestressed_concrete http://en.wikipedia.org/wiki/composite_material http://en.wikipedia.org/wiki/reinforced_concrete http://en.wikipedia.org/wiki/rectangle http://en.wikipedia.org/wiki/trapezoid http://en.wikipedia.org/wiki/cross_section_(geometry) http://en.wikipedia.org/wiki/overpass http://en.wikipedia.org/wiki/light_rail http://en.wikipedia.org/wiki/beam_bridge http://en.wikipedia.org/wiki/cable-stayed_bridge http://en.wikipedia.org/wiki/i-beam http://en.wikipedia.org/wiki/torsion_(mechanics) http://en.wikipedia.org/wiki/flange http://en.wikipedia.org/wiki/span_(architecture) http://en.wikipedia.org/wiki/confined_space mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 64 flange edge is called the shear lag phenomenon (timoshenko and goodier 1970). in the analysis of any box girder, it is important to take the effects of shear lag into account since these effects can lead to a significant increase in the longitudinal stresses developed in the flanges. fig. 1. typical box section under bending (timoshenko and goodier, 1970) . 1.3. staad.pro v8i staad.pro v8i is a comprehensive and integrated finite element analysis and design offering, including a state-of-the-art user interface, visualization tools, and international design codes. it is capable of analyzing any structure exposed to static loading, a dynamic response, soil-structure interaction, wind, earthquake, and moving loads. staad.pro v8i is the premier finite element method analysis and design tool for any type of project including towers, culverts, plants, bridges, stadiums, and marine structures 2. review of the previous studies shear lag has long been of interest to researches. firstly, shear lag in box girders was studied by reisser (1946). malcolm and redwood (1970) suggested analytical procedure using stiffener-sheet solution. moffatt and dowling (1975) studied the shear lag phenomenon in steel box girder bridges by means of the finite element method of analysis. kuzmanovic’ and graham (1981) found the minimum potential energy principle which was a suitable approach to evaluate the shear lag in box girders. foutch and chang (1982) investigated the effects of shear lag and shear deformation on the static and dynamic response of tapered thin-walled box beams. dezi and mentrasti (1985) discussed nonuniform normal longitudinal stress distribution (shear lag) in a trapezoidal box beam with lateral cantilever. chang and zheng (1987) analyzed shear lag and negative shear lag effect in cantilever box girders through variation approach and finite element techniques. the substructuring analysis method for shear lag stress using the conditions of compatibility and equilibrium was introduced by fafitis and rong (1996) lee and wu (2000) improved the inefficiency of traditional finite element analysis using uniform meshes in the solution of shear lag stress. wang (1997) derived an energy equation for the lateral buckling of thinwalled members with openings considering shear lag phenomenon. also, luo et al. (2001) studied the negative shear lag in box girder with varying depth. however, these studies recognized that the complicated equations are not so practical for the design of steel box girders. luo et al. (2002) carried out experimental study on the shear lag effect of box girder with varying depth. hwang et al. (2004) presented shear lag parameters for beam-to-column connections in steel box piers. zhibin lin and jian zhao (2010) used an energybased variation analysis to evaluate the aashto provisions for effective flange width. 2.1. shear lag in box beam under symmetrical flexure, the distributions of bending stress across wide flanges of a girder cross section are non-uniform. the bending stress near the web is much larger than that far from the web, as shown in figure (2-a). this phenomenon is usually noted as positive shear lag (chang and zhang, 1987). in a cantilever box girder with constant depth, under uniform load, at the region beyond 1/4 the cantilever length from the built-in end, the bending stress near the web is much smaller than that far from the web. this result is opposite to positive shear lag and is called negative shear lag as shown in figure (2-b) (chang and zhang, 1987). mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 65 fig. 2. shear lag effecta) positive shear lag, b) negative shear lag (chang and zhang, 1987). 2.2. effective flange width the effective width of a flange is the width of a hypothetical flange that compresses uniformly across its width by the same amount as the loaded edge of the real flange under the same edge shear forces. alternatively, the effective width can be thought of as the width of theoretical flange which carries a compression force with uniform stress of magnitude equal to the peak stress at the edge of the prototype wide flange when carrying the same total compression force (hamply, 1976). the effective width concept has been widely recognized and implemented into different codes of practice around the world. the effective width of a girder flange varies along the span and depends significantly on the load distribution, cross-sectional properties, and boundary conditions, as well as the plan dimensional of the girder (moffatt and dowling, 1975). effective width may be defined in a variety of ways depending on which design parameter is deemed more significant. it is generally obtained by integrating the rigorously calculated longitudinal stress in the flange, and dividing by the peak value of stress. and therefore b is calculated here by considering flange stress and is given by:   .max 0 x b x dy b    …(1) where _ b is one-side effective flange width, b is half flange width, σx represent the normal stress in the longitudinal direction, and (σx)max. is the maximum normal stress between 0 ≤ y ≤ b. in this work, the numerator of equation (1) was calculated by the approximate method by using trapezoidal rule; these calculations have been done by a computer program written for that purpose. the main aim of the present study is to investigate the effect of the stiffeners on the top flange longitudinal stress distribution and effective width in steel box girders by using finite element method to idealize the steel box girder. 3. finite element modeling staad.pro 2007 program was used to create three dimensional finite element model of the steel box girder. three-dimensional four-node isoparametric shell elements were used to model the steel plates, while the stiffeners were modeled by beam elements. the steel model used for all components in the girder model was linear/elastic, the elastic modulus used was 29,000 ksi and the poisson’s ratio was 0.3 (astm a36). the steel box girder used as a reference throughout this paper is based on the cross-section shown in figure (3). the simply supported girder has a width that equals 144 in., a depth that equals 72 in., and a length that equals 720 in. the thickness of the steel plates equals 0.5 in. the stiffeners of each flange is 4.5 in. 1 in. @ 9 in. c/c (total = 15). same stiffeners wear used for top and bottom flanges to fix the distance between the neutral axis and the top flange as the stiffener ratio changed. fig. 3. cross section of the reference steel box girder . 144 in. 7 2 i n . theoryelementary effect lagshear (a) (b) mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 66 the three-dimensional finite element mesh for the reference steel box girder used in staad.pro v8i program is shown in figure (4). fig. 4. three-dimensional finite. 4. parametric study ` in this section, influence of various parameters on top flange stress distribution and effective width in steel box girders were investigated. the parameters studied can be summarized as follows: 1. stiffener ratio (area of stiffeners/area of top flange). 2. distribution of stiffeners. 3. type of loading. 4. depth/width of the section. 5. length of girder. in this work, two types of loading are investigated, the magnitude of the two loads was selected to give equal deflection at the mid-span, and these two cases will be referred to in the following as: a. uniformly distributed load (udl) (150 kips) (on the overall flange). b. two concentrated loads (cl) (247 kips) at midspan (one on each web). the maximum top flange stresses (over the web) for different stiffener ratios with respect to the two types of loading (udl and cl) are listed in table (1), and the distributions of the top flange stresses are shown in figures (5 and 6) respectively. each set of lines represent the edge of the effective width for one web. adding stiffeners with area that equals the flange area decreases the maximum top flange stress in about 40%. the effective flange widths for different stiffener ratios with respect to the two types of loading are shown in table (2), and the distribution of the effective flange widths is shown in figures (7 and 8) respectively. it can be seen from the results obtained that:  the top flange longitudinal stresses decrease as the stiffener ratio increases. the decreasing ranged between 18% and 40%. this is due to the share of the stiffeners in the forces makes the stresses in the flange decrease.  the maximum top flange longitudinal stress over each web decreases as the stiffener ratio increases. the decreasing reached 40%.  the addition of stiffeners to the flanges results no effect on shear lag because the shear lag phenomenon does not affect the shape of the flange.  the effective width decreases slightly as the stiffener ratio increases (5% in case of udl and 13% in case of cl). table 1, maximum top flange stresses for different stiffener ratios with respect to the two types of loading (udl and cl). stiffener ratios maximum top flange stress udl cl beam length percentage beam length percentage 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.0 1067 1551 1964 2234 2328 664 1109 1627 2211 3356 0.5 880 1190 1464 1653 1719 521 813 1178 1625 2642 1.0 780 999 1195 1334 1385 436 646 930 1302 2239 mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 67 table 2, effective flange widths for different stiffener ratios with respect to the two types of loading. stiffener ratios effective flange width udl cl beam length percentage beam length percentage 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.0 93 127 135 136 136 104 139 143 140 111 0.5 80 119 129 132 133 92 134 140 135 103 1.0 73 113 125 128 129 86 131 138 132 96 another parameter, investigated is changing the number (4, 8, and 15) of the stiffeners with keeping the same area of the stiffeners. effect of distribution of stiffeners on maximum top flange stress and the effective flange widths are listed in table (3). figures (9 and 10) show the distribution of the top flange stress and the effective flange respectively. the results declare that there are no effects because the stiffeners have the same area in all three cases. table 3, effect of distribution of stiffeners on maximum top flange stress and the effective flange widths. number of stiffeners maximum top flange stress effective flange width beam length percentage beam length percentage 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 4 797 1022 1220 1361 1411 72 115 126 129 130 8 784 1005 1202 1339 1389 73 113 125 129 130 15 781 999 1195 1335 1385 73 113 125 128 129 table (4) shows the maximum top flange stresses and effective flange widths according to type of loading. the distribution of longitudinal normal stresses in the top flange has different shapes along the flange according to type of loading as shown in figure (11). the distribution of the effective flange widths which is due to type of loading is shown in figure (12). table 4, maximum top flange stresses and effective flange widths according to type of loading. type of loading maximum top flange stress effective flange width beam length percentage beam length percentage 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l udl 781 999 1195 1335 1385 73 113 125 128 129 cl 436 647 930 1302 2240 86 131 138 132 95 effect of the ratio depth/width on the maximum top flange stresses and the effective flange widths is listed in table (5), and the effect on the top flange stresses distribution and the effective flange widths distribution for different ratios is shown in figures (13 and 14) respectively. mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 68 table 5, effect of the ratio of depth/width on maximum top flange stresses and effective flange widths. depth/width maximum top flange stress effective flange width beam length percentage beam length percentage 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.5 781 999 1195 1335 1385 73 113 125 128 129 1.0 151 420 541 606 630 116 111 122 127 128 table (6) shows the effect of length of girder on the maximum top flange stresses and effective flange widths and figure (15 and 16) show the top flange stress distribution and the distribution of the effective flange widths for different lengths of the girder. table 6, effect of length of girder on maximum top flange stresses and effective flange widths. length of girder maximum top flange stress effective flange width beam length percentage beam length percentage 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 0.1 l 0.2 l 0.3 l 0.4 l 0.5 l 37.5 333 560 603 636 651 52 78 98 107 110 60.0 781 999 1195 1335 1385 73 113 125 128 129 82.5 1203 1667 2112 2392 2487 96 128 134 135 136 105.0 1676 2579 3330 3787 3940 114 135 137 138 139 (a) (b) (a) (b) mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 69 fig. 5. effect of stiffener ratio on top flange stress distribution (udl). (a) at 0.1 l (b) at 0.2 l (c) at 0.3 l (d) at 0.4 l (e) at 0.5 l. fig. 6. effect of stiffener ratio on top flange stress distribution (cl). (a) at 0.1 l (b) at 0.2 l (c) at 0.3 l (d) at 0.4 l (e) at 0.5 l (c) (d) (e) (c) (d) (e) mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 70 fig. 7. effect of stiffener ratio on the distribution of the effective flange widths (udl). ℄ effective width for single web fig. 8. effect of stiffener ratio on the distribution of the effective flange widths (cl). ℄ effective width for single web mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 71 fig. 9.effect of distribution of stiffeners on top flange stress distribution . (a) at 0.1 l (b) at 0.2 l (c) at 0.3 l (d) at 0.4 l (e) at 0.5 l. (a) (b) (c) (d) (e) fig. 10. effect of distribution of stiffeners on the distribution of the effective flange widths. ℄ effective width for single web mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 72 fig. 11. effect of loading on top flange stress distribution. (a) at 0.1 l (b) at 0.2 l (c) at 0.3 l (d) at 0.4 l (e) at 0.5 l. (a) (b) (c) (d) (e) fig. 12. effect of loading on the distribution of the effective flange widths . ℄ effective width for single web mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 73 fig. 13. effect of depth/width on top flange stress distribution. (a) at 0.1 l (b) at 0.2 l (c) at 0.3 l (d) at 0.4 l (e) at 0.5 l. (a) (b) (c) (d) (e) fig. 14.effect of depth/width on the distribution of the effective flange widths. ℄ effective width for single web mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 74 fig. 15. effect of length of girder on top flange stress distribution. (a) at 0.1 l (b) at 0.2 l (c) at 0.3 l (d) at 0.4 l (e) at 0.5 l. (a) (b) (c) (d) (e) fig. 16. effect of length of girder on the distribution of the effective flange widths. ℄ effective width for single web mohannad h. m. al-sherrawi al-khwarizmi engineering journal, vol. 8, no. 2, pp 63 -76 (2012) 75 5. conclusions 1. using the longitudinal stiffeners in the flanges of steel box girder did not affect the shear lag in the top flange, although it reduced the magnitude of the top flange longitudinal stresses to about 40%, and decreases slightly the effective width (5%-13%) because portion of these stresses go to the stiffeners. 2. increasing the stiffener ratio make the top flange longitudinal stresses decrease. 3. changing the number (4, 8, and 15) of the stiffeners with keeping the same area of the stiffeners has no effects on the magnitude of the top flange longitudinal stresses due to using the same area of the stiffeners. notations b one-side slab width b one-side effective slab width es modulus of elasticity of steel l span length of the beam ν poisson's ratio x normal stress in the longitudinal direction .maxx )( maximum normal stress in the longitudinal direction 6. references [1] chang, s. t., and zheng, f. z. (1987) "negative shear lag in cantilever box girder with constant depth." journal of the structural engineering, vol. 113, no. 1, january, pp. 20-35. [2] dezi, l., and mentrasti, l. (1985) "nonuniform bending-stress distribution (shear lag)," journal of the structural engineering, vol. 111, no. 12, pp. 2675-2690. [3] fafitis, a. and rong, a. y. (1995), “analysis of thin-walled box girders by parallel processing”, thin-walled struct., 21, 233240. [4] foutch, d. a., and chang, p. c. (1982) "a shear lag anomaly," journal of the structural engineering, vol. 108, no. 7, pp. 1653-1658. [5] hamply, e. c., (1976) bridge deck behavior, chapman and hall, london ec4p 4ee, pp. 272. [6] hwang, w. s., kim, y. p., and park, y. m. “evaluation of shear lag parameters for beam-to-column connections in steel piers” structural engineering and mechanics, vol. 17, no. 5 (2004) 691-706. [7] kuzmanovi , b. o. and graham, h. j. (1981), “shear lag in box girder”, j. struct. div., asce, 107(9), 1701-1742. [8] lee, c. k. and wu, g. j. (2000), “shear lag analysis by the adaptive finite element method-1. analysis of simple plated structures”, thin-walled struct., 38, 285-309. [9] luo, q. z., tang, j., and li, q. z. (2001) “negative shear lag effect in box girders with varying depth,” journal of structural engineering, asce, , vol. 127, no. 10, pp. 1236-1239. [10] luo, q. z., tang, j. and li, q. s. (2002), “experimental studies on shear lag of box girder”, eng. struct., 24, 464-477. [11] malcolm, d. j. and redwood, r. g. (1970), “shear lag in stiffened box girders”, j. struct. div., asce, 96 (st7), 1403-1449. [12] moffatt, k. r., and dowling, p. j. (1975) "shear lag in steel box girder bridges," the structural engineer, vol. 53, no. 10, october, pp. 439-448. [13] reissner, e. (1946), “analysis of shear lag in box beams by the principle minimum potential energy”, quarterly app. math., 3 (3), 268-278. [14] timoshenko, s. p., and goodier, j. n. (1970) “theory of elasticity.” third edition, mc graw-hill, new york, pp. 567. [15] wang, q. f. (1997), “lateral buckling of thin-walled members with openings considering shear lag”, structural engineering and mechanics, 5 (4), 369-383. [16] zhibin lin, a. m. and jian zhao, a. m. “a revisit of aashto effective flange width provisions for box girders” journal of bridge engineering / accepted manuscripts in 2010. http://ascelibrary.org/beo/ http://ascelibrary.org/beo/ http://ascelibrary.org/beo/ http://ascelibrary.org/beo/resource/3/jbenxx http://ascelibrary.org/beo/resource/3/jbenxx http://ascelibrary.org/beo/resource/3/jbenxx (2012)63 76 ، صفحة2، العذد 8 مجلة الخىارزمً الهنذسٍة المجلذمهنذ حسٍن محسن 76 تأثٍر المقىٌات على تخلف القص فً األعتاب الصنذوقٍة الحذٌذٌة مهنذ حسٍن محسن الشراوي غٍذق أحمذ فاضل جايعت بغذاد / كهيت انُٓذست / قسى انُٓذست انًذَيت mhnd7@yahoo.com: انبشيذ االنكتشَٔي الخالصة أعتًذ انتحهيم بئستعًال طشيقت انعُاصش . ْزا انبحث يٕثق دساست تأثيش انًقٕياث عهى تخهف انقص في األعتاب انصُذٔقيت انحذيذيت راث انشفاِ انًقٕاة األعتاب في انعشض انفعالانًحذدة انخطيت ثالثيت األبعاد ٔبئستخذاو بشَايج ستاد بشٔ في انتحهيم ٔحساب انتٕصيع انحقيقي نإلجٓاداث في انشفت انعهيا ٔ بعُاصش أحاديت انبعذ راث سباعيت انعقذ ، بيًُا تى تًثيم انًقٕياث قششيت تى تًثيم انصفائح انحذيذيت نهشفتيٍ ٔانٕتشتيٍ بئستعًال عُاصش . انصُذٔقيت انحذيذيت إٌ . تى إستخذايٓا في ْزِ انذساست نًعشفت تأثيشْا عهى تخهف انقص ٔاإلجٓاداث باإلتجاِ انطٕني في انشفت (15 ، 8 ، 4)أعذاد يختهفت نهًقٕياث . عقذتيٍ . ، نكُّ ال يؤثش عهى تخهف انقص فيٓا% 40إستخذاو انًقٕياث يقهم يٍ قيًت اإلجٓاداث باإلتجاِ انطٕني في انشفت انعهيا بًقذاس يصم إنى mailto:mhnd7@yahoo.com mailto:mhnd7@yahoo.com محسن جبر al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 7, no.4, pp 17 -26 (2011) experimental estimation of critical buckling velocities for conservative pipes conveying fluid mohsen j.jweeg* albert e. yousif** mahmud r. ismail* * department of mechanical engineering/ university of al-nahrain ** department of medical engineering/ university of al-nahrain (received 23 may 2011; accepted 17august 2011) abstract conservative pipes conveying fluid such as pinned-pinned (p-p), clamped–pinned (c-p) pipes and clamped-clamped (c-c) lose their stability by buckling at certain critical fluid velocities. in order to experimentally evaluate these velocities, high flow-rate pumps that demand complicated fluid circuits must be used. this paper studies a new experimental approach based on estimating the critical velocities from the measurement of several fundamental natural frequencies .in this approach low flow-rate pumps and simple fluid circuit can be used. experiments were carried out on two pipe models at three different boundary conditions. the results showed that the present approach is more accurate for estimating the critical velocities of p-p and c-p pipes. however, for c-c pipes it was not so unless a higher flow rate is used. keywords: conservative pipes, critical buckling velocity. 1. introduction it has been demonstrated that the natural frequencies for conservative pipes conveying fluid such as pinned-pinned, clamped-pinned and clamped-clamped pipes decrease with the increasing of the fluid velocities [1] .at certain critical values of the fluid velocities the fundamental natural frequency can be dropped to zero .at this condition pipes can lose their stability by static divergence or buckling [2] and [3]. evaluating the critical velocities of buckling is an important task in pipes design .they separate the range of velocities at which the pipe becomes safe and stable from the unstable range. many early researchers studied the stability for conservative pipe conveying fluid like bishop and fawzy [4], gregory and paidoussis [5] and recently, kuiper and metrlkine [6] and wang and ni [7] .their investigations were focused on evaluating the critical fluid velocities for buckling instability and stability characteristics for pinnedpinned, clamped–pinned and clamped-clamped pipes conveying fluid. these studies were based on the solution of the equation of motion by either approximate analytical or numerical methods. long [8] carried out many experiments on pinned–pinned pipes to show the effect of the fluid velocity on the natural frequencies .benjamin [9] made a visual investigation for the dynamics of articulated pipes (two degree of freedom pipes) with different supports .many experiments measured the critical fluid velocities of buckling and recorded the flutter phenomena photographically. gregory and paidoussis [10] investigated experimentally the main dynamical features of the cantilever pipes such as the effects of fluid speed and mass ratio on flutter instability and the natural frequencies. critical velocities of buckling instability are normally high and it is difficult to measure them experimentally unless high flow rate pumps are used. as a result a complicated fluid circuit will result and the problem of turbulence may arise [11]. owing to these difficulties, a new approach is presented in the present work for evaluating the critical velocities of buckling from a set of experimental data .such data was obtained from mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 18 measuring the fundamental natural frequencies at relatively low fluid velocities. 2. the present approach the relations between the fundamental natural frequencies and the fluid velocities for conservative pipes conveying fluid were derived by wang and his co-workers [12] in 2010. they gave the following expressions for the three conservative pipes conveying fluid: ei vm mm ei f fp 2 2 2 1. π πω − + = for(p-p) …(1) ei vm mm ei f fp 2 2 2 927.3 747.0 1.927.3 − + =ω for(c-p) …(2) ei vm mm ei f fp 2 2 2 73.4 55.0 1.73.4 − + =ω for(c-c) …(3) now, eqs.(1-3) may be written in the following dimensionless forms : ω = 2 2 2 1 π π u − …(4) ω = 2 2 2 378.6 173.4 u − …(5) ω = 2 2 2 543.4 1927.3 u − …(6) where : u= eimvl f /. … (7) and ω=ω eimml pf /)(.2 + …(8) squaring and arranging eqs.(4-6) gives: = ω 4 2 π 2 2 1 π u − … (9) = ω 4 2 927.3 2 2 543.4 1 u − … (10) = ω 4 2 73.4 2 2 378.6 1 u − …(11) when ω=0, eqs .(9-11) give the theoretical critical velocities of buckling uc for the three types of the conservative pipes which are: uc= π,4.543 ,6.378 furthermore, when u=0 ,eqs .(9-11) give the dimensionless fundamental frequencies ωb of the corresponding beams which are: ωb=π2,(3.927)2,( 4.73)2 in this way eqs .(9-11) can be put in the following general form: = ω ω 2 2 b 2 2 1 cu u − …(12) or : ω2=ωb 2-(ωb/uc)2u2 …(13) noting that eq.(13) represents a straight line in ω2-u2 plain. according to eq.(13), when a set of fundamental frequencies at given fluid velocities are plotted ω2 against u2 ,the result is a straight line .from this line the value of the critical velocity can be calculated. this is the basic concept of the present approach. in summary, the critical velocities can be estimated from the measured data of the fundamental natural frequencies, for a given model by performing the following steps: 1measuring the fundamental natural frequencies at a range of fluid velocities. 2plotting the data in ω2against u2. 3fitting the data to a straight line and determining its equation. 4comparing the equation of the fitted line with eq.(13) to find the critical velocity uc this approach enables using any available fluid velocities, however, when the flow rate is relatively low (less that 30 l/min) the variation in the fundamental frequencies become insensitive for most models. 3. apparatus and test models table 1 shows the specifications of the two test models used in this work. mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 19 table 1, specifications of the test pipe models [13]. model no. material do m t m l (m) ρ kg/m3 e gn/ m2 1 aluminum 0.01 0.001 1.25 2650 62 2 pvc 0.011 0.0011 1.25 1000 (at 30 co) 7.12 (at 30 co) the test rig consists of two main parts; the foundation and the two end supports. the foundation was constructed from brownwalnut wood and reinforced by 2 mm thickness steel plates. see fig .( 2) fig.1. schematic layout for the wooden test rig. fig.2. a photograph for the test rig. wood was chosen for the foundation since it has the following advantages over the metallic materials: 1it is simple to process. 2it has a higher structural damping making it a good vibration-absorber for undesired vibrations that can be transmitted from the test model supports. 3the ratio e/ρ of most woods is about 25 kn.m/g as compared with 26 kn.m/g for the most common metallic material [14] .thus their dynamical behavior are nearly similar. the two end supports were designed to fulfill the various requirements for pinned and clamped conditions. they consisted of two main parts; the cast iron base and the steel holders. for pin support, a ball-bearing assembly was used to insure zero moment and displacement see fig.(3). fig. 3. configuration of pinned support. for clamp support, steel clamps were provided to insure zero slope and displacement necessary for clamped end condition. the various boundary conditions for the three conservative pipes can be performed by using the proper supports selection. water was used as a flowing fluid .to measure the water velocity a flow meter was fitted at the inlet of the test model. the water circuit is shown in fig.(4). the main components of this circuit are the collecting tank (150 litters) ,centrifugal pump (60 l/min,20 m ), control valve (gate type) and the test pipe model. mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 20 in the case of pvc pipe models a digital thermometer was used to record the operating temperature since their mechanical properties are temperature dependant .the sensor of the thermometer was fitted on to the pipe outer surface. fig. 4.schematic diagram for test model and water circuit. the block diagram of the various components of the electric vibration circuit used in this work are shown in fig.(5). fig.5.block diagram for vibration circuit (the dash lines are for calibration mode). prior to testing, the densities and modulus of elasticity of the test models were checked and the accuracy of the instruments were tested. to check the modulus of elasticity for the test pipe models simple experiments were carried out. in these experiments the lowest three natural frequencies of the pipe models without fluid and under clamped –clamped conditions were measured .then the modulus of elasticity is calculated from the following formula: e= 2 24 n p ib lm ω for n=1, 2, 3 … (14) where: bn =1.5π, 2.5π, 3.5π the densities of the model materials were a checked by weighting pipe samples of length of 2cm by using a three-digit electronic balancer. the results showed good agreement between the measured and the calculated values. the accuracy of the flow meter was tested in a calibration process .in this test the water was allowed to full a reservoir of five liters capacity through the meter. the average time required for this process was recorded and the flow rate was calculated .the calculated flow rate was compared with the meter reading. the results gave good agreement. calibrating the variation of the vibration instruments focus was made on checking the overall accuracy due to measuring the frequency which is the main interest in this work. the accuracy of the amplitude was not taken into account .this is true since the natural frequencies can be measured by observing the resonance frequencies rather than their amplitudes. for this purpose the instruments were connected as shown in the dash line paths of fig.(5). in this arrangement the accelerometer was directly mounted on the vibrating part of the shaker and an electrical feedback signal was taken from the shaker input .the detected frequency ( fi ) by the accelerometer was fed to channel a of the oscilloscope while the feedback frequency ( fd ) was fed to channels b. the shaker was allowed to vibrate at specified sets of frequencies generated by the function generator (fs ) . these frequencies were 100, 500 and 1000 hz. the two output frequencies displayed on the oscilloscope were observed and recorded .then ,the overall accuracy for the exciter and the response sides for the three selected frequencies were calculated from the following relations : mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 21 % over all accuracy of the exciter side ηex = 100x fs ffs i− % over all accuracy of the response side ηrs = 100x f ff i di − the calculated accuracies are shown in table (2) . this table shows that the accuracies are high and hence the errors are small. table2, overall accuracies of exciter and response side circuits at some selected frequencies. fs fi fd ηex ηrs 100 99.8 99.2 99.8% 99.2% 500 492 490 98.4% 98% 1000 990 985 99% 98.5% 4. experimental procedures the fundamental natural frequencies of the two models were measured at different water velocities and boundary conditions .in all cases the fundamental natural frequencies were firstly measured at zero flow rate and then the water flow rates are increased to 10 ,20 ,30 ,40 ,50 and 60 l/min .this was achieved by adjusting the controlling valve .it is important to mention that, since in some flow rates the flow is turbulent, the water was allowed for flowing about ten minutes prior any measuring.. in measuring the natural frequencies the test models were subjected to forced vibration under the effect of the harmonic force generated by the shaker to insure only force transmission to the models and avoiding the effect of the moment the connection between the models and the shaker shaft was made as a pin-joint connector by using a ball-bearing assembly. it is important to mention here that, it is necessary to minimize the amplitude of the excitation force due to the following reasons: 1insure a linear vibration since the amplitude remains small and within the elastic limit. 2reduce the effect of the modulation which may be taken between the vibrational wave of the test model and that of the foundation structure. 3minimize the effect of the impact which may be taken between the rotated parts such as the pinned supports and connectors. 4minimize the effect of structural and coulomb friction damping in the models. for this purpose the amplitude of the shaker was kept small within 2 v. this was done by adjusting the gain of the power amplifier .to compensate this reduction, the sensitivity of the accelerometer was raised to a maximum value by adjusting the gain of the conditioning amplifier to about 30mv. with the above arrangements refined vibrational waves which are necessary for accurate measuring were obtained on the oscilloscope. the response of the pipe models were picked by the accelerometer and displayed via the oscilloscope. in measuring the fundamental natural frequencies the excitation frequency of the shaker was gradually increased from zero observing the response until a sharp amplitude (resonance) was reached .at this instant the frequency was recorded . fig.(6) shows photograph of natural frequency tests for the pvc model at p-p boundary conditions . fig.6. a photograph for p-p, pvc pipe. 5. results and discussions for the illustration purpose the theoretical critical flow rates of buckling of the two models at different boundary conditions were calculated and presented in table 3 .table 3 shows the required high flow rates for the buckling of the two models. mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 22 the measured natural frequencies and the associated fluid flow rates for the two models at different boundary conditions are given in table (4) and (5). table 3, critical flow rates (qc) for the test models at different boundary conditions. model no. material qc (p-p ) l/min qc (c-p) l/min qc (c-c) l/min 1 aluminum 238 357 476 2 pvc 101 151.5 202 table 4, measured fundamental natural frequencies (hz) for aluminum pipe at different boundary conditions . table 5, measured fundamental natural frequencies (hz) for pvc pipe at different boundary conditions . q(l/min) 0 10 20 30 40 50 60 p-p 7.2 6.6 6 5.9 5.4 5 2.5 c-p 8.1 8.2 8 7.75 7.3 6.7 6 c-c 12 11.8 11.5 11.2 11 10.4 9.9 the dimensionless frequencies ω and velocities u of the measured data then calculated from eqs.(7) and (8) . 0 0.5 1 1.5 140 145 150 155 160 165 170 u2 ω 2 exp. fitting fig.7.experimental plot of ω2against u2 for p-p aluminum pipe. in figs (7-12) the ω2 and u2 for the two models at the three considered boundary conditions are plotted and fitted to straight lines 0 0.5 1 1.5 280 285 290 295 300 305 310 315 u2 ω 2 exp. fitting fig. 8. experimental plot of ω2against u2 for c-p aluminum pipe. q(l/min) 0 10 20 30 40 50 60 p-p 13.2 13.0 12.9 12.6 12.4 11.9 11.8 c-p 17.75 17.85 17.6 17.6 17.5 17.4 16.7 p-p 25.7 25.7 25.77 25.6 25.57 25.2 25 mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 23 0 0.5 1 1.5 625 630 635 640 645 650 655 660 u2 ω 2 exp. fitting fig. 9. experimental plot of ω2against u2 for c-c aluminum pipe. 0 2 4 6 8 40 45 50 55 60 65 u2 ω 2 exp. fitting fig.10. experimental plot of ω2against u2 for p-p pvc pipe. then, the equations of the fitted lines were evaluated and are given in table 6. table 6, equations of the fitted lines for figs. (7) to (12). comparing the equations given in table 6 with eq.(13) gives the estimated dimensionless critical velocities .finally, using eq.(7), the critical velocities for the two models were calculated. 0 2 4 6 8 10 15 20 25 30 35 40 45 50 u2 ω 2 exp. fitting fig. 11. experimental plot of ω2against u2 for c-p pvc pipe. 0 2 4 6 8 100 105 110 115 120 125 130 135 140 u2 ω 2 exp. fitting fig. 12. experimental plot of ω2against u2 for c-c pvc pipe. for example, to find the critical velocity of pp aluminum model the equation of the fitted line from table 6 is: ω2 =169.9-19.03u2 according to eq.(13) : ωb 2=169.9 and ( ωb/uc)2= 19.03 solving these equations give : uc = ٢.٩٨٨٠ now by using eq.(7) and substituting the aluminum pipe specifications shown in table 1,one get the following critical velocity : vc = 42.5032 m/s the results of the estimated and theoretical critical velocities of the two models and the associated errors are given in the tables 7 and 8. figure no. equation of fitted line boundary conditions 7 ω2 =169.9 -19.03 u2 p-p 8 ω2 =317.5 -17.27 u2 c-p 9 ω2 =663.2 -21.05 u2 c-c 10 ω2 =46.05 -4.406 u2 p-p 11 ω2 =67.29 -3.604 c-p 12 ω2 =139.3 -4.63 u2 c-c mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 24 table 7, estimated and theoretical critical velocities for aluminum pipe . boundary conditions critical velocity(m/s) error% estimated theoretical p-p 42.5032 44.6884 -4.9 c-p 60.9916 64.0114 -4.7 c-c 79.8437 89.3767 -10.1 table 8, estimated and theoretical critical velocities for pvc pipe . boundary conditions critical velocity error% estimated theoretical p-p 18.2238 17.7091 2.9 c-p 24.3573 25.3664 -3.95 c-c 30.9194 35.4182 -12.4 tables 7 and 8 indicate that there is generally some errors between the theoretical and the estimated values of critical velocities these errors can be attributed to many reasons such as : 1. it is impossible to produce perfect boundary conditions in practice. 2. many sources of error such as instruments, reading, etc. 3. the effect of damping. also, tables 7 and 8 show that for pinnedpinned and clamped-pinned cases, the estimated critical velocities are very closed to the theoretical values since the errors are small. however for clamped-clamped case the errors are relatively high for the two models .this can be attributed to the fact that the critical velocities for clampedclamped pipe are higher than those for other boundary conditions . this will decrease the slope of the line given in eq.(13) .the small slope means that the variation in the fluid velocity lead to a small variation in the natural frequencies. this small variation is difficult to be detected experimentally unless a wider range of velocities are considered .thus, for accurate estimation the flow rate must be increased for clamped-clamped case . 6. conclusions the present approach provides an alternative simple experimental method for evaluating the critical velocities of buckling instead of the classical methods which require high flow rate pumps and sophisticated fluid circuits. the validity of present approach was checked by comparing its results with the theoretical ones. from the experimental results of two pipe models at different boundary conditions it can be concluded that, the present approach is more accurate for pinned-pinned and clamped–pinned pipes since the resulting errors are small .however for clamped-clamped pipes the accuracy is less unless higher flow rates are used. notations and nomenclatures p-p pinned-pinned c-p clamped – pinned c-c clampedclamped af.,ap fluid and pipe cross sectional area ,respectively.(m2) do,di outer and inner pipe diameter ,respectively .(m) e modulus of elasticity.(n/m2) i moment of inertia (m4) l pipe length.(m) mf, mp fluid and pipe mass per unit length, respectively .(kg/m) qc critical flow rate (l/min) u dimensionless fluid velocity. uc dimensionless critical buckling velocity v fluid velocity.(m/s) vc critical velocity of buckling (m/s) ω dimensionless frequency = ωl2[(mf + mp) /e i]1/2 ω circular frequency.(rad/sec) ωb dimensionless natural frequency of beams ρ fluid density (kg/m3 ) 7. references [1] paidoussis m..p.," fluid–structure interactions: slender structures and axial flow", 1. new york: academic press; 1998. [2] weaver d.s., and unny t.e., "on the dynamic stability of fluid conveying pipe"asme,,48-50,1973 [3] rao c. and simhab h.. "critical velocity of fluid-conveying pipes resting on twoparameter foundation" j.soun.vib.vol.302, 387-397, 2007. mohsen j.jweeg al-khwarizmi engineering journal, vol. 7, no. 4, pp17-26 (2011) 25 [4] bishop r.e. and fawzy i., "free and forced oscillation of vertical tube containing a flowing fluid" philosophical transactions of royal society of ,1970 [5] gregory r..w.and paidoussis m..p. ,"unstable oscillation of tubular cantilevers conveying fluid. i. theory ". proc royal soc london a vol.293, 512–27, 1966. [6] kuiper g.l. and metrlkine a..v., 'on stability of a clamped-pinned pipe conveying fluid', heron, vol 49 no.3, 211230,2004. [7] wang l. and ni q., " a note on the stability and chaotic motions of a restrained pipe conveying fluid"j.soun.vib.vol.296, 1079–1083,2006 [8] long r.h., "experimental and theoritical study of transverse vibration of a tube containing flowing fluid,"j.appl.mech.vol.22,65-68, 1955. [9] benjamin t.b., "dynamics of system of articulated pipes conveying fluid-i experimental “proc. roy. soc.(london),ser.a 261,488-498,1961. [10] blevins d.r., "flow-induced vibration", 1977. [11] gregory r.w.and paidoussis m..p., ,"unstable oscillation of tubular cantilevers conveying fluid. ii. experiments". proc. roy. soc. (london) ser. a 293,528–42, 1966. [12] huang y., liu y., li b., li y. and yue z., "natural frequency analysis of fluid conveying pipeline with different boundary conditions," nuclear engineering and design vol. 240,461–467, 2010. [13] ashrae systems and equipment handbook (si),41.3-41.4, 2000 [14] lawrence h. van vlack, "elements of materials science and engineering",1989. )2011( 17 26 ، صفحة3، العدد 7د مجلة الخوارزمي الھندسیة المجل جویج محسن جبر 26 ألحرجه لألنابيب الناقلة للموائع ذات الطاقة المحفوظة لسرع االنبعاج تخمين تجريبي * **البیر ایلیا یوسف *د رشید اسماعیلمحمو محسن جبر جویج جامعة النھرین/المیكانیكیةقسم الھندسة * جامعة النھرین/قسم الھندسة الطبیة ** الخالصة يجب استخدام تجريبيا ةب هذه السرعالغرض حسوحرجه ععند سر جا باالنبعاهتفقد استقرارالمحفوظة الطاقةالناقلة للمائع ذات األنابيب .السائل لمنظومةمضخات عاليه التصريف مما يسبب تعقيدات وبهذه ألطريقه يمكن استخدام أساسيهمن قياس عده ترددات طبيعيه ألحرجهالسرع تخمينتعتمد على جديدة تجريبيةفي هذا البحث تم تقديم طريقه .سرع قليله نسبيا ومنظومة سائل بسيطة لألنابيب ألحرجهلحساب السرع مالئمة ألطريقههذه أنج ئمنوعه فبينت النتا إسنادوتحت ظروف األنابيبتجارب على نموذجين من إجراءتم .المستخدم إال إذا تم زيادة مقدار الجريانمن جهتين المحكمة لألنابيبذلك اقل منمحكم بينما تكون -بسيط و بسيط -بسيط اإلسنادذات دراسة أداء محرك اشتعال انضغاطي ثنائي الوقود al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 8, no. 2, pp 97 -103 (2012) َضغاطالاب يحرك اشتعال تأثير َسثح طاقح وقىد انذيسل في وقىد ثُائي عهى أداءدراسح يعٍ جُاٌ تشير ثٌؾجِؼز ثٌضىٌٕٛٛؽ١ز/ لغُ ٕ٘ذعز ثٌّىجةٓ ٚثٌّؼذثس (received 15 september 2011; accepted 4 march 2012) انخالصح ، ٚرٌه ػٍٝ أدثء رٌه ثٌّقشن أفجدٜ ثالعطٛثٔز ٠ؼًّ دٛلٛد عٕجةٟ،ثشضؼجي دجالٔعغجغ صؤع١ش ٔغذز ٚلٛد ثٌذ٠ضي ثٌّقمْٛ فٟ ِقشن ٠ٙذف ثٌذقظ ٌذسثعز . فؾ١ّز ِخضٍفزدئظجفز ثٌغجص ثٌٕفطٟ ثٌّغجي إٌٝ ٚلٛد ثٌذ٠ضي دٕغخ صضدثد ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز دض٠جدر ٔغذز ٚلٛد ثٌذ٠ضي ػٕذ ثألفّجي ثٌّٕخفعز، ٚصمً دض٠جدر ثٌقًّ، ٌٍٚقصٛي ػٍٝ صشغ١ً ِغضمش ٌّقشن ٠ؼًّ دٛلٛد . عٕجةٟ ٠ؾخ ثٌقفجظ ػٍٝ و١ّز ِٕجعذز ِٓ ٚلٛد ثٌذ٠ضي، إر ػٕذ ثٌؼًّ دؤلً ِٕٙج ٠ؼًّ ثٌّقشن دضشغ١ً غ١ش ٔظجِٟ ٠ٚقصً إخفجق دجالشضغجي -80)، أِج ػٕذ فًّ لش٠خ ِٓ ػٕذ أفّجي ؽضة١ز٠ىْٛ ثالعضٙالن ثٌٕٛػٟ ٌٍٛلٛد ٌّقشوجس عٕجة١ز ثٌٛلٛد أوذش ِٓ ل١ّضٙج ػٕذ ثٌؼًّ دٛلٛد د٠ضي فمػ . ، فجْ ثالعضٙالن ثٌٕٛػٟ ٌٍٛلٛد فٟ ِقشن عٕجةٟ ٠مضشح ِٓ ل١ّضٗ ػٕذ ثٌؼًّ دٛلٛد د٠ضي فمػ ثٌىٍِٟٓ ثٌقًّ (100% ٚلٛد عٕجةٟ، غجص ٔفطٟ ِغجي، ِقشن ثشضؼجي دجألٔعغجغ، ٔغذز ِىجفتز، لذسر ِىذق١ز، ثعضٙالن ٔٛػٟ ِىذقٟ، وفجءر فؾ١ّز، وفجءر : انكهًاخ انًفتاحيح .فشثس٠ز ِىذق١ز انًقذيح .1 صؼشف ِقشوجس ثٌٛلٛد ثٌغٕجةٟ دؤٔٙج ثٌّقشوجس ثٌضٟ ٠ّىٓ أْ صؼًّ ػٍٝ ٔٛػ١ٓ ِخضٍف١ٓ ِٓ ثٌٛلٛد، أفذّ٘ج ثٌٛلٛد ثٌغجصٞ . ٚث٢خش ٚلٛد عجةً، أٚ دؤٞ ِٓ ثٌٛلٛد٠ٓ دصٛسر ِٕفصٍز ٕٚ٘جن ػذر ػٛثًِ عجّ٘ش فٟ ثعضخذثَ ٘زث ثٌٕٛع ِٓ ثٌّقشوجس [1,2,3] ٟ٘ٚ : صٛفش ثٌٛلٛد ثٌغجصٞ دؤعؼجس ثسخص ِٓ ثٌٛلٛد ثٌغجةً، .1 .دجٌّمجسٔز ِغ ثٌم١ّز ثٌقشثس٠ز ثٌٕجصؾز ِٓ و١ٍّٙج .لشح ٔعٛح ثٌٛلٛد ثٌغجةً ثٌضم١ٍذٞ فٟ ثٌّغضمذً ثٌمش٠خ .2 لٍز ثٌضٍٛط ثٌقجصً ٌٍذ١تز ٔض١ؾز ٔظجفز ثالفضشثق ثٌٕجصؼ ِٓ .3 ِقشوجس ثٌٛلٛد ثٌغجصٞ ِمجسٔز ِغ ثٌّقشوجس ثٌضٟ صغضخذَ .ثٌٛلٛد ثٌغجةً غٛي ثٌؼّش ثٌضشغ١ٍٟ ٌٍّقشن ٔض١ؾز لٍز صخف١ف عجةً ثٌضض١٠ش، .4 .ٚلٍز ثٌضآوً ثٌقجصً د١ٓ ثألعطـ ثٌّضّجعز ٌٍّقشن عٌٙٛز ٔمً ثٌغجص ثٌّغجي دصٛسر ثلضصجد٠ز دغذخ ثٌضطٛسثس .5 .ثٌىذ١شر ثٌقجصٍز فٟ دٕجء ثٌخضثٔجس دغجغز ثٌّؼذثس ثٌالصِز ٌضق٠ًٛ ِقشن ثشضؼجي دجالٔعغجغ أٚ .6 دجٌششثسر إٌٝ ِقشن ٠ؼًّ دٛلٛد عٕجةٟ، ٚثِىج١ٔز صغ١١ش ػًّ ثٌّقشن ِٓ ٔٛع إٌٝ آخش دصٛسر صٍمجة١ز فٟ ثٌظشٚف .ثالظطشثس٠ز ٠ّٚىٓ ثٌؼًّ دؤٔٛثع ػذ٠ذر ِٓ ثٌٛلٛد ثٌغجصٞ فٟ ِقشوجس ثٌٛلٛد ثٌغٕجةٟ، ِٚٓ ثٌغجصثس ثٌّغضخذِز ثٌغجص ثٌطذ١ؼٟ، ثٌغجص ثٌٕفطٟ ثٌّغجي، ث١ٌٙذسٚؽ١ٓ ٚغجص ثٌفعالس [4,5] . ٌٚىٓ ٌٍٛلٛد ثٌغجصٞ ِغجٚا صقذ ِٓ ثعضخذثِٗ ٚصضطٍخ دسثعجس أوذش ٌٍضم١ًٍ ِٓ ثعش٘ج، فجٌٛلٛد ثٌغجصٞ ٠قضجػ ثٌٝ ٔغخ ثٔعغجغ ػج١ٌز الٔؾجص ػ١ٍّز ثالفضشثق دصٛسر وفٛءر، ٚرٌه السصفجع دسؽز فشثسر ثصمجدٖ ثٌزثصٟ، ٚٔغذز ثالٔعغجغ ثٌؼج١ٌز ٘زر غ١ش ِضٛفشر فٟ ِقشوجس ثالشضؼجي دجٌششثسر [11] . وّج ألْ فضشر صؤخش ثألشؼجي ٌٍٛلٛد ثٌغجصٞ أغٛي ِمجسٔز دجٌذ٠ضي دغذخ سلّٗ ثٌغ١ضجٟٔ ثأللً، وّج أْ ثٌىفجءر ثٌقؾ١ّز ٌقجٌز ٠ٚؾخ أْ ال صمً ثٌم١ّز . ٚلٛد غجصٞ ألً ِمجسٔز دٛلٛد د٠ضي ثٌقشثس٠ز ٌٍٛلٛد ثٌغجصٞ ثٌّغضخذَ فٟ ِقشن ٚلٛد عٕجةٟ ػٓ و١ٍٛؽٛي ٌٍّضش ثٌّىؼخ2430 [1] ٚصؤعش ػٛثًِ ػذ٠ذر فٟ . : غذ١ؼز ثالفضشثق ٌّقشوجس ثٌٛلٛد ثٌغٕجةٟ، ِٕٙج  ٠غضخذَ ٚلٛد ثٌذ٠ضي ١ٌغجػذ فٟ دذء : و١ّز ٚلٛد ثٌذ٠ضي ثالشضؼجي، ٠ٚقمٓ ػجدر لذً ثٌٕمطز ث١ٌّضز ثٌؼ١ٍج دؼذر دسؽجس لذً ثٔضٙجء شٛغ ثالٔعغجغ، فئرث وجٔش و١ّز ثٌٛلٛد ثٌّعخز وذ١شر فجْ و١ّز ثٌقشثسر ثٌّضقشسر ٚثٌّٕضمٍز إٌٝ ثٌخ١ٍػ عضىْٛ وذ١شر أ٠عج، ٠ٕٚضؼ ػٓ رٌه فصٛي ثفضشثق عش٠غ ٠صجفذٗ ثسصفجع فجد دجٌعغػ ثأللصٝ ٌألعطٛثٔز، ِّج ٠ؾؼً ثٌّقشن فٟ ظشٚف لش٠ذز ِٓ ظشٚف فجٌز ثٌطشق [2] ، أِج إرث وجٔش و١ّز ٚلٛد ثٌذ٠ضي ل١ٍٍز فغٛف صٕخفط ثٌمذسر ثٌخجسؽز ِٓ ثٌّقشن ٔض١ؾز ػذَ ثشضؼجي ثٌخ١ٍػ دصٛسر صجِز، ٚخشٚػ و١ّز ِٓ ثٌٛلٛد غ١ش ثٌّقضشق ِغ ثٌغجص ثٌؼجدَ [6,7] . ٌمذ أوذس ثغٍخ ثٌذسثعجس أْ ثفعً لذسر ٠ّىٓ ثٌقصٛي ػ١ٍٙج ِٓ ِقشن ٚلٛد عٕجةٟ ػٕذِج صىْٛ ٔغذز ٚلٛد ثٌذ٠ضي دجٌّجةز ِٓ ثٌطجلز ثٌقشثس٠ز ثٌى١ٍز ثٌذثخٍز إٌٝ 15 ث7ٌٝدقذٚد ثٌّقشن ػٕذ فًّ وٍٟ [11] .  ٓصؤع١ش صٛل١ش ثٌقم [1,2] ٠غذخ ثٌضٛل١ش ثٌّذىش ٌٍقمٓ ص٠جدر : فضشر صؤخ١ش ثالشضؼجي، ِغذذج ثسصفجع ل١ّز ثٌعغػ ثأللصٝ، ِّج ٠ض٠ذ ثفضّجي فصٛي فجٌز ثٌطشق، أِج ثٌضٛل١ش ثٌّضؤخش ٌٍقمٓ ف١مًٍ فضشر صؤخ١ش ثالشضؼجي، ِّج ٠ؤدٞ إٌٝ فصٛي ثالفضشثق دؼذ ثٌٕمطز ث١ٌّضز ثٌؼ١ٍج دذسؽجس ػذ٠ذر، ِّج ٠مًٍ ِٓ (2012) 103-97، انصفحح 2، انعذد8يجهح انخىارزيي انهُذسيح، انًجهذ يعٍ جُاٌ تشير 98 ثٌعغػ ثأللصٝ ٌألعطٛثٔز، ٚدجٌضجٌٟ ثٔخفجض ثٌمذسر .ثٌخجسؽز ِٓ ثٌّقشن  ٟٔصؤع١ش ثٌؼذد ثٌغ١ضج [3,8] ٠غذخ ثٔخفجض ثٌؼذد ثٌغ١ضجٟٔ ػٓ : ل١ّضٗ ثٌطذ١ؼ١ز ظؼف فٟ أدثء ػًّ ثٌّقشن ثٌٛلٛد ثٌغٕجةٟ، ٚثْ وجْ صؤع١ش ثٌؼذد ثٌغ١ضجٟٔ ل١ٍال فٟ غذ١ؼز ٚٔٛػ١ز ثالفضشثق ٌّقشوجس ثٌٛلٛد ثٌغٕجةٟ دجٌّمجسٔز ِغ ثٌؼذد .ثألٚوضجٟٔ ٌٍٛلٛد ثٌغجصٞ  صؤع١ش دسؽز فشثسر ثٌخ١ٍػ ثٌذثخً إٌٝ ثٌّقشن [1,3] صغذخ : ص٠جدر دسؽز فشثسر ثٌخ١ٍػ ثٌذثخً ٌالعطٛثٔز ػٕذ ثألفّجي ثٌؼج١ٌز ثٔخفجض ثٌمذسر ثٌخجسؽز ِٓ ثٌّقشن، ٚص٠جدصٙج ػٕذ ثألفّجي ثٌّٕخفعز صغضٛؽخ ثٌؼًّ دجٌؾجٔخ ثٌعؼ١ف (<1ø) إْ ثٔخفجض دسؽز فشثسر ثٌخ١ٍػ ػٕذ ثألفّجي ، ٠ؤدٞ إٌٝ (1ø<)ثٌؾضة١ز ٌٍّقشن ثٌؼجًِ دخ١ٍػ غٕٟ صقغ١ٓ ثٌىفجءر ثٌقشثس٠ز ٌٚىٓ ٠ؤعش ػٍٝ ِمذثس ثألعضٙالن ثٌٕٛػٟ ٌٍٛلٛد، د١ّٕج صٕخفط ثٌىفجءر فٟ فجٌز خ١ٍػ ظؼ١ف ٌؼذَ فصٛي ثالفضشثق ثٌضجَ، ٚخشٚػ و١ّز ِٓ ثٌٛلٛد ِغ .غجص ثٌؼجدَ  َصؤع١ش ٔٛع ثٌٛلٛد ثٌغجصٞ ثٌّغضخذ [1,9] ٠ؼضّذ صؤع١ش ٔٛع : ثٌٛلٛد ثٌغجصٞ ثٌّغضخذَ فٟ ِقشوجس ٚلٛد عٕجةٟ دشىً أعجعٟ ػٍٝ فذٚد ثشضؼجٌٗ ِٚمجِٚضٗ ٌٍطشق، ٚصخضٍف ٘جصجْ .ثٌخجص١ضجْ دجخضالف ِىٛٔجس ثٌغجص صؼطٟ وً أٔٛثع ثٌٛلٛد ثٌغجصٞ لذسر ػج١ٌز ػٕذ ثٌؼًّ فٟ ِٓ ثٌخ١ٍػ، ثوغش ِٓ ػٍّٙج فٟ ثٌؾجٔخ (1ø<)ثٌؾجٔخ ثٌغٕٟ ، ٚأغٍذٙج ٌٙج ِمجِٚز ػج١ٌز ٌٍطشق، ٚصؼضّذ (1ø<)ثٌعؼ١ف ثٌٕغذز ثٌّىجفتز ثٌذثخٍز إٌٝ ِقشن ثٌٛلٛد ثٌغٕجةٟ دذسؽز سة١غ١ز ػٍٝ و١ّز ٚلٛد ثٌذ٠ضي ثٌالصِز إلشؼجي ثٌخ١ٍػ فٟ غشفز ثالفضشثق، ٌزث ٠ّىٓ ثٌقصٛي ػٍٝ لذسر ػج١ٌز ِٓ ثٌّقشن ػٕذ ثٌؼًّ دخ١ٍػ ظؼ١ف، ألٔٗ ٠ّضجص دفضشر صؤخ١ش غ٠ٍٛز ٔغذ١ج، ٚدّؼذي ثفضشثق دطٟء، ٠ؤدٞ إٌٝ ثلضشثح ِٛظغ ثٌعغػ ثأللصٝ ٌألعطٛثٔز ِٓ ثٌٕمطز ث١ٌّضٗ ثٌؼ١ٍج، ِّج ٠ض٠ذ ِٓ وفجءر ثالفضشثق، أِج ثٌؼًّ دجٌؾجٔخ ثٌغٕٟ ِٓ ثٌخ١ٍػ، فغٛف ٠قذط ثفضشثق عش٠غ ِٚفجؽب، ٠صجفذٗ ثسصفجع فجد فٟ ظغػ ثالعطٛثٔز ثأللصٝ ِغذذج فجٌز ثٌطشق [10] . صٙذف ثٌذسثعز ٌضٛظ١ـ صؤع١ش ٔغخ غجلز ٚلٛد ثٌذ٠ضي ثٌذثخٍز ثٌٝ ثٌّقشن ِمجسٔز دجٌطجلز ثٌى١ٍز ػٍٝ أدثء ِقشن أفجدٞ . دجالٔعغجغثألعطٛثٔز ٠ؼًّ األجهسج انًستخذيح .2 صّش ثٌضؾجسح دجعضخذثَ ِقشن أفضشثق دثخٍٟ ٠ؼًّ -1 دجالٔعغجغ أفجدٞ ثالعطٛثٔز سدجػٟ ثالشٛثغ رٚ ٔغخ ,prodit, gr0306/000/037a)ثٔعغجغ ِضغ١شر، ٔٛع italy) ُِٛثصفجس ثٌّقشن ثٌّغضخذَ ٠ٚ1ٛظـ ؽذٚي سل . فٟ ثٌؼًّ ٠مجط ثٌٙٛثء ثٌّؾٙض ثٌٝ ثٌّقشن دٛثعطز ِم١جط فٛ٘ز، -2 ثٔذٛح عقخ ثٌٙٛثء، غشفز : ٠ٚضىْٛ ٔظجَ صؾ١ٙض ثٌٙٛثء ِٓ . صخ١ّذ، ِٚقٛي ثٌمذسر ٌٍعغػ ثٌضفجظٍٟ ٠غضخذَ ثٌذ٠ٕج١ِِٛضش ث١ٌٙذس١ٌٚىٟ ٌم١جط ػضَ ثٌّقشن -3 . ثٌخجسػ صمجط دسؽز فشثسر ثٌغجص ثٌؼجدَ دجعضخذثَ ِضدٚؽجس فشثس٠ز -4 . مثبتة عند بداية أنبوب العادمk (ni-cr)/(ni-al)ٔٛع :ٔظجَ صؾ١ٙض ثٌّقشن دجٌغجص ثٌٕفطٟ ثٌّغجي -5 صضىْٛ ثٌّٕظِٛز ثٌّغضخذِز فٟ ثٌذقظ ٌضؾ١ٙض ثٌّقشن دجٌغجص خضثْ ثٌٛلٛد، ِششـ ثٌٛلٛد، : ثٌٕفطٟ ثٌّغجي ِٓ ثألؽضثء ثٌضج١ٌز ِغٕجغ١غٟ، ِذخش ثٌغجص ثٌٕفطٟ ثٌّغجي، ِم١جط صذفك ٚصّجَ وٙش ِم١جط فٛ٘ز ِصُّ فغخ ثٌّٛثصفجس ثٌذش٠طج١ٔز، ثٌٛلٛد ثٌغجصٞ ، صٕذٚق ثٌضخ١ّذ، ِغزٞ (m=0.05353)ٚٔغذز ثٌّغجفز ٌٗ ٚلذ صُ ثعضخذثَ ثٌغجص ثٌٕفطٟ ثٌّغجي ثٌّٕضؼ . ِٚجٔؼز ثٌٍٙخثٌغجص إ٠غجْ، % 1: ثٌؼشثق، ٚثٌّىْٛ ِٓ– ِٓ ششوز غجص ثٌضجؽٟ . د١ٛصجْ. ْ% 32.65أ٠ضٚد١ٛصجْ،% 18.17دشٚدجْ، % 48.18 صضىْٛ ثٌّٕظِٛز : ٔظجَ صؾ١ٙض ثٌّقشن دٛلٛد ثٌذ٠ضي -6 ثٌّغضخذِز فٟ ثٌذقظ ِٓ خضثْ ٚلٛد د٠ضي، ِم١جط فؾُ ٚلذ ثعضخذَ فٟ ٘زث ثٌذقظ . ثٌٛلٛد، ِششـ ثٌٛلٛد ٚثٌصّجَ ثٌؼشثق، ٚدشلُ دغذثد-ٚلٛد د٠ضي ِٕضؼ ِٓ ِصفٝ ثٌذٚسر . 47.8ع١ضجٟٔ ِخطػ ٌٍؾٙجص ثٌّغضخذَ فٟ ثٌضؾجسح ِغ وجًِ ٠1ذ١ٓ ثٌشىً . ٍِقمجصٗ . يخطظ نألجهسج انًستخذيح في انتجارب-1-شكم ثعضخذِش ثٌّؼجدالس ثٌضج١ٌز ٌقغجح ِضغ١شثس ثٌّقشن ثٌّّٙز :ٚوّج ٠ٍٟ ثٌمذسر ثٌّىذق١ز .1 𝑏𝑝 = 𝑊𝑏 × 𝑁/348.067 .ثٌقًّ ثٌّغٍػ دج١ٌٕٛصٓwb: ف١ظ n عج١ٔز/ عشػز ثٌّقشن دٚسر. ثٌٕغذز ثٌّىجفتز .2 ø= (a/f)stoichiometric/ (a/f)actual ثالعضٙالن ثٌٕٛػٟ ثٌّىذقٟ ٌٍٛلٛد .3 𝑏𝑠𝑓𝑐 = 𝑚𝑓 ° × 3600/𝑏𝑝 m: ف١ظ o f – ثٌغجص ثٌٕفطٟ ثٌّغجي )ِؼذي ثعضٙالن ثٌٛلٛد + .(ثٌذ٠ضي ثٌىفجءر ثٌقؾ١ّز .4 𝜂𝑣𝑜𝑙 = 𝑚𝑎 𝑎𝑐𝑡 /(𝑚𝑎)𝑡𝑕𝑒𝑜 . × 100 . وضٍز ثٌٙٛثء ثٌّضذفمز دثخً ثٌّقشن ػ١ٍّج.act(ma): ف١ظ (ma)theo. -وضٍز ثٌٙٛثء ثٌّضذفمز دثخً ثٌّقشن ٔظش٠ج . (2012) 103-97، انصفحح 2، انعذد8يجهح انخىارزيي انهُذسيح، انًجهذ يعٍ جُاٌ تشير 99 ٔغذز ثٌطجلز ثٌقشثس٠ز ٌٛلٛد ثٌذ٠ضي ثٌٝ ثٌطجلز ثٌى١ٍز ٌخ١ٍػ .5 :ثٌٛلٛد ثٌذثخً ٌٍّقشن 𝑑𝑖𝑒𝑠𝑒𝑙 𝑓𝑢𝑒𝑙 𝑒𝑛𝑒𝑟𝑔𝑦 𝑟𝑎𝑡𝑖𝑜 = 𝑚𝑑𝑖𝑒𝑠𝑒𝑙 ° × 𝐿𝐻𝑉𝑑𝑖𝑒𝑠𝑒𝑙 𝑚𝑑𝑖𝑒𝑠𝑒𝑙 ° × 𝐿𝐻𝑉𝑑𝑖𝑒𝑠𝑒𝑙 + 𝑚𝐿𝑃𝐺 ° × 𝐿𝐻𝑉𝐿𝑃𝐺 :خطٛثس إؽشثء ثٌضؾجسح صّش ثٌضؾجسح دؼذ صشغ١ً ثٌّقشن ٌفضشر ِٓ ثٌضِٓ ٚٚصٌٛٗ ° 60 ٚٚصٛي دسؽز فشثسر ص٠ش ثٌّقشن ٌذسؽز ثالعضمشثسٌقجٌز ِت٠ٛز، ° 5° ± 70، ٚدسؽز فشثسر ِجء ثٌضذش٠ذ ٌذسؽز °5± ِت٠ٛز : دؼذ رٌه صُ صغ١١ش ثٌؼٛثًِ ثٌّزوٛسر ٚوّج ٠ٍٟ ثػضذشس ثٌقجٌز ثألعجع١ز )ٔٛع ثٌٛلٛد ِٓ ٚلٛد د٠ضي ٔمٟ .1 ، ثٌٝ ٚلٛد عٕجةٟ (دجعضخذثَ ثٌذ٠ضي دّفشدٖ ألغشثض ثٌّمجسٔز .ِىْٛ ِٓ د٠ضي ٚغجص ٔفطٟ ِغجي .صغ١١ش فًّ ثٌّقشن ِٓ دال فًّ ٌٚغج٠ز ثٌقًّ ثٌىٍٟ .2 لذً ثٌٕمطز ° 45 ٌٚغج٠ز 20صغ١١شصٛل١ش فمٓ ٚلٛد ثٌذ٠ضي ِٓ .3 °.5ث١ٌّضٗ ثٌؼ١ٍج ٚدخطٛثس وً ِٕٙج ػذجسر ػٓ انًُاقشح .3 ثٌؼاللز د١ٓ ثالعضٙالن ثٌٕٛػٟ ثٌّىذقٟ ٌٍٛلٛد ٠2ٛظـ شىً ٚٔغذز ثٌطجلز ثٌقشثس٠ز ٌٛلٛد ثٌذ٠ضي إٌٝ ثٌطجلز ثٌى١ٍز ثٌذثخٍز . ٌٍّقشن ػٕذ ػًّ ثٌّقشن دؤفّجي ِقذدر 208)٠قذط ثوذش ثعضٙالن ٔٛػٟ ٌٍٛلٛد ٌألفّجي ثٌّٕخفعز kpa) ػٕذ ثلً ٔغذز ٌٛلٛد د٠ضي، ٔض١ؾز ظؼف لٛر ثٌخ١ٍػ ٚثٔخفجض وفجءر ثالفضشثق، ِٚغ ثسصفجع ٔغذز ٚلٛد ثٌذ٠ضي ٠ذذأ ثالعضٙالن ثٌٕٛػٟ ٌٍٛلٛد دجالٔخفجض، ألْ ص٠جدر و١ّز ٚلٛد ثٌذ٠ضي صؤدٞ إٌٝ ثسصفجع ثٌطجلز ثٌقشثس٠ز ثٌّٕضمٍز ِٕٙج إٌٝ ثٌٛلٛد ثٌغجصٞ، ٚدجٌضجٌٟ ثٔخفجض و١ّز ثٌٛلٛد غ١ش ثٌّقضشق ثٌزٞ ٠خشػ . ِغ ثٌغجص ثٌؼجدَ انعالقح تيٍ االستهالك انُىعي نهىقىد وَسثح انطاقح انحراريح -2-شكم نىقىد انذيسل إنى انطاقح انكهيح انذاخهح نهًحرك عُذ عًم انًحرك .تأحًال يتغيرج ٠ٚؼٛد ثالعضٙالن ثٌٕٛػٟ ٌٍٛلٛد ٌالصد٠جد ِشر أخشٜ ػٕذ ػًّ ثٌّقشن فمػ دٛلٛد ثٌذ٠ضي، ٚرٌه ألْ ِقشوجس ثٌذ٠ضي صّضجص ػِّٛج دجسصفجع ثالعضٙالن ثٌٕٛػٟ ٌٍٛلٛد ػٕذ ثألفّجي ثٌّٕخفعز، ٔض١ؾز الٔخفجض ثٌٕغذز ثٌّىجفتز ٚػذَ ثفضشثق ٚلٛد ثٌذ٠ضي . دصٛسر صجِز فؤْ أػٍٝ ثعضٙالن ((kpa 521-315ػٕذ ثألفّجي ثٌّضٛعطز ٔٛػٟ ٌٍٛلٛد ٠قذط أ٠عج ػٕذ ثلً ٔغذز ٌٛلٛد ثٌذ٠ضي، ٠ٚغضّش دجالٔخفجض ِغ ثسصفجع ٘زر ثٌٕغذز إٌٝ أْ ٠صً إٌٝ ثلً ل١ّز ٌٗ ػٕذ ػًّ ثٌّقشن فمػ دٛلٛد ثٌذ٠ضي، ٚرٌه ألْ ص٠جدر ثٌقًّ ٚثٔخفجض صشو١ض ثٌٛلٛد ثٌغجصٞ فٟ ثٌخ١ٍػ ٠ؤدٞ إٌٝ ص٠جدر و١ّز ثٌٙٛثء ثٌذثخً ٌٍّقشن ٚصقغٓ ثٌىفجءر ثٌقؾ١ّز ٌٍّقشن، ِٚٓ عُ . ص٠جدر وفجءر ثالفضشثق ، فؤْ ثلً ثعضٙالن ٔٛػٟ (kpa 652)أِج ػٕذ ثألفّجي ثٌؼج١ٌز ٌٍٛلٛد ٠قذط ػٕذ ثلً ٔغذز ٌٛلٛد ثٌذ٠ضي، دغذخ ص٠جدر فشثسر غشفز ثألفضشثق ٚثٔخفجض و١ّز ثٌٛلٛد غ١ش ثٌّقضشق، ٠ٚىْٛ أػٍٝ ل١ّٗ ٌألعضٙالن ثٌٕٛػٟ ثٌّىذقٟ ٌٍٛلٛد ػٕذ ػًّ ثٌّقشن دٛلٛد ثٌذ٠ضي دّفشدٖ، ٚرٌه ٌؼذَ صٛفش فضشر ص١ِٕز وجف١ز ٌقشق ثٌٛلٛد دصٛسر صجِز، ِّج ٠ؤدٞ إٌٝ خشٚػ و١ّز ِٕٗ ِغ ثٌغجص . ثٌؼجدَ، ثألِش ثٌزٞ ٠ؤدٞ إٌٝ ص٠جدر ثالعضٙالن ثٌٕٛػٟ ٌٍٛلٛد ثٌؼاللز د١ٓ ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز ِٚؼذي ٠3ٛظـ ثٌشىً غجلز ثٌذ٠ضي ثٌذثخٍز ٌٍّقشن ألفّجي ِقذدر، إر صذذأ وً ثٌّٕق١ٕجس ِٓ ٔمطز فصٛي إخفجق ثالشضؼجي ٔض١ؾز ٌؼذَ صٛفش ٚلٛد ثٌذ٠ضي . دى١ّجس وجف١ز ٌقصٛي ػ١ٍّز ثالفضشثق دصٛسر ِغضمشر ٠ؤدٞ ػًّ ثٌّقشن دؤفّجي ؽضة١ز ِغ صم١ًٍ ٔغذز ٚلٛد ثٌذ٠ضي ٚعذٛس ثٌقًّ إٌٝ ثٔخفجض ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز ٌٍّقشن، ٠ٚذشص ثٌضؤع١ش ثوغش ٚظٛفج ػٕذ ثألفّجي ثٌّٕخفعز، إر أْ ص٠جدر % 100 إٌٝ 11.1ِٚٓ % 100 إٌٝ 15.7ٔغذز ٚلٛد ثٌذ٠ضي ِٓ 17دجس، صؤدٞ إٌٝ ص٠جدر ثٌىفجءر دٕغذز ( 5.33 ٚ 3.08)ألفّجي . ػٍٝ ثٌضٛثٌٟ% 10ٚ انعالقح تيٍ انكفاءج انحراريح انًكثحيح وَسثح انطاقح -3-شكم .انحراريح نىقىد انذيسل إنى انطاقح انكهيح انذاخهح إنى انًحرك أِج ػٕذ ػًّ ثٌّقشن دقًّ لش٠خ ِٓ ثٌقًّ أللصٝ دقذٚد دجس، فمذ ٌٛفع صغجٚٞ ل١ُ ثٌىفجءر ثٌقشثس٠ز ٌّقشن ٚلٛد 7.52 عٕجةٟ ٌقجٌز ثٌؼًّ دٛلٛد د٠ضي فمػ، ٚرٌه الْ ِقشن عٕجةٟ ثٌٛلٛد ٠ّىٓ أْ ٠قشق و١ّز ثوذش ِٓ ثٌٛلٛد ثٌغجصٞ ثٌزٞ ٠ّأل غشفز ثالفضشثق، ٔض١ؾز ٌضى٠ٛٓ ثٌؼذ٠ذ ِٓ ؽذٙجس ثٌٍٙخ ثٌّٕضششر دثخً غشفز ثالفضشثق ٚثٌقصٛي ػٍٝ ثفضشثق دصٛسر وفٛءر، ٚدجٌضجٌٟ ص٠جدر ثٌمذسر ثٌٕجصؾز ِٓ ثٌّقشن، أِج ػٕذِج ٠ىْٛ ثٌٛلٛد عجةال فجْ لطشثس ثٌذ٠ضي ال ٠ّىٓ أْ صشغً ف١ض غشفز ثالفضشثق دؤوٍّٙج، 200 300 400 500 0 10 20 30 40 50 60 70 80 90 100 s p e c if ic f u e l c o n su m p ti o n (g /k w .h r ) diesel fuel energy rate (%) n=1000 rpm, it=26btdc, cr=16.21:1 bmep=652kpa bmep=521kpa bmep=433kpa bmep=315kpa bmep=208kpa 10 15 20 25 30 0 20 40 60 80 100 b r a k e t h e r m a l e ff ic ie n c y diesel fuel energy rate n=1000rpm, it=26btdc, cr=16.21:1 bmep=652 kpa bmep=5621 kpa bmep=433 kpa bmep=315 kpa bmep=208 kpa (2012) 103-97، انصفحح 2، انعذد8يجهح انخىارزيي انهُذسيح، انًجهذ يعٍ جُاٌ تشير 100 ٠ٕٚضؼ ػٓ رٌه خشٚػ و١ّز ِٓ ثٌٛلٛد غ١ش ثٌّقضشق ِغ ثٌغجص . ثٌؼجدَ ٔالفع ِٓ ثٌّٕق١ٕجس أْ ص٠جدر ثٌقًّ صؤدٞ إٌٝ ص٠جدر ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز ٌٕفظ ثٌىضٍز، ٚرٌه الْ ص٠جدر ثٌقًّ صؤدٞ إٌٝ . صقغ١ٓ وفجءر ثالفضشثق انعالقح تيٍ انكفاءج انحراريح انًكثحيح ويتىسظ انضغظ انفعال -4-شكم عُذ عًم انًحرك تىقىد ديسل فقظ، وتأقم َسثح يٍ انطاقح انحراريح .نىقىد ديسل إنى انطاقح انكهيح انذاخهح نهًحرك ثٌؼاللز د١ٓ ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز ٠4ٛظـ شىً ِٚضٛعػ ثٌعغػ ثٌفؼجي ػٕذ ػًّ ثٌّقشن دٛلٛد د٠ضي ، ٚدؤلً ٔغذز ِٓ ثٌطجلز ثٌقشثس٠ز ٌٛلٛد د٠ضي إٌٝ %(100) . ثٌطجلز ثٌى١ٍز ثٌذثخٍز ٌٍّقشن صضشثٚؿ ثلً ٔغذز ِٓ ٚلٛد ثٌذ٠ضي ثٌالصِز ٌؼًّ ثٌّقشن عٕجةٟ ثٌٛلٛد دصٛسر ِغضمشر ٚدغذٛس وً ِٓ ثٌغشػز ٚصٛل١ش إٌٝ 18.2ثٌقمٓ ٚٔغذز ثالٔعغجغ ٚألفّجي ِخضٍفز دقذٚد ِٓ أِج ػٕذ . ِٓ ثٌطجلز ثٌقشثس٠ز ثٌذثخٍز إٌٝ ثٌّقشن% 19.3 ثألفّجي ثٌمصٜٛ ٚثٌمش٠ذز ِٕٙج ف١ٍضمٟ ثٌّٕق١ٕجْ ػٕذ ٔمطز ِؼ١ٕز، ِّج ٠ؼٕٟ أْ أظجفز و١ّجس أوذش ِٓ ٚلٛد ثٌذ٠ضي غ١ش ِذشسر ٚال صغذخ ص٠جدر صزوش فٟ ل١ُ ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز ٌٍّقشن، وّج . ٠ذ١ٓ ثٌشىً انعالقح تيٍ انطاقح انحراريح انتي يستههكها انًحرك وَسثح -5-شكم .انطاقح انحراريح نىقىد انذيسل إنى انطاقح انكهيح ، ٚثٌزٞ 5أِج ػٕذ ػًّ ثٌّقشن دذْٚ فًّ، وّج ٠ٛظـ شىً ٠ذ١ٓ ثٌؼاللز د١ٓ ثٌطجلز ثٌقشثس٠ز ثٌضٟ ٠غضٍٙىٙج ثٌّقشن ٚٔغذز ثٌطجلز ثٌقشثس٠ز ٌٛلٛد ثٌذ٠ضي إٌٝ ثٌطجلز ثٌى١ٍز، فجْ ثٔخفجض و١ّز ثٌٛلٛد غ١ش ثٌّقضشق ٚثسصفجع ثٌطجلز ثٌقشثس٠ز ثٌضٟ ٠غضٍٙىٙج ثٌّقشن صغذخ ص٠جدر وفجءر ثالفضشثق فٟ ثٌٕغخ ثٌؼج١ٌز ٌٛلٛد أِج ثٔخفجض ٔغذز ٚلٛد ثٌذ٠ضي فضؤدٞ إٌٝ ػذَ ثفضشثق . ثٌذ٠ضي ثٌٛلٛد دصٛسر صجِز، ِّج ٠غضذػٟ ص٠جدر و١ّز ثٌٛلٛد ثٌضٟ ٠قضجؽٙج .ثٌّقشن ٌٍقفجظ ػٍٝ ثٌغشػز ثٌّطٍٛدز ، ثٌؼاللز د١ٓ ل١ُ ثٌعغػ ثٌّغؾٍز ٌٕغخ ِخضٍفز ٠6ذ١ٓ شىً ِٓ ثٌطجلز ثٌقشثس٠ز ٌٛلٛد ثٌذ٠ضي إٌٝ ثٌطجلز ثٌى١ٍز ثٌذثخٍز ٌٍّقشن، ٠ٚالفع ثٔخفجض ثٌم١ّز ثٌمصٜٛ ٌٍعغػ ػٕذ ثألفّجي ثٌؾضة١ز فٟ فجٌز ػًّ ثٌّقشن دٕغخ ِٕخفعز ِٓ ٚلٛد ثٌذ٠ضي، إْ ل١ّز ثٌعغػ ثأللصٝ ٌألعطٛثٔز ِٕخفعز، ٚصضدثد ِغ ص٠جدر .ٔغذز ثٌٛلٛد ثٌذ٠ضي إٌٝ أْ صصً إٌٝ أػٍٝ ل١ّز ٌٙج ٚػٕذ ثألفّجي ثٌّضٛعطز فؤْ ثٔخفجض و١ّز ثٌٛلٛد ثٌغجصٞ فٟ ثٌخ١ٍػ صغذخ ص٠جدر و١ّز ثٌٙٛثء ثٌذثخً ٌألعطٛثٔز، ٚأْ ثسصفجع ٔغذز ٚلٛد ثٌذ٠ضي صؤدٞ إٌٝ ص٠جدر و١ّز ثٌقشثسر ثٌّضقشسر ِٕٗ . ٚثٌّٕضمٍز إٌٝ ثٌٛلٛد ثٌغجصٞ ِّج ٠ض٠ذ ِٓ وفجءر ثالفضشثق أِج ػٕذ فًّ لش٠خ ِٓ ثٌقًّ ثأللصٝ فؤْ أػٍٝ ل١ّز ٌٍعغػ دثخً ثالعطٛثٔز صقذط ػٕذ ػًّ ثٌّقشن دؤلً ٔغذز ِٓ ٚلٛد ثٌذ٠ضي، ٚصذذأ ثٌم١ّز دجالٔخفجض ثٌضذس٠ؾٟ ِغ ص٠جدر ٔغذز ٚلٛد ثٌذ٠ضي، ٔض١ؾز ٔمصجْ فضشر صؤخ١ش ثالشضؼجي، ٚػذَ صٛفش فضشر ص١ِٕز وجف١ز ٌضقع١ش أوذش و١ّز ِٓ ثٌٛلٛد ثٌؾج٘ض ٌالشضؼجي، ٚثْ غذ١ؼز ثٌخٍػ فٟ ثٌٕغخ ثٌؼج١ٌز ٌٍٛلٛد ثٌغجصٞ فٟ ِقشن ٚلٛد عٕجةٟ ػٕذ ثألفّجي ثٌؼج١ٌز ثفعً دىغ١ش ِٓ غذ١ؼز ثٌخٍػ فٟ ِقشن ٠ؼًّ دجٌذ٠ضي فمػ، ِّج ٠ؤدٞ إٌٝ صمذَ ٚثٔضشجس ثٌٍٙخ، ٚفصٛي ثالفضشثق دصٛسر عش٠ؼز ٚوفٛءر، إرث ثٔخفعش ثٌم١ّز ثٌمصٜٛ . ٌٍعغػ ػٕذ ػًّ ثٌّقشن فمػ دٛلٛد ثٌذ٠ضي قيى انضغظ انًسجهح نًجًىعح انتجارب نُسة يختهفح يٍ -6شكم .انطاقح انحراريح نىقىد انذيسل إنى انطاقح انكهيح انذاخهح نهًحرك إْ فضشر صؤخ١ش ثالشضؼجي ثٌّمجعز دذالٌز دسؽجس ػّٛد ثٌّشفك ِٓ ِٕقٕٝ ثٌعغػ ِغ دسؽجس ػّٛد ثٌّشفك، صّغً ثٌفضشر ثٌّقصٛسر ِٓ دذث٠ز فمٓ ثٌٛلٛد إٌٝ ثٌذسؽز ثٌضٟ ٠ٕفصً ف١ٙج ِٕقٕٝ ثٌعغػ ػٕذ فصٛي ثالفضشثق ػٓ ِٕقٕٝ ثٌعغػ ٌٍٙٛثء . فٟ فجٌز صذ٠ٚش ثٌّقشن دغذٛس ثٌغشػز ، ثٌؼاللز د١ٓ ثٌذسؽز ثٌضٟ ٠ضُ دٙج دذء ثالشضؼجي ٠7ٛظـ شىً دسؽز لذً ثٌٕمطز ث١ٌّضز ثٌؼ١ٍج، ٌٕغخ 26دغذٛس صٛل١ش ثٌقمٓ ػٕذ 0 5 10 15 20 25 30 35 0 200 400 600 800 1000 b r a k e t h e r m a l e ff ic ie n c y brake mean effictive pressure n=1000rpm, it=26 btdc, cr=16.21:1 100% diesel fuel min. percentage of diesel fuel 10 12 14 16 18 0 20 40 60 80 100 e n e r g y i n si d e e n g in e ( k w ) diesel fuel energy rate n=1000 rpm, it=26btdc, cr=16.21:1 300 400 500 600 700 800 0 20 40 60 80 100 c y li n d e r m a x . p r e ss u r e diesel fuel energy rate n=1000 rpm, it=26 btdc, cr=16.21 bmep=652 kpa bmep=521 kpa bmep=433 kpa bmep=315 kpa bmep=208 kpa bmep=0 kpa (2012) 103-97، انصفحح 2، انعذد8يجهح انخىارزيي انهُذسيح، انًجهذ يعٍ جُاٌ تشير 101 ِخضٍفز ِٓ ثٌطجلز ثٌقشثس٠ز ٌٛلٛد ثٌذ٠ضي إٌٝ ثٌطجلز ثٌى١ٍز ثٌذثخٍز إر ٌٛفع ص٠جدر فضشر ثٌضؤخ١ش ػٕذ ثٌٕغخ . ٌٍّقشن ٚدؤفّجي ِخضٍفز ثٌؼج١ٌز ٌٍٛلٛد ثٌغجصٞ، ٚال صٍذظ أْ صٕخفط ِغ ٔمصجْ ٘زر ٚرٌه الْ ص٠جدر ٔغذز ثٌٛلٛد ثٌغجصٞ فٟ ثٌخ١ٍػ صؤدٞ إٌٝ ثٌٕغذز، ثٔخفجض و١ّز ثٌٙٛثء ثٌذثخً ٌٍّقشن ٔض١ؾز ثٌقؾُ ثٌزٞ ٠شغٍٗ دذال ِٓ ثٌٙٛثء، وّج صغذخ ص٠جدر غٛي فضشر ثٌضؤخ١ش ثٌى١ّ١جة١ز ٌٍخ١ٍػ . ٔض١ؾز ػذَ صٛفش ثألوغؾ١ٓ دى١ّجس وذ١شر انعالقح تيٍ تأخر األشعال وَسة انطاقح انحراريح نىقىد انذيسل -7-شكم .إنى انطاقح انكهيح انذاخهح نهًحرك ألحًال يختهفح صضؤعش فضشر صؤخ١ش ثالشضؼجي دجٌعغػ ٚدسؽز فشثسر ثٌخ١ٍػ أعٕجء شٛغ ثالٔعغجغ، إر صمً ٘زر ثٌفضشر دض٠جدر دسؽز ثٌقشثسر ٚثٌعغػ ٌٍخ١ٍػ، ٚدّج أْ ص٠جدر ثٌقًّ صغذخ ص٠جدر دسؽز فشثسر ِىٛٔجس . ثالعطٛثٔز، ٌزث صمً ٘زر ثٌفضشر االستُتاجاخ .4 صؤدٞ ص٠جدر ٔغذز ٚلٛد ثٌذ٠ضي فٟ ثألفّجي ثٌّٕخفعز إٌٝ .1 ثٔخفجض ثالعضٙالن ثٌٕٛػٟ ٌٍٛلٛد، إٌٝ أْ صصً ثلً ل١ّز ٌٗ ِٓ ٚلٛد ثٌذ٠ضي، دؼذ رٌه % 60 ٌغج٠ز 40ػٕذ ٔغخ دقذٚد . ٠ؼٛد ٌالسصفجع ِشر أخشٜ ٠قصً أػٍٝ ثعضٙالن ٔٛػٟ ٌٍٛلٛد فٟ ثألفّجي ثٌّضٛعطز .2 ٚػٕذ فًّ لش٠خ ِٓ ثٌقًّ . ػٕذ ثلً ٔغذز ِٓ ٚلٛد ثٌذ٠ضي ثٌىٍٟ ٠قذط ثلً ثعضٙالن ٔٛػٟ ٌٍٛلٛد ػٕذ ثلً ٔغذز ِٓ .ٚلٛد ثٌذ٠ضي صغذخ ص٠جدر ٔغذز ٚلٛد ثٌذ٠ضي فٟ ثألفّجي ثٌّٕخفعز إٌٝ .3 ثسصفجع ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز صذس٠ؾ١ج، ٚدصٛسر أٚظـ إْ . ِّج ٘ٛ ػ١ٍٗ ثٌقجي ػٕذ ػًّ ثٌّقشن دؤفّجي ِضٛعطز ثٌىفجءر ثٌقشثس٠ز ثٌّىذق١ز ٌّقشن ٚلٛد عٕجةٟ فٟ ثألفّجي .ثٌؼج١ٌز ثوذش ِٓ ل١ّٙج ػٕذ ثٌؼًّ دجألفّجي ثٌؾضة١ز ػٕذ ػًّ ثٌّقشن دقًّ لش٠خ ِٓ ثٌقًّ ثٌىٍٟ فؤْ ثٌىفجءر .4 ثٌقشثس٠ز ثٌّىذق١ز ٌٍّقشن ثٌغٕجةٟ صىْٛ ِغج٠ٚز صمش٠ذج ٌم١ّضٙج .ػٕذ ثٌؼًّ دٛلٛد د٠ضي فمػ إْ أػٍٝ ل١ّز ٌٍعغػ ثأللصٝ ٌألعطٛثٔز فٟ ثألفّجي .5 ثٌّٕخفعز ٠قذط ػٕذ ػًّ ثٌّقشن دٛلٛد د٠ضي فمػ، ف١ّج صىْٛ أػٍٝ ل١ّز ٌٗ ػٕذ ػًّ ثٌّقشن دؤفّجي ِضٛعطز ػٕذ ِٓ ٚلٛد ثٌذ٠ضي، أِج ػٕذ % 60 ث40ٌٝٔغخ ِقصٛسر د١ٓ فًّ لش٠خ ِٓ ثٌقًّ ثٌىٍٟ فجْ أػٍٝ ل١ّز ٌٍعغػ ثأللصٝ .دثخً ثالعطٛثٔز ٠قذط ػٕذ ثلً ٔغذز ٚلٛد د٠ضي ،1جذول .يىاصفاخ انًحرك انًستخذو في انثحث technical characteristics prodit s.a.s. manufacture otto or diesel, four strokes -cycle 1 vertical -number of cylinder 90 mm -diameter 85 mm -stroke 541 cm3 -swept volume 4÷17.5 -compression ratio 4 kwat 2800 rpm -max. power 28nm at 1600rpm -max torque -water cooled 500÷3600 rpm (otto cycle) -no load speed rang 1200÷3600 rpm (otto cycle) -load speed range 54⁰ before t.d.c. -intake start 22⁰ after t.d.c. -intake end 22⁰ before t.d.c. -exhaust start 54⁰ after t.d.c. -exhaust end 10⁰ (spark ignition) -fixed spark advance 8 10 12 14 16 18 20 22 0 20 40 60 80 d e la y t im e diesel fuel energy rate n=1000 rpm, it=26 btdc, cr=16.21 bmep=652 kpa bmep=521 kpa bmep=433 kpa bmep=315 kpa bmep=208 kpa bmep=0 kpa (2012) 103-97، انصفحح 2، انعذد8يجهح انخىارزيي انهُذسيح، انًجهذ يعٍ جُاٌ تشير 102 قائًح انريىز انًستخذيح atdc دؼذ ثٌٕمطز ث١ٌّضز ثٌؼ١ٍج btdc لذً ثٌٕمطز ث١ٌّضز ثٌؼ١ٍج ºca دسؽجس ِٓ ػّٛد ثٌّشفك cr ٔغذز ثألٔعغجغ far ٔغذز ثٌٛلٛد ثٌٝ ثٌٙٛثء oit ًصٛل١ش ثٌقمٓ ثألِغ bmep ِضٛعػ ثٌعغػ ثٌّىذقٟ ثٌفؼجي bp ثٌمذسر ثٌّىذق١ز bsfc ٟأعضٙالن ثٌٛلٛد ثٌٕٛػٟ ثٌّىذق انًصادر .6 [1] salariya, k s, sethi, v, exhaust analysis and performance of a single cylinder diesel engine run on dual fuels, ie (i) journal, vol.85, 2004. [2] karim, g.a. and klat, s.r. and moore, n.p.w., knock in dual fuel engine, proc. inst. of mech. eng., vol. 181, pt.1, 1996. [3] karim, g.a., a review of combustion processes in the duel fuel engines, the gas diesel engine, prog. energy combustion sci. j., vol. 1, 1989. [4] annand, w.j.d., heat transfer in the cylinder s of reciprocating internal combustion engine, ph.d. thesis, university of manchester, england, 1992. [5] yamin, a. a., servastava, r. m., performance compression of lpg and gasoline as fuels of ambassador car engine, ie(i) journal-mc, vol. 84, 2003. [6] mockus, s., sapragonas, j., stonys, a., pukalskas, s., analysis of exhaust gas composition of internal combustion engines using lpg, journal of environmental engineering and landscape management, vol. 15, n0. 1, 2006 [7] song, s and hill, p.g., duel fueling of a prechamber diesel engine with natural gas, sae paper no.991115, 1999. [8] benea b c and soica a o, researches regarding using lpg on diesel engine, fascicle of management and technological engineering, vol. vi (xvi), 2007. [9] karim g a, an examination of some measures for improving the performance of gas fuelled diesel engine at light load. sae transactions, 912366, 1991. [10] qi d h, bian y zh, ma zh y, zhang ch h and liu sh q, combustion and exhaust emission characteristics of a compression ignition engine using liquefied petroleum gasdiesel blended fuel. energy conversion and management, vol. 48, no.2, pp: 500 -509, 2007. [11] sethi v p and salariya k s, exhaust analysis and performance of a single cylinder diesel engine run on dual fuels, ie (i) journal.mc vol. 85, april, 2004. maan janan basheer al-khwarizmi engineering journal, vol.8, no.2, pp 97-103 (2012) 103 study of effect of diesel fuel energy rate in duel fuel on performance of compression ignition engine maan janan basheer department of machines and equipment engineering /university of technology abstract the aim of this work is to study the effect of diesel fuel percentage on the combustion processes in compression ignition engine using dual – fuel (diesel and lpg). the brake thermal efficiency increased with the increase of diesel fuel rate at low loads, and decreased when load increased. to get sufficient operation in engine fueled with dual fuel, it required sufficient flow rate of diesel fuel, if the engine fueled with insufficient diesel fuel erratic operation with miss fire cycles presented. dual-fuel operation at part load showed higher specific fuel consumption than straight diesl operation. at full loads, brake specific fuel consumption of duel fuel engine approaches that for diesel fuel values. shoaf, w dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 58 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.2, no.1,pp 85-97, (2006) extraction of chlorophyll from alfalfa plant isam kamal dr.ahmed jawad ali khalid khudair al-jomaily chem. eng. dept biochem. eng. dept chem. eng. dept university of technology khwarizmycollege of eng university of technology university of baghdad (received 5 december 2005; accepted 4 april 2006) abstract: the extraction process of chlorophyll from dehydrated and pulverized alfalfa plant were studied by percolation method. two solvent systems were used for the extraction namely; ethanol-water and hexane-toluene systems . the effect of circulation rate, solvent concentration, and solvent volume to solid weight ratio were studied. in both ethanol water, and hexane-toluene systems it appears that solvent concentration is the most effective variable. keywords: chlorophyll, extraction, percolation, alfalfa 1.introduction chlorophyll, so defined, is a mixture of green pigments, which is always combined by other pigments, principally those of the carotenoid group [1]. alfalfa is usually used as a green plant source for the extraction of chlorophyll because of its availability along all seasons of the year and because of its low price. chlorophyll is relatively labile and during isolation it is necessary to protect it from degradation. as a general precaution, it is advantageous to work in dim light and low temperature to avoid pigment loss[2]. for extraction of high quality chlorophyll, there are many laboratory methods [3-10]. the most popular applied process is the extraction of chlorophyll by hexane or ethanol where both batch (percolation) and continuous processes (cstr) were used [11,12]. no data appeared in literature for the evaluation of process parameters for the extraction of chlorophyll. hence the purpose of this study is to investigate the process parameters for the extraction of chlorophyll from dehydrated alfalfa plant using percolation method. these parameters are namely; circulation rate of solvent, type and concentration of solvent, and volume of solvent to solid weight ratio. different solvent systems were used for the extraction, namely, ethanolwater, and hexane-toluene blend. 2.experimental work material the alfalfa used for extraction was first dried in an oven at 45-500c for 1-2 hours[11]. then the dried alfalfa was dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 58 finely ground in a ball mill and then screened in a 50-mesh screen[11]. the 50 mesh size cut of alfalfa was used in the extraction experiments. ethanol (95%, near isotropic concentration obtained from atmospheric distillation ) used in ethanol-water system was supplied by general company for drinking and food industry. hexane is supplied by tagi gas plant while toluene (99.9%) was supplied by arabian company for detergents chemicals. 3. description of equipment extraction experiments were carried out in qvf glass rig (fig. 1) [13]. the extractor is a qvf cylindrical vessel of 21 cm in diameter and 58 cm height. in the extractor a cloth pocket is introduced filled with alfalfa. liquid is distributed on the alfalfa pocket by a porous glass distributor. solvents were circulated from a 20 liter qvf spherical vessel. a centrifugal pump(q=2160 l/h, head = 3m) were used for solvent extraction. a qvf rota meter (0-400 l/h) was used to control the volumetric flow rate of solvent. the batch distillation system for the recovery of chlorophyll and solvents consists of qvf cylindrical vessel, qvf condenser with double coil of 8 cm in diameter and 50 cm high. a 148 kw electrical heater (stabilag, england) was used in batch distillation. a digital temperature indicator controller was used for controlling temperature in batch distillation within 0 – 400 0c. a chiller (mgw lauda) was used for cooling of water necessary for the condensation of solvent vapors in the condenser. a ball mill (siemens) was used for grinding dehydrated alfalfa meal. 4. experimental procedure for the extraction system, the cloth pocket is filled with 1 kg of pulverized dehydrated alfalfa meal and then placed in the extraction cylindrical vessel. the spherical circulating vessel is filled with a certain volume of solvent. before starting the experiments the solvent is heated to 350c and kept constant at this temperature throughout the experiments using a temperature controller in order to compare the different operation conditions at constant temperature . then the circulating pump was switched on to circulate the solvent through the extractor and the spherical vessel. a needle valve was used for adjusting the volumetric flow rates of solvent at the desired value as indicated on the rotameter. the circulation of solvent was continued for a maximum duration of 3 hours. every fifteen minutes, a sample was taken for the solvent by a pipette. the concentration of chlorophyll in the sample was measured by atomic absorption spectrophotometer at the university of technology by measuring the ratio of absorbencies at 654 nm (a645) and 663 nm (a663). the concentration can then be calculated using the following equation[ 17 ]: total chlorophyll (mg/l) = 20.2 a645 + 8.02 a663 -----------------(1) when the concentration of chlorophyll remains constant, the extraction experiment was stopped. batch distillation is used for the concentration of the product and for the recovery of solvent. the temperature of distillation of solvents must not affect the color of the solute (chlorophyll). this temperature was 900c for ethanol-water system and 80 0c for hexane-toluene system. this process for the separation of concentrated chlorophyll and recovery of the solvent were proceeded for 5-6 hours. 5. results & conclusion the effect of operating variables on the extraction rate of chlorophyll for dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 58 ethanol-water and hexane-toluene systems from alfalfa were studied in this work. the percentage of extracted chlorophyll was calculated using the following relationship : amount of chlorophyll dissolved % extracted chlorophyll = --------------------------------------------------- total amount of chlorophyll in dehydrated alfalfa meal 6. the effect of circulated rates of solvent both system (figs. 2 and 3 ), the percentage of extracted chlorophyll increased with increasing circulation rates of solvent. the two main steps of mass transfer in the extraction process are diffusion of the fluid through solid and diffusion through film surrounding solid particles. since solid particles are pulverized, the resistance to mass transfer by molecular diffusion of the solute from solid internal pores to the film surrounding solid particles will be smaller than the solute mass transfer across the film surrounding the particles to the solvent bulk. hence, the expected rate controlling step is the diffusion of solute through film surrounding solid particles to the solvent bulk. it is well known that extraction efficiency increased with increasing velocity of solvent. this phenomena is applicable for laminar flow (131 < re <431) , since in turbulent flow increasing of velocity of solvent have little effect on extraction rate [ 14 ]. in our case, the flow inside extractor is streamline (laminar), so the effect of velocity is noticed. 7. the effect of solvent concentration in ethanol-water system (fig. 4 ), it can be noticed that the percentage of extracted chlorophyll increased as concentration of ethanol increased. this behavior can be explained as follows; higher concentration of ethanol means lower viscosity of solvent. this will lead to higher wetting of solids and hence increase extraction rates[16]. it also appeared in fig. 3 that lower concentration of ethanol (50%) indicates lower extraction efficiency of chlorophyll. hence, the minimum concentration used for the extraction of chlorophyll must be not less than 70%. this result is in agreement with the conclusion of othmer [15]. the effect of blending of hexane and toluene on the percentage of chlorophyll extract is shown in fig. 5. the percentage of extracted chlorophyll when using a pure hexane did not exceed 77%. at toluene concentration of less or equal to 21% by volume, the extraction efficiency is increased, while the extraction efficiency is decreased at toluene concentration greater than 21% [13]. this behavior can be explained as follows[9] ; the phytol group (c20h39oh) is a long-chain alcohol separated from the structure of chlorophyll and when the extraction process started, the phytol group is freely mobile in the liquid phase. this layer of phytol is impeded the nonpolar solvent (hexane) to penetrate through the chlorophyll [9]. but when a certain volume of toluene (21%) is blended with hexane, a reaction occurs between toluene and phytol group which produced aromatic alcohol (benzyl alcohol). this aromatic is considered a more stronger solvent than pure hexane. on increasing the percentage of toluene above 21%, the physical properties of toluene as a solvent will be the controlling step, hence the extraction efficiency dropped. dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 55 8. the effect of solvent volume to solid weight ratio as shown in figs. 6,7, the percentage extracted chlorophyll increased with increasing volume of solvent for both system. this behavior could be explained as follows; as the volume of the solvent increased, the concentration difference (which is one of the most effective driving forces for mass transfer) will be increased and hence the extraction efficiency will be increased. but on increasing volume of solvent with respect to solid weight, the cost of solvent recovery will be increased with respect to volume of the distillation unit and the power applied. 9. conclusion 1the extraction rate of chlorophyll increased when; increasing the circulation rate of solvent in the two systems, increasing the concentration of ethanol, blending less than 21% of toluene in toluene-hexane system, and increasing solvent volume to solid weight ratio. 2for ethanol water system, the effect of ethanol concentration on percentage of extracted chlorophyll was found to be most effective compared to circulation rate of solvent and volume of solvent to weight ratio. while the minimum concentration of ethanol used in the extraction must not be less than 70%. 3in hexane-toluene system, the effect of hexane toluene blend is the most effective parameter on percentage of extracted chlorophyll compared to the effect of circulation rates and solvent volume to solid weight ratio. while the optimum concentration of blend was found to represent 21% toluene and 79% hexane. 10. references 1dobrota, g.l., katz, j.j., thomas, m.r., "separation of chlorophyll pigment from plants", agr. food chem. 8, 4, 3 (1987). 2mcfeeters, p.s., and kempster, h.l., "the chlorophyll", j.plant physiol. 17, 3, 600618(1971). 3schertz, f.m., "isolation of chlorophyll, carotene and xanthophylls by improved methods", ind. eng. chem. 30, 2, 1073-1075(1938). 4 iriyama, k., ogura, n., takamiya, a., " a simple method for extraction and partial purification of chlorophyll from plant material, using dioxane", j.biochem. 76, no.4, 901904(1974). 5shoaf, w.t. and b.w. lium, " improved extraction of chlorophyll a and b from algae using dimethyl sulfoxide", limnol. oceanogr. 21, 926 928 (1976). 6hiscox, j.d. and g.f. israaelstan. "a method for the extraction of chlorophyll from leaf tissue without maceration". can. j. bot. 57, 1332—1334 (1979). 7 johnson, a. b., "chlorophyll extraction techniques", in: "methods in plant physiology", editors: e. will and f. bill, cambridge university press, cambridge, 25-30(1989). 8agar, i.t., s. cetiner, j.m. garcia and j. streif, "a method of chlorophyll extraction from dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 58 fruit peduncles: application to red currants", tr. j. of agricultural and forestry 18, 209-212 (1994). 9eigenberg, k.e., croasmun, w.r., "extraction of chlorophyll from chlorophyllproteins", j.biochim. biophys. acta, 642, 3, 438(1981). 10wood, l. w. , "chloroformmethanol extraction of chlorophyll a", can. j. fish. aquat. sci. 42, 38-43(1985). 11judah, m.a., burdick, e.m., and robert, g.c., "chlorophyll, by solvent extraction", ind& eng. chem. 46, 11, 2262-2271(1954). 12shearon, w., gee, d.f., "caroten and chlorophyll commercial chromatographic production", ind. & eng. chem. 41, 2, 218-226(1949). 13 al-jomaily, k.k., "optimization of chlorophyll extraction from alfalfa meal", m.sc. thesis, university of technology, baghdad (2000). 14 sungtan, c., kweiliang, s., and chungliou, "liquid-solid mass transfer in extractor", chem. eng. 38, dec., 1722(1988). 15davies, j.t., and rideal, e.k., "interfacial phenomena", academic press, inc., 2nd edition (1961). 16othmer, k., "encyclopedia of chemical technology", 2nd edition, john wiely and sons, inc., vol.5, 339(1964). 17harborne, j.b., "photochemical methods", chapman and hall, london, 1973. dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 89 ( 1 ) d i s t r i b u t e r ( 2 ) c o n d e n s e r ( 3 ) c y l i n d r i c a l v e s s e l ( 4 ) r o t a m e t e r ( 5 ) c e n t r i f u g a l p u m p ( 6 ) d i g i t a l t e m p . c o n t r o l l e r ( 7 ) c h i l l e r ( 8 ) s t o r a g e t a n k ( 9 ) s t o r a g e t a n k ( 1 0 ) h e a t e r ( 1 1 ) s a m p l i n g p o i n t ( 1 2 ) s e n s o r s ( 1 3 ) s p h e r i c a l v e s s e l ( 1 4 ) c l o t h p o c k e t 7 8 9 1 3 1 4 2 5 f i g u r e ( 1 ) : g e n e r a l f l o w d i a g r a m o f e x p e r i m e n t a l r i g . 6 1 0 4 3 1 1 1 1 2 dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 89 f ig u re ( 2 ) : e ff e c t o f c ir c u la ti o n r a te s o n c h lo ro p h y ll e x tr a c ti o n w it h 7 2 % e th a n o l (v o l. o f s o lv e n t/ w t. o f s o li d s : 1 1 /1 ). 0 1 0 2 0 3 0 4 0 5 0 6 0 0 2 0 0 0 4 0 0 0 6 0 0 0 8 0 0 0 1 0 0 0 0 1 2 0 0 0 1 4 0 0 0 1 6 0 0 0 e x tr a c ti o n t im e , s e c chlorophyll extracted (wt%) c ir c u la ti o n ra te = 0 .1 4 c u .m /h c ir c u la ti o n r a te = 0 .2 4 c u .m /h c ir c u la ti o n r a te = 0 .3 4 c u .m /h dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 89 f ig u re (3 ) : e ff e c t o f s o lv e n t c o n c e n tr a ti o n o n c h lo ro p h y ll e x tr a c ti o n w it h e th a n o l s o lu ti o n a t a c ir c u la ti o n r a te o f 0 .2 4 c u .m /h ( v o l. o f s o lv e n t/ w t. o f s o li d : 1 1 /1 ). 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 1 0 0 0 2 0 0 0 4 0 0 0 6 0 0 0 8 0 0 0 1 0 0 0 0 1 2 0 0 0 1 4 0 0 0 e x tr a c ti o n t im e , s e c chlorophyll extracted (wt%) s o lv e n t c o n c e n tr a ti o n = 5 0 % s o lv e n t c o n c e n tr a ti o n = 7 2 % s o lv e n t c o n c e n tr a ti o n = 9 4 % dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 89 f ig u re ( 4 ) : e ff e c t o f v o l. o f s o lv e n t/ w t. o f s o li d r a ti o o n c h lo ro p h y ll e x tr a c ti o n w it h 7 2 % e th a n o l a t a c ir c u la ti o n r a te o f 0 .2 4 c u .m /h . 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 0 2 0 0 0 4 0 0 0 6 0 0 0 8 0 0 0 1 0 0 0 0 1 2 0 0 0 1 4 0 0 0 e x tr a c ti o n t im e , s e c chlorophyll extracted (wt%) v o l. s o lv e n t/ w t. s o lid = (8 /1 ) v o l. s o lv e n t/ w t. s o lid = (1 1 /1 ) v o l. s o lv e n t/ w t. s o lid = ( 1 4 /1 ) dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 89 f ig u re ( 5 ) : e ff e c t o f c ir c u la ti o n r a te o n c h lo ro p h y ll e x tr a c ti o n w it h h e x a n e -t o lu e n e b le n d ( 7 9 % h e x a n e ) (v o l. o f s o lv e n t/ w t. o f s o li d : 1 1 /1 ). 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 1 0 0 0 2 0 0 0 4 0 0 0 6 0 0 0 8 0 0 0 1 0 0 0 0 1 2 0 0 0 1 4 0 0 0 e x tr a c ti o in t im e , s e c chlorophyll extracted (wt%) c ir c u la ti o n r a te = 0 .1 4 c u .m /h c ir c u la ti o n r a te = 0 .2 4 c u .m /h c ir c u la ti o n r a te = 0 .3 4 c u .m /h dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 88 f ig u re ( 6 ) : e ff e c t o f s o lv e n t c o n c e n tr a ti o n o n c h lo ro p h y ll e x tr a c ti o n w it h h e x a n e t o lu e n e b le n d a t a c ir c u la ti o n r a te o f 0 .2 4 c u .m /h . 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 1 0 0 0 2 0 0 0 4 0 0 0 6 0 0 0 8 0 0 0 1 0 0 0 0 1 2 0 0 0 1 4 0 0 0 e x tr a c ti o in t im e , s e c chlorophyll extracted (wt%) s o lv e n t c o n c e n tr a ti o n = 1 0 0 % t o lu e n e s o lv e n t c o n c e n tr a ti o n = 1 0 0 % h e x a n e s o lv e n t c o n c e n tr a ti o n = 7 9 % h e x a n e dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 88 f ig u re ( 7 ) : e ff e c t o f v o l. o f s o lv e n t/ w t. o f s o li d r a ti o o n c h lo ro p h y ll e x tr a c ti o n w it h h e x a n e -t o lu e n e b le n d ( 7 9 % h e x a n e ) a t a c ir c u la ti o n r a te o f 0 .2 4 c u .m /h . 0 2 0 4 0 6 0 8 0 1 0 0 1 2 0 0 2 0 0 0 4 0 0 0 6 0 0 0 8 0 0 0 1 0 0 0 0 1 2 0 0 0 1 4 0 0 0 e x tr a c ti o in t im e , s e c chlorophyll extracted (wt%) v o l. s o lv e n t/ w t. s o lid = (8 /1 ) v o l. s o lv e n t/ w t. s o lid = (1 1 /1 ) v o l. s o lv e n t/ w t. s o lid = (1 4 /1 ) dr.ahmed jawad /al-khwarizmi engineering journal, vol.2, no.1,pp 85-97 (2006) 88 وروفيل من نبات الجتأستخالص الكل د.عصام كامل د.احمد جواد علي خالد خضير قسم الهندسة الكيمياوية قسم الهندسة الكيمياوية األحيائية قسم الهندسة الكيمياوية الجامعة التكنلوجية يكلية هندسة الخوارزم الجامعة التكنلوجية جامعة بغداد :الخالصة تم في هذا البحث دراسة عملية أستخالص الكلوروفيل من الجت المجفف والمطحون بطريقة التغلغل. تم أستخدام نظامين منن تولوين . تم دراسة تنثثير مدندل التندويرر تركينم المنذي -ماء ومنظومة هكسان-المذيبات لألستخالص وهي منظومة أيثانول المستخدمة . في كال المنظومتين تم التوصل الى أن تركينم المنذي هنو الدنصنر و نسبة حجم المذي الى ومن المادة الصلبة األكثر تثثيرا. characterization of delamination effect on free vibration of composite laminates plate using high order shear deformation theory al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 -26 (2012) color image denoising using stationary wavelet transform and adaptive wiener filter iman m.g. alwan department of computer science /college of education for women /university of baghdad email: ainms_66@yahoo.com (received december 2011; accepted january 2012) abstract the denoising of a natural image corrupted by gaussian noise is a problem in signal or image processing. much work has been done in the field of wavelet thresholding but most of it was focused on statistical modeling of wavelet coefficients and the optimal choice of thresholds. this paper describes a new method for the suppression of noise in image by fusing the stationary wavelet denoising technique with adaptive wiener filter. the wiener filter is applied to the reconstructed image for the approximation coefficients only, while the thresholding technique is applied to the details coefficients of the transform, then get the final denoised image is obtained by combining the two results. the proposed method was applied by using matlab r2010a with color images contaminated by white gaussian noise. compared with stationary wavelet and wiener filter algorithms, the experimental results show that the proposed method provides better subjective and objective quality, and obtain up to 3.5 db psnr improvement. keywords: stationary wavelet transform (swt), adaptive wiener filter, thresholding. 1. introduction images acquired through sensors [chargecoupled device (ccd)] cameras may be contaminated by noise sources. image processing technique also corrupts image with noise, leading to significant reduction in quality. traditionally, linear filters (mean, median, and wiener filter) are used for removing noise from images, but it blurs data [1]. it is well known that wavelet transform is a signal processing technique which can display the signals on in both time and frequency domain. wavelet transform is superior approach to other time-frequency analysis tools because its time scale width of the window can be stretched to match the original signal, especially in image processing studies. this makes it particularly useful for nonstationary signal analysis, such as noises and transients. for a discrete signal, a fast algorithm of discrete wavelet transform (dwt) is multiresolution analysis, which is a nonredundant decomposition [2]. one of the most popular method consists of thresholding the wavelet coefficients (using hard threshold or the soft threshold) as introduced by donoho [3]. elyasi and zarmehi [4] proposed several methods of noise removal from degraded images with gaussian noise by using adaptive wavelet threshold (bayes shrink, modified bayes shrink and normal shrink). jacob and martin [5] performed wiener filtering on the wavelet coefficients to denoise an image degraded by an additive white gaussian noise (awgn). jin et. al. [6] considered the adaptive wiener filtering of noisy images and image sequences. they began by using an adaptive weighted averaging (awa) approach to estimate the secondorder statistics required by the wiener filter and extended the awa concept to the wavelet domain and that gained 0.5 db over traditional wavelet wiener filter. the drawback of nonredundant transform is their noninvariance in time/space; i.e., the coefficients of a delayed signal are not a timeshifted version those of the original signal. the stationary wavelet transform (swt) was introduced in 1996 to make the wavelet decomposition time invariant [7]. this improves mailto:ainms_66@yahoo.com iman m.g. alwan al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 26 (2012) 19 the power of wavelet in signal de-noising. this paper exploits the benefits of stationary wavelet transform in suppressing noise at high frequencies and wiener filter to suppress noise in low frequency bands. the proposed algorithm is divided into two steps. after taking swt to the noisy image, soft thresholding method is applied to the details subbands; then a transformed image is generated from approximation subband only while the other subbands are made equal to zero, applying inverse swt to the generated 2-d array, then applying the adaptive wiener filter, to remove the residual noise in the low frequency band. after that the approximation band is returned by applying swt to the denoised signal, the resulted approximation subband is grouped with the thresholded subbands, applying inverse swt to obtain the denoised image. the proposed method is compared with the other two traditional denoising methods, namely swt and wiener filter, to validate the denoised characteristics of this method. 2. stationary wavelet method this section presents the basic principals of the swt method. in summary, the swt method can be described as follows. at each level, when the high-pass and low-pass filters are applied to the data, the two new sequences have the same length as the original sequences. to do this, the original data is not decimated. however, the filters at each level are modified by padding them out with zeros. supposing a function )(xf is projected at each step j on the subset jv )(.... 0123 vvvv  . this projection is defined by the scalar product kjc , of )(xf with the scaling function )(x which is dilated and translated.  )(),( ,, xxfc kjkj  ... (1) )2(2)(, kxx jj kj    ... (2) where )(x is the scaling function, which is a low-pass filter. kjc , is also called a discrete approximation at the resolution j2 . if )(x is the wavelet function, the wavelet coefficients are obtained by   )2(2),(, kxxf jj kj  ...(3) kj , is called the discrete detail signal at the resolution j2 . as the scaling function )(x has the following property:   n nxnh x )()() 2 ( 2 1  h (n) represents the scaling coefficients. kjc ,1 can be obtained by direct computation from kjc , .     n n njkj nxng x andcknhc )()() 2 ( 2 1 )2( ,,1  ...(4) g (n) represents the wavelet coefficients. the scalar products   )2(2),( )1()1( , kxxf jj kj  are computed with   n njkj ckng ,,1 )2( ...(5) equations (4) and (5) are the multiresolution algorithm of the traditional dwt. in this transform, a downsampling algorithm is used to perform the transformation. that is, one point out of two is kept during transformation. therefore, the whole length of the function will be reduced by half after the transformation. this process continues until the length of the function becomes one. however, for stationary or redundant transform, instead of downsampling, an upsampling procedure is carried out before performing filter convolution at each scale. the distance between samples is increased by a factor of two from scale to the next. kjc ,1 is obtained by    l lkjkj jclhc 2,,1 )( ...(6) and the discrete wavelet coefficients    l lkjkj jclg 2,,1 )( ...(7) the redundancy of this transform facilitates the identification of salient features in a signal, especially for recognizing the noises. this is the transform for one-dimensional signal. for a twodimensional image, we separate the variables x and y and have the following wavelets. iman m.g. alwan al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 26 (2012) 20 — vertical wavelet: )()(),(1 yxyx   — horizontal wavelet: )()(),(2 yxyx   — diagonal wavelet: )()(),(3 yxyx   thus, the detail signal is contained in three subimages [8].         x y j l l yxkjyxyxj llclhlgkk ),()()(),( 2, 1 1 ..(8)         x y j l l yxkjyxyxj llclglhkk ),()()(),( 2, 2 1 ...(9)         x y j l l yxkjyxyxj llclglgkk ),()()(),( 2, 3 1 ...(10) 3. implementation of the proposed algorithm this section, describes the method for computing the various parameters used to compute the threshold and the image denoising algorithm. the swt is used for the recovery of the corrupted image with adaptive wiener filter. wiener filter is a minimum mean square error filter. it has capabilities of handling both the degradation function as well as the noise. the wiener filter in the fourier domain is given by the expression: ),( ),( ),( ),( ),( ),( 2 * vug vus vus vuh vuh vuf f                  ... (11) where h (u, v) is the degraded function ),(* vuh is the complex conjugate of h(u,v) ),(),(),( *2 vuhvuhvuh  2 ),(),( vunvus  is the power spectrum of the noise. 2 ),(),( vufvus f  is the power spectral density (psd) of the undegraded image. g(u,v) is the fourier transform of the degraded image. when wiener filtering is performed on small blocks of an image at a time; the method is called local wiener filtering. in this method, the psd of the undegraded image is estimated for each block. this calculated psd is then used in the expression of the wiener filter. thus, the local statistics are also accounted for in the calculation of the wiener filtered image. images with many edges are handled much well by the local wiener filter than the global wiener filter. we used a window of size 3 x 3 in the calculation of the local [9] the threshold value ( nst ), which is adaptive to different subband characteristics, is calculated by normal shrink [4].    y n nst   2 ...(12) where scale parameter  is calculated once for each scale using )/log( jlk ...(13) where kl is the length of the subband at the thk scale, j is the total number of decompositions and ^ y is the standard deviation of the subband. noise variance 2^ n is estimated in equation (14), using the robust and accurate median estimator of the suddand . 6745.0 )(2^ i n ymedian  ...(14) iy each subband where 0.6745 is the experiential value [10]. we have actually applied wiener filter for the image obtained from (ll subband only while maintaining other subbands equal to zero) in the spatial domain by applying inverse stationary wavelet transform in order to remove the residual noise in the low frequency subband in addition for applying softthreshold for lh, hl, hh subbands, so it offered superior results in denoising. soft thresholding deletes the coefficients under the threshold, but scales the ones that are left. there are different ways of scaling. the general soft shrinkage rule is defined by:  ))(sgn()(  www ...(15) where  is the threshold and the plus sign indicates only the coefficients that are above the threshold are considered. the proposed algorithm is described in this section; it is applied for each (red, green, and blue) band separately. iman m.g. alwan al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 26 (2012) 21 it consists of the following steps: 1read the noisy color image (contaminated with white gaussian noise) 2for each (r, g, b) band apply swt (one level of decomposition) estimate the noise variance in the noisy image using equation (14) calculate the scale parameter  using equation (13). for each detail subband, compute the standard deviation and threshold nst using equation (12). apply soft threshold to the subbands lh1, hl1, hh1. 3reconstruct a new image from ll1 subband only while making other subbands equal to zero, by applying inverse stationary wavelet transform. 4apply an adaptive wiener filter to the reconstructed image in spatial domain. 5reapplying swt to the resultant image of step 4. 6extract the approximation subband from step 5 denoted by ll2, then grouping it with the thresholded subbands denoted by ( ^ lh , ^ hl , and ^ hh ) of step 2 as ll, lh, hl, and hh subbands. 7apply inverse stationary wavelet transform, to get the denoised image. figure (1) shows the schematic of this approach fig.1. a schematic of the proposed denoising algorithm. 4. experimental results the experimental evaluation is performed on color images of size 256 * 256 pixels at different white gaussian noise levels shown in figure (2). the objective quality of the reconstructed image is in terms of the psnr of the three color components ),,{, bgrxx  , which is defined as [9]: )( 255 log10 2 10 xmse psnr  ... (16) where mse (x) is the mean-square-error of the original color component and the estimated one.. the overall psnr is obtained as )()()( 255 log10 2 10 bmsegmsermse psnr   ... (17) the proposed method was implemented using matalab r2010a. the psnr results are shown in table (1). swt ll1 lh1 hl1 hh1 lh 1 hl 1 hh 1 apply soft threshold ll 1 iswt wiener filter swt ll2 lh2 hl2 hh2 iswt denoised image noisy image taking ll from step 2 while other parts equal to zero output of swt (2nx2n) for nxn input image ll2 ^ lh ^ hl ^ hh taking ll2 subband only iman m.g. alwan al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 26 (2012) 22 fig.2. test color images. table 1, psnr of various noisy color images and denoised ones for swt, wiener, and the proposed algorithm. test images noise variance noisy image psnr (db) swt psnr (db) wiener psnr (db) proposed method psnr (db) baboon 0.003 30.06 32.53 32.83 30.28 0.007 26.43 30.84 31.19 29.95 0.010 24.92 29.95 30.27 29.76 0.030 20.38 26.57 26.81 28.64 0.060 17.79 24.26 24.81 27.29 0.080 16.82 23.30 23.72 26.65 0.100 16.17 22.67 23.08 26.07 airplane 0.003 30.01 34.91 35.71 33.14 0.007 26.42 32.21 33.09 32.43 0.010 24.93 31.04 31.09 32.04 0.030 20.76 27.35 27.71 30.27 0.060 18.29 24.84 25.06 28.19 0.080 17.28 23.75 24.00 27.21 0.100 16.56 22.99 23.25 26.35 house 0.003 30.01 34.46 35.55 34.06 0.007 26.38 32.21 32.94 33.11 0.010 24.88 31.04 31.70 32.63 0.030 20.44 27.35 27.44 30.48 0.060 17.86 24.84 24.97 28.64 0.080 16.90 23.75 24.00 27.70 0.100 16.20 22.99 23.31 26.95 lena 0.003 30.04 35.55 36.25 34.87 0.007 26.48 32.72 32.72 34.04 0.010 24.97 31.44 31.44 33.49 0.030 20.54 27.24 27.24 31.04 0.060 17.96 24.72 24.72 28.81 0.080 16.99 23.69 23.69 27.71 0.100 16.25 22.92 22.92 26.96 pepper 0.003 30.14 35.50 36.44 34.82 0.007 26.57 32.63 32.63 33.67 0.010 25.05 31.26 31.26 33.07 iman m.g. alwan al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 26 (2012) 23 0.030 20.72 27.25 27.25 30.58 0.060 18.18 24.73 24.73 28.37 0.080 17.17 23.65 23.65 27.20 0.100 16.43 22.82 22.82 26.29 mona liza 0.003 30.33 33.23 33.91 30.14 0.007 26.68 30.90 31.91 29.36 0.010 25.21 29.90 30.84 28.48 0.030 20.81 26.45 26.89 27.46 0.060 18.26 24.11 24.32 25.99 0.080 17.26 23.22 23.31 25.25 0.100 16.50 22.38 22.60 24.55 watch 0.003 30.10 36.39 35.92 35.72 0.007 26.57 33.47 34.20 34.85 0.010 25.10 32.11 33.25 34.25 0.030 20.73 27.88 29.80 31.59 0.060 18.18 25.22 27.36 29.04 0.080 17.19 24.14 26.36 27.90 0.100 16.47 23.26 25.49 26.92 flower 0.003 30.24 35.67 35.33 34.59 0.007 26.66 33.01 33.60 33.69 0.010 25.17 31.79 32.65 33.19 0.030 20.68 27.57 29.18 30.64 0.060 18.11 24.91 26.77 28.39 0.080 17.12 23.89 25.90 27.33 0.100 16.40 23.07 25.11 26.47 from the results we can find that the psnr of the proposed method offers superior improvement over swt based method and wiener filter method at middle and high values of noise with smoothing edges of the image. at low values of noise the proposed method offers poorer response because the levels of noise are very low at low band frequencies so the effect of wiener filtering for the reconstructed images from ll subband of the swt step is not effective. at middle and high levels of noise, the ll subband of swt step is more attacked by noise values, so the effect of wiener filtering is more noticeable. figure (3) shows the results of each denoising method for three testing images (pepper, airplane, flower) for noise variance (0.1, 0.06. 0.08). also the results of the proposed algorithm, for gray scale images (pepper and house) were compared with the results of the proposed methods of [4] in term of snr (signal to noise ratio) which was adopted in this paper.                           yx yx yxxyxx yxx snr , 2 ^ , 2 ),(),( ),( 10log10 ...(18) where ),( yxx and ),( ^ yxx are the original image and denoised image. table (2) shows the comparison of the proposed method with results of [4] in which modified bayes shrink was proposed. from the comparison table we can notice that the results of the proposed method are slightly better than modified bs in [4]. iman m.g. alwan al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 26 (2012) 24 noisy image, variance=0.1 denoised (proposed method) denoised (wiener filter) denoised (swt) noisy image, variance=0.08 denoised (proposed method) denoised (wiener filter) denoised (swt) fig. 3. results of proposed, wiener filter, and swt denoised images. table 2, snr of the proposed method and modified bs for pepper and house grey images. test images noise variance noisy image snr proposed snr modified bs snr pepper 0.01 14.55 22.49 21.21 0.03 10.08 20.36 18.76 0.06 8.15 18.38 17.51 house 0.003 20.37 24.63 26.46 0.03 10.67 21.41 21.39 0.05 8.76 21.15 20.18 5. conclusion many methods of denoising algorithms based are on wiener filtering on the wavelet coefficients. in this paper a simple and efficient algorithm for adaptive noise reduction is proposed, it combines the adaptive wiener filter in spatial domain and thresholding method in the stationary wavelet transform domain. experimental results show that noisy image, variance=0.06 denoised (proposed method) denoised (wiener filter) denoised (swt) iman m.g. alwan al-khwarizmi engineering journal, vol. 8, no. 1,pp 18 26 (2012) 25 the noise reduction method exhibits better performance in both psnr and visual effect, for middle and high values of white gaussian noise variances, which make the algorithm robust for images attacked by middle and large values of noise. the average increase of psnr of the denoised image with respect to noisy one is approximately (8-9) db, while the improvement with respect to other methods is up to 3.5 db. notation jkc discrete approximation at the resolution j2 h(u,v) degraded function hh high high subband hl high low subband ll low low subband lh low high subband psnr peak signal to noise ratio ),( vus power spectrum of noise ),( vus f power spectral density snr signal to noise ratio nst normal shrink threshold geek letters β scale parameter )(x scaling function )(x wavelet function jk discrete detail signal at the resolution j2 n   standard deviation of noise y   standard deviation of the subband 2 n   noise variance  threshold value y soft thresholded coefficients 6. references [1] patil, a, and singhai, j., ―image denoising using curvelet transform: an approach for edge preservation‖, journal of scientific & industrial research, vol. 69, pp. 34-38., 2010. [2] mallat, s., ―a theory for multiresolution signal decomposition: the wavelet representation,‖ ieee trans. pattern anal. machine intell. vol. 11, pp. 674–693, 1989. [3] donoho, d.l., ―de-noising by softthresholding ―, ieee transactions on information theory, vol. 41, no.3, pp. 613627, 1995. [4] elyasi, i. and zermchi, s., ―elimination noise by adaptive wavelet threshold‖, world academy of science,eng. and tech., vol. 56, pp. 462-465, 2009. [5] jacob and martin, a., ―image denoising in the wavelet domain using wiener filtering‖ ece 533 project, university of wisconsin, fall 2004. [6] jin, f., fieguth, p., winger, l. and jernigan, e., ―adaptive wiener filtering of noisy images and image sequences‖ ieee, icip., vol.2, pp. 349-352, 2003. [7] pesquet, j.c., krim, h. and carfantan, h., ―time-invariant orthonormal wavelet representations,‖ ieee trans. signal processing, vol. 44, pp.1964–1970, 1996. [8] wang, x.h., istepanian, s.h., and song, y.h., ―microarray image enhancement by denoising using stationary wavelet transform‖, ieee trans. on nanobioscience, vol.2, no. 4, pp. 184-189, 2003. [9] gonzalez, r.c., woods, r.e., and eddins, s.l., ―digital image using matlab processing‖, prentice hall, second edition, 2007. [10] johnstone, i.m. and silverman, b.w., ―wavelet threshold estimators for data with correlated noise‖ journal of royal statistical soc., vol. b59, pp. 319-351, 1997. [11] moinuddin, a.a., khan, e. and ghanbari, m., ―an efficient wavelet based embedded color image coding technique using blocktree approach‖, ieee, icip, pp. 1889-1892, 2006. (2012) 26-18، صفحة1، العذد8مجلة الخىارزمي الهىذسية المجلذإيمان محمذ جعفر 26 إزالة الضىضاء مه الصىر الملىوة باستعمال تحىيلة المىيجة المستقرة ومرشح ويىر المتكيّف إيمان محمذ جعفر علىان جايعح تغداد / كهيح انتزتيح نهثُاخ/قسى عهىو انحاسثاخ ainms_66@yahoo.com:انثزيد االنكتزوَي الخالصة انعديد يٍ اندراساخ . هي يٍ انًشاكم في عًهياخ انًعانجح انصىريحgaussianإٌ عًهيح إسانح انضىضاء يٍ انصىر انًتأثزج تضىضاء يٍ َىع اعتًدخ عهى تطثيق تقُيح انعتثح عهى يعايالخ انًىيجح، إٌ يعظى هذِ اندراساخ ركشخ عهى انتشكيم اإلحصائي نًعايالخ انًىيجح وعهى االختيار األيثم ، حيث wienerيقدو هذا انثحث طزيقح جديدج إلسانح انضىضاء تىاسطح ديج تقُيح إسانح انضىضاء تاستعًال تحىيهح انًىيجح انًستقزج ويزشح . نقيًح انعتثح عهى انصىرج انًستزجعح يٍ يعايالخ انتقزية فقظ تيًُا يتى تطثيق تقُيح انعتثح عهى قيى يعايالخ انتفاصيم انتي تى انحصىل wienerيتى تطثيق يزشح عهى صىر يهىَح ويهىثح r2010aنقد تى تُفيذ انطزيقح انًقتزحح تاستعًال تزَايج ياتالب . عهيها تتطثيق تحىيهح انًىيجح انًستقزج ويٍ ثى ديج انُتيجتيٍ . 3.5dbأظهزخ انُتائج تحسيٍ واضح نهصىر وصم نحد . gaussianتضىضاء يٍ َىع default normal template dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 15 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.2, no.1,pp 15-34, (2006) a study of strengthening circular diaphragm by ring-shaped concentric ribs dr. somer m. nacy dr.hikmat al-rawi mohammed m. hasan university of baghdad university of al-anbar university of al-anbar (received 21 september 2005; accepted 4 may 2006) abstract: this paper deals with the determination of stresses and deflections of clamped circular diaphragm strengthened by one or two ring-shaped concentric ribs, under uniform static and dynamic pressures. the simulation has been achieved by using the well-known engineering software finite element package msc/nastran. as a design study, the effect of using a clamped ring, and the effect of using a ring-shaped rib on both surfaces of diaphragm instead of one, has been discussed in this work. to show the effectiveness of this study, results of this work have been compared with published data [1]. in the conclusion, the authors underline the validity of the considered design study, and the optimization of strengthened diaphragms. keywords : diaphragm, nastran, static, dynamic. 1.introduction the diaphragm is the subsystem that distributes lateral load to the perpendicular subsystems and that provides lateral support. diaphragms are treated as horizontal beams. the upper (or lower) surface, which is analogous to the web of a wide-flange beam, is assumed to carry the shear; the edge, which is analogous to the flange, is assumed to carry the flexural stress [2]. several researches have recently been published regarding the stress and deflection characteristics of diaphragms for application to pressure sensors [3,4], microvalves [5], microphones [6] and other acoustic devices. for these devices, the applied load is assumed to be constant over the diaphragm surface [7]. in this work, analytical investigation for a clamped circular diaphragm strengthened by one or two ring-shaped concentric ribs, with builtin stress and large deflections are presented. the advantages of the circular diaphragm consist of good technological, mechanical and measuring properties [1]. in general, analytical and exact variational solutions for diaphragm behavior are desirable because of their dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 16 , i.e. ease of use and the insight they provide to the designer. specific geometric effects can be ascertained from these solutions. however, these solutions are generally only applicable for small deflections. numerical techniques, such as finite element analysis, boundary element analysis, and finite difference analysis, can be more accurate in predicting stresses and deflections, especially for large deflections. unfortunately, these techniques generally require more effort to use and may not supply the same insight as analytical or exact variational solutions. the use of plate theory is appropriate for the analysis of diaphragms [7]; therefore, this work has been achieved by using the finite element software package msc/nastran with plate bending and shell elements. as a verification test, and to show the effectiveness of this work, a model similar to one used by a published research [1] has been built in msc/nastran in order to make a comparison between this published research, and the present work. 2.finite element analysis finite element procedures have become an important and frequently indispensable part of engineering analysis and design. finite element computer programs are now widely used in practically all branches of engineering [8]. applications range from deformation and stress analysis of automotive, aircraft, building, and bridge structures to field analysis of heat flux, fluid flow, magnetic flux, seepage, and other flow problems. with the advances in computer technology and cad systems, complex problems can be modeled with relative ease. several alternative configurations can be tried out on a computer before the first prototype is built [9]. the development of finite element methods for the solution of practical engineering problems began with the advent of the digital computer. that is, the essence of a finite element solution of an engineering problem is that a set of governing algebraic equations is established and solved, and it was only through the use of the digital computer that this process could be rendered effective and given general applicability. these two propertieseffectiveness and general applicability in engineering analysis are inherent in the theory used and have been developed to a high degree for practical computations, so that finite element methods have found wide appeal in engineering practice. 3.case studies except the cases used to compare the published data, all of the models used are of the same radius (r = 50mm) and same material (pure, annealed copper) with the following properties [11] : modulus of elasticity, e = 119 gpa. modulus of rigidity, g = 44.7 gpa. poisson’s ratio, ν = 0.326 yield stress, σy = 70 mpa. mass density, ρ = 8.96 g/cm3. fig.(1) shows the schematic view of the base model used (flat diaphragm) with thickness (h = 0.1mm) and radius (r = 50mm). the maximum allowable static pressure that the flat diaphragm can sustain without exceeding the elastic limit may be calculated as [12]: so, as a safety factor (s.f. = 1.5), the uniform pressure used is (p = 250pa) for the static loading, and yy σ 3r 4h p 2 2  pa.373.3p y dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 17 this value has been proposed as a peak pressure for the dynamic analysis to work within elastic limit. in order to strength the diaphragm, one or two ring-shaped concentric ribs are used. for this case, two new studies are presented in this work; they are : 1. study the effect of using a ring-shaped rib on both of the upper and lower diaphragm surfaces instead of one surface. 2. study the effect of using clamped ring (built-in with the clamped edges of the diaphragm). to do so, a ring-shaped rib (of the same material as is the diaphragm) with thickness (h = 0.1mm) and radial width (br = 2mm) is used at (25) radial positions, from r = 1mm (bossed material) to r = 49mm (clamped ring) as shown in figures (2-9). the effectiveness of these studies is clearly appeared by making a comparison with the published research [1]. fig.(10) shows the schematic view of the model, which had been used in this published research [1]; where : r = 75mm, h = 4mm, h = 6mm, br = 4mm, r1 = 20mm, r2 = 60mm and the pressure used was (p = 3kpa). the properties of this model were : modulus of elasticity, e = 17.87 mpa., poisson’s ratio, ν = 0.48 to achieve the comparison, similar model has been built in msc/nastran package; and another models with the same properties but with different choices for the dimensions and positions of stiffeners, are used to prove the effectiveness of the design study that has been achieved in this work. for the dynamic analysis, two types of transient loading are used; they are : 1. continuous absolute sine load, at frequency (f = 40hz). 2. absolute sine-pulse load, at the first natural frequency of every case. the dynamic pressure function of these two types of transient loading is :   ftπ250p sin where (f, t) represent the frequency (hz), and time (sec.) respectively; and the transient pressure (p) is measured in (pa). for all the cases used at the dynamic analysis part, damping does not be considered (zero damping). every model used in the finite elements package msc/nastran is divided into triangular and quadrilateral plate bending and shell elements. all of these elements are subjected to uniform pressure and the edges are completely fixed. 4.static analysis the aim of this analysis is to investigate the stresses and deflections of clamped circular diaphragm strengthened by one or more ringshaped ribs. the two studies explained previously are presented here and compared with the published data.  effect of radial position of the ring to show the effect of using ring-shaped ribs on the two surfaces of the diaphragm instead of one surface and the effective use of clamped ring, fifty models are used here at twenty five radial positions of the stiffener. fig.(11) and fig.(12) show the variation in maximum von-mises stresses and maximum deflections dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 18 respectively, with the ring position (r) for these cases. thickness of the diaphragm used is (h= 0.1mm.) and dimensions of the rings are (h= 0.1mm. , br = 2mm.).  optimum position : to show the optimum ring position, which gives minimum von-mises stress and maximum deflection, fig.(13) is drawn; were, (s1) represents the maximum von-mises stresses of stiffened diaphragm (ring on one surface only) divided by the maximum von-mises stress of flat diaphragm, (s2) represents the maximum von-mises stresses of stiffened diaphragm (ring on two surfaces) divided by the maximum von-mises stress of flat diaphragm, (s) represents the maximum von-mises stress of stiffened diaphragm (clamped ring) divided by the maximum vonmises stress of flat diaphragm, and (d) represents the maximum deflections of stiffened diaphragm (ring on one or two surfaces) divided by the maximum deflection of flat diaphragm. from these non-dimensional curves, the optimum position appears at (r = 35mm.) for using a ring on one or two surfaces.  optimum case of using two rings : mohammed m. hasan [14] found that the best choice of using two ring-shaped concentric ribs is the use of clamped ring with minimum thickness (h) and a certain radial width (br) and another ring at the optimum position with high thickness and a certain radial width (this would appear clearly from the results of comparison with the published data). so, three cases of using two rings are presented here :  case (1) : clamped ring on one or two surfaces (h= 0.1mm. , br = 10mm.), and another (at the optimum position) on two surfaces (h= 0.5mm. , br = 2mm.).  case (2) : clamped ring on one or two surfaces (h= 0.1mm. , br = 10mm.), and another (at the optimum position) on two surfaces (h= 0.4mm. , br = 10mm.).  case (3) : clamped ring on one or two surfaces (h= 0.1mm. , br = 10mm.) and another (at the optimum position) on two surfaces (h= 0.5mm. , br = 10mm.). the results of these cases with the percentage reduction in maximum vonmises stress are recorded in table (1).  comparison with a published research : as explained previously, a model similar to that of the published research [1] is built in msc/nastran program under the same conditions. the author of this published research did not mention anything about his choice to the dimensions and positions of the two rings he used; the only thing he had explained is that the diaphragm was strengthened by these two ring-shaped concentric ribs. as shown in fig.(10), the two rings used in [1] were of the same dimensions (h= 6mm., br = 4mm.) at radial positions (r1 = 20mm., r2 = 60mm.). so, eleven different cases are used here to choose the optimum positions and dimensions of the stiffeners, and to compare the published data. these cases are :  case (1) : one ring (clamped ring) on one or two surfaces (h= 6mm. , br = 4mm.). dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 19  case (2) : one ring (clamped ring) on one or two surfaces (h= 0.6mm. , br = 4mm.).  case (3) : one ring (clamped ring) on one or two surfaces (h= 0.6mm. , br = 10mm.).  case (4) : one ring (at the optimum position) on one or two surfaces (h= 6mm. , br = 4mm.).  case (5) : one ring (at the optimum position) on one or two surfaces (h= 10.5mm. , br = 4mm.).  case (6) : one ring (at the position which gives minimum stress) on one surface ( h= 6mm., br = 4mm.).  case (7) : one ring (at the position which gives minimum stress) on two surfaces ( h= 6mm., br = 4mm.).  case (8) : two rings [ both case (1) and case (4) ].  case (9) : two rings [ both case (1) and case (6) ].  case (10) : two rings [ both case (1) and case (7) ].  case (11) { the optimum choice } : two rings [ both case (3) and case (5) ]. the results of maximum vonmises stresses, maximum deflections and the percentage reduction in maximum von-mises stress of the above cases are shown in table (2). 5.dynamic analysis this part presents the analysis of stresses and deflections of clamped circular diaphragm subjected to dynamic pressure. all of the models used here are of the same dimensions and properties of those used in static part, and subjected to uniform dynamic pressure with two types of transient loading as discussed previously. fig.(14) shows the continuous positive sine function (f = 40 hz., pmax.= 250 pa), which is used for all models, and fig.(15) shows the pulse function with ( f = 72.3hz., pmax.= 250 pa), which is used for the flat diaphragm of the base model.  effect of radial position of the ring : to show the effect of using ring-shaped ribs on the two surfaces of the diaphragm instead of one surface, and the effective use of clamped ring, one hundred cases are used here at twenty five radial positions of the stiffener. fig.(16) and fig.(17) show the variation in maximum von-mises stresses and maximum deflections respectively, with the radial position of the ring (r), for continuous loading (f = 40 hz., pmax. = 250 pa). on the other hand, fig.(18) and fig.(19) show the variation in maximum von-mises stresses and maximum deflections respectively, with the radial position of the ring (r), for sine-pulse loading [f = fn (mode 1), pmax. = 250 pa]. thickness of the diaphragm used is (h= 0.1mm.) and dimensions of the rings are (h= 0.1mm. , br = 2mm.).  optimum position : to show the optimum ring position (which gives minimum von-mises stress and maximum deflection), fig.(20) and fig.(21) are drawn for continuous and pulse loading respectively; were, (s1) represents the maximum von-mises stresses of stiffened diaphragm (ring on one surface only) divided by the maximum von-mises stress of flat diaphragm, (s2) represents the maximum von-mises stresses of stiffened diaphragm (ring on two surfaces) divided by the maximum von-mises stress of flat diaphragm, (s) represents the maximum von-mises stress of stiffened diaphragm (clamped ring) divided by the maximum vonmises stress of flat diaphragm, and (d) dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 20 represents the maximum deflections of stiffened diaphragm (ring on one or two surfaces) divided by the maximum deflection of flat diaphragm. from these non-dimensional curves, the optimum position appears at (r = 35mm.) for both continuous and sine-pulse loading (ring on one or two surfaces). 6.conclusions : clamped circular diaphragms may be strengthened by one or more ring-shaped rib in order to reduce the stresses, when a static or dynamic pressure is applied. however, the proper choice to the dimensions and positions of stiffeners may give optimum results; otherwise, random use of these stiffeners may give opposite results. to get minimum stresses and maximum deflections, a ring-shaped rib with a certain dimensions may be used on one or two of the diaphragm surfaces, at a radial position equal to (70%) of diaphragm radius. on the other hand, a ring-shaped rib can be divided into two equal layers to be used on both of the two diaphragm surfaces instead of one, to get better results for a certain choices. the optimum choice for using two ring-shaped concentric ribs is that of using a clamped ring with the favorite thickness and a certain radial width, and another ring with certain dimensions at the optimum position. dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 21 h r p b p h h r r h b h /2 h /2 p fig.(1) the schematic view of the base model (flat diaphragm). fig.(2) the schematic view of the bossed diaphragm (one surface). fig.(3) the schematic view of the bossed diaphragm (two surfaces). dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 22 br p h r h h r h /2 h /2 br p r br p h h r r h r br h /2 h /2 p fig.(4) the schematic view of the stiffened diaphragm (one ring on one surface). fig.(5) the schematic view of the stiffened diaphragm (one ring on two surfaces). fig.(6) the schematic view of the stiffened diaphragm (clamped ring on one surface). fig.(7) the schematic view of the stiffened diaphragm (clamped ring on two surfaces). dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 23 h h r br br p r1 br p h h r br r2 h r br p h /2 h /2 br fig.(8) the schematic view of the stiffened diaphragm (two rings on one surface). fig.(9) the schematic view of the stiffened diaphragm (two rings on two surfaces). fig.(10) the schematic view of the model, which had been used in the published research [1]. dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 24 35 36 37 38 39 40 41 42 0 5 10 15 20 25 30 35 40 45 50 position of ring, r [mm] m a x .v o n -m is e s tr e ss [ m p a ] 1.8 1.85 1.9 1.95 2 2.05 2.1 2.15 2.2 2.25 0 5 10 15 20 25 30 35 40 45 50 position of ring, r [mm] m a x . d e fl e c ti o n [ m m ] fig.(11) effect of radial position of the ring on the maximum von-mises stress. fig.(12) effect of radial position of the ring on the maximum deflection. dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 25 0.85 0.9 0.95 1 1.05 1.1 0 5 10 15 20 25 30 35 40 45 50 position of ring, r [mm] n o n -d im e n si o n a l unity p re s s u re [ p a ] fig.(13) non-dimensional representation of stresses and deflections. time [sec.] fig.(14) continuous sine-function used for all models (f = 40 hz., pmax = 250 pa). dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 26 45 49 53 57 61 65 0 5 10 15 20 25 30 35 40 45 50 position of ring, r [mm] m a x .v o n -m is e s tr e ss [ m p a ] p re s s u re [ p a ] time [sec.] fig.(15) sin-pulse function used for flat diaphragm (f = 72.3 hz., pmax = 250 pa). fig.(16) effect of radial position of the ring on the maximum von-mises stress (continuous loading). dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 27 1.5 2 2.5 3 3.5 4 0 5 10 15 20 25 30 35 40 45 50 position of ring, r [mm] m a x . d e fl e c ti o n [ m m ] flat stiffened (one and two surfases) 45 50 55 60 65 70 75 80 0 5 10 15 20 25 30 35 40 45 50 position of ring, r [mm] m a x .v o n -m is e s tr e ss [ m p a ] fig.(17) effect of radial position of the ring on the maximum deflection (continuous loading). fig.(18) effect of radial position of the ring on the maximum von-mises stress (sine-pulse loading). dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 28 2.5 2.7 2.9 3.1 3.3 3.5 3.7 3.9 4.1 4.3 0 5 10 15 20 25 30 35 40 45 50 position of ring, r [mm] m a x . d e fl e c ti o n [ m m ] 0.85 0.9 0.95 1 1.05 1.1 1.15 1.2 0 5 10 15 20 25 30 35 40 45 50 position of ring [mm] n o n -d im e n si o n a l unity fig.(19) effect of radial position of the ring on the maximum deflection (sine-pulse loading). fig.(20) non-dimensional representation of stresses and deflections (continuous loading). dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 29 0.8 0.85 0.9 0.95 1 1.05 1.1 1.15 1.2 1.25 1.3 0 5 10 15 20 25 30 35 40 45 50 position of ring [mm] n o n -d im e n si o n a l unity fig.(21) non-dimensional representation of stresses and deflections (sine-pulse loading). table (1) stiffened diaphragm (two rings). cases max. von-mises stress [mpa] max. deflection [mm.] percentage reduction in max. von-mises stress flat 38.9 2.206 ---- case (1) 17.183 0.734 55.83 % case (2) 12.83 0.442 67.02 % case (3) 12.65 0.401 67.5 % dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 30 table (2) comparison between present work and the published [1]. cases max. von-mises stress [kpa] max. deflection [mm.] percentage reduction in max. von-mises stress flat 669.6 12.186 ---- ref.[1] 604.5 8.5 9.72 % case (1) 595.7 9.977 11.04 % case (2) 566 11.417 15.47 % case (3) 542.3 10.619 19 % case (4) 623.2 10.823 6.93 % case (5) 538.87 9.274 19.52 % case (6) 606.28 10.28 9.46 % case (7) 605.14 9.773 9.63 % case (8) 551.77 8.882 17.6 % case (9) 538.48 8.51 19.6 % case (10) 534.4 8.06 20.2 % case (11) 462.2 8.4 31 % dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 31 nomenclature symbol description unit br redial width of the ring m. e modulus of elasticity n/m2(pa) f frequency hz. g modulus of rigidity n/m2(pa) h diaphragm thickness m. h ring thickness m. p pressure n/m2(pa) py yield pressure n/m2(pa) r redial position of the stiffener m. r diaphragm radius m. t time sec. ν poisson’s ratio -- ρ mass density kg/m3 σy yield stress n/m2(pa) ω circular frequency rad./sec. dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 32 7.references [1] zlatan kulenović, analytical and experimental analysis of stresses and deflections of strengthened diaphragm, international design conference – design 2000, dubrovnik, may 23 – 26, 2000. [online] available http://www.io.tudelft.nl/research/ica/ind ex_publication.html [2] procedures for diaphragms. [online] available http://www.oshpd.cahwnet.gov/fdd/abo ut_us [3] r. steinmann, h. friemann, c. prescher, and r. schellin, sensors and actuators a, 48, pp. 3746,1995. [online] available http://www.el.utwente.nl/tt/publications [4] d. maier-schneider, j. maibach, and e. obermeier, journal of microelectromechanical systems, 4(4), pp. 238-241,1995. [online] available http://touch.caltech.edu/publications/sh uyun/mems95 [5] e.h. yang, s.w. han and s.s. yang, fabrication and testing of a pair of passive bivalvular microvalves composed of p + silicon diaphragms, sensors and actuators a 57, pp.(75-78), 1996. [online] available http://www.elsevier.nl/locate/sna [6] rahul saini, sunil bhardwaj, toshikazu nishida and mark sheplak, scaling relations for piezoresistive microphones, proceedings of imece, international mechanical engineering congress and exposition, november 5-10, 2000, orlando, florida. [online] available http://www.me.bringhamton.edu/miles [7] w.p. eaton, fernando bitsie, j.h. smith, and david w. plummer, a new analytical solution for diaphragm deflection and its application to a surfacemicromachined pressure sensor, technical proceedings of the international conference on molding and simulation of microsystems,1999. [online] available http://www.comppub.com/publication/m sm/99/pdf [8] klaus-jürgen bathe, finite element procedures, prentice-hall international, inc., 1996. [9] tirupathi r. chandrupatla and ashok d. belegundu, introduction to finite elements in engineering, prentice-hall of india, private limited, new delhi, 1996. [10] copper. [online] available http://www.hyperphysics.phyastr.gsu.edu [11] mechanical properties of materials, spring 2002. [online] available http://web.mit.edu/3.22/www/ps8.pdf [12] joseph edward shigley, mechanical engineering design, first metric edition, mcgraw-hill book company, 1986. http://www.io.tudelft.nl/research/ica/index_publication.html http://www.io.tudelft.nl/research/ica/index_publication.html http://www.oshpd.cahwnet.gov/fdd/about_us http://www.oshpd.cahwnet.gov/fdd/about_us http://www.el.utwente.nl/tt/publications http://touch.caltech.edu/publications/shuyun/mems95 http://touch.caltech.edu/publications/shuyun/mems95 http://www.me.bringhamton.edu/miles http://www.comppub.com/publication/msm/99/pdf http://www.comppub.com/publication/msm/99/pdf http://www.hyperphysics.phy-astr.gsu.edu/ http://www.hyperphysics.phy-astr.gsu.edu/ http://web.mit.edu/3.22/www/ps8.pdf dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 33 [13] e.j. hearn, mechanics of materials, second edition, pergman press ltd., 1985. [14] s.p. timoshinko and k.s. woinowsky, theory of plates and shells, second edition, tokyo, mcgraw-hill kogakusha ltd, 1959. [15] mohammed m. hasan, theoretical and experimental investigation of stresses and deflections of stiffened diaphragm subjected to dynamic pressure, m.sc. thesis, university of alanbar, college of engineering, department of mechanical engineering, 2002. dr. somer m. nacy /al-khwarizmi engineering journal, vol.2, no. 1,pp 15-34 (2006) 34 محمد م.حسن د.حكمت الراوي د.سومر متي ناسي قسم هندسة عمليات التصنيع كلية هندسة الخوارزمي جامعة االنبار جامعة االنبار جامعة بغداد :الخالصة ركزيتين تناول هذا البحث دراسة االجهادات و االنحرافات في األغشية الدائرية والمقواة بحلقة أو حلقتين م محددة من ديناميكي منتظم . تمت عملية النمذجة باستخدام طريقة العناصر ال تحت تأثير ضغط استاتيكي أو . nastranخالل برامجية تأثير تثبيت إلجراء دراسة تصميمية جديدة تم األخذ بنظر االعتبار تأثير حلقة التقوية المثبتة في الجوانب و ( .1در )لدراسة تمت المقارنة مع نتائج المصحلقات التقوية على سطحي الغشاء . لبيان فعالية نتائج هذه ا من نتائج هذه الدراسة يمكن استخالص صالحية التصميم االمثل لألغشية المقواة . حسن اياد وعلي حسين al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 8, no. 3, pp 24 39 (2012) empirical equations for analysis of two-way reinforced concrete slabs hassan ayad fadhil ali hussein ali al-ahmed* department of civil engineering/ college of engineering/ university of baghdad *email: ali_hussein_alahmed@yahoo.co.uk (received 9 june 2011; accepted 7 august 2012) abstract there are many different methods for analysis of two-way reinforced concrete slabs. the most efficient methods depend on using certain factors given in different codes of reinforced concrete design. the other ways of analysis of two-way slabs are the direct design method and the equivalent frame method. but these methods usually need a long time for analysis of the slabs. in this paper, a new simple method has been developed to analyze the two-way slabs by using simple empirical formulae, and the results of final analysis of some examples have been compared with other different methods given in different codes of practice. the comparison proof that this simple proposed method gives good results and it can be used in analysis of two-way slabs instead of other methods. keywords: analysis, two-way, reinforced concrete slabs, empirical equations, inflection lines. 1. introduction there are many methods to estimate the values of the bending moments occur in reinforced concrete slabs, and perhaps the most common methods which depend on coefficients taken from special tables available in codes such as the method of bs code cp110 and the method of aci code 63. these methods are approximate but practical and were formed in such a way that the moments are conservative because these methods neglected many important factors to obtain positive and negative bending moments by simple and fast way without complexity. the high accuracy in design calculations of structures is undesirable because there is no capability of estimating many factors affecting on design results such as live loads, material properties and methods of analysis and many other factors. 2. analysis of two way slab system the coefficients used in different codes depend on the aspect ratio of reinforced concrete slabs, the boundary conditions at their edges (method of restrained) and the continuity or discontinuity of the edges. and to find negative and positive bending moments, these coefficients are multiplied by the load per unit area by the square of the span. so it is important for the designer to use tables to find these coefficients. the most common manual calculation methods for calculating bending moments in reinforced concrete slabs are: 1. method two in aci 63 code (1): this method is the most common method used in design because of the simplicity in spite of that this method gives high conservative results which leads to increase in the quantity of steel reinforcement. 2. method three in aci 63 code (1): this method is recommended to use by the latest aci codes because it is more accurate than method two but it is more complicated. 3. method one in aci 63 code (1): this method is seldom used in spite of it is more accurate than the above mentioned two methods because it needs more effort calculations. mailto:ali_hussein_alahmed@yahoo.co.uk hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 25 4. method of bs cp110 (3 and 6). 5. aci direct design method (2, 4 and 5): this method is limited so it cannot be used in many cases. 6. equivalent frame method: this method in spite of it is accuracy and adequacy but it needs much effort and time for calculations. 3. description of the proposed method the proposed method in this paper depends on evaluating the coefficient (c) from simple empirical equation. the numbers 0.26 & 0.67 mentioned below were predicted from curve fitting to suit the other methods given by the acicode and cp110. this equation is expressed as: 26.0 l l 67.0c 1 −= … (1) where: l: is the distance between inflection lines in direction of bending moment required. l1: is the distance between inflection lines in direction opposite to the direction of bending moment required. to obtain positive and negative bending moments, the equation given below has been developed 2swbcm ×××= (as method 1 acicode 63) … (2) where: b: is a coefficient extracted from aci code (1) or bs cp110 (3 and 6) which is dedicated to find flexural bending in beams or one-way slabs as shown in fig. (1). w: is the total applied load (dead plus live) per unit area. s: is the clear span in the direction of the required bending moment. the identification of inflection lines between the positive and negative bending moments usually depends on approximate methods. it was found that the location of these inflection lines depends mainly on dimensions of spans of the neighboring panels. also, in case of continuous panels from both sides, the ratio of l l or ( 1 1 l l ) is 0.76. while, in the case of panel continuous from one side and discontinuous from opposite side, the ratio of l l or ( 1 1 l l ) is 0.87. where: l: is the clear span in direction of required bending moment (same as s). l1: is the clear span in direction opposite to the required bending moment it is worth to mention that these values are accurate and acceptable if the ratio of the spans of the neighboring panels ranging between (2/3 3/2). otherwise (when the ratio is beyond this range) the identification of the inflection lines may be evaluated according to the theory of structures. fig. (2) shows the inflection lines in panels according to aci 63 code (1). note: the values shown in fig.(1) are not be applicable if the larger of two adjacent spans is greater than the shorter by 20%. 4. comparison of results with other methods a comparison study was done to check the adequacy of the proposed method as it compared with the results obtained using the aci code (1) and the bs standard methods (3). tables (1, 2, 3 and 4) illustrate flexural positive and negative bending moments as functions to the applied load (w) for the proposed panels shown in fig. (3, 4, 5 and 6) respectively. in these tables the symbols (m+)x, (m+)y, (m-)x and (m-)y are defined as below: (m+)x = maximum positive bending moment in short direction. (m-)x = maximum negative bending moment in short direction at continuous edges. (m+)y = maximum positive bending moment in long direction. (m-)y = maximum negative bending moment in long direction at continuous edges. hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 26 1 14 1 9 1 9 1 14 1 14 1 10 1 11 1 16 1 11 1 11 (a) two continuous spans. (b) more than two continuous spans. fig. 1. values of the coefficient (b) used in equation (2). beams beam l (d) panel continuous at three edges. l=0.87l 1l=0.76l1 l1 inflection lines (e) panel continuous at all edges. l1 1l=0.76l1 l l=0.76l inflection lines fig. 2. inflection lines in reinforced concrete panels according to aci 63 code. l1=l1 l=l (a) panel discontinuous at all edges. l1=l1 l l=0.87l inflection line (b) panel continuous at one edge. l (c) panel continuous at two edges. l1 l1=0.87l1 l=0.87l inflection lines l1=l1 l=l (a) panel discontinuous at all edges. hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 27 fig. 3. proposed panels of m=0.6 used for the comparison between the proposed method and other methods. table 1, comparison among different methods. panel moment bs method method (ii) aci 63 code method (iii), aci 63 code average of methods standard deviation proposed method dead loads live loads average i (m+)x 0.786 0.765 0.687 0.868 0.778 0.776 0.00865 0.793 (m-)x 1.050 1.011 1.153 1.153 1.153 1.071 0.05990 1.110 (m+)y 0.454 0.480 0.252 0.324 0.288 0.407 0.08505 0.365 (m-)y 0.609 0.635 0.396 0.396 0.396 0.547 0.10706 0.511 ii (m+)x 0.605 0.674 0.467 0.765 0.616 0.632 0.03027 0.825 (m-)x 0.799 0.894 1.102 1.102 1.102 0.932 0.12653 1.200 (m+)y 0.363 0.402 0.144 0.252 0.198 0.321 0.08842 0.234 (m-)y 0.480 0.531 0.216 0.216 0.216 0.409 0.13805 0.328 iii (m+)x 0.566 0.609 0.441 0.752 0.597 0.591 0.01812 0.694 (m-)x 0.747 0.816 1.050 1.050 1.050 0.871 0.12967 1.009 (m+)y 0.311 0.324 0.144 0.252 0.198 0.278 0.05658 0.320 (m-)y 0.415 0.428 0.360 0.360 0.360 0.401 0.02947 0.465 iv (m+)x 0.730 0.674 0.622 0.842 0.732 0.712 0.02688 0.662 (m-)x 0.955 0.894 1.037 1.037 1.037 0.962 0.05859 0.927 (m+)y 0.363 0.402 0.252 0.324 0.288 0.351 0.04731 0.450 (m-)y 0.480 0.531 0.648 0.648 0.648 0.553 0.07033 0.655 v (m+)x 1.080 0.881 0.946 0.998 0.972 0.978 0.08134 1.153 (m-)x (m+)y 0.557 0.570 0.432 0.396 0.414 0.514 0.07068 0.520 (m-)y 0.739 0.752 0.864 0.864 0.864 0.785 0.05611 0.727 vi (m+)x 0.873 0.881 0.726 0.881 0.804 0.853 0.03457 0.947 (m-)x 1.149 1.166 1.231 1.231 1.231 1.182 0.03534 1.326 (m+)y 0.557 0.570 0.216 0.288 0.252 0.460 0.14694 0.404 (m-)y x y 6 m 3.6 m m = spanlong spanshort =0.6 6 m 6 m 6 m 3.6 m 3.6 m 3.6 m panel i panel v panel ii panel iv panel iii panel vi hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 28 table 2, comparison among different methods. panel moment bs method method (ii) aci 63 code method (iii), aci 63 code average of methods standard deviation proposed method dead loads live loads average i (m+)x 0.896 0.891 0.779 0.965 0.872 0.886 0.01034 0.851 (m-)x 1.200 1.173 1.339 1.339 1.339 1.237 0.07273 1.192 (m+)y 0.560 0.592 0.348 0.432 0.390 0.514 0.08865 0.480 (m-)y 0.752 0.784 0.588 0.588 0.588 0.708 0.08585 0.672 ii (m+)x 0.704 0.779 0.539 0.843 0.691 0.725 0.03878 0.890 (m-)x 0.912 1.029 1.317 1.317 1.317 1.086 0.17018 1.295 (m+)y 0.448 0.496 0.192 0.348 0.270 0.405 0.09722 0.335 (m-)y 0.592 0.656 0.324 0.324 0.324 0.524 0.14382 0.469 iii (m+)x 0.656 0.688 0.501 0.827 0.664 0.669 0.01360 0.745 (m-)x 0.848 0.923 1.216 1.216 1.216 0.996 0.15878 1.084 (m+)y 0.384 0.400 0.228 0.384 0.306 0.363 0.04106 0.420 (m-)y 0.512 0.528 0.540 0.540 0.540 0.527 0.01147 0.611 iv (m+)x 0.816 0.779 0.683 0.917 0.800 0.798 0.01515 0.706 (m-)x 1.072 1.029 1.152 1.152 1.152 1.084 0.05097 0.989 (m+)y 0.448 0.496 0.348 0.432 0.390 0.445 0.04334 0.565 (m-)y 0.592 0.656 0.924 0.924 0.924 0.724 0.14382 0.822 v (m+)x 1.216 1.024 1.003 1.083 1.043 1.094 0.08638 1.229 (m-)x (m+)y 0.688 0.704 0.540 0.540 0.54 0.644 0.07383 0.652 (m-)y 0.912 0.928 1.200 1.200 1.200 1.013 0.13216 0.912 vi (m+)x 1.024 1.024 0.848 1.003 0.926 0.991 0.04620 1.023 (m-)x 1.344 1.355 1.477 1.477 1.477 1.392 0.06027 1.432 (m+)y 0.688 0.704 0.276 0.396 0.336 0.576 0.16983 0.579 (m-)y fig. 4. proposed panels of m=0.667 used for the comparison between the proposed method and other methods. m = spanlong spanshort =0.667 x y 6 m 6 m 6 m 6 m 4.0 m 4.0 m 4.0 m 4.0 m panel i panel v panel ii panel iv panel iii panel vi hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 29 table 3, comparison among different methods. panel moment bs method method (ii) aci 63 code method (iii), aci 63 code average of methods standard deviation proposed method dead loads live loads average i (m+)x 0.998 1.007 0.852 1.039 0.946 0.984 0.02689 0.904 (m-)x 1.332 1.330 1.504 1.504 1.504 1.389 0.08156 1.265 (m+)y 0.678 0.716 0.444 0.552 0.498 0.631 0.09508 0.595 (m-)y 0.910 0.949 0.804 0.804 0.804 0.888 0.06127 0.833 ii (m+)x 0.780 0.871 0.613 0.916 0.765 0.805 0.04684 0.951 (m-)x 1.037 1.155 1.529 1.529 1.529 1.240 0.20973 1.383 (m+)y 0.542 0.600 0.240 0.444 0.342 0.495 0.11052 0.435 (m-)y 0.716 0.794 0.468 0.468 0.468 0.659 0.13899 0.609 iii (m+)x 0.734 0.761 0.555 0.897 0.726 0.740 0.01497 0.791 (m-)x 0.959 1.020 1.368 1.368 1.368 1.116 0.18016 1.150 (m+)y 0.465 0.484 0.300 0.480 0.390 0.446 0.04058 0.521 (m-)y 0.620 0.639 0.732 0.732 0.732 0.664 0.04894 0.757 iv (m+)x 0.889 0.871 0.723 0.981 0.852 0.871 0.01511 0.744 (m-)x 1.177 1.155 1.226 1.226 1.226 1.186 0.02968 1.042 (m+)y 0.542 0.600 0.444 0.552 0.498 0.547 0.04177 0.681 (m-)y 0.716 0.794 1.212 1.212 1.212 0.907 0.21777 0.990 v (m+)x 1.332 1.162 1.033 1.129 1.081 1.192 0.10460 1.294 (m-)x (m+)y 0.832 0.852 0.684 0.684 0.684 0.789 0.07493 0.784 (m-)y 1.104 1.123 1.512 1.512 1.512 1.246 0.18802 1.097 vi (m+)x 1.140 1.162 0.949 1.097 1.023 1.108 0.06101 1.093 (m-)x 1.521 1.536 1.723 1.723 1.723 1.593 0.09189 1.530 (m+)y 0.832 0.852 0.396 0.540 0.468 0.717 0.17649 0.754 (m-)y fig. 5. proposed panels of m=0.733 used for the comparison between the proposed method and other methods. m = spanlong spanshort =0.733 x y 6 m 6 m 6 m 6 m 4.4 m 4.4 m 4.4 m 4.4 m panel i panel v panel ii panel iv panel iii panel vi hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 30 table 4, comparison among different methods. panel moment bs method method (ii) aci 63 code method (iii), aci 63 code average of methods standard deviation proposed method dead loads live loads average i (m+)x 1.083 1.106 0.899 1.106 1.003 1.064 0.04414 0.950 (m-)x 1.440 1.475 1.636 1.636 1.636 1.517 0.08535 1.331 (m+)y 0.806 0.852 0.576 0.720 0.648 0.769 0.08737 0.710 (m-)y 1.083 1.129 1.044 1.044 1.044 1.085 0.03474 0.994 ii (m+)x 0.864 0.945 0.668 0.968 0.818 0.876 0.05250 1.006 (m-)x 1.140 1.267 1.728 1.728 1.728 1.378 0.25263 1.463 (m+)y 0.645 0.714 0.360 0.612 0.486 0.615 0.09547 0.535 (m-)y 0.852 0.945 0.612 0.612 0.612 0.803 0.14029 0.750 iii (m+)x 0.783 0.829 0.599 0.945 0.772 0.795 0.02469 0.832 (m-)x 1.037 1.106 1.498 1.498 1.498 1.214 0.20302 1.210 (m+)y 0.553 0.576 0.396 0.612 0.504 0.544 0.03003 0.621 (m-)y 0.737 0.760 0.972 0.972 0.972 0.823 0.10578 0.903 iv (m+)x 0.956 0.945 0.737 1.014 0.876 0.926 0.03541 0.776 (m-)x 1.256 1.267 1.267 1.267 1.267 1.263 0.00519 1.087 (m+)y 0.645 0.714 0.540 0.684 0.612 0.657 0.04250 0.796 (m-)y 0.852 0.945 1.476 1.476 1.476 1.091 0.27487 1.157 v (m+)x 1.428 1.290 1.037 1.175 1.106 1.275 0.13190 1.350 (m-)x (m+)y 0.991 1.014 0.792 0.828 0.810 0.938 0.09123 0.916 (m-)y 1.313 1.336 1.836 1.836 1.836 1.495 0.24131 1.282 vi (m+)x 1.267 1.290 1.037 1.175 1.106 1.221 0.08186 1.156 (m-)x 1.693 1.705 1.981 1.981 1.981 1.793 0.13303 1.619 (m+)y 0.991 1.014 0.540 0.684 0.612 0.872 0.18432 0.928 (m-)y fig. 6. proposed panels of m=0.8 used for the comparison between the proposed method and other methods. m = spanlong spanshort =0.8 x y 6 m 6 m 6 m 6 m 4.8 m 4.8 m 4.8 m 4.8 m panel i panel v panel ii panel iv panel iii panel vi hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 31 figures (7, 8, 9, 10, 11 and 12) show the relation between the aspect ratio (m) and the bending moments as a function to (w) for panels (i, ii, iii, iv, v and vi) respectively. fig. 7. relationships between (m = short span/long span) and bending moments as functions to w for panel i. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method continuous edges discontinuous edge mx mx + my + my x y hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 32 fig. 8. relationships between (m = short span/long span) and bending moments as functions to w for panel ii. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method continuous edges discontinuous edge mx mx + my + my continuous edge mx x y hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 33 fig. 9. relationships between (m = short span/long span) and bending moments as functions to w for panel iii. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method continuous edges mx mx + my + my continuous edges mx my x y hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 34 fig. 10. relationships between (m = short span/long span) and bending moments as functions to w for panel iv. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method mx + my x 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method continuous edges mx my + my discontinuous edge y hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 35 fig. 11. relationships between (m = short span/long span) and bending moments as functions to w for panel v. my + x continuous edge my discontinuous edges 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0.6 0.7 0.8 m (m y ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method y mx + hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 36 fig. 12. relationships between (m = short span/long span) and bending moments as functions to w for panel vi. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m x + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0.6 0.7 0.8 m (m x ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y + ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 0.6 0.7 0.8 m (m y ) a s a re la tio n to w bs method ii aci-63 method iii aci-63 proposed method continuous edge mx mx + my + discontinuous edges x y hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 37 example: find the positive and negative flexural moments for panels i and ii shown in fig. (13): solution panel i flexural moments in short direction 472.026.0 87.04 76.0567.0c =− × × ×= w539.0w4 14 1472.0m 2 =×××=+ w755.0w4 10 1472.0m 2 =×××=− flexural moments in long direction 354.026.0 76.05 87.0467.0c =− × × ×= w552.0w5 16 1354.0m 2 =×××=+ w804.0w5 11 1354.0m 2 =×××=− 4 m 3 m 5 m panel i panel ii fig. 13. panel ii flexural moments in short direction 857.026.0 76.03 76.0567.0c =− × × ×= w482.0w3 16 1857.0m 2 =×××=+ w701.0w3 11 1857.0m 2 =×××=− flexural moments in long direction 142.026.0 76.05 76.0367.0c =− × × ×= w222.0w5 16 1142.0m 2 =×××=+ w323.0w5 11 1142.0m 2 =×××=− hassan ayad fadhil al-khwarizmi engineering journal, vol. 8, no.3, pp 2439 (2012) 38 5. discussion 1. in case of panel i (corner panel), the proposed method gives less value of (m+)x & (m-)x, (maximum difference is 14.10% & 18.64% respectively) as compared with other methods for large values of m. while (m+)y and (m-)y are in good agreement with the other methods. 2. in case of panel ii (discontinuous at one short edge), the proposed method gives more value of (m+)x as compared with the other methods with maximum difference of 36.36%. while (m-)x, (m+)y and (m-)y obtained by proposed method are in good agreement with the other methods. 3. in case of panel iv (discontinuous at one long edge), the proposed method gives less value of (m+)x & (m-)x (maximum difference is 18.83% & 14.21% respectively) as compared with other methods in all values of m. while (m+)y and (m-)y are in good agreement with other methods. 4. in case of panel vi (discontinuous at three edges), the proposed method gives more value of (m-)x for smaller value of m than the other methods by maximum difference of 17.79% , while it gives less value of (m-)x for larger value of m compared other methods with maximum difference of 18.27%. 6. recommendations the proposed formulae presented in this paper can be used for analyzing of reinforced concrete two-way slabs supporting on beams. these slabs are square or rectangular with aspect ratio not exceeding 2. the coefficient b used in equation 2 can be taken from the coefficient used in aci code for evaluating the values of flexural moment in beams or one-way slabs. if the difference between two adjacent spans exceeds by more than 20% from the shorter span, then the value of coefficient b can be estimated according to theory of structures as well as the inflection lines. 7. references [1] building code requirements for reinforced concrete (aci-63). detroit: american concrete institute, 1963. [2] building code requirements for reinforced concrete (aci 318-11). detroit: american concrete institute, 2011. [3] code of practice for the structural use of concrete, cp 110, part 1, nov. 1997. [4] wang c. k, salmon c. g. and pincheira j. a., "reinforced concrete design", 7th edition, john wiley and sons, iwc, 2007. [5] nilson a. h., darwin da., and dolan c. w., "design of concrete structures", 14th edition, mcgrawhill book co., 2010. [6] allen a. h., "reinforced concrete design to cp 110", cement and concrete association, london, 1974. )2012( 24 39 ، صفحة3دد، الع8 مجلة الخوارزمي الھندسیة المجلد حسن ایاد فاضل 39 معادالت وضعیة لتحلیل البالطات الخرسانیة المسلحة العاملة باتجاھین *أحمد-علي حسین علي ال فاضل حسن ایاد جامعة بغداد / كلیة الھندسة / قسم الھندسة المدنیة ali_hussein_alahmed@yahoo.co.uk :االلكتروني البرید* الخالصة ان اغلب ھذه الطرق تعتمد اما على استخدام ثوابت محددة . تتوفر عدة طرق مثبتة في المراجع والمدونات لتحلیل البالطات الخرسانیة العاملة باتجاھین او تعتم د طریق ھ . ف ي الم دونات الش ائعة االس تخدام مت وفرة وھناك جداول لھذه الثوابت. ابعاد البالطة وطریقة تثبیتھا عند الحافات ولحاالت مختلفة من نسبة .التحلیل على طریقھ التصمیم المباشر او طریقة الھیكل المكافئ و ھذه الطریقتین تحتاج على االغلب الى وقت طویل لتحلیل البالطات وللتاكد من صالحیة ھذه المعادالت تم اجراء دراسة . المعادالت للبالطات العاملة باتجاھین تم استنباط صیغ لمعادالت ریاضیة مبسطة والجل تبسیط حل جاھین وقد تم عاملة باتمقارنة للنتائج المستحصلة من ھذه المعادالت مع الطرق المعتمدة في المدونات الشائعة االستخدام والمتبعة حالیا في تحلیل البالطات ال ون الحاجھ الى الحصول على نتائج جیده من ھذه المقارنھ مما یفسح المجال لالستفادة من ھذه المعادالت في تحلیل البالطات باتجاھین بیسر وبوقت قصیر د .الرجوع الى الجداول الموجودة في المدونات mailto:ali_hussein_alahmed@yahoo.co.uk abstract al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) a new audio steganography system based on auto-key generator inas jawad kadhim department of electric power engineering techniques/college of electric & electronic techniques email: inascnn95@yahoo.com (received 16 january 2011; accepted 18 0ctober 2011) abstract stenography is the art of hiding the very presence of communication by embedding secret message into innocuous looking cover document, such as digital image, videos, sound files, and other computer files that contain perceptually irrelevant or redundant information as covers or carriers to hide secret messages. in this paper, a new least significant bit (lsb) nonsequential embedding technique in wave audio files is introduced. to support the immunity of proposed hiding system, and in order to recover some weak aspect inherent with the pure implementation of stego-systems, some auxiliary processes were suggested and investigated including the use of hidden text jumping process and stream ciphering algorithm. besides, the suggested system used self crypto-hiding pseudo random key generator. the auto-key generator has purposes to investigate the encryption and embedding processes .the hiding results shows no noise in the stego-wave file after embedding process, also no difference in size is found between the original wave audio file and stego-wave file. keywords: audio steganography, text hiding, (lsb) technique. 1. introduction steganography, from the greek, means covered, or secret writing, and is a long-practiced form of hiding information. although related to cryptography, they are not the same. steganography's intent is to hide the existence of the message, while cryptography scrambles a message so that it cannot be understood. steganography includes a vast array of techniques for hiding messages in a variety of media. among these methods are invisible inks, microdots, digital signatures, covert channels and spread-spectrum communications. today, thanks to modern technology, steganography is used on text, images, sound, signals, and more [1]. cryptography is the study of mathematical techniques related to aspects of information security such as confidentiality, data integrity, entity authentication, and data origin authentication [2]. this paper introduces a new steganography system based on lsb technique using non compressed wave audio file. the embedding text can be enciphered then embedded using the same bytes. of the wave file, as an encryption and hiding keys, of course the two used bytes are different from each others to increase the complexity of the hiding algorithm. the hiding results show no noise that can be heard in the stego-wave file after embedding process. the proposed steganography system was chosen because the wave files is common in used in all communication means like, internet, mobiles, computers etc. since the wave file has huge data, it is considered a good container of a big message. when random lsb technique is used, it will be hard to detect or broken. the proposed hiding algorithm can be considered a simple idea for encryption and hiding, but not the best efficient method for hiding. mailto:inascnn95@yahoo.com inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 28 2. steganography the word steganography comes from the greek steganos (covered or secret) and graphy (writing or drawing) and it means literally covered writing. cover is an input to the stego-system, in which the embedded will be hidden. the possible cover carriers are innocent looking carriers (images, audio, video, text, or some other digitally representative code) which will hold the hidden information. embedded is something to be hidden in the cover. a message is the information hidden and may be plaintext, ciphertext, images, or anything that can be embedded into a bit stream. embedding is the process of hiding the embedded message. stego is the output from the stego-system and is something that has the embedded message hidden in it. together the cover carrier and the embedded message create a stego-carrier. hiding information may require a stegokey which is additional secret information, such as a password, required for embedding the information. for example, when a secret message is hidden within a cover image, the resulting product is a stego-image. extracting is getting the embedded message out of the stego message again. new terminology with respect to attacks and breaking steganography schemes is similar to cryptographic terminology; however, there are some significant differences. just as a cryptanalyst applies cryptanalysis in an attempt to decode or crack encrypted messages, the steganalyst is one who applies steganalysis in an attempt to detect the existence of hidden information. with cryptography, comparison is made between portions of the plaintext (possibly none) and portions of the ciphertext. in steganography, comparisons may be made between the covermedia, the stego-media, and possible portions of the message. the end result in cryptography is the ciphertext, while the end result in steganography is the stego-media. the message in steganography may or may not be encrypted. if it is encrypted, then if the message is extracted, the cryptanalysis technique may be applied [3], [4]. the advantage of steganography is that it can be used to secretly transmit messages without the fact of the transmission being discovered. often, using encryption might identify the sender or receiver as somebody with something to hide. for example, that picture of your cat could conceal the plans for your company's latest technical innovation [5]. 3. steganography methods the substitution technique is one of the common and important methods of hiding information. this technique replaces data in the original file with a coded representation of the original message. the colors of "pixels", tiny elements of digital images are often represented by the value of a number contained in an eight-bit byte of data. for example, three increasingly redder shades of red might be represented as follows: “00001100” or decimal 12 might represent basic red in a particular 8-bit color palette. each of the following numbers would then represent a minor increase in the redness. “00001101” or decimal 13 “00001110” or decimal 14 the likelihood of a casual observer noticing the difference in the shades in the middle of a picture is very slight. the result is that steganographers are able to use the 2 least significant bits to encode messages and while the image does degrade slightly, it is not apparent to the naked eye [6]. 4. basic model of information hiding each steganographic technique consists of an embedding algorithm and a detection function. the embedding algorithm is used to hide secret message inside a cover (or carrier) document. the embedding process is usually protected by a keyword so that the only one who possesses the secret keyword can access the hidden message. the detector function is applied to the stegodocument and results the hidden secret message. a possible formula of the process may be represented as: cover media + embedded message + stegokey = stegomedia. figure (1) shows the general acceptable model of a steganography system. for secure covert communication, it is important that by injecting a secret message into a cover document, no detectable changes are introduced. the main goal is not to raise suspicion and avoid introducing statistically detectable modifications into the stego-document. the quantity of embedded data and the degree of host signal modification vary from one application to one other [8]. inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 29 m essag e 9 ( c o v er stego medium key embeddin g process embedded key extractin g process extracted key fig. 1. general steganography system (stego-system) [7]. 5. wave audio files the riff file format is a standard published as a joint design document by ibm and microsoft. the data in wave files can be of many different types [9]. wave or wav, short for waveform audio file format [10] (also, but rarely, named, audio for windows [11]) is a microsoft and ibm audio file format standard for storing an audio bitstream on pcs. it is an application of the riff bitstream format method for storing data in “chunks”, and thus is also close to the 8svx and the aiff format used on amiga and macintosh computers, respectively. it is the main format used on windows systems for raw and typically uncompressed audio. the usual bitstream encoding is the linear pulse code modulation (lpcm) format. though a wav file can hold compressed audio, the most common wav format contains uncompressed audio in the linear pulse code modulation (lpcm) format. the standard audio file format for cds is lpcmencoded, containing two channels of 44,100 samples per second, 16 bits per sample. data format codes are listed in the following [9]: 5.1. wave file format wave files have a master riff chunk which includes a wave identifier followed by subchunks. the data is stored in little-endian byte order (see table (1)). table 1, wave file format . 5.2. format chunk the format chunk specifies the format of the data. there are 3 variants of the format chunk for sampled data. these differ in the extensions to the basic formant chunk (see table (2)). table 2, format chunk. the standard format codes for waveform data are given below (see table (3)). the references above give many more format codes for compressed data, a good fraction of which are now obsolete. field length contents ckid 4 chunk id: "fmt " cksize 4 chunk size: 16 or 18 or 40 wformattag 2 format code nchannels 2 number of interleaved channels nsamplespersec 4 sampling rate (blocks per second) navgbytespersec 4 data rate nblockalign 2 data block size (bytes) wbitspersample 2 bits per sample cbsize 2 size of the extension (0 or 22) wvalidbitspersample 2 number of valid bits dwchannelmask 4 speaker position mask subformat 16 guid, including the data format code field length contents ckid 4 chunk id: "riff" cksize 4 chunk size: 4+n waveid 4 wave id: "wave" wave chunks n wave chunks containing format information and sampled data inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 30 table 3, the standard format codes for waveform data. this paper we focuses on pcm data. 5.3. pulse code modulation (pcm) format the first part of the format chunk is used to describe pcm data:  for pcm data, the format chunk in the header declares the number of bits/sample in each sample (wbitspersample). the original documentation (revision 1) specified that the number of bits per sample is to be rounded up to the next multiple of 8 bits. this rounded-up value is the container size. this information is redundant in that the container size (in bytes) for each sample can also be determined from the block size divided by the number of channels (nblockalign / nchannels).  this redundancy has been appropriated to define new formats. for instance, cool edit uses a format which declares a sample size of 24 bits together with a container size of 4 bytes (32 bits) determined from the block size and number of channels. with this combination, the data is actually stored as 32-bit ieee floats.  pcm data is two's-complement except for resolutions of 1-8 bits, which are represented as offset binary. 5.4. examples consider sampled data e.g voice.wav with the following parameters,  nc = 1 channels.  the total number of blocks is ns = 110033. each block consists of nc samples.  sampling rate f = 22050 (blocks per second).  each sample is m = 2 bytes long. as shown in table (4). table 4, example of wave file (voice.wav) format. wave files often have information chunks that precede or follow the sound data (data chunk). some programs assume that for pcm data, the file header is exactly 44 bytes long and that the rest of the file contains sound data. this is not a safe assumption. figure (2) shows voice.wav file in hexadecimal and character representation. format code preprocessor symbol data 0x0001 wave_format_pcm pcm 0x0003 wave_format_ieee_f loat ieee float 0x0006 wave_format_alaw 8-bit itu-t g.711 a-law 0x0007 wave_format_ mulaw 8-bit itu-t g.711 µ-law 0xfffe wave_format_ extensible determined by sub format field length contents ckid 4 chunk id: "riff" cksize 4 chunk size: 4+24+(8+m * nc*ns +(0 or 1))=220102 waveid 4 wave id: "wave" ckid 4 chunk id: "fmt " cksize 4 chunk size = 16 wformattag 2 wave_format_ pcm = 1 nchannels 2 nc = 1 nsamplespersec 4 f = 22050 navgbytespersec 4 f * m * nc = 44100 nblockalign 2 m * nc = 2 wbitspersample 2 rounds up to 8 * m = 16 ckid 4 chunk id: "data" cksize 4 chunk size: m * nc* ns = 220066 sampled data m * nc * ns nc*ns channel-interleaved m-byte samples pad 0 or 1 padding byte if m * nc * ns is odd inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 31 fig. 2. voice .wav file in hexadecimal and character representation. 6. audio stenography system using lsbtechnique the aim of this paper is to implement an algorithm for an information hiding technique using lsb in digital wave files. this section shows the hiding and extracting algorithms supported by encryption algorithm and then shows the proposed system implementation with an experimental example. the proposed systems in information hiding algorithm consist of two main algorithms. the first one interested in hiding text in wave cover file called hiding algorithm and the second one is specialized in extracting data from the stego wave file called the extracting algorithm. 6.1. hiding algorithm this algorithm consist of two stages, these stages contribute to each other to obtain a secure algorithm. the first one is the enciphering stage and the second is embedding stage. hiding algorithm is based on hoping style. the proposed algorithm details can be described in the following steps: 1. read cover-wave file. 2. enter plain-text characters. 3. skip (60) byte from beginning of the file. 4.calculate the plaintext size (n bytes≤1/(5*8)=1/40 of the size of container) (or length), n must be embedded in the container file in order to be known during the extracted process, n represented by (3) bytes (=24 bits) then embed the 1 st bit in the lsb of the hide-byte of the container, then jump (5) bytes to embed the 2 nd bit,…and so on until finish embedding all the 24 bits. 5. embedd data: this step includes two processes: a enciphering process: consider the current byte as a encryption key-byte. this byte add (xoring) to plaintext byte according to the following equation: cipher-byte = plain-byte xor key-byte. b embedding process: consider the current byte as a jump-key embed the 1st bit of cipherbyte in the next byte using lsb technique, then jump a random step according to the following equation: jump-step = ( jump-key mod mode-byte ) + shift-byte. repeating the process to embedding the 2nd bit of cipher-byte after jumping by jump-step until finishing all bits of the cipher-byte . repeating the process in (a) and (b) until finishing all plaintext . the hiding algorithm steps as shown in figure (3). inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 32 fig. 4. hiding algorithm flow chart . start read cover wave file input encipher plaintext skip 60 byte embedding n = plaintext length for i = 1 to n key-byte = encrypt-byte cipher-byte = plain-byte xor key-byte jump-key = hide-byte embed-byte = current byte embed-byte [lsb] = cipher-byte[j] jump-step=(jump-key mod mod-b)+shb output stego wave file end for j = 1 to 8 fig. 3. hiding algorithm . note: the keys encryption key-byte, hide byte, mode-byte and shift-byte are secret keys that can be send by other communication means except the same cover wave file. the flowchart of the hiding algorithm is shown in figure (4). input: reading stego-wave file process: entering plain-text skip first (60) byte from wave file let n=plain-text length (3 byte = 24 bits) embedding n in(3)bytes with(5)byte jump using hide-byte for i=1 to n key-byte = encryption key byte cipher-byte = plain-byte xor key-byte jump-key = hide-byte for j=1 to 8 embed-byte = current byte embed-byte [lsb] = cipher-byte[j] jump-step=( jump-key mod mode byte)+shift-bye endfor {j} endfor {i} output: stego wave file end inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 33 6.2. practical result in this subsection we will introduce a practical example of hiding algorithm. let's choose the plain text:" information hiding system for wave audio files", which is to be hide. in figure (5) the data of two files are shown. first is voice.wav represent the audio wave file before hiding, and the second is stego.wav which represent the voice.wav file after end of hiding process. fig. 5. the data of voice.wav (before embedding) and stego.wav (after embedding). the shaded and circled hexadecimals represent the change bytes after exchanging the lsb of the specified byte. 6.3. extracting algorithm this algorithm consists of two stages.the first one is the extracting stage and the second is deciphering the extracting ciphertext. extracting algorithm details can be described as follows: 1. read stego-wave file. 2. skip (60) byte from beginning of the file. 3. extracting the embedding plaintext length (n) from the lsb of specifying bytes with (5) bytes jump using encryption key-byte. 4. extracting data: this step includes two process: aextracting process: preparing the key-byte considering the current byte as a key-byte, then consider the hide-byte as a jump-key, then extracting the 1st bit of cipher-byte from the lsb of the current byte, after that, jumping in a random step according to the following equation: jump-step = ( jump-key mod mode-byte) + shift-byte. repeating the process until get all the bits of the cipher-byte . bdeciphering process: to obtain the plain-text by: plain-byte = cipher-byte xor key-byte. repeating the process in (a) and (b) until all the plain-text characters are extracted. the extracting algorithm steps can be shown in figure (6). fig. 6. the extracting algorithm. input: reading stego-wave file process: skip first (60) byte from stego wave file extracting plaintext length (n) from lsb of the specifying bytes for i=1 to n key-byte = encryption-byte jump-key = hide-byte for j=1 to 8 embed-byte = current byte cipher-byte [j] = embed byte[lsb] jump-step=(jump-key mod mod-by)+shift-byte endfor {j} plain-byte = cipher-byte xor key-byte endfor {i} output: plaintext end inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 34 the flowchart of the extracting algorithm is show in figure (7). fig.7. the extracting algorithm. 7. conclusions this paper use lsb data-hiding technique, depending on auto-key generator. it obvious the lsb-technique can be used when the cover file is uncompressed file but it can be used when the cover file is lossless compressed file, as done in .png image files. any random data added to stego file (not only in lsb) means that real noise in audio file can be heard and that's affects the extraction of the information. a random key generator is used for two purposes, first to encrypt the hidden message, and second to generate random jumping in the wave file to give more robustness to the steganography system. 8. references [1] sellars, d., “an introduction to steganography”, http://www.cs.uct.ac.za/courses/cs400w/ni s/papers99/dsellars/stego.ps.gz, 1999. [2] stinson, d. r., “cryptography: theory and practice” crc press, 1995. [3] rifat z. k. “statistical approach for steganalysis”, m.sc. thesis, applied sciences / university of technology, baghdad-iraq, 2003. [4] katzenbeisser, s. and fabien a. p. petitcolas, “information hiding techniques for steganograpghy and digital watermarking”, artech house, boston, london, 2000. [5] stalling,w., “network and internetwork security”, addison wesley professional computing series. addison-wesley, 1996. [6] al-hamami. m., “information hiding attack in image”, m. sc. thesis, iraqi commission for computer & informatics, informatics institute for postgraduate studies, baghdadiraq, 2002. [7] poluami d., debnath b., and tai-hoon k., “data hidin in audio signal : a review”, international journal of database theory and application, vol.2, no.2, june, 2009. [8] johnson, n. f., “steganography”, http://www.jjtc.com/stegdoc/, george mason university, 2003. [9] kabal, p., “audio file format specifications wave or riff wave sound file”, mcgill university,http://www.mmsp.ece.mcgill.ca/ audioformats/wave/wave.html, retrieved 2010. [10] ibm corporation and microsoft corporation (august 1991), "multimedia programming interface and data start readstego wave file skip 60 byte extracting n = plain-text length for i = 1 to n key-byte = encrypt-byte plain-byte = cipher-byte xor key-byte jump-key = hide-byte embed-byte = current byte cipher-byte[j]= embed-byte [lsb] jump-step=(jump-key mod mod-by)+sh-b output plaintext end for j = 1 to 8 http://www.cs.uct.ac.za/courses/cs400w/nis/papers99/dsellars/stego.ps.gz http://www.cs.uct.ac.za/courses/cs400w/nis/papers99/dsellars/stego.ps.gz http://www-mmsp.ece.mcgill.ca/documents/audioformats/wave/wave.html http://www-mmsp.ece.mcgill.ca/documents/audioformats/wave/wave.html http://www-mmsp.ece.mcgill.ca/documents/audioformats/wave/wave.html http://www.mmsp.ece.mcgill.ca/%20audioformats/wave/wave.html http://www.mmsp.ece.mcgill.ca/%20audioformats/wave/wave.html http://www.mmsp.ece.mcgill.ca/%20audioformats/wave/wave.html http://www.tactilemedia.com/info/mci_control_info.html http://www.tactilemedia.com/info/mci_control_info.html http://www.tactilemedia.com/info/mci_control_info.html inas jawad kadhim al-khwarizmi engineering journal, vol. 8, no. 1, pp 27 36 (2012) 35 specifications 1.0", http://www.tactilemedia.com/info/mci_co ntrol_info.html, retrieved 6-12-2009. [11] microsoft help and support, “information about the multimedia file types that windows media player supports”, microsoft corporation.12may 2008, http://support.microsoft.com/kb/316992. retrieved 29 may 2009. http://www.tactilemedia.com/info/mci_control_info.html http://www.tactilemedia.com/info/mci_control_info.html http://support.microsoft.com/kb/316992 http://support.microsoft.com/kb/316992 http://support.microsoft.com/kb/316992 http://support.microsoft.com/kb/316992 http://support.microsoft.com/kb/316992.%20retrieved%2029%20may%202009 http://support.microsoft.com/kb/316992.%20retrieved%2029%20may%202009 ((2012 27 36 ، صفحة1، العذد 8هجلة الخوارزهي الهنذسية الوجلذ ايناس جواد كاظن 36 راتينظام جذيذ لألخفاء بالصوت يعتوذ على هولذ هفتاح ايناس جواد كاظن كليت التقٌياث الكهشبائيت وااللكتشوًيت/ قسن هٌذست تقٌياث القذسة الكهشبائيت inascnn95@yahoo.com : البشيذ االلكتشوًي الخالصة لن االخفاء هى في اخفاء كل هاهى ههن باستخذام االتصاالث بىاسطت اغواس الشسالت السشيت في وثيقت غطاء ػاديت، كالصىس الشقويت، الوشئيت، هلفاث ع .الصىث وغيشها هي هلفاث الحاسىب راث الوؼلىهاث الوتكشسة تستخذم كاغطيت او حىاهل الخفاء الوؼلىهاث السشيت (. wav) باالػتواد ػلى هلفاث صىتيت هي ًىع (lbs) في هزا البحث، تن اقتشاح ًظام اخفاء غيش هتسلسل باستخذام تقٌيت االغواس بالثٌائي االقل اهويت ولضيادة دسجت االهٌيت لٌظام االخفاء الوقتشح، و للقضاء ػلى ًقاط الضؼف باستخذام تلك التقٌيت، تن اقتشاح وتحقيق بؼض الؼولياث الوساػذة وهٌها استخذام هزا الوىلذ . اخفاء باستخذام هىلذ ػشىائي راتي-ػوليت القفض بالٌص الوخفي باالضافت الى استخذام خىاسصهيت التشفيش االًسيابي واقتشاح استخذام ًظام تشفيش بؼذ ػوليت (stego)اظهشث الٌتائج اًه اليوكي اى تسوغ ضىضاء في هلفاث الصىث الوخفيه . الزاتي يؼول لتحقيق غشضيي هوا ػولياث التشفيش والتضويي . هي حيث الحجن(stego)التضويي، كزلك اليىجذ اختالف بيي هلف الصىث االصلي وهلف الصىث الوخفي mailto:inascnn95@yahoo.com������ mailto:inascnn95@yahoo.com������ عباس ومنى وعبير al-khwarizmi engineering journal, vol. 10, no. 2, p.p. removal water turbidity by crumb rubber media abbas h. sulaymon* abeer i. alwared *department of energy engineering/ **,*** department of environmental engineering *email **email: ***email: (received 9 december 2013; accepted 41 abstract the removal of water turbidity by using crumb rubber filter was investigated .the present study was conducted to evaluate the effect of variation of influent water turbidity (10, 25 and 50 n rate (25, 45 and 65 l/hr) and bed depth (30 and 60 cm) on the performance of mono crumb rubber filter in response to the effluent filtered water turbidity and head loss development, and compare it with that of co results revealed that 25 l/hr flow rate and 25 ntu influent turbidity were the best operating conditions. smaller media size and higher bed depth gave the best removal efficiency while higher media size lower head loss. the optimum results show that 92.7% removal efficiency results show that at constant operating conditions, pressure filter; about 42% reduction in pressure drop than sand filter and the conventional sand filter has a little enhancement in removal efficiency than crumb rubber filter, 96.8% for sand while for crumb rubber 92.7%. keywords: turbidity; filtration; crumb rubber med 1. introduction reuse of wastewater often requires, after the conventional secondary processing, advanced/tertiary treatment so as to meet stringent water quality objectives for reuse and to protect public health. among advanced treatment processes, gravity granular-media filtration has clearly emerged as one of the most efficient and simple processes for removing suspended and colloidal materials including pathogenic microorganisms [1]. granular media filtration of wastewater is a complex process as the effectiveness of the process is dependent on many interrelated variables and thus there is no generalized approach to the design of full-scale filters khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331 (2014) removal water turbidity by crumb rubber media * muna yousif abdul-ahad** abeer i. alwared*** *department of energy engineering/ college of engineering/ university of baghdad environmental engineering college of engineering/ university of baghdad email: inas_abbas@yahoo.com *email: myabdulahad@yahoo.com **email: abeerwared@yahoo.com december 2013; accepted 41 april 2014) the removal of water turbidity by using crumb rubber filter was investigated .the present study was conducted to evaluate the effect of variation of influent water turbidity (10, 25 and 50 ntu), media size (0.6and 1.14mm), filtration rate (25, 45 and 65 l/hr) and bed depth (30 and 60 cm) on the performance of mono crumb rubber filter in response to the effluent filtered water turbidity and head loss development, and compare it with that of conventional sand filter. that 25 l/hr flow rate and 25 ntu influent turbidity were the best operating conditions. smaller media size and higher bed depth gave the best removal efficiency while higher media size and small bed depth gave head loss. the optimum results show that 92.7% removal efficiency and 8.3 mm head loss. the comparison conditions, pressure drop for crumb rubber filter is lower than conventional sand about 42% reduction in pressure drop than sand filter and the conventional sand filter has a little enhancement in removal efficiency than crumb rubber filter, 96.8% for sand while for crumb rubber 92.7%. : turbidity; filtration; crumb rubber media; head loss. reuse of wastewater often requires, after the conventional secondary processing, advanced/tertiary treatment so as to meet stringent for reuse and to protect public health. among advanced treatment media filtration has clearly emerged as one of the most efficient and simple processes for removing suspended and colloidal materials including pathogenic granular media filtration of wastewater is a complex process as the effectiveness of the process is dependent on many interrelated variables and thus there is no generalized scale filters [2]. the most important design factors are the characteristics of the filter media including type of filter media, grain size and gradation, properties of wastewater solids to be filtered, and the rate of filtration. generally, pilot scale studies are usually undertaken to evaluate the performance of the filter media to be used for filtering the wastewater in question. in the absence of a pilot study, the design must be based on experience with similar filter influent wastewater at other installations scrap tires are a solid waste, which are in increasing rates every year in particular in iraq. they have been usually disposed in landfills or tire piles with serious environmental risks. this problem may assume a larger importance in areas of tropical climate with precarious sanitation conditions moreover scrap tires piles consist a serious fire hazard [3]. al-khwarizmi engineering journal removal water turbidity by crumb rubber media college of engineering/ university of baghdad college of engineering/ university of baghdad the removal of water turbidity by using crumb rubber filter was investigated .the present study was conducted to tu), media size (0.6and 1.14mm), filtration rate (25, 45 and 65 l/hr) and bed depth (30 and 60 cm) on the performance of mono crumb rubber filter in response to nventional sand filter. that 25 l/hr flow rate and 25 ntu influent turbidity were the best operating conditions. smaller and small bed depth gave 8.3 mm head loss. the comparison drop for crumb rubber filter is lower than conventional sand about 42% reduction in pressure drop than sand filter and the conventional sand filter has a little enhancement in t design factors are the characteristics of the filter media including type of filter media, grain size and gradation, properties of wastewater solids to be filtered, and the rate of filtration. generally, pilot scale studies are usually uate the performance of the filter media to be used for filtering the wastewater in question. in the absence of a pilot study, the design must be based on experience with similar filter influent wastewater at other installations. ste, which are produced in increasing rates every year in particular in iraq. usually disposed in landfills or with serious environmental risks. this importance in areas precarious sanitation conditions moreover scrap tires piles consist a mailto:inas_abbas@yahoo.com mailto:myabdulahad@yahoo.com mailto:abeerwared@yahoo.com abbas h. sulaymon al-khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331(2014) 24 about 280 million scrap tires were generated in 2000 with an annual growth of about 26%, and there are about 2000 million scrap tires in stockpiles in the us [4]. it takes a considerable time for scrap tires to decompose in natural systems. with rainwater accumulating in the void space, scrap tire stockpiles are ideal breeding grounds for mosquitoes, insects and rodents. the discarded tires can cause both health and environmental problems [5]. the management and disposal of scrap tires are of great concern in the united states. an innovative crumb rubber filtration technology has been developed to treat wastewater at penn state harrisburg [6]. it was found that crumb rubber is an excellent filter media for downward granular media filters. in comparison to traditional granular media filters (e.g., sand, anthracite, etc.), because of its elasticity, the crumb rubber filter allows higher filtration rate, lower head loss, longer filtration run time, and better effluent quality. because of its high filtration rate and low density media, the crumb rubber filter is much smaller and lighter than the conventional filters. after a filtration cycle, the crumb rubber can be backwashed with upward flow of filtered water. because of low density of rubber material, the crumb rubber filter can be backwashed at a much lower backwash water flow rate than the conventional sand/anthracite filter (20m3/hm2 versus 52.5m3/hm2) [7] . the removal of turbidity, particles, phytoplankton and zooplankton in water by crumb rubber filtration; were investigated by tang, et al [8], they concluded that there was a substantial reduction achieved. of the three variables, filter depth, media size and filtration rate, media size had the most significant influence. smaller media size favored higher removal efficiency of all targeted matter. there was no apparent relationship between removal efficiency and filter depth. higher filtration rate resulted in lower removal efficiency and higher head loss. compared with conventional granular media filters, crumb rubber filters required less backwash, and developed lower head loss. a potential use of tire crumb is as a filter in pollution control applications. past studies have shown that tire crumb can be used as an effective filter medium achieving similar results compared to using a sand/anthracite filter to remove turbidity and suspended solids. it was also indicated that the head loss associated with running water through tire crumb as opposed to the standard sand/anthracite media is significantly less [9]. factorial design was used in this study. the approach reduced the experimental burden while was effective in seeking high quality results to analyze the effects of factors and interactions. the main objective of this work is to evaluate the performance and effectiveness of sand filters by utilizing crumb rubber as filter media which is a locally available solid waste material. 2. experimental work and materials sieve analysis was used to calculate the size distribution of crumb rubber and sand. sieve analysis was carried out by shaking a weighted sample of crumb rubber and sand using (endicot sieve shaker) through a set of sieves that have progressively smaller openings. after completion the shaking period (about 25 min), the mass of sample retained on each sieve is measured using sartorius precision balance. the results of sieve analysis are generally expressed in terms of the percentage of the total weight of sample that passes through different sieves. the geometric mean size, effective size, and uniformity coefficient. are tabulated in table (1), analyzed in ministry of oil, petroleum development and research center, baghdad, iraq. a pilot plant was constructed in order to study the effectiveness of crumb rubber as a filter media. as shown in fig. 1 pvc column with 5cm inner diameter and 1 meter length was used,. turbid water was prepared in a tank by adding kaolin (red kaolin from local material),) to tap water with manual mixing. after sufficient settling period of time (about 10 to 30 min. depending on the required turbidity) to allow settling of large particles, turbid water was pumped to a gravity feeding tank to be used as an influent to the filtration column. two different size of crumb rubber 0.6 and 1.14 mm was used. for each size (0.6, 1.14 mm), the filter column was loaded to a depth of 30 and 60cm respectively. before each filter run, the filter was backwashed by air scour and then water. for each filter configuration, the filter was operated at three measured influent flow rates 25, 45, and 65 m/hr respectively using a calibrated rotameter. the effluent turbidity was measured using turbidity meter (hi 98703 hanna).the head loss through the filter media was measured using the difference between the water level in the abbas h. sulaymon al-khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331(2014) 25 filter column and the water level in the glass tube connected to the bottom of the filter column both reading and recorded at fixed time intervals along the experimental duration time of 120 minutes. porosity of 0.617 and 0.62 for sizes 0.6 and 1.14mm were determined by the measurement of the dry weight of the media initially loaded to the filter column and the media depth. the performance of the optimal crumb rubber filtration conditions were compared with sand (the same size, influent turbidity, influent flow rate, and bed height) by measuring the head loss and the effluent turbidity. table 1, .sieve analysis parameters and physical charactaristis for crumb rubber and sand crumb rubber sand size, mm 0.6-1 1.14-1.18 0.6-1 effective size, mm 0.6 1.14-1.18 0.61 uniformity coefficient 1.388 1.487 1.41 density g/cm3 0.114 0.114 0.255 porosity 0.617 0.62 0.506 fig. 1. experimental setup of the crumb rubber filter. 3. results and discussion 3.1. effectof size and influnt flow rate on pressure drop and turbidty four experimental sets were carried out to study the effect of granuler size, bed height,influent flow rate, and influent turbidities on pressure drop and the percent turbidity removal are shown in figs.(2-5).it can be seen from these figures that the best flow rate was 25 l/h, higher filtration rate resulted in lower turbidity removal efficiency and the best influent turbidity was 25 ntu for all media size .it is clear that lower flow rate causes higher pressure drop,while higher flow rate causes more chanelling between the crumb particles which led to a lower pressure drop. effluent sampling air rotameter air pump air filtration column rotameter backwash tank over flow rotameter pump preparation tank feeding tank i m abbas h. sulaymon al-khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331(2014) 26 3.2. optimum filtration conditions for the crumb rubber the percentage turbidity removal and pressure drop values were found from figs (25) for each of the sets 1, 2, 3, and 4 individually as shown in table 2. the best turbidity removal efficiencies for the two media sizes 0.6 and 1.14 mm were 92.7% ,90.8% respectively at constant bed height of 50 mm . these results clearly indicate that the media size played an important role in turbidity removal. this observation was expected since a smaller media size corresponds to a smaller pore size, consequently more solid matter could be strained by the filter media. also it can be seen from these figures that the bed height has less effect on removal efficiency. the best pressure drop was 8.3 cm h2o for 1.14 mm media size and 30cm bed height while for 0.6 mm media size and 30 cm bed height was 29 cm. for small media size the fine grains tend to settle on the top of the filter, which will easily clog the filter bed surface, and cause a high head loss. 3.3. comparison between optimal conditions of crumb rubber filtration and sand comparing the optimum conditions of crumb rubber with sand at influent flow rate 25 l/h, influent turbidity 25ntu.the results for pressure drop and turbidity removal efficiency with time were plotted and as shown in figs 6 and 7. table 2. optimum filtration conditions. pressure drop turbidity r2 fitting equation pressure drop cm h2o r2 fitting equation removal % 0.964 y = 0.001x2 + 0.006x + 9.087 29 0.971 y=-.006x2 + 1.376x+10.25 91.2 set no.1 0.929 y = 0.001x2 + 0.030x + 11.69 35.1 0.926 y = -0.006x2 + 1.421x + 16.59 92.7 set no.2 0.945 y = 0.000x2 + 0.001x + 2.598 8.3 0.982 y = -0.005x2 + 1.357x + 7.574 90.6 set no 3 0.947 y = 0.000x2 + 0.003x + 5.201 16.7 0.979 y = -0.005x2 + 1.362x + 8.382 90.8 set no.4 abbas h. sulaymon al-khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331(2014) 27 fig. 2. set no.1, turbidity removal efficiency and pressure versus time at particle size 0.6mm and bed height =30cm fig. 3. set no.2, turbidity removal efficiency and pressure drop versus time at particle size 0.6 mm and bed height 50cm ٢٩ ٨٤.٠ ٢٩ ٩١.٢ ٣٠ ٨١.٠ ٧٢ ٨٢.٩ ٧٧ ٨٩.٧ ٨٣ ٨٠.٢ ٧٨ ٨١.٧ ٧٩ ٨١.٧ ٨٤ ٧٩.٤ ٠ ١٠ ٢٠ ٣٠ ٤٠ ٥٠ ٦٠ ٧٠ ٨٠ ٩٠ ١٠٠ ١١٠ ١٢٠ δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al turbidity ١٠ turbidity ٢٥ turbidity ٥٠ turbidity ١٠ turbidity ٢٥ turbidity ٥٠ turbidity ١٠ turbidity ٢٥ turbidity ٥٠ flow rate٢٥l/h flow rate٤٥l/h flow rate٦٥l/h set no.1 optimum turbidity removal = 91.2% pressure drop=30cm ٠min ١٠min ٢٠min ٣٠min ٤٠min ٥٠min ٦٠min ٧٠min ٨٠min ٩٠min ١٠٠min ١١٠min ١٢٠min ٣٤.٥ ٨٦.٧ ٣٥.١ ٩٢.٧ ٣١.٠ ٨٤.٢ ٨٨.٦ ٨٥.٧ ٩٤.٤ ٩١.٤ ١٠٠.٥ ٨٣.٥ ٩٤.٦ ٨٤.٧ ٩٦.٣ ٩٠.٠ ١٠٢.١ ٨٢.٩ ٠.٠ ١٠.٠ ٢٠.٠ ٣٠.٠ ٤٠.٠ ٥٠.٠ ٦٠.٠ ٧٠.٠ ٨٠.٠ ٩٠.٠ ١٠٠.٠ ١١٠.٠ ١٢٠.٠ δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al turbidity ١٠ turbidity ٢٥ turbidity ٥٠ turbidity ١٠ turbidity ٢٥ turbidity ٥٠ turbidity ١٠ turbidity ٢٥ turbidity ٥٠ flow rate٢٥l/h flow rate٤٥l/h flow rate٦٥l/h set no.2 optimum turbidity removal=92.7% presure drop=31cm ٠min ١٠min ٢٠min ٣٠min ٤٠min ٥٠min ٦٠min ٧٠min ٨٠min ٩٠min ١٠٠min ١١٠min ١٢٠min h2o h2o abbas h. sulaymon al-khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331(2014) 28 fig. 4. set no.3, turbidity removal efficiency and pressure drop versus time at particle size 1.14mm and bed height 30cm. fig. 5. set no.4, turbidity removal efficiency and pressure drop versus time at particle size 1.14 mm and bed height 50cm. ٨.٢ ٨٢.٩ ٨.٣ ٩٠.٦ ٨.٦ ٧٩.٧ ٢٨.٨ ٨١.٦ ٣١.٠ ٨٨.٨ ٣٣.٢ ٧٩.٣ ٣٩.٠ ٨٠.٣ ٣٩.٣ ٨٦.٧ ٤٢.٢ ٧٨.٩ ٠.٠ ٢٠.٠ ٤٠.٠ ٦٠.٠ ٨٠.٠ ١٠٠.٠ ١٢٠.٠ δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al turbidity ١٠ turbidity ٢٥ turbidity ٥٠ turbidity ١٠ turbidity ٢٥ turbidity ٥٠ turbidity ١٠ turbidity ٢٥ turbidity ٥٠ flow rate٢٥l/h flow rate٤٥l/h flow rate٦٥l/h set no.3 optimum turbidity removal=90.6% pressure drop=8.3cm ٠min ١٠min ٢٠min ٣٠min ٤٠min ٥٠min ٦٠min ٧٠min ٨٠min ٩٠min ١٠٠min ١١٠min ١٢٠min 16.0 83.2 16.7 90.8 17.5 80.1 57.7 82.0 61.9 89.0 66.4 79.7 78.0 80.7 78.5 87.0 84.3 79.4 0.0 20.0 40.0 60.0 80.0 100.0 120.0 δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al δp % re m ov al turbidity 10 turbidity 25 turbidity 50 turbidity 10 turbidity 25 turbidity 50 turbidity 10 turbidity 25 turbidity 50 flow rate25 l/h flow rate45 l/h flow rate65 l/h set no.4 optimum turbidity removal=90.8% pressure drop=17.5cm 0 min 10 min 20 min 30 min 40 min 50 min 60 min 70 min 80 min 90 min 100 min 110 min 120 min h2o h2o abbas h. sulaymon al-khwarizmi engineering journal, vol. 10, no. 2, p.p. fig. 6. comparison for pressure drop cm h and percent optimum removal turbidity= 92.7% fig. 7. comparison for %turbidity removal with time be =0.6mm). 4. conclusions 1. flow rate affects on removal efficiency and head loss, increasing flow rate cause decreasing in removal efficiency and increase in head loss .the best flow rate was 25l/h and the best influent turbidity was 25ntu sets. 2. smaller media size and higher bed depth gave the best removal efficiency while higher media size and smaller bed depth gave better head loss. 3. the optimum removal efficiency and head loss for crumb rubber filter were 92.7% and 8.3mm respectively. 4. at constant operating conditions conven sand filter has little enhancement in removal efficiency than crumb rubber. 5. the head loss developed in crumb rubber filter is less than that in sand filter, by 42% reduction in pressure drop than sand filter at the same operating conditions. 0.0 20.0 40.0 60.0 80.0 0 pr es su re d ro p , c m h 2o ٠.٠ ٢٠.٠ ٤٠.٠ ٦٠.٠ ٨٠.٠ ١٠٠.٠ ١٢٠.٠ ٠ % tu rb id ity re m ov al ef fic ie nc y khwarizmi engineering journal, vol. 10, no. 2, p.p. 29 cm h2o with time between crumb rubber and sand (particle size= 0.6mm) removal turbidity= 92.7%. comparison for %turbidity removal with time between crumb rubber and sand flow rate affects on removal efficiency and head loss, increasing flow rate cause decreasing in removal efficiency and increase flow rate was 25l/h and influent turbidity was 25ntu for all bed depth gave the best removal efficiency while higher media size and smaller bed depth gave better the optimum removal efficiency and head loss for crumb rubber filter were 92.7% and at constant operating conditions conventional sand filter has little enhancement in removal the head loss developed in crumb rubber by about 42% reduction in pressure drop than sand . 5. references [1] mujeriego, r. and asano, t of advanced treatment in wastewater reclamation and reuse. wat. sci. tech., 5): 1-9. [2] metcalf and eddy (1991) engineering: treatment, disposal, and reuse. 3rd edition. new york: [3] abas, f. o., abass, m. o., abass, r. o. and shymaa, k. g.(2011) improvement by waste tires addition. eng. and tech. journal, 26(16): 3417-3428. [4] sunthonpagasit, n., and hickman, h. l., jr (2003) manufacturing and utilizing crumb rubber from scrap tires management. 13. [5] united states environmental protection agency (usepa) (1993) scrap tire handbook. epa/905-k-001. region 5, usa. [6] graf, c., and xie, y. f. (2000) flow filtration using crumb rubber media for tertiary wastewater filtration. keystone water quality manager, 33:12 50 100 150 time, min rubber sand ٠ ٥٠ ١٠٠ ١٥٠ time, min rubber sand khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331(2014) particle size= 0.6mm) tween crumb rubber and sand (particle size mujeriego, r. and asano, t (1999) the role of advanced treatment in wastewater wat. sci. tech., 40(4(1991) wastewater atment, disposal, and new york: mcgraw-hill. abass, r. o. and improvement of soil eng. and tech. hickman, h. l., jr. manufacturing and utilizing crumb r from scrap tires. msw united states environmental protection pa) (1993) scrap tire region 5, usa. (2000) gravity down on using crumb rubber media ewater filtration. keystone 12–15. abbas h. sulaymon al-khwarizmi engineering journal, vol. 10, no. 2, p.p. 2331(2014) 30 [7] hsiung, s. y. (2003) filtration using a crumb rubber medium. m.sc. thesis, environmental engineering at penn state university.pa. usa. [8] tang, z., butkus , a. m. and xie , y.f. (2006) crumb rubber filtration: a potential technology for ballast water treatment. marine environmental research 61: 410– 423. [9] xie. y. (2007) filter media: crumb rubber for wastewater filtration, filtration and separation, 44, 30-32. 2014)( 2331، صفحة 2، العدد10دجلة الخوارزمي الھندسیة المجلم عباس حمید سلیمون 31 ازالة عكورة المیاه باستعمال المطاط كوسط ترشیح ***عبیر ابراھیم موسى **منى یوسف عبد االحد *عباس حمید سلیمون لطاقة * ھندسة ا الھندسة / قسم یة جامعة بغداد/ كل یئیة ***،** ب ل ھندسة ا ال ھندسة / قسم د/ كلیة ال جامعة بغدا inas_abbas@yahoo.com : االلكتروني البرید* myabdulahad@yahoo.com كتروني ** االل لبرید :ا abeerwared@yahoo.com :االلكتروني البرید*** الخالصة لمرشح لتاثیر كماده مرشحھ احادیة الزالة عكورة الماء من خالل اختبار كفاءة ا ) المطاط(تضمن البحث دراسة امكانیة استخدام مخلفات االطارات و ارتفاع الوسط، ساعة/لتر) ٦٥، ٤٥، ٢٥( معدل الجریان، )ملم١.١٤و ٠.٦(حجم الحبیبات ، )وحدة عكورة ٥٠، ٢٥، ١٠(الماء الداخلالتغیر في عكورة .سم على مقدار العكورة الخارجة وارتفاع عمود الماء ومقارنتھا مع مرشح الرمل التقلیدي ولمدة ساعتین حیث تم سحب نموذج كل عشرة دقائق ) ٦٠، ٣٠( كانت عند حجم % ٩٢,٧كما ان افضل نسبة ازالة بلغت ،وحدة عكوره ٢٥ساعة و /لتر ٢٥تائج كانت عند معدل جریان تم التوصل الى ان افضل الن .ملم ٨,٣سم ارتفاع الوسط حیث بلغ ٣٠ملم و ١,١٤سم ارتفاع الوسط وان ارتفاع عمود المیاه كان اقل عند حجم حبیبات ٦٠ملم و ٠,٦حبیبات لي وعند مقارنة نتائج مرشح المطاط مع المرشح الرملي عند نفس الظروف كان ارتفاع عمود المیاه في مرشح المطاط اقل من المرشح الرملي بحوا % .٩٢,٧بینما مرشح المطاط % ٩٦,٨مع ان نسبة االزالة للعكورة كانت افضل في المرشح الرملي حیث بلغت % ٤٢ mailto:inas_abbas@yahoo.com mailto:myabdulahad@yahoo.com mailto:abeerwared@yahoo.com al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) experimental study of mixed convection in an enclosure with a cold movable top wall and hot bottom wall nabil j. yasin* dhia al-deen h. alwan** ayad s. abdulla*** *,** department of airconditioning and referigeration engineering / engineering technical college of baghdad department of airconditioning and referigeration engineering / engineering technical college of mosul *** nabiljamil58@yahoo.com *email: dhia716@yahoo.com email:** ayad_s00@yahoo.com *email:** (received 4 november 2013; accepted 28 january 2014) abstract mixed convection heat transfer to air inside an enclosure is investigated experimentally. the bottom wall of the enclosure is maintained at higher temperature than that of the top wall which keeps in oscillation motion, whereas the left and right walls are well insulated. the differential temperature of the bottom and top walls changed several times in order to accurately characterize the temperature distribution over a considerable range of richardson number. adjustable aspect ratio box was built as a test rig to determine the effects of richardson number and aspect ratio on the flow behavior of the air inside the enclosure. the flow fields and the average nusselt number profiles were presented in this work. the results show that, at a constant value of the richardson number, average nusselt number (nuav.) increases with aspect ratio. furthermore, as richardson number decreases, the time period decreases with constant values of aspect ratio. keywords: mixed convection, experimental, aspect ratio, enclosure, oscillating motion. 1. introduction the problem of heat transfer by mixed convection has been the subject of intensive numerical, and experimental investigations in the recent years because of its significant applications in nature and in many scientific and engineering practices such as, cooling of electronic devices[1],the design stage of ceiling radiant cooling panel (crcp)system [2], manufacturing of solar collectors, flow and heat transfer in solar ponds[3]. a survey of the literature on mixed convection in enclosures shows that most of these studies were adapted the numerical methods while very few of these studies were carried out experimentally. aydin, and yang [4] investigated numerically mixed convection in cavities with a locally heated lower wall and moving sidewalls which was assumed to be moving downward across the cavity and to be kept at a constant temperature. the remaining parts of the cavity were considered to be adiabatic. mixed convection heat transfer in a two-dimensional rectangular cavity with constant heat flux from partially heated bottom wall while the isothermal sidewalls were moving in the vertical direction, was studied by guo and sharif [5]. all computations were done for a range of richardson number from(0.1 to 10).the results show an improvement of the flow and temperature field and increasing of the nusselt number values by increasing of both of the richardson number and the heat source. hakan and dagtekin[6], abdalla al-amiri, et al.[7], sharif [8], and waheed, [9]were also studied the problem for the mixed convection in enclosures under different boundary conditions numerically and they concluded a number of explanations for the change in the mailto:nabiljamil58@yahoo.com nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 33 values of the nusselt number. khanafer and amiri[10] investigated the effects of oscillatory motion of the upper wall. the results reveal that the reynolds and grashof numbers would either enhance or retard the energy transport process and drag force behavior depending on the velocity cycle.ghasemi,and aminossadat[11] present a numerical investigation of mixed convection in a square cavity which configured such that one of the vertical walls is cooled and slides either with a constant speed or with a sinusoidal oscillation. the results indicate that the direction and magnitude of the sliding wall velocity affect the heat transfer rate. an experimental study of mixed convection and flow pattern in a lid-driven arcshape cavity were carried out by chen and cheng[12]. the top flat lid maintained at temperature δtland was moving from left to right at a constant speed. the bottom arc-shape wall is heated such that its temperature is fixed at a higher temperature. the flow visualization technique using kerosene smoke is applied to observe the flow pattern. an experimental investigation for the flow field in an enclosure with a bottom wall maintained at a temperature higher than the temperature of the top wall was done in the present work. the top wall was moving horizontally in a certain sinusoidal motion while the two other walls were perfectly insulated. the air was used to be the working fluid. 2. experimental apparatus and procedure the schematic diagram of the test rig is shown in fig.(1). the main part of the experimental rig is the enclosure which shown in fig. (2).it is a rectangular box manufactured from wood. the enclosure has a width of (300) mm and a variable height of(150)mm, (300)mm, and (600) mm. to ensure that the flow is two-dimension, the depth of the enclosure is adjusted to(1000) mm[13].the bottom wall is heated by an external plate heater fixed by bolts. three holes on the bottom side used to inject smoke inside the enclosure as shown in fig.(3).the top wall is connected to an external mechanism to provide an oscillating motion. the moving apparatus was designed and fabricated to provide a horizontal variable speed motion to the top wall according to [u=umax sin (ωt)].the oscillation amplitude (umax) represent the maximum top wall moving speed as shown in fig. (4). fig. (5) shows the moving apparatus which consists of (600mm x 1000 mm) aluminum plate,(3 mm) thickness connecting to a variable speed dc-motor with an arm. a slice of rubber was inserted between the movable part (aluminum plate) and the sides of the enclosure to prevent air leakage. the left and right walls of the enclosure were perfectly insulated to ensure that no heat exchange across them. the symptomaticwalls of the enclosure provided with two glass windows to visualize the flow field inside the enclosure as shown in fig.(6).an electrical film heater was mounted on the bottom surface of the enclosure to provide a constant heat flux. many strips of chrome-nickel alloy having a width of (1) mm and of (48) ohm/m electricalre sistance used as heating element. the heating element supplied a wide range of constant heat flux values. the power required for the heating element was controlled by adjusting the electric current supplied to the element. the flow field was visualized by imaging the smoke inside the enclosure. type-k thermocouples with a digital thermometer were used to measure the temperature distribution inside the enclosure, and the differential temperature of the cold and hot sides as in fig.(7).the thermocouples were connected in parallel to a digital thermometer by leads through a selector switch. in order to obtain accurate measurements, a calibration for the thermocouples, compensating cable, selector switch, and the measuring device were done. the angular velocity of the motor is measured by using speed meter. air flow visualized using smoke method technique. the smoke is fed into the cavity through three holes placed beneath the bottom wall of the enclosure. the two glass windows and the smoke allowed the flow field in the enclosure to be visualized by using a digital camera. during each test run, the temperature of the bottom heating surface and the top moving wall is specified and the accessories is setting according to these selected specification. a digital watch was used to control the time period of oscillation. the temperatures of the hot and the cold walls were monitoring continuously (threethermocouplest1, t2, andt3for the hot wall, and one thermocouple t7 for the cold wall) as in fig (7).each (1/4) and (3/4) period, the air temperature inside the enclosure was recorded. when the recorded temperature of a previous period and that of the later period is almost equal, for the entire air in the enclosure, the experiment assumed to be reached the steady state condition. when the enclosure is considered to be at a steady state condition the smoke has been injected to the cavity through the three holes of the bottom wall and photographs of the flow field have been done by using the digital camera. at the end of the experiment, the heating element switch off, and nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 34 the rig will allowed returning to its original temperature before starting new test run.the analyses of the experimental uncertainties of the results have been given proper attention. in the present study, the uncertainty analysis was performed by the method proposed by holman 1984[14]for all experiments, and it was found that the expected experimental error was within ±4.3%for all test runs. fig. 1. schematic diagram and a photograph of the test rig. 1. dc motor 5. glass window 2. aluminum plate 5 mm thick 6. joint with screw 3. electrical heater 7. iron frame 4. wood enclosure 8. flexible arm nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 35 3 aspect ratio =0.5 2 1 4 fig. 2 . schematic diagram of the enclosure. fig. 3. the bottom wall. 1. moving wall 3. heater at the bottom 2. window 4. side wall from wood pipe of smoke heater insulation nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 36 fig. 4.the amplitude of oscillation. fig. 5.the movable top wall. fig. 6.the side wall of enclosure. fig. 7. thermocouple distribution inside the enclosure. nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 37 3. data analysis richardson number is a measurement of the relative importance variables of the buoyancydriven natural convection to the lid-driven forced convection, which is calculated from the following equation. ri= gr/re 2 = (g.β.(th-tc ).h) /(umax.) 2 …(1) where = the nusselt number is assumed to be the reference to the effect of fluid motion on heat transfer. it is of a great interest to study this effect by determining nusselt number in each stage of heat transfer process within the enclosure. generally, and according to the heat balance which occurs between the heating surface and the air inside the enclosure, one can say that conduction heat from the heating surface is equal to the convection heat to the air in the cavity …(2) where . …(3) and …(4) where is the area of the element under investigation, and, …(5) so that, . …(6) then …(7) where = k . nu[15], but nu = and his the length of the enclosure which is the distance between the hot and cold surfaces, so that equation (6) can be written as: …(8) 4. results and discussion figs.(8) and (9) are represent photographs of the flow field at (ri=10) and (ri=5) respectively. these photographs show that the whole field consists of two cells which occupy all of the enclosure space, which is attributed to the fact the fluid flow inside the enclosure is dominated by natural convection. also it can be concluded from these photographs that, decreasing richardson number (by increasing the reynolds number) at constant values of grashof number and aspect ratio (ar= 1), will lead to increase the force convection due to increase the amplitude of oscillation at the top wall (umax). it was very difficult to image the flow field at ri=1 and ri=0.1, because the process requires increasing the top wall speed, which means that the time period required to complete one cycle is very little, unfortunately the facilities and the equipment for this job were unavailable at the time of experiments. figs. (10) and (11) represent the photographs of the flow field at (ri=5), and various values of the aspect ratio (ar=0.5, and 2).it can be conclude from these figures that the time required to complete one cycle (period) will increase when the aspect ratio is increase at the same value of the richardson number, mean that the time period is increases due to the increase the amplitude of the oscillation at the top wall (umax).the temperature measurement each (1/4 and 3/4) of the time period was used to deduce experimentally the effect of richardson number, on the average nusselt number(nuav.). fig. (12) shows the relation between average nusselt number with dimensionless time for different values of richardson number (ri=5 and 10) at constant aspect ratio (ar=1) and constant grashof number. the figure shows that the average nusselt number (nuav.) is increasing with richardson numberdecrease (ri). for example; withri=5the average nusselt number (nuav.) is (2.9) at (τ=25), while with ri=10 it is (nuav.) is (2) at the same (τ=25). also it may be concluded from the figure, that the time lag to reach the periodical steady state condition of the average nusselt number (nuav.) decreases when the richardson number decrease, for example the required time to reach the steady state condition with (ri=10) is (τ =25 ), while it is (τ=20) with(ri=5). theexplanation of this result is that, when the richardson number decreases the amplitude of the oscillation at the top plate (umax) will increased, also the oscillation frequency of the average nusselt number (nuav.) will increase which causes decrease in the time lag to reach the periodical steady state condition. fig.(13) shows the relation between the average nusselt number (nuav.) with dimensionless time at various values of the of aspect ratio and constant value of richardson number (ri=5). it shows that the average nusselt number is increased with increasing of the value of aspect nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 38 ratio at the same value of the richardson number. for example at (τ =25), the average nusselt number is (nuav.=3.3) with(ar=2) while (nuav.=2.9) with(ar=1), that is, the increase of the aspect ratio must be associate within crease the oscillating velocity at the top wall which causes the force convection to increase, and will cause an improvement in the heat transfer coefficient and increase in the average nusselt number (nuav.).a comparison between the present experimental work with numerical results which carried out by the authorshas been made as follows [ 16 ]: 1. a comparison between the experimental and numerical results for flow field is shown together in fig.(14) for (ri=5) at aspect ratio (ar=2). this figure shows the effect of richardson number and aspect ratio on the flow field inside enclosure, the flow visualization photographs are given in the left column of this figure, while the numerical contour is located on right side from figure. both contours of the numerical and experimental results consist of two cells and occupy all of the enclosure space. this means that the fluid flow inside the enclosure is dominated by natural convection. it can be seen from this figure that both contours have the same trend and behavior. 2. a comparison between resulting average nusselt number for both experimental and numerical solutions is shown in fig’s.(15) and (16). fig.(15) shows that for (ri=5) and when the steady state condition is reached at (τ=22) the maximum experimental average nusselt number (nuav.) was (2.9)), while maximum numerical average nusselt number was (nuav.=3.4) at (τ=22). error ratio between experimental and numerical values of the average nusselt number in these figures is about (14.7%). moreover fig.(16) shows that at (ri=10), and (τ=22) the maximum average nusselt number in both experimental and numerical results are(nuav.=2) and (nuav.=2.3) respectively. the error ratio between the two values is about (13%). from fig’s.(15) and (16) we may conclude that the maximum error occurs with(ri=5) and minimum error occurs with (ri=10), because, when richardson number decreases the amplitude of the oscillation at the top wall (umax) will increase which causes a decrease in the time period. also it may be concluded from these figures that the time lag to reach the periodical steady state condition of the average nusselt number (nuav.) in experimental study is greater than that for the numerical solution.for example the time to reach the steady state condition in the experimental case with ri=10 is (τ =20) while in the numerical case, it is (τ=4). to explain this feature: as the average nusselt number (nuav.) depends on the temperature difference between the hot wall and the air inside the enclosure, and at the timejust starting the experiments, the temperature of the air in the enclosure is much lower than the temperature of hot wall, so the temperature difference between the hot wall and the air is high which will increase the heat transfer coefficient. after some time the temperature of the air will increase and cause decrease in the temperature difference produced a decrease in the average nusselt number continuously until reaching the steady state condition. nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 39 0dp 1/2 dp 1/4 dp 3/4dp 3/4dp dp fig. 8. experimental flow field at ri=10 and ar=1. 0dp 1/4dp 1/2 dp 3/4dp dp fig. 9. experimental flow field at ri=5 and ar=1. nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 40 fig. 10. experimental flow field at ri=5 and ar=0.5. fig. 11. experimental flow field at ri=5 and ar=2. dp 3/4 dp 1/2 dp 1/4 dp 0dp 0dp 1/4 dp 1/2 dp 3/4 dp dp fig(9):experimental flow field at ri=5 and ar=1 nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 41 fig. 12. experimental determination of the average nusselt number versus dimensionless time at aspect ratio(ar)= 1 with different values of (ri) and constant (gr). fig. 13. the experimental determination of average nusselt number versus dimensionless time at richardson number (ri=5) with different values of (ar). nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 42 fig. 14. flow field, comparisonof the experimental and numerical work at ri=5, ar=2. nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 43 [15] fig. 15. comparing the experimental and numerical work at ri=5, and ar=1. fig. 16. comparing the experimental and numerical work at ri=10, and ar=1. [15] [15] nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 44 5. conclusions 1when richardson number decreases due to the increase in the value of reynolds number at constant values of aspect ratio and grashof number, the time period is decrease. 2the time period increases when the aspect ratio increases at the constant value of the richardson number. 3average nusselt number (nuav.) increases when the aspect ratio increases at the constant value of the richardson number. 4time lag to reaches the periodical study state condition of the average nusselt number (nuav.) decrease when the richardson number increases. 5the average nusselt number increases when reynolds number increases at constant values of the aspect ratio and grashof number. nomenclatures units definition symbols -aspect ratio ar=w/h ar m 2 area of element under investigation aelem -dimensionless period (dp=2π /s) dp rad frequency f -grashof number gr=(g. β.(th-tc).h 3 )/ѵ 2 gr m/s² acceleration due to gravity g m height of the enclosure h w/m². ˚c heat transfer coefficient h w/m. ˚c fluid thermal conductivity k -nusselt number nu -reynolds number re=( h.umax)/ ѵ re -richardson number ri=gr/re² ri m radius(r=15cm) r -dimensionless frequency s=ω.h/umax s ˚c dimensional value of the temperature t ˚c cold wall temperature tc ˚c hot wall temperature th sec time t ˚c temperature difference thtc toδ -dimensionless time period tw m/s top cover speed (amplitude of the oscillation) umax m dimensional length of the yaxis y m width of the enclosure w greek letters m²/s thermal diffusivity α 1/ o k thermal expansion coefficient β dimensionless time τ=(t.umax)/h τ m²/s kinematic viscosity v kg/m.s dynamic viscosity μ kg/m³ density ρ rad/s angular frequency ω=2πf ω 6. references [1] f.p. incropera, “convection heat transfer in electronic equipment cooling”, j. heat transfer 110 (1988) 1097–1111. [2] jae-weonjeong, and stanley a. mumma, “impact of mixed convection on ceiling radiant cooling panel capacity” ,international journal of hvac&r research, vol. 9, no. 3, july 2003. [3] j.srinivasan, “solar pond technology”, sadhana, vol. 18, part 1,1993, pp. 39–55. [4] o. aydin and w.yang, “mixed convection in cavities with a locally heated lower wall and moving sidewalls”, numerical heat transfer, part a, 37:695 –710, (2000). [5] g. guo, m. a.r. sharif, “ mixed convection in rectangular cavities at various aspect ratios with moving isothermal sidewalls and constant flux heat source on the bottom wall”, int. j. of heat and mass transfer, 43: 465–475, (2004). [6] h. f. oztop, i. dagtekin, “mixed convection in two-sided lid-driven differentially heated square cavity”, international journal of heat and mass transfer 47 :1761–1769, (2004). [7] a. al-amiri, k. khanafer, j. bul, i. pop, “effect of sinusoidal wavy bottom surface on mixed convection heat transfer in a liddriven cavity”, international journal of heat and mass transfer 50: 1771–1780, (2007). [8] m.a.r. sharif, “laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom”, appl. therm. eng. 27 :1036–1042, (2007). nabil j. yasin al-khwarizmi engineering journal, vol. 10, no. 1, p.p. 3246 (2014) 45 [9] m.a. waheed, “mixed convective heat transfer in rectangular enclosures driven by a continuously moving horizontal plate”, international journal of heat and mass transfer 52 (2009) 5055–5063. [10] k.m. khanafer, a.m. al-amiri, i. pop, "numerical simulation of unsteady mixed convection in a driven cavity, using an externally excited sliding lid" , eur. j. mech. b fluids 26 (2007) 669–687. [11] ghasemi, b.,andaminossadat, s., “comparison of mixed convection in a square cavity with an oscillating versus a constant velocity wall heat transfer”, numerical heat transfer, part a , 54:726743,(2008). [12] chin-lung chen and chin-hsiang cheng, “experimental and numerical study of mixed convection and flow pattern in a liddriven arc-shape cavity”, heat mass transfer (2004) 41: 58–66. [13] md. n. h. khan chowdhury, sumonsaha and md. a. hassan mamun, “mixed convection analysis in a lid driven trapezoidal cavity with isothermal heating at bottom for various aspect anglers”, international conference on mechanical engineering 2628 december (2009). [14] j.p.holman"experimental methods for engineers "mcgraw-hill book company,1984 [15] yunus, a., “heat transfer: a practical approach”, second edition, mcgraw-hill, (2003). [16] abdull,a.s" mixed convection in an enclosure with a heated lower wall and reciprocating moving upper wall"m.sc thesis ,tech.college of baghdad 2013. (2014) 3246، صفحة 1، العدد10دمجلة الخوارزمي الهندسية المجل نبيل جميل ياسين 46 للحمل المختلط داخل مغلف ذو سطح علوي متحرك بارد وسطح سفلي ساخن تجريبية دراسة ***اياد سليمان عبد هللا ** علوان ضياء الدين حسين * نبيل جميل ياسين بغداد -ةالهندسي ةالتقني ةالكلي /التبريد ةقسم هندس **،* موصل -ةالهندسي ةالتقني ةالكلي /التبريد ةقسم هندس *** nabiljamil58@yahoo.com: البريد االلكتروني* dhia716@yahoo.com:البريد االلكتروني** ayad_s00@yahoo.com :االلكترونيالبريد *** الخالصة من درجة أعلىثبتت درجة حرارة السطح السفلي للحيز المغلق لتكون . الهواء داخل حيز مغلق تمت دراسته تجريبيا إلىانتقال الحرارة بالحمل المختلط الفرق بدرجات الحرارة للسطحين العلوي . حرارة السطح العلوي وحرك السطح العلوي بحركة ترددية ثابتة، فيما تم عزل السطحين الجانبيين حراريا ق يمكن تغيير نسبة طوله تم استخدام صندو. والسفلي غيرت عدة مرات لتتم المراقبة الدقيقة للتوزيع الحراري داخل الحيز المغلق مع تغير عدد ريجاردسون تم عرض مخططات . الى ارتفاعه كحقل اختبار لغرض تحديد تأثير عدد ريجاردسون ونسبة الطول الى االرتفاع على شكل الحركة الهوائية داخل الحيز بة الطول الى االرتفاع بثبوت عدد أظهرت النتائج ان معدل عدد نسلت يزداد مع نس. كنتورية لحركة الهواء ومعدل عدد نسلت داخل الحيز في هذا العمل . نقصان عدد ريجاردسون يقلل من الفترة الزمنية بثبوت نسبة الطول الى االرتفاع إنكما . ريجاردسون mailto:nabiljamil58@yahoo.com <4d6963726f736f667420576f7264202d20d3dacf20d8c7e3ed20e6cce3c7e120e6e1edcb35342d203633> al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 4, decmber, (2018) p.p. 5463 design and implementation of an automatic control for two axis tracking system for applications of concentrated solar thermal power saad tami hamidi* jamal abdul-kareem mohammed** laith muhsin reda*** *,**,***department of electromechanical engineering / university of technology * email: saadtami@yahoo.com ** email: jamalshwesh@gmail.com *** email: mohsen.laith12@yahoo.com (received 26 september 2017; accepted 10 january 2018) https://doi.org/10.22153/kej.2018.01.010 abstract the present work presents design and implementation of an automated two-axis solar tracking system using local materials with minimum cost, light weight and reliable structure. the tracking system consists of two parts, mechanical units (fixed and moving parts) and control units (four ldr sensors and arduino uno microcontroller to control two dc servomotors). the tracking system was fitted and assembled together with a parabolic trough solar concentrator (ptsc) system to move it according to information come from the sensors so as to keep the ptsc always perpendicular to sun rays. the experimental tests have been done on the ptsc system to investigate its thermal performance in two cases, with tracking system (case 1) and without tracking system (case 2). the experimental results showed that the average solar radiation falling on the ptsc prototype in the two cases during the same time was 854 and 701 watt/m2, respectively, which means an increase in the solar radiation about 21.8 % when using tracking system. it was found that the average useful heat gain output of solar collector was equal to (376.2, 252.6 watt) for the two cases, respectively, so there was an increase of about 48.9 % when using the tracking system. also, the average thermal efficiency of the ptsc was found to be (20.7, 26.5 %) for the two cases, respectively, which means an increase in the average efficiency by 28% with use of tracking system compared to the fixed case. keywords: arduino, tracking system, solar collector. 1. introduction solar tracking system is very important technology, utilized in the advancement of solar energy applications, especially in the high power solar concentrator which directly transfer the solar energy into electrical or thermal energy. solar tracking precision with high degree is requested to guarantee that the solar collector is capable of utilization the peak solar energy during the daytime. solar concentrator with high power, like parabolic trough, central receiver system, parabolic dish, etc are commonly used in the collecting solar energy applications. the solar trackers follow the track of sun in the horizontal and vertical plane. for the sake of this capabilities, the two axis trackers output higher power than the single axis trackers. roth, et al. [1] designed a two axis solar tracker. this tracker enables to get automated measure for forthright solar radiation with a pyrheliometer. the tracker, in the active mode of operation, utilizes the signal come from a sun detecting linear sensor for controlling the pointing. to direct the instrument platform, two stepper motors were used, making the sunrays falling on the center of the sensor. mamlook, et al. [2] designed and implemented a two axis solar tracker. a saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 55 programmable logic controller plc was used to direct the two axis sun tracking surface. the results were compared with the fixed system case at a surface tilted 32o to the south. initially test measurements pointed out that using the two axis solar tracker would daily elevate the thermal energy collection more than 40%. sungur [3] proposed a dual axis tracking system using formulas to calculate the solar azimuth and altitude angles yearly for an interval of one year. khan, et al. [4] had designed and built a sun tracking system controlled by microcontroller. the tracker senses the sunlight intensity via light dependent resistors (ldrs) to be utilized for driving stepper motors to direct the photovoltaic (pv) panels according to the sun position. pineda and arredondo [5] designed and carried out a two axis sun tracking system. the tracker senses the peak brightness light point in the sky by building a sensor based on a geodesic dome. yousif [6] presented a mechatronic tracking system to follow the sun position depending on four sensors mounted on the solar panel frame. a microcontroller atmega16l was used to control the system. it was found in this study that the output power gain for the two axes solar tracking panel was 31.5% more than the fixed solar panel. sadyrbayev, et al. [7] designed a two axis sun tracking system, with four photo resistors, controlled by lm324n microcontroller. the results showed that the solar tracker system generated a 31.3% higher power. parabolic trough solar concentrator ptsc system for water heating is one of various technologies that excellently confirm solar energy. it, commercially, has been used to generate high pressure steam in the power generation units. also, it could be used in residential and commercial applications with small scale [8]. a small scale generation system could be utilized to generate a process heat with intermediate temperatures reaches 150°c. this temperature is enough for most processes of small factories, like paper production, food canning, sterilization, air-conditioning, refrigeration, etc. the thermal performance of this kind of sun concentrator could be enhanced highly via using one of the sun tracking topologies to concentrate the sunrays on the focal point. basically, the tracking action depends on the axis of the sun beam reflector. a comparative investigation for various modes of tracking had been studied comprehensively in the literature [9,10]. these studies demonstrated that adopting the two axis tracking mechanism will lead to highly increase in the output of the system energy and enhances the contribution in solar energy. it had been described in the literature that the two axis sun tracker dissipates more energy than the single sun tracker because of the additional power control requirement. so, utilizing the two axis technique cannot be considered except if the quantity of produced energy is compensating to the extra elements and cost of maintenance. the aim of this work is to design and implementation of a microcontroller based twoaxis sun tracker to direct the ptsc prototype consciously toward the sun to enhance its thermal performance. an experimental study is carried out on the prototype to evaluate the system thermal performance under the local climate. 2. modes of tracking generally, there are two modes of tracking for the ptsc; single axis tracking and two axis tracking. the two axis tracking follows both of the sun's changing azimuth and sun's changing altitude to focus the parallel sunrays falling on the reflectors perpendicularly on the receiver tube, while the single axis tracking collector is directed to a north-south and follows the sunrays from east to west as shown in fig. 1 (a, b and c). fig .1a. one axis tracker fig.1b. two axis tracker saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 56 fig.1c. azimuth and solar altitude angles. fig. 1. modes tracking system [11]. a tracking mechanism must be reliable and able to follow the sun with a certain degree of accuracy, come back the thermal collector at the end of daytime to its initial location, and also track the daylight when it is cloudy. fixed collectors producing heat or electricity all year round are usually fixed and tilted at an angle equal to the installation site latitude which directly opposing the sun. therefore, the thermal energy accumulated by the solar collector during both summer and winter is less because of the sun's changing altitude. the use of the tracking mechanism elevates the amount of solar energy received by the solar collectors resulting higher output power. initially, the ptsc is a flat plate with linear tube collector placed on the mechanical structure of the tracking system. a solar photovoltaic pv panel might be mounted on the ptsc frame in order to capture the entire light incident on it and converts it into electrical energy required for the tracking action. to stabilizes the solar pv panel electric output and minimizes any fluctuations in the current and voltage values, a charge controller must be directly connected to the pv panel. this controller charges the battery with dc power to its maximum potential. an arduino "microcontroller based board" is used to control all the system processes to be implemented as expected. the arduino takes analogue input from light dependent resistances sensors ldrs and supplies the servomotors with electric power. according to the location of the sun, the arduino controller analyses the signals come from the ldrs. the ldrs' resistance and thus the value of current flowing into the arduino is varying, depending upon which of the two facing ldrs has higher falling light on it. the voltage variation is then converted into input signals driving the motors. two motors are mounted on the ptsc axes, responsible for the dual-axis movement of the tracking system. this causes the ptsc system to tilt in the direction of the ldr causing decrease in its resistance to the lowest value and hence, guarantees fall the maximum sunrays on the ptsc. this noticeably, raises the amount of light energy captured and then transferred into heat energy. 3. hardware implementation of tracking system the tracking system is mainly consisting of two parts, mechanical unit and electrical control unit. 3.1 mechanical unit the mechanical unit of the tracking system consists of fixed part and moving part. the fixed part, called the base, is very important to fix the whole concentrator system on it. the moving part is responsible to provide two types of motions of axial and tilting. the axial motion is employed to move the collector from east to west. this movement is the most effective in the solar tracking system. the movement in this direction is done via using a 12v, 0.1a dc gear box as shown in fig. 2a. the tilting motion is utilized to drive the collector to upper and lower. this movement can be directed by using a 24v, 0.42a dc motor to produce a linear movement. this motor is installed on the moving part of the ptsc system using welding and rotates through bolts as shown in fig. 2b. fig. 2a. dc gear box (axial motion). saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 57 fig. 2b. dc motor movement (tilting motion). 3.2 control unit the control circuit consists of, arduino uno, four light dependent resistances (ldrs) and four channel relay circuit. the arduino uno is a board electronic development; comprise of an electronic circuit open source with a microcontroller based single board. it is programmed by a computer and designed to make the process of utilizing interactive electronics in multidisciplinary projects more easily. four ldrs were used in order to sense the solar radiation and track the movement of the sun and in order to make solar radiation perpendicular to the collector. the ldr resistance depends on the intensity of the radiation falling on them, the more the intensity of the radiation incident, the less resistance, and the lower the intensity of the radiation falling on this resistance, the greater the resistance. this is to take advantage of this feature when changing the value of resistance while changing the intensity of the radiation falling on them. the current flowing through them will change and thereby change the voltage on the resistance according to ohm's law. fig. 3 shows the connection of the ldrs to the arduino uno and 10kω resistance for the purpose of voltage divider necessary for the process of the solar tracking. fig. 3. ldr connecting with arduino uno [12] four channel relay circuit board is used to run the dc motors, used for directing the solar tracking process, via connecting this circuit between the arduino and the motors. the circuit is fed from a 6v dc source. the relay circuit receives the electrical signals coming from the arduino; its work is depending on the software loaded on the arduino microcontroller. to supply the dc motors and the water dc pump in the ptsc system with the required electric power, a 12v, 13w solar pv panel, 12v 12ah sealed lead acid battery, and 12v charge controller should be used. the block diagram in fig. 4 shows operation steps the two axis tracking system. the tracking process can be demonstrated as in the flowchart shown in fig. 5. saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 58 fig. 4. block diagram of the two axis tracking system. fig. 5. flow chart of the two axis tracking process. saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 59 4. design of the solar pv panel the pv panel used as a self dc power supply to fed the two dc motors as well as a water pump without the need to external ac power supply. the pv panel power can be designed depending on the electrical specifications of the motors and water pump used and the time duration of the pv panel through the daytime. the design of the pv panel power was carried out on date 24/3/2016. the operation time was from the sunrise time at 7:03am to sunset time at 5:26pm. the system uses two dc motor to move the ptsc system in the x-axis and y-axis directions, and the 12v dc water pump to recycle the water in the system. the axes motors were permitted to move two seconds every quarter of an hour, through the whole running time. while the water pump was running continuously. table (1) shows current, voltages, power, running time and energy for each motor used in the system. this table represents the rated values of all motors as well as the calculations necessary for designing the pv panel and thus specify the required dc battery and the charge controller. table 1, operation values for the dc motors device current(a) voltage(v) power (w) operation time (hour) consumed energy (w.h) x-axis motor axial motion 0.1 12 1.2 0.02307 0.027 y-axis motor tilting motion 0.42 24 10.08 0.02307 0.232 water pump 1 12 12 10.383 124.6 ʃ 10.42914 124.859 the total pv cell power for this design = ���.����. � .������� � = 11.972 w. the value of the energy required that is enough to supply the tracking system with electricity is: ���.����. ��� = 10.4 a. h. as a result, a 12v, 13w pv panel is enough to be used for charging a 12v, 12ah battery. this will be appropriate for supplying enough electric power to the whole system, without need for external electrical sources. 12v, 10a charge controller could be used to charge the battery. 5. description of the parabolic trough solar collector the ptsc system has major components; reflector, receiver, support structure, working fluid circulation system and tracking system. the reflector was coated with polished aluminium sheet (0.5 mm thickness) having reflectivity of 0.87. a receiver tube of copper material was coated with black zinc having absorptivity of 0.94. thin layer of coating was used so as to minimize the resistance of heat flow through the coat to the pipe and to the working fluid. support structure was built using steel to provide strong mechanical support against high wind speed and harsh environmental conditions. table (2) contains all the dimensional specifications of the ptsc and other parameters. table 2, ptsc system specifications item value / type collector aperture area 1.612 m2 aperture width 1m length-to-aperture ratio 1.755 rim angle 90° receiver diameter 0.025 m tracking mechanism type electro-optical mode of tracking two axes tracking concentration ratio 10.5 focal length 0.250 m 6. experimental setup and instrumentation the experimental setup is shown in fig. 6. saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 60 (a) (b) fig. 6. experimental setup (a) frame, (b) ptsc the experimental setup consists of the ptsc directed by a tracking system and combined with a storage water tank. a tank of 40 litres capacity kept at 0.5 m above the ptsc level to maintain natural flow of working fluid (water) inside the ptsc with close loop and without loading water. in this experiment, the water temperature at inlet, outlet and ambient was measured using thermometers (model: btm-4208sd), sensor type k thermocouple. the water mass flow rate of (20 l/h) has been measured using flow meter. the water has specific heat of 4.2 kj/kg.oc. a solar meter (model: tes-1333r data logging solar power meter) used to measure the intensity of solar radiation during time interval (9am-3pm) according to tilt angle for the ptsc. the ptsc system was directed by the tracking system controlled by an arduino uno controller board. the solar energy radiation sensors are mounted on the ptsc frame and send electric signals to the control circuit. the control circuit converts these signals to specified motors via a drive circuit to direct the ptsc toward the sunlight. these motors, in turn, direct the location of the ptsc when peak sun radiation intensity is received at the aperture. these motors were supplied with the required power from a 12v, 12ah dc battery, charged via a 12v, 13w solar pv panel. the pv panel was designed according to the electrical energy required to feed two dc motors and a dc circulating water pump. the dc motion motors are programmed to move for 2sec after each stop of 15 min during the daily work period, while the water pump works continuously to circulate water through the collector. the measurements of (solar radiation, inlet water temperature to receiver tube, outlet water temperature from receiver tube) were carried out every hour through time daily from (9am-3pm). the useful heat gain (the amount of heating absorbed by working fluid) and the thermal efficiency of the ptsc were determined according to the measurements parameters and they can be obtained from equations (1)-(4): ... (1) ... (2) c inletoutletp ai ttcm )( * − =η ... (3) n ave  = η η)( ... (4) 7. results and discussion fig. 7 shows the variation of the average solar radiation intensity measured in the 26 of april 2016 using solar meter at the fixed case (without using tracking system) of the ptsc and in the 27 of april 2016, the average intensity solar radiation on the same ptsc was measured using two-axis tracking system. the figure shows that the solar radiation increases as day passes from morning to noon and gradually reduces after 12:30pm. in the case of non tracking system, the solar radiation available was in the range of (580 890 w/m2). while it was found that the solar radiation available was in the range of (735 922 w/m2), when using two-axis tracking system. it could be concluded from this figure that the average obtained solar radiation for the fixed collector during interval time daily (9am-3pm) was (701 w/m2), while with tracking system, the average solar radiation become (854 w/m2). this means an increase in solar radiation about (21.8 %) when using tracking system compared with the fixed )(* inltouletpu ttcmq −= n q q u aveu  =)( saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 61 case. fig. 8 shows the effect of solar radiation on receiver outlet temperature of water in the 26 of april 2016 at the fixed case of the ptsc and in the 27 of april 2016 at the tracking case. from the figure, it can be shown that the outlet temperature of the water is gradually raised from morning to noon and gradually reduced after 12:30pm when the outlet temperature is in the range (28.474.3oc). the average value of outlet temperature is 59.5oc through time daily from (9am-3pm) for non-tracking system. in the case of tracking system case, the outlet temperature of water was in the range (36.3-89.5oc) and the average value of outlet temperature through time daily reaches up (73.3 oc). from the figure, it can be concluded that there is an increase in the outlet temperature of the water about (23%). also, it is noted from the figure, that the outlet water temperature rises gradually until 12:30 then begins to drop because of the solar radiation falling on the solar collector decreases and shadow effect of the grooves of the absorber surface which reduces the energy collected and increases thermal losses from the solar collector. also, it was observed that during morning, all radiation was readily absorbed by receiver tube, so mean tube temperature and outlet water temperature increase at minimum heat loss. fig. 9 shows the useful heat gain in the 26 of april 2016 at the fixed case of the ptsc and in the 27 of april 2016 at the tracking case. it can note that the useful heat gain of the solar collector for non-tracking system has an average value reaches up to 252.6 watt through time daily from (9am-3pm), while it reaches to 376.2 watt for tracking system case, through the same time interval. this means an increase of about 48.9% when using tracking system for solar collector compared with the fixed case. fig. 10 shows the instantaneous efficiency of the solar collector during daylight hours in the two cases of tracking. it is noted a gradual increase in efficiency due to cold water at the beginning of the day, this due to a gradual increase of the heat gain until the time 12:30 and after that it starts decrease gradually. from this figure, it is noted that the average efficiency of the solar collector during time daily between (9am-3pm) for non-tracking system reaches up to (20.7%), while, with using tracking system, the average value of efficiency reaches (26.5%). this means the increase of about (28%) when using tracking system for solar collector as compared with fixed system case. fig. 7. solar radiation with time on the (26th and 27th) april 2016 fig. 8. outlet temperature with time on the (26th and 27th) april 2016 fig. 9. useful heat gain with time on the (26th and 27th) april 2016 fig. 10. thermal efficiency with time on the (26th and 27th) april 2016 0 200 400 600 800 1000 1200 8 10 12 14 16 time daily (hr) s o la r ra d ia ti o n ( w /m 2 ) without tracker with tracker 0 10 20 30 40 50 60 70 80 90 100 8 10 12 14 16 time daily (hr) t e m p e ra tu e r o u tl e t (c 0 ) without tracker with tracker 0 100 200 300 400 500 600 700 8 10 12 14 16 time daily (hr) u s e fu l h e a t g a in ( w a tt ) without tracker with tracker 0 10 20 30 40 50 8 10 12 14 16 time daily (hr) t h e rm a l e ff ic ie n c y % without tracker with tracker saad tami hamidi al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 5463 (2018) 62 8. conclusions this paper focuses on the design and implementation of an automatic control for two axis tracking system for the applications of the concentrated solar thermal power. a parabolic trough solar concentrator is proposed to be used for generation a hot water suited for domestic and industrial process heat applications. from experimentation and thermal performance evaluation, the following conclusions are drawn: the incident solar radiation and the mode of tracking system are very important parameters which directly affect the performance of the ptsc. using the tracking system to direct the ptsc to the sunrays enhanced the solar concentrator performance. the concentrator has been generate a hot water up to 89 c0 and raised the average instantaneous efficiency of the ptsc to 23% when using two-axis tracking comparing with the fixed system. nomenclature abbreviation meaning of abbreviation ac aperture area (m2) cp specific heat capacity of water at constant pressure (kj/kg.k) i solar radiation (watt/m2) � ∗ mass flow rate (kg/s) n number of reading measurement qu useful heat gain (watt) qave average useful heat gain (watt) tinlet fluid inlet temperature (°c) toutlet fluid outlet temperature (°c) η thermal efficiency (%) ηave average thermal efficiency (%) 9. references [1] p. roth, a. georgiev, and h. boudinov, “cheap two axis sun following device.” energy conversion and management vol. 46, no. (7-8), 2005, pp. 1179-92. [2] r. mamlook, s. nijmeh, and s. m. abdallah, “a programmable logic controller to control two axis sun tracking system”, information technology journal vol. 5, no. 6, 2006, pp.1083-1087. [3] c. sungur, “multi-axes sun tracking system with plc control for photovoltaic panels in turkey”, renewable energy, april 2009, vol. 34, issue 4, pp.1119–1125. [4] t.a. khan, s.m. shahrear tanzil, r. rahman, s.m. shafiul alam, “design and construction of an automatic solar tracking system”, 6th international conference on electrical and computer engineering icece, 18-20 december 2010, pp. 326-329. [5] f. pineda, and c.a. arredondo, “design and implementation of sun tracker prototype for solar module positioning”, ieee, 2011, pp.2905-2910. [6] a.h. yousif, “study of sun tracking mechanism for photovoltaic panels”, msc. thesis, mechatronic engineering, university of salahaddin-erbil, 2012. [7] s.a. sadyrbayev, a.b. bekbayev, s.o. and z.z. kaliyev, “design and research of dualaxis solar tracking system in condition of town almaty”, middle-east journal of scientific research volume 17, issue 12, 2013, pp. 1747-1751. [8] a. fernandez-garcıa, e. zarza, l. valenzuela, and m. perez, “parabolic-trough solar collectors and their applications. renewable and sustainable energy reviews”, 14, 2010, pp.1695-1721. [9] h. mousazadeh, a. keyhani, a. javadi, h. mobli, k. abrinia, and a. sharifi, “a review of principle and sun-tracking methods for maximizing solar systems output,” renewable and sustainable energy reviews, 13, 2009, pp. 1800-1818. [10] m. koussa, a. cheknane, s. hadji, m. haddadi, and s. noureddine, “measured and modelled improvement in solar energy yield from flat plate photovoltaic systems utilizing different tracking systems and under a range of environmental conditions,” applied energy, vol. 88, no. 5, 2011, pp.1756-1771. [11] national renewable energy laboratory, solar radiation data manual for flat plate and concentrating collectors (1962-1990), u.s. department energy 1992. [12] w. durfee, arduino microcontroller guide, university of minnesota version. oct-2011. )2018( 54-63، صفحة 4، العدد14دالمجلجلة الخوارزمي الهندسية م شكري حميد غضيب 63 الحرارية الشمسية الطاقة لتطبيقات محورينذاُت تبعتَ ةمونظمل آلي محكّ تَ تنفيذو صميمتَ كزةرَّ المُ ***ليث محسن رضا **جمال عبد الكريم محمد *سعد طامي حميدي قسم الهندسة الكهروميكانيكية / الجامعة التكنولوجية ****،**، saadtami@yahoo.com* البريد األلكتروني: jamalshwesh@gmail.com :البريد األلكتروني ** yahoo.com12mohsen.laith@*** البريد األلكتروني: الخالصة ً وزن خفوأ بأقل كلفة وتنفيذها أستخدام مواد محليةمحوريين ب اتذ ذاتية الحركة شمسيتتبع ة ممنظوالعمل الحالي تصميم و مثل يُ . موثوقية بناءو ا ldrوئية من نوع ض اربعة متحسساتمن ( الكهربائية التحكم ووحدات) والمتحركة الثابتة األجزاء( الميكانيكية الوحدات :جزأين من تتألفالتتبع ة ممنظو ُ تأتي م ثنائية المحاور التتبع ةمونظم إنّ ) .التيار المستمرب يعمالن الحركة نوع ذاتي أردوينو الذي يقوم بالسيطرة على محركييننوع دقيق سيطروم ةالئمت ُ لكي الضوئيةلمتحسسات القادمة من ا حسب المعطياتبو الُمركز لتحريك مكافىءال القطعي ز الشمسي ذركّ مع المُ سوية ةعتمجمُ و بشكل الشمسى ركزبقى المُ ت بأستخدام(الحالة األولى) في حالتين: داء الحراريم األيوالشمسي لتق ركزعلى المُ يةرباألختبارات التججريت أعلى االشعة الساقطة من الشمس . عمودياً دائم في يالشمس ركزمُ شعة الشمس الساقطة على الأعدل ن مُ بأ ية المستحصلةبيرَبّينت النتائج التجها. ستخداماعدم عند (الحالة الثانية) و التتبع الشمسي ةممنظو . لقد التتبع ةمونظم% عند استخدام ٢١٫٨اع الشمسي حوالى عش) وهذا يعني زيادة في معدل األ٢واط/متر ٧٠١ و ٢واط/متر ٨٥٤(على التوالي هي الحالتين واط) وهذا يعني زيادة حوالى ٢٥٢٫٦ واط و ٣٧٦٫٢( على التواليهي وللحالتين أعالهلمدة نفسها الشمسي ل ركزمُ للكتسبة ممعدل الحرارة المفيدة ال ُوجدَ بأن ) وهذا %٢٠٫٧و %٢٦٫٥في حالتي التتبع كانت على التوالي ( الشمسي ركزمُ لل الحرارية عدل الكفاءةمُ أن كما وجد بالتتبع و ةمونظمعند استخدام % ٤٨٫٩ .بالمقارنة مع المنظومة الثابتة وراالتتبع ثنائي المح ةموظمنعند استخدام % ٢٨يعني زيادة بمقدار <4d6963726f736f667420576f7264202d20cfdac7c120e6ddd1decf20e6e3cde3cf20c7e1d3d1c7cc38332d203931> co-digestion of shumblan with different wastes as a source for the biogas production duaa a. farhan* farkad a. lattieff** mohammed a. atiya*** * ,***department of biochemical engineering/ university of baghdad ** department of energy engineering/ university of baghdad *email: eng.duaa1990@yahoo.com **email: farkad400@yahoo.com ***email: mohatiya1965@gmail.com (received 13 march 2018; accepted 30 april 2018) https://doi.org/10.22153/kej.2018.04.004 abstract shumblan (sh) is one of the most undesirable aquatic plants widespread in the irrigation channels and water bodies. this work focuses on boosting the biogas potential of shumblan by co-digesting it with other types of wastes without employing any chemical or thermal pretreatments as done in previous studies. a maximum biogas recovery of 378 ml/g vs was reached using shumblan with cow manure as inoculum in a ratio of 1:1. the methane content of the biogas was 55%. based on volatile solid (vs) and c/n ratios, biogas productions of 518, 434, and 580 ml/g vs were obtained when the shumblan was co-digested with food wastes (sh:f), paper wastes (sh:p), and green wastes (sh:g) respectively. no significant changes of methane contents were observed during the anaerobic co-digestion of shumblan with the selected wastes. this noticeable increments of biogas yields proved that this sort of biomass can be utilized as a promising source for bioenergy production of industrial scale because of its economic operation. slight ph variations indicated that the codigestion performance has a good stability operation and no excessive amounts of volatile fatty acid were accumulated. the results also proved that by using co-digestion technology, the biodegradation of shumblan plants could be significantly accelerated supplying greater amounts of biogas yields. moreover, the appropriate co-digestion with other wastes gave the shumblan high digestibility and, hence, there will be no need to prior pretreatment in order to boost the biogas yield. keyword: aquatic macrophytes, shumblan biomass, anaerobic co-digestion, biogas. 1. introduction aquatic plants (cerathophyllum demersum) are one of the biggest challenges facing aquatic life and causing stress freshwater around the irrigation channels. however, the uncontrolled and rapid growth of aquatic plants has also caused other environmental dangers such as foul odor, interference with navigation, deoxygenation of water, water stagnation and increasing mosquito breeding sites [1]. shumblan, as it known in the middle east area, is one of these unwanted plants, which comprise floating, emergent, and submerged aquatic macrophytes. to solve the slow degradation of cellulose and lignin, most previous studies used high ratios of inoculums in order to provide optimum conditions for the successful operation of anaerobic digestion [2-4]. more extended research activities have been carried out using chemical or thermal pre-treatments processes to accelerate the hydrolysis of lignin, which in turn leads to improve the anaerobic digestion conditions toward increase the biomethane yield [5-11]. due to their high content of cellulose and lignin, few researchers have investigated the use of shumblan toward bioenergy production. nonetheless, the literature has recognized several key factors in the biochemical composition of algal biomass affecting biogas production, such as moisture content, ash content, lignin, fraction lipids, al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 4, december , (2018) p.p. 8391 duaa a. farhan al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 8391(2018) 84 carbohydrates and proteins [12]. laura et al. [13] studied the energy recovery from macro-algae (c.demersum) using anaerobic digestion process. her research exhibited that the methane yield was 554 ml ch4/gm vs. in general, the range of aquatic biomass yield is wide, starting from 100 to 500 ml ch4/gm vs, if this biomass yields methane more than 400 – 450 ml ch4/gm vs it provided a high yield and could be viable for industrial use. anaerobic co-digestion may be capable to be a successful alternative for increasing the biodegradability of the macrophytes, which can, in turn, increase the biogas production. co-digestion of shumblan with other wastes gave a more optimal substrate mix in this regard, however, interestingly, a stable process was observed even with a c/n ratio within the range of 20-30 [14]. for adjusting c/n ratio, zehan et al. [15] used activated sludge as a co-waste in co-digestion with macrophytes biomass. however, no study has investigated the potential of the co-digestion of macrophytes biomass with other types of co-substrates such as food, green or paper wastes. this study explored an alternative way to employ anaerobic digestion of shumblan biomass without chemical or thermal pretreatments and could be feasible to the bioenergy plant operation. by using appropriate alternative technology, codigestion of aquatic macrophytes biomasses with other wastes maybe presented a promising method for reducing effectively the operation cost and increasing the volumetric biogas yield, based on volatile solid concentrations and c/n ratios. the selected wastes for co-digestion with shumblan were food waste, paper waste, and green waste as well as the cow manure as inoculum. 2. materials and methods 2.1 feedstock and inoculum free-floating shumblan plants were harvested locally from irrigation channels in the university of baghdad. the collected species were dried in the sun for two weeks to obtain biomass products for the proposed biogas batch experiments. then, the biomasses of shumblan were shredded using electric blender up the sizes of particles of 5 mm were formed by using molecular sieve. based on the volatile solid and c/n ratios, food wastes, paper wastes, and green wastes were added to the shumblan and compared their biogas output with that yield from the shumblan alone. as inoculum, cow manure was blended with the feedstock in a ratio of 1:1 (based on vs). it was used in its dry state after 7 days of storage at 30oc to minimize its content of biodegradable materials that probably influences the biogas results [16]. total solid (ts) and volatile solid (vs) were determined according to the standard method aoac 2000 [17] and c/n contents were measured by element analyzer equipment (table.1). table1, characteristics of the used wastes sample symbol ts% vs% vs/ts% c/n shumblan biomass sh 83.6 49.9 59.68 14 food waste f 31 27.2 87.7 24 green waste g 19 15 78.95 25 paper waste p 92.2 79 85.7 136 cow manure cw 32 23 72 16 to accelerate the degradation of shumblan, designed and recommended loadings of shumblan with the other wastes that were mixed for anaerobic co-digestion were reported in table.2. loading rates of high and low volatile solid concentrations were treated taking into account the adjusted c/n values. as stated earlier, the same ratios of cow manure were blended to the co-digested substrates as shown in table.2. table2, mixing ratios of co-digestion of shumblan. sample mixing ratio vs (gm/l) cow manure vsgm /l c/n sh:f 1:1 6.5 6.5 22.02 sh:f 5:1 15.6 15.6 17.81 sh:p 2:1 6.5 6.5 21.67 sh:p 3:1 20.8 20.8 19.97 sh:g 1:2 6.5 6.5 19.17 duaa a. farhan al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 8391(2018) 85 2.3 experimental design as shown in the figure. 1, 500 ml batch reactors were used as batch digesters to carry out the anaerobic digestion tests under mesophilic conditions. after blending the required amounts of inoculum and substrate, each digester was filled with water up to 400 ml and was labeled with its composition. then the digesters were purged with nitrogen gas for 5 min to provide the anaerobic condition before it was tightly closed with their covers. the digesters were conducted at 40oc using a water bath shaker in a constant vibration rate of 80 rpm. biogas measurement was carried out using water displacement method (fig.2). the ph value of each digester was recorded before and after each experiment with a ph meter (wtw co., germany, inolab 7110). all the samples were duplicate and the results given were mean values. to measure the methane content in the generated biogas, gas analyzer was used (biogas5000, england, g502483). fig. 1. used digesters in this work. fig. 2. biogas volumetric measurement device. 3. results and discussion 3.1 anaerobic digestion of the shumblan the results of biogas yield for three different volatile solid concentrations of shumblan biomass are shown in fig.3. the results showed that the sh at vs concentration of 6.5, 25, and 50 (gm/l) generated cumulative biogas of 378, 277, and 170, respectively. that is, the lower the volatile solids, the greater the biogas production. these results confirm that shumblan can be a feasible source for biogas extraction when a proper volatile solid concentration was used. after 15 days of digestion time, a significant increase in biogas rate from shumblan was observed due to its compositions of lignocellulose and lignin that needed a longer time to degrade completely [18]. however, it was observed that the generation of biogas was mostly completed in range between 70 and 90 days. this difference in digestion time can also be attributed to the lower water content, which is necessary for the microorganisms to break down the cellulose and lignin into small soluble materials [19]. this result (378 ml/gmvs) was slightly lower than 417 ml/gmvs obtained with macrophytes algae by pugliese et al. [20]. pastare et al. [21] reported higher biogas production (471 mlch4/gmvs) with higher c.demersum/inoculum ratio of 1:10. this high biogas produced may be due to a higher amount of inoculum [21]. thus, using different c.demersum/inoculum ratios led to a significant variance of biogas production, since the kinetic behavior of the inoculum was different with the higher concentration presented in the substrate. table 3 shows the results of ph values and methane composition for each sample. it was found that the values of ph were not changed significantly before and after each digestion process. this indicated that there was no accumulation of excess volatile fatty acid (vfa). moreover, this stability of ph during the digestion process provided an excellent environment for methanogenic bacteria performance. table 3 also demonstrated that the composition of methane content ranged between 55 to 64 %. the highest methane content was not synchronized with highest biogas production. the highest methane composition was generated with highest vs content. this can be attributed to the excess formation of acetate, which is main source for methane production. duaa a. farhan al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 8391(2018) 86 fig. 3. accumulative biogas production of three different concentrations of shumblan. table 3, ph values and methane compositions of shumblan sh (gm vs/l) phi phf ch4 % 6.5 8 8.5 55 25 7.5 7.24 54.4 50 8 7.58 64 3.2 anaerobic digestion of the additive wastes the results of the biogas production for food, green, and paper wastes were curved in fig. 4.3 together with shumblan for comparison. all experiments were run at a vs concentration of 6.5 gm/l. a maximum biogas production was at the food waste after 41 days (1070 ml/gmvs); this was due to the larger water soluble materials (sugars, proteins, lipids) rathere than complex compounds (cellulose and lignin). however, the food waste digester started the biogas generation on the 4th day of the digestion time. on the 26th day, there was a sharp increase in the biogas production rate, indicating that an increase in the activities of the methanogenic bacteria. green and paper wastes delivered biogas rates of 333 and 97 ml/gmvs after a digestion time of 61 and 70 days, respectively. green wastes showed a slightly lower cumulative biogas production to that of shumblan. in contrast, the biogas released from paper wastes proved lower results than those of the other substrates. paper waste had less biogas productivity because paper waste containing cellulose, hemicellulose, pectin and lignin are very difficult to biodegradable and their hydrolysis step takes longer time [22]. it was noted that the paper waste released a significant biogas rate after 33 days of the digestion time. hence, the hydrolysis step is often considered as the rate-limiting step when utilizing these kinds of substrates [23]. although shumblan wastes contain lignocellulose material, as it exists in the green and paper wastes, the productivity of its biogas also was higher during the same period. fig. 4 accumulative biogas production for food, paper, green and shumblan wastes this result can be attributed to the higher content of lipids and rich nutrients such as carbon, nitrogen and phosphorus, which are essential nutrients for anaerobic microorganisms [24]. methane content and ph values for each waste are listed in table 4. it can be seen that the food waste have highest percent of methane followed by that of green, shumblan, and paper wastes. this is because; the quality of the biogas depends on several parameters such as the composition of the treated waste, c/n ratio, and the lignin content [25]. in general, food waste has larger water soluble materials such as sugar, proteins, and fats than those available in the materials of the origin plant. consequently, the biodegradation of the organic wastes would be shifted toward acetic acid formation rather than toward generation of co2 and h2 gases during acetogensis stage [17]. as in the case of shumblan, phi and phf values were kept in a slight differences, indicating that the anaerobic digestion was performed under stable conditions. table 4, ph and methane composition values of used substrates sample gm vs/l phi phf ch4 % f 6.5 8 8 70 p 6.5 7.5 7 50 g 6.5 7.5 7 56.5 sh 6.5 8 8.5 55 duaa a. farhan al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 8391(2018) 87 3.3 co-digestion of the shumblan with food wastes the results of the co-digestion of shumblan with food waste are depicted in fig.5. accumulative biogas productions from sh:f substrates with 1:1 ( 6.5 gmvs/l) and 5:1 (15.6 gmvs/l) mixing ratios were 518 and 77 ml/gmvs, respectively. unexpected divergence in rates of biogas production were observed for both sh:f mixtures. compared with the digestion of sh alone, the biogas yield from sh:f (1:1) was higher by 36% . as for the sh:f (5:1), the biogas yield was less by 86%. although the high volatile solid content of sh:f mixture shows a lower biogas yield, the presence of excess lignocelluloses and lignin can significantly affect the anaerobic digestion of the sh biomass. on the other hand, adjusting c/n ratios resulted in an increase in biogas yield from sh:f (1:1) compared to sh alone which indicated a higher microorganism activates was performed. however, there was no significant change in ph values indicating that no excess amounts of fatty acids were formed during acidogensis step (table.5). as for the digestion time, the results show that both two mixtures needed lower time compared to shumblan. the fast hydrolysis step for the sh:f (1:1) sample and the low water content for the sh:f (5:1) sample was the main reason for this variable digestion time. table. 5 showed that in all the experiments the methane content was between 53-56% of the total biogas released. these values were lower than obtained by the digestion of food waste alone and close to that obtained by the shumblan alone. this may be attributed of releasing additive gases (co2, nh3 and h2s) during the digestion process when the shumblan had co-digested with the food wastes. koyama et al. [26] reported that in co-digestion experiment of submerged microphyted and food wastes, more biogas released as the food wastes increased. under various macrophyte to food waste ratios, he demonstrated that the addition of the food waste dropped ph of the sample, which provided better conditions for the digestion process, but at the same time food waste is inhibited due to the release of dissolved lignin. krustok et al. [27] established a co-digestion experiment for microalgae with food waste. they showed that replacement of 12% food wastes with microalgae released biogas higher than the proportion of 25 and 37%. this decrease could be caused due to the consumption of food wastes as bacteria feed at the same time the algal biomass converted to biogas. fig. 5. accumulative biogas production from sh:f substrates table 5, ph values of sh:f substrates sample wt. of vs phi phf ch4% sh:f (1:1) 6.5 7.2 7.93 53 sh:f (5:1) 15.6 7.02 7.63 56 3.4 co-digestion of the shumblan with paper wastes the biogas yields during the co-digestion of the shumblan with paper waste are shown in fig.6. accumulative biogas productions from sh:p substrates with 2:1 ( 6.5 gmvs/l) and 3:1 (20.8 gmvs/l) mixing ratios were 434 and 158 ml/gmvs, respectively. both sh:p (2:1) and sh biomass showed comparable behavior of biogas yield during the first 18 days of digestion time, but less for sh:p (3:1). at the end of the digestion, the biodegradability of sh:p (2:1) increased by 15% than that of the shumblan at the same concentration of the volatile solid (6.5 gm/l). sh:p (3:1) released biogas yield less by 74% than that of the shumblan. this variance in biogas yield can be attributed to the high cellulose materials in paper wastes, which need high amounts of water to degrade them. this demonstrates that the use of the high-level amount of the paper wastes affected the biogas production in spite of adjusting its c/n ratio. moreover, it is concluded that it is difficult to optimize the biogas production from the shumblan biomass depending on the c/n ratio alone. digestion time results show that less time is required for the sh:p 2:1 (56 days) compared with shumblan (70 days) due to the best adjusting of its c/n ratio. for the case of the sh:p (3:1), it can be seen that longer time (90 days) is still required because of the slow hydrolysis step. ph values were not changed significantly confirming the stability of the co-digestion operation when the paper waste was added to the shumblan (table. 6). a slight decrease of methane duaa a. farhan al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 8391(2018) 88 content was observed in released biogas for both sh:p substrates compared with sh, indicating that the methanogenic bacteria are most likely inhibited due to the formation of ammonia [17]. the average methane contents of the biogas yield from sh:p at the two 2:1 and 3:1 were 51% and 49%, respectively. this lower methane content of the sh:p indicated that there was an inhibition to methanogenic microorganisms. no literature surveys are available to compare the result of this study with them. fig. 6. accumulative biogas production from sh:p substrates table 6, ph values of sh:p substrates sample wt. of vs phi phf ch4 % sh:p (2:1) 6.5 7 8 51 sh:p (3:1) 20.8 7 7.99 49 3.5 co-digestion of the shumblan with green wastes fig. 7 shows the results of biogas yield rates for the co-digestion shumblan with green wastes (sh:g). it can be seen that the biogas production of sh:g (2:1) substrate rapidly released from day 2. higher biogas production rate with sh:g substrate was observed probably because green waste is more easily degradable than the shumblan. after 70 days of digestion time, the biogas yield of sh:g was 580 gmvs/l, which were remarkably higher by 53% than that from the shumblan alone, confirming this co-substrate (green waste) is highly applicable for the co-digestion with shumblan. koyama et al. [28] reported that the intracellular soluble organic matters (e.g.cytosols) exist in the cell wall of lignocellulosic materials maybe responsible for this increase in the biogas yield. however, adjusting c/n ratio provided a better nutrients source for the microorganisms to be more active for the biogas recovery. the biogas yield of sh:g was relatively high as compared with the other substrates. the ph values before and after the digestion process remained almost constant between 7 and 7.5 indicating the stability of the digestion operation and this little increase in ph value can be attributed to the release of ammonia. in this work, all experiments showed a slight increase of ph between 7 and 8 because of the increase of ammonia as a result of hydrolysis from shumblan and co-substrates. on the other hand, methane conversion (54%) in this experiment was in a close range to that obtained from the shumblan alone. it is worth to mention that the order of the biogas yield rates can be arranged in the following sequence; sh:g > sh:f > sh:p > sh. this increase in biogas production among these mixtures can be also interpreted due to the variances in vs/ts ratios and to the origin nature of the added substrates. the results of this work obviously show that the addition of food, paper, and green wastes improves the feasibility for anaerobic digestion of the shumblan. fig. 7. accumulative biogas production of sh:p and sh 4. conclusion the results showed that the addition of food, paper, and green wastes to the shumblan significantly increased the biogas production up to 53% as in the case of sh:g co-digestion. moreover, anaerobic co-digestion of shumblan could be applicable without the need to use other pre-treatment operations. sh:g has the highest biogas yield followed by that of sh:f and then sh:p. based on the vs, the biogas yield decreased with increasing the vs concentration. based on biogas quality, the shumblan waste and its mixtures showed similar results compared to the shumblan alone. the approached constant of ph values for all duaa a. farhan al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 8391(2018) 89 the co-digestion experiments indicated good stability of these processes. generally, the study demonstrated that the co-digestion of shumblan and food, paper, and green wastes could be a competitive option for improving the volumetric biogas yield. 5. references [1] escobar, m. m., voyevoda, m., fühner, c., & zehnsdorf, a. 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[22] ofoefule, a. u., nwankwo, j. i., & ibeto, c. n. (2010). biogas production from paper waste and its blend with cow dung. advances in applied science research, 1(2), 1-8. duaa a. farhan al-khwarizmi engineering journal, vol. 14, no. 4, p.p. 8391(2018) 90 [23] taherzadeh, m. j., & karimi, k. (2008). pretreatment of lignocellulosic wastes to improve ethanol and biogas production: a review. international journal of molecular sciences, 9(9), 1621-1651. [24] montingelli, m. e., tedesco, s., & olabi, a. g. (2015). biogas production from algal biomass: a review. renewable and sustainable energy reviews, 43, 961-972. [25] bagudo, b. u., dangoggo, s. m., hassan, l. g.and garba, b. (2010). influence of catalyst (yeast) on the biomethanization of selected organic waste materials. nigerian j. of basic and applied sci 2010;2: 209-212. [26] koyama, m., nakahashi, n., ishikawa, k., ban, s., & toda, t. (2017). anaerobic codigestion of alkali-pretreated submerged macrophytes and acidified food waste for reduction of neutralizing agents. international biodeterioration & biodegradation, 125, 208213. [27] krustok, i., nehrenheim, e., odlare, m., liu, x., & li, s. (2013). cultivation of indigenous algae for increased biogas production. in international conference on applied energy, icae2013, pretoria, south africa. [28] koyama, m., yamamoto, s., ishikawa, k., ban, s., & toda, t. (2014). anaerobic digestion of submerged macrophytes: chemical composition and anaerobic digestibility. ecological engineering, 69, 304309. )2018( 8391، صفحة 4العدد، 14دجلة الخوارزمي الهندسية المجلم دعاء علي فرحان 91 الحيوي الغاز إلنتاج كمصدر المختلفة النفايات مع (الثنائي) للشمبالن المشترك الهضم ج***محمد عبد عطية السرا **فرقد علي لطيف ن*دعاء علي فرحا جامعة بغداد كلية الهندسة الخوارزمي/ /قسم الهندسة الكيميائية االحيائية***،* جامعة بغداد كلية الهندسة/ / قسم هندسة الطاقة** yahoo.com1990eng.duaa@البريد االلكتروني: * yahoo.com400farkad@البريد االلكتروني: ** gmail.com1965mohatiya@البريد االلكتروني: *** لخالصةا طة سامرغوب فيها المنتشرة في قنوات الري واالجسام المائية. يركز هذا العمل على تعزيز امكانية الغاز الحيوي بوالالشمبالن احد النباتات المائية غير يعد از الحيوي باستعمال معالجة كيميائية او حرارية كما في الدراسات السابقة. اعلى قيمة النتاج الغ ةخلط الشمبالن مع انواع مختلفة من المخلفات بدون استعمال اي ً لقاحبوصفه مع سماد البقر ٣٧٨ملم/غم متطاير الشمبالن النسب الصلبة المتطايرة و إلى واستناداً . ٪ ٥٥ الحيوي الغاز من الميثان محتوى . كان١:١بنسبة ا عندما تم خلط الشمبالن مع مخلفات االطعمة ملم/غم متطايراً ٥٨٠ و ، ٤٣٤ ، ٥١٨ الحيوي الغاز إنتاج على الحصول النتروجين ، تمنسبة الكاربون الى رى. الزياداتوالورق والحشائش ،على التوالي. لم يالحظ اي تغيير في محتوى الميثان خالل عملية الهضم الالهوائي المشترك للشمبالن مع المخلفات االخ النتاج الطاقة على النطاق الصناعي بسبب عملها االقتصادي اً مصدربوصفه الملحوظة في انتاج الغاز الحيوي اثبتت امكانية استخدام هذا النوع من الكتلة الحيوية الى اثبتت النتائج كما حماض االمينية. اشارت التغيرات الطفيفة في قيمة الرقم الهيدوجيني الى ان عملية الهضم الالهوائي مستقرة جيدا ولم يحصل تراكم لالو الهضم االهوائي ان ،ذلك نع فضالً استعمال تقنية الهضم الالهوائي يؤدي الى تسارع تحلل النبات بشكل كبير ممايؤدي الى زيادة في انتاج الغاز الحيوي . ان المشترك مع المخلفات االخرى يعطي للشمبالن قابلية هضم عالية مما يؤدي الى تعزيز في انتاج الغاز الحيوي. al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) thermo-rheological investigation and modeling of the shear viscosity of polypropylene above the melting temperature ammar al-baldawi* shatha k. muallah** olaf wünsch*** *,***institute of mechanics / university of kassel / kassel / germany **department of biochemical engineering / al-khawarizmi college of engineering / university of baghdad *email: ammar@uni-kassel.de **email: shatha_engr@yahoo.com ***email: wuensch@uni-kassel.de (received 13 may 2013; accepted 3 december 2013) abstract the increasing use of polymeric materials in the daily life, leads to challenges in the processing industry to deliver high performance materials with affordable terms. however, new processing techniques lead to high costs. in order to reduce processing costs it is necessary to understand the non-newtonian behavior of the polymers in their molten state to be able to simulate the processes before the construction of the plants starts. here the shear thinning behavior of the viscosity of polymeric melts is essential. thus, this paper deals with the experimental investigation of the thermorheological behavior of the viscosity of one of the most used polymers (polypropylene) over a wide range of temperatures and shear rates. furthermore, a modeling approach of the viscosity via a generalized non-newtonian law combined with an arrhenius model is done. keywords: polymer melt, polypropylene, thermo-rheological modeling, generalized newtonian fluid, cross model, shear viscosity, shear thinning behavior, rotational rheometer, high-pressure capillary rheometer, 1. introduction polymer processing techniques are divided into two fields. the first is the polymeric material production techniques e.g. deriving polymeric ingredients from by-products formed during the refining process of crude oil. however, this field is a chemical motivated field where the polymeric materials are investigated in their macroand microscopic ingredients. in case of polypropylene (pp) the macromolecules are set together by monomer propylene. the long molecule structures of pp are made of olefin chains and the small molecule structures are broken olefin structures and are bounded together by covalent bonding mechanisms. however, it is well known that the physical and mechanical properties of polymers are strongly influenced by the size or length of the chains. e.g. increasing the chain length leads to enhancement of the melting temperature point due to more joints between the chains [1,2]. the chemical bonding mechanism and the ingredients of pp are shown in the chemical structural equation in fig. 1. fig. 1. polymerization of propylene to polypropylene[3]. mailto:shatha_engr@yahoo.com ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 13 the melting point of polypropylene ranges from 160°c to 171°c, for perfectly isotatic pp the melting point is 171°c and for commercial isotatic pp it ranges from 160°c to 166°c. however, these melting points are an advantage of pp in comparison with the polycarbonates family, where the melting point is in the region of 240°c. the properties and the fields of application of pp are given in table 1. table 1, benefits and areas of application of pp [1-3]. usage benefits of pp areas of application  act as an excellent insulator  electric industry  microchip industry  very low moisture absorption (water resistant)  the surface structure is antibacterial  color miscible  non-toxic  clinical use  home facilities  packaging industry  toys industry  law density  high toughness  stiffness and elastic flexibility at high temperatures  security devices in automobile and aircraft industry  lightweight technologies independent of all pros and cons of the chemical and physical properties of pp the material characteristic needs to be understood. therefore the second field is the knowledge about the thermo-rheological properties of pp. this is very important for the process engineers. producing usual pp components such as mentioned in table 1 need to be understood in such a way that the preliminaries experiments of the processes are bounded due to the reduction of cost and time. the rheological quantities are introduced in order to characterize the rheological behavior of pp as all other non-newtonian fluids or respectively as non-newtonian polymer melts [4-6,8,9]. however, a lot of complex phenomena are investigated in the field of non-newtonian polymers such as: shear thinning, elastic and relaxation, elongation hardening and softening and normal stress differences behavior, refer to [20,21]. these phenomena take place in the context of simulation procedures of complex flow simulation of such processing techniques. the main information indeed is the knowledge about the shear viscosity since it is possible for small deformation rates to take the information about the elongation viscosity with the so-called trouten-ratio [7]. furthermore, it is possible to introduce a time parameter with the help of a generalized newtonian model. it is possible to introduce big changes of the so-called zero shear rate viscosity by varying the temperature. in polymer processing this can help to save energy, since low pressure gradients in engineering apertures are needed. therefore, this paper deals with the thermo-rheological investigation of the shear viscosity of pp in a temperature region of 170°c to 300°c and a shear rate of 0.001 1s to 1000 1s . these regions are usually used in processing engineering. 2. experimental investigation the experimental work was done with two different types of rheometer systems. the first system is specialized for low shear rates and gives little error oscillations during the moment measurements. this system is the ar-g2 rotational rheometer form the ta-instruments company as shown in figure 2. for controlling the friction of the system during the rotation, the use of the ta-instruments calibration software is preferred. for the preparation of the specimens the use of the heating oven and the camera was helpful. however, the preparation is done via setting the desired measurement temperature slowly, for example setting the temperature above 170°c means heating the specimen till 50°c under nitrogen atmosphere (10 l/min) with a waiting time of 10 min, then increasing the temperature by c10t  and waiting for 1 min at each of the steps till 170°c. by increasing the measurement temperature e.g. above 200°c, it is preferred to increase the waiting time, this also helps as a ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 14 drying process of the polymer specimen. in the case of polypropylene the drying process needs to be increased at the very beginning of the measurement processes for high temperatures. this leads to a longer waiting time at a temperature of 50°c. fig. 2. ar-g2 (ta-instruments) rotational rheometer with the used plate-plate geometry. in this work the so-called plate-plate geometry is used to introduce a very homogeneous specimen form, as shown in figure 3. here some measurements where benchmarked with the coneplate geometry. all benchmark measurements showed good agreements. the measurement of the viscosity is obtained from the given angle movement velocity with h r  …(1) and the measured moment m with the shear stress  and the given shear viscosity can be calculated with     3 2 r m  . …(2) fig. 3. plate-plate (a) and cone-plate (b) system, where m is measured and is the given angle movement of the upper plates (r radius of the plate and h is the height of the specimen, note 1ˆ h ), refer to [7]. in case of the high shear rates viscosity measurements the use of the high-pressure capillary rheometer is important. figure 4 shows the principle of the measurements. plate-plate geometry heating oven (-10°c to 600°c) camera and light ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 15 fig. 4. sketch of a capillary rheometer. the fluid is pressed with a piston-cylinder system through a capillary tube. the difference of the pressure p between inlet and outlet of the tube is measured in connection with the volume flux v , see therefore figure 4 and 5. these quantities are used to calculate two new variables, a weighted flow rate v d q  3 32   …(3) and the wall shear stress l dp w 4   …(4) the correlation between the flow rate and the wall shear rate under stationary condition in a tube results from the balance of momentum and reads   w dq w    0 24  . …(5) integration by parts leads to the real shear rate at the wall q d qdd w w              )(log )(log 3 4 1 2    …(6) this relation is called rabinowitsch-weissenbergcorrection [19]. afterwards the shear viscosity is calculated by w w      . …(7) the used apparatus is shown in figure 5. around the specimen cylinder is attached a heating oven for temperatures between 20°c and 400°c. furthermore, at both ends of the cylinder pressure and temperature sensors are located. fig. 5. rheograph 20 (rg20 göttfert) high-pressure capillary rheometer. for each rheometer a minimum of 3 experiments are made for the same temperature. the results are shown in figure 6 and 7, where the viscosity (measured for low and high shear rates) is shown over the shear rate for a given temperature. the measurements are noted with r for rotational rheometer and k for high-pressure capillary rheometer. as shown in the figures there is a good agreement between multiple independent measurements at the same heating oven pressure and temperature sensor transmission piston specimen cylinder ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 16 temperature. furthermore, the measured viscosities are obtained more successfully in the transition domain of the rotational rheometer compared with the capillary rheometer. it is also shown that the capillary rheometer has some troubles to measure the viscosity at low shear rates due to oscillations. additionally in the case of a temperature above 280°c and 300°c the viscosity starts to be low and the measurement via a rotational rheometer has its limitation, because here the polymer melt starts to flow out of the geometry. this leads to a decrease in the viscosity measurements as shown in figure 7. fig. 6. measurements of the shear viscosity of pp at a temperature region of 170°c to 260°c. 1 100 10000 1000000 0.001 0.01 0.1 1 r1_pp 170°c r2_pp 170°c 1 100 10000 0.001 0.1 10 1000 r1_pp 180°c r2_pp 180°c k1_pp 180°c k2_pp 180°c k3_pp 180°c k4_pp 180°c k5_pp 180°c k6_pp 180°c k7_pp 180°c 1 100 10000 0.001 0.1 10 1000 r1_pp 200°c r2_pp 200°c r3_pp 200°c k2_pp 200°c k3_pp 200°c k4_pp 200°c k5_pp 200°c k6_pp 200°c 1 100 10000 0.001 0.1 10 1000 r1_pp 220°c r2_pp 220°c r3_pp 220°c k1_pp 220°c k2_pp 220°c k3_pp 220°c k4_pp 220°c 1 100 10000 0.001 0.1 10 1000 r1_pp 240°c r2_pp 240°c r3_pp 240°c r5_pp 240°c k1_pp 240°c k2_pp 240°c k3_pp 240°c 1 100 10000 0.001 0.1 10 1000 r1_pp 260°c r2_pp 260°c r3_pp 260°c r4_pp 260°c k1_pp 260°c k2_pp 260°c ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 17 fig. 7. measurements of the shear viscosity of pp at a temperature region of 280°c and 300°c. 3. modeling approaches beside the experimental investigation, it is well known that the increasing use of computational fluid dynamic packages (cfd) are used to understand the complex polymer melt flow in complex mechanical and processing devices which needs some usable material modeling techniques. for this aim it is essential to model the behavior of the polymeric material precisely. however, commercial cfd packages deliver only some linear models (e.g. the newtonian model: a linear viscose body model for viscose fluids [11,12]). for incompressible fluid flow simulations all cfd packages start from the continuity and momentum equation [7] ,0 v …(8)   . t fsvvv           …(9) here v is the eulerian velocity field,  denotes the fluid density, s is the cauchy stress tensor and f are body forces. in order to simulate the accurate material behavior the stress tensor s needs to be modeled. furthermore, to introduce the shear dependency in the material model in order to model the experimental observed shear thinning behavior it is possible to use a so-called cross model. the cross viscosity model is a good generalization of the constant newtonian viscosity. doing so leads to the well known structure of the cauchy stress tensor s for the incompressible fluids, refer to [8,10,13,14] .t1s  p …(10) here, p denotes the static pressure and t is the viscose stress tensor and can be written as ,),(2 dt    …(11) where the viscosity depends on the shear rate  and the temperature  . furthermore, d   t .2/1 vv  is the symmetric part of the gradient of the eulerian velocity field v . however, to reproduce the material behavior ),(   needs to be fitted on the measurements. in this work the generalized cross model [16,17] with an arrhenius type temperature dependency was used ,: ))((1 )( ),( 0 dd            n …(12) the zero shear rate viscosity )( 0  is given by the exponential arrhenius model . 15.273 1 15.273 1 )()(0                     kkr e exp r0 0 rr …(13) in eq. (13) )( rr  is a reference viscosity at a reference temperature. however, the reference values in this work are set at the minimum measurable temperature with the experimental setup at r = 170°c  spa19000)( rr  . 1 100 10000 0.001 0.01 0.1 1 10 100 r1_pp 280°c r2_pp 280°c r3_pp 280°c k2_pp 280°c k3_pp 280°c 1 100 10000 0.001 0.01 0.1 1 r1_pp 300°c r2_pp 300°c r3_pp 300°c ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 18 furthermore, mol/kj70000e0  and  kmol/j314.8r0  are the activation energy of pp and the universal gas constant. the time function )( is modeled by the same type of arrhenius model with the reference value 1 rr 85.0)(  s , see [15-18]. . 15.273 1 15.273 1 )()(                     kkr e exp r0 0 rr …(14) in case of fitting the cross model without the arrhenius models of eq. (13) and (14) the results are shown in fig. 8 and the parameters are given in table 2. fig. 8. averaged experimental results (symbols) and fitted lines with the cross model on each temperature step without using the arrhenius models. table 2, parameters of the cross model obtained for each temperature step. note that the * noted parameters are estimated due to the lake in the measurements, since high shear measurements were not done for all temperatures.  0  n 170 19000 0.85 0.68* 180 12500 0.45 0.68 200 8000 0.33 0.68 220 4000 0.15 0.68 240 1800 0.038 0.68 260 1000 0.025 0.68 280 600 0.019 0.68* 300 250 0.012* 0.68* both the zero shear viscosity and the time constant depend highly on the temperature. the exponent n is constant. using the arrhenius models leads to a good agreement with the cross parameters in table 2, this fact allows to use the viscosity model given in eq. 12, as shown in table 3 and figure 9. table 3, parameters of the cross using the arrhenius models.  0  0/ n 170 19000 0.85 4.474e-5 0.68 180 12493 0.5589 4.474e-5 0.68 200 5696.16 0.25483 4.474e-5 0.68 220 2767.99 0.12383 4.474e-5 0.68 240 1422.91 0.06366 4.474e-5 0.68 260 768.901 0.0344 4.474e-5 0.68 280 434.404 0.01943 4.473e-5 0.68 300 255.402 0.01143 4.475e-5 0.68 10 100 1000 10000 0.001 1 1000 pp 170°c pp 180°c pp 200°c pp 220°c pp 240°c pp 260°c pp 280°c pp 300°c cross 170°c cross 180°c cross 200°c cross 220°c cross 240°c cross 260°c cross 280°c cross 300°c ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 19 fig. 9. the arrhenius models used for fitting the zero shear rate viscosity and the time parameter  of the cross model. a deeper analysis of the experimental data in table 3 shows, that the quotient of the time function and the zero viscosity for each temperature is constant. then it is possible to rewrite the cross model (12) in the form        .10474.4 )( 1 1),( 5 0 00 constc c n                 …(15) with this relation the shear behavior of pp for all melt temperatures can be described by a master viscosity function [18] in dependence of the product of shear rate and the related temperature dependent zero viscosity plotted black in figure 10. fig. 10. the master viscosity curve (black line) of the measured temperature and shear dependent viscosity. note that here the cross model curves where used from figure 6. 200 4200 8200 12200 16200 170 220 270 experiment model 0 0.2 0.4 0.6 0.8 1 170 220 270 experiment experiment model ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 20 as shown in figure 10 the mastered cross model is able to reproduce the viscosity function in the whole temperature interval with one constant, see therefore table 3. this approach allows the modeling and simulation of isothermal production processes with a dimensionless parameter set. furthermore it deliver first information and predictions of the thermo rheological process simulation. 4. discussion and conclusions in order to characterize the thermo-rheological behavior of polymer melts in a wide area of shear rates it is necessary to use a multi set of experimental stations, e.g. the rotational rheometer and the high-pressure capillary rheometer. furthermore, it is important to make the measurements in a nitrogen atmosphere in order to avoid oxidation processes of the polymer molecules. in this work the use of 10 l/min volumetric flow rate of nitrogen shows good results and it was not necessary to increase this rate. for high temperatures the high-pressure capillary rheometer was not able to measure the shear viscosity due to the fact of low zero shear rate viscosity. however, it is very hard for the rotational rheometer to get better results, due to the fact of drifting phenomena out of the plateplate geometry. it is also supposed that polymer melts show the same softening e.g. shear thinning behavior for high shear rates even at different temperatures. in order to characterize the thermo-rheological behavior it is important to understand the socalled preloads techniques of the rotational rheometer to introduce a stationary shear flow in the polymer sample. doing so leads to better results at the very beginning of the measurements or in e.g. at very small shear rates. furthermore, for measuring the gap between the rotational rheometer and the capillary rheometer it is important to know that the capillary rheometer measurements takes incredible experimental time and the fluctuation of the zero shear rate viscosity. due to these facts it is more useful to start the capillary measurements in a shear rate region above 5[1/s]. by increasing the shear rate, the capillary rheometer starts to return good results without oscillating. the modeling approaches for isothermal and non-isothermal processes can be used to provide a close representation of the measurements. in fact it is possible to use the mastered cross model both for isothermal and non-isothermal processes. in case of using the arrhenius model for the temperature dependent zero viscosity it is important, beside the continuityand momentum equation (8) and (9), to take the energy equation into account. it is well known that polymeric melt shows also so-called elongation hardening and softening behavior. furthermore, it is known that such melts are highly elastic and this needs to be modeled via a viscoelastic maxwell-like model. here, the shear viscosity modeling would be implemented in the viscoelastic model without change. therefore equation (11) would be extended with the elastic contributions. it is also important to model the real relaxation time, because the time constant in equation (12) and (14) is only mimicking a fluid own time where the shear thinning behavior starts to occur. in this way it is not a real relaxation time. however, this would be included in future work. acknowledgments the authors would like to thank m. eigenbrod and s. descher (university of kassel) for the careful experimental investigation of pp at the high-pressure capillary rheometer and the helpful work in the laboratory. furthermore, the authors thank the german research foundation (dfg) and the university of bagdad for the financial support. list of symbols w , shear rate [s -1 ] r the radius of the plate-plate geometry and the sample [m]  angle velocity of the plate-plate geometry [radius/s] h hight of the sample [m]   , viscosity and the viscosity function [pas] m measured moment [nm] q weighted flow rate [s -1 ] v flow rate (volume flux) [m 3 /s] d diameter of the tube of the capillary rheometer [m] w , shear stress and wall shear stress [n/m 2 ] p pressure gradient [bar] l length of the tube of the capillary rheometer [m]  density of the fluid [kg/m 3 ] ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 21 v euler velocity field [m/s] s cauchy stress tensor [n/m 2 ] f specific volume forces [nm 3 /kg] 1 unity tensor p pressure [bar] t extra viscous stress tensor [n/m 2 ] d rate of deformation tensor [s -1 ]  temperature [°c] )(0  zero shear rate viscosity )( rr  reference viscosity )( time parameter function [s] )( rr  reference time parameter 0e activation energy constant of pp [kj/mol] 0r the universal gas constant [j/mol k] r reference temperature 5. references [1] c.maier, t.calafut, polypropylene: the definitive user`s guide and data book, isbn: 9781-1-884207-58-7, plastic design library, new york (1998) [2] r. zhuet et al, microstructure and mechanical properties of polypropylene/poly(methyl methacrylate)nano composite prepared using supercritical carbon dioxide, macromolecules, 44, 6103-6112 (2011) [3] j. aho, rheological characterization of polymer melts in shear and extension: measurement reliability and data for practical processing, tampere university of technology, tampere, finland (2011) [4] z. mohamed ariff et al rheological behavior of polypropylene through extrusion and capillary rheometry, isbn:987-953-51-0636-4, university sain malaysia, malaysia (2012) [5] r. s. smith, j.a. glasock, measurement of the rheological properties of standard reference materials2490 using an in-line micro-fourier rheometer, korea-australia rheology journal, 16-4, 169-173 ( 2004) [6] s. shanabhag, analytical rheology of polymer melts: state of art. isrn material science, department of scientific computing, florida state university , tallahassee-usa (2012) [7] a. al-baldawi, modellierung und simulation viskoelastischer polymerschmelzen, isbn: 978-3-89958-598-8, kassel university press, kassel (2012) [8] a. al-baldawi, o. wünsch, some new aspects of the invariants of the rate deformation tensor and their application on viscoelastic polymer melts, technischemechanik, 32-6, 667-683 (2012) [9] a. al-baldawi, o. wünsch, numerical simulation of highly viscoelastic polymer melts using vf and devss methods, proceedings in applied mathematics and mechanics, 11, 563-564 (2011) [10] a. al-baldawi, l. schreiber, viscoelasticplastic modelling and experimental investigation of three different batches of 51crv4 stell, technischemechanik, 31, 114 (2011) [11] a. al-baldawi, h. damanik, s. turek, o. wuensch, comparison of improved fe/fv methods in the context of simulating jet extrusion processes, proceedings of the 1st int. con. on thermo-mechanically graded materials, isbn: 978-3-942267-58-8, 225230 (2012) [12] a. al-baldawi, o. wünsch, simulating of a pressing process of a viscoelastic polymer melt, proceedings in applied mathematics and mechanics, 12, 471-472 (2012) [13] a. al-baldawi, l. schreiber, o. wünsch, hysteresis behaviour of 51crv4 and viscoplastic modeling aspects, proceedings in applied mathematics and mechanics, 11, 349-350 (2011) [14] a. al-baldawi, l. schreiber, o. wünsch, experimental investigation, viscoelasticplastic modelling and parameter identification for different batches of 51crv4 steel, proceedings in applied mathematics and mechanics, 10, 273-274 (2010) [15] p. j. carreau, rheological equations from molecular network theories, journal of rheology, 16:99127 (1972) [16] m. m. cross, kinetic interpretation of nonnewtonian flow, journal of colloid and interface science, 33-1, 30-35 (1975) [17] a. w. sisko, the flow of lubricating greases, journal of industrial and engineering chemistry, 50-12, 17891792 (1958) [18] g. böhme, strömungsmechanik nichtnewtonscher fluide. b.g. teubner, stuttgart, 2000 [19] r. bird, r. armstrong, o. hassager, dynamics of polymeric liquids, wiley inter-science, new york, 1987 [20] a. al-baldawi, o. wünsch, experimental investigation and modeling approaches of ammar al-baldawi al-khwarizmi engineering journal, vol. 9, no. 4, p.p. 1223 (2013) 22 the elongation viscosity of polycarbonate above the glass transition temperature, proceedings of the polymer processing society 29th, annual meeting, pps-29, s22-14 (2013) [21] m. krebs, o. wünsch, development and testing of a new pressure cell for rheological characterisation of polymer melts, applied rheology, 20, 23229 (2010) (2013) 1223، صفحة 4، العدد9مجلة الخوارزمي الهندسية المجلد عمار محمد البلداوي 23 أالنصهارجة لزوجة ألقص من ألبولي بروبيلين فوق درجة ذلريولجية ونمالحرارية ا لتحقيقا ***اوليف فينش** شذى كاظم عبد اللطيف* البلداوي محمد عمار المانيا/ جامعة كاسل / كلية الهندسة / قسم الهندسة الميكانيكية ***،* جامعة بغداد/ كلية الهندسة الخوارزمي / قسم الهندسة الكيميائية االحيائية ** ammar@uni-kassel.de : االلكتروني البريد ** shatha_engr@yahoo.com : اللكترونيا البريد** wuensch@uni-kassel.de : االلكتروني البريد *** الخالصة .ةويؤدي الى التحديات في صناعة تجهيز لتقديم مواد عالية األداء مع شروط معقول ,د البوليميرية في الحياة اليوميةأالستخدام المتزايد للموا من أجل الحد من تكاليف التجهيز فمن الضروري تفهم سلوك الغير النيوتونية .تؤدي الى ارتفاع التكاليفلجديدة لك فان تقنيات المعاجة اذومع ة البوليمرات هنا سلوكية رقيق القص للزوج .بدء باحتساب العملياتمن البوليرات في حالتها المنصهرة للمقدرة على تفهم محاكاة التجهيز قبل ال ه الورقة تتناول التحقيق التجريبي للسلوك الحرارية الريولوجية للزوجة لواحد من البوليمرات األكثر ذوبالتالي ه. المنصهرة أمر ضروري جة من اللزوجة من خالل اقانون ذلك تم نهج النمذعالوة على .من درجات الحرارة ومعدالت القص على مجموعة(بولي بروبيلين)شيوعآ . أرينيوس جذللموئع الغير نيوتونية جنبا الى جنب مع نمو mailto:ammar@uni-kassel.deالبريد mailto:ammar@uni-kassel.deالبريد mailto:shatha_engr@yahoo.com mailto:wuensch@uni-kassel.deالبريد mailto:wuensch@uni-kassel.deالبريد effect of location and type of al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) effect of construction joints on performance of reinforced concrete beams zena waleed abass department of civil engineering/ college of engineering/ university of almustansirya (received 18january 2011; accepted 31 may 2011) abstract construction joints are stopping places in the process of placing concrete, and they are required because in many structures it is impractical to place concrete in one continuous operation. the amount of concrete that can be placed at one time is governed by the batching and mixing capacity and by the strength of the formwork. a good construction joint should provide adequate flexural and shear continuity through the interface. in this study, the effect of location of construction joints on the performance of reinforced concrete structural elements is experimentally investigated. nineteen beam specimens with dimensions of 200×200×950 mm were tested. the variables investigated are the location of the construction joints (at midspan or at third point of the specimens), type of construction joints (vertical, inclined, and key construction joints), and presence of stirrups at these joints. the specimens were tested using 1000 kn computer controlled versatile electronic testing machine. the specimens were positioned in the machine so that the deflection at center and\or at the location of construction joint was measured at each load step. the results of the experimental program indicated that the best location of the construction joint is at the point of minimum shear. it was found that the use of vertical construction joint has little effect on the overall behavior of beam specimens (the percentage of reduction in ultimate load capacity is in the range of 0% 5%). while inclined construction joints results in a noticeable reduction in strength of beams relative to the strength of beam without construction joint the percentage of reduction in ultimate load capacity is in range of 8% 20%.the presence of stirrups at the construction joints is an important variable, which affect the type of failure and load carrying capacity. it is found that adding of stirrups across the joint results in an increase in capacity in the range of (7%15%) and a decrease in deflection in the range of (20%48%). keyword: construction joint, reinforced concrete, beams, cracks in concrete. 1. introduction joints are necessary in concrete structures for variety of reasons. not all concrete in a given structure can be placed continuously, so there are construction joints that allow for work to be resumed after a period of time. since concrete undergoes volume changes, it can be desirable to provide joints and thus relieve tensile or compressive stresses that would be included in the structure. it is necessary then to provide various types of joints in most concrete structures, and in order that these joints adequately perform the functions for which they are intended, it is essential that they be installed and located correctly (1) . 1.1. joints in concrete structures when joints are installed in a concrete structure, it is essential that they do not impair the normal functions of the structure and usually it is desirable that they should blend with the general appearance. in general, it is convenient to classify the various types of joints in two groups (2) : zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 49 a. functional joints these joints are installed to accommodate movement (volume change) due to temperature, shrinkage during setting, expansion, sliding, warping ... etc. b. construction joints these joints are made when there is a break stoppage in the construction program. construction joints are stopping places in the process of placing concrete and they are provided to simplify construction of a structure. the location of construction joints depends on the type of work, the site condition and the production capacity of the plant or labor employed. it frequently happens; when large volume of concrete are being placed that there is a break in the construction work. pure construction joints are not intended to accommodate movement but they are merely separation between consecutive concreting operations and in fact, every effort is directed towards preventing movement from occurring at these joints. construction joints should not be confused with expansion joints. expansion joints are usually used to allow for free movement of parts of a structure and which are normally designed for complete separation. construction joints are nearly always the weakest points in a structure. the main problem that remains therefore in the formation of a good construction joint is the capability of providing a well bonded medium between the hardened and the fresh concrete . thus construction joints in concrete structure should be placed where shear forces are expected to be low. both the location and the size of joint should in general be chosen according to the type of structure to ensure good performance of the structure and to provide acceptable appearance. in the case of reinforced concrete beams, construction joints may run horizontally, vertically, inclined or key joints; depending on the placing sequence prescribed by the design of the beam, fig.(1). the main concern in joint construction is in providing adequate shear transfer and flexural continuity through the joint. flexural continuity is achieved by continuing the reinforcement through the joint, while shear transverse is provided by shear friction between old and new concrete, and dowel action in reinforcement through the joint. construction joints may result in less than100 ℅ of shear capacity. the construction joints should be made in the following manner (3,4) : 1the surface of hardened concrete along the joint should be thoroughly roughened. 2the surface of the concrete should then be cleaned thoroughly to remove all foreign and attached matter such as waste. 3hardened concrete should be moistened thoroughly before new concrete is placed on it. 4no pool of water should be left standing on the wetted surface when new concrete is placed. fig. 1. types of construction joints. h h h h l l l l horizontal construction joint vertical construction joint key construction joint inclined construction joint zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 50 1.2. location of construction joint location of construction joints is usually predetermined by agreement between the architectural engineer and the contractor, so as to limit the work that can be done at one time to a convenient size, with the least impairment of the strength of the finished structure. generally, it is impractical to place concrete in lifts higher than one story. designer should recognize this when locating horizontal construction joints. for building in which the concrete walls are to be exposed, joints may be located at bends of ornamentation, ledge, rustications, or other architectural details. it is convenient to locate horizontal joints at the floor line in line with window sills. in the design of hydraulic structures, construction joints usually are spaced at shorter intervals than in non-hydraulic structures to reduce shrinkage and temperature stresses. construction joints should be located by the designer to provide logical separation between segments of the structure. as a rule, construction joints are allowed only where shown on the drawings. if the placing of concrete is involuntarily stopped for a time longer than the initial setting time of the concrete used, the old surface is to be considered as a construction joint, and treated as such before casting is resumed. the appearance of a structure can be influenced by the location of the construction joint, and the aim should be to install them in apposition that renders them as inconspicuous as possible; the alternative is to make them clearly visible as a feature of the structure. the joint should fit into the architectural design, and their location should facilitate the construction of forms and placing of concrete. however, from a point of view of strength of the structure, it is desirable to position construction joint at point of minimum shear. for slabs and beams it is, therefore, usual to have construction joint at mid span or in the middle third of the span. these rules are based on the assumption that a construction joint may result in less than 100% of shear capacity in the interface. if there were practicable to have such joints at the supports for slabs and beams, it improves appearance and result in a considerable saving in the cost of the formwork (5) . 2. variables of the test program the variables affecting the location of construction joints of reinforced concrete structure elements are studied experimentally. these variables include the location and type of the construction joint and whether or not stirrups are present at the joint. a. location of construction joint the effect of location of the joint is the main variable in this study. two different locations are considered: at the middle of the beam specimen and at the third point as shown in fig.( 2 ). the reason for choosing the two locations is to investigate the behavior of the reinforced concrete beams when the construction joint is at zero shear and maximum moment and at the zone of small shear and small moment. fig. 2. location of construction joints. l l l/2 l/3 first pour first pour second pour second pour construction joint construction joint aconstruction joint at the middle of the specimen (v=0, m=mmax.) h h zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 51 b. types of construction joint three types of construction joints were investigated in this study: b.1. vertical construction joint this type of construction joint is made by using stop-board of wood placed vertically after casting the first part of the beam. the stop-board has to be scatted to all longitudinal reinforcement to extend from the old concrete to new one, as shown in fig. ( 3 ). b.2. inclined construction joints in this type of construction joints, the stop board is cut so that various inclinations of the construction joints can be maintained. three inclinations were used, 30˚, 45˚and 60˚ with the vertical axes, as shown in fig. (4). the reason for choosing these three inclinations is to investigate the effect of such inclinations on the performance of the beam. fig. 3. vertical construction joint. fig. 4. types of inclined construction joints. vertical construction joint l h first pour construction joint construction joint construction joint first pour first pour second pour second pour second pour h h h l l l a30 inclined construction joint with vertical axes b45 inclined construction joint with vertical axes c-60 inclined construction joint with vertical axes 45 0 30 0 60 0 zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 52 b.3. key construction joints the key is normally formed by fixing beveled edge strip of wood to a stop board. the stop-board has to be scatted to all reinforcement to extend from the old concrete to the new one. the details of key construction joints used in this investigation are shown in fig. (5). fig. 5. types of key construction joints . c. presence of stirrups at the construction joint one of the groups contains stirrups at the construction joint located at third point of the beam it is used to compare the efficiency of such joint with other groups having joint at third point of the beam but without stirrups at that joint, see table (1).(note that in key joint , (l) shape stirrups was used throughout the joint). table1, test parameters of beam specimens. series no. specimen no. location of the joint stirrups at joint types of construction joint reference beam 19 without construction joint series one 1 at the middle of the specimen without stirrups at the joint vertical 2 inclined by 300 3 inclined by 450 4 inclined by 600 5 key joint i 6 key joint ii series two 7 at the third point of the specimen without stirrups at the joint vertical 8 inclined by 300 9 inclined by 450 10 inclined by 600 11 key joint i 12 key joint ii series three 13 at the third point of the specimen having ø 10 mm stirrups at the joint vertical 14 inclined by 300 15 inclined by 450 16 inclined by 600 17 key joint i 18 key joint ii * note:the concrete compressive strength for all beam specimens was 20 mpa (using cylinder mold). first pour second pour second pour construction joint construction joint l l h akey construction joint type i bkey construction joint type π h zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 53 3. experimental work the experimental work includes 19 simply supported reinforced concrete beams with dimensions of ( 200x 200x950mm), as shown in fig. (6) and plate(1a,1b). the specimens were reinforced with four longitudinal bars ( 2-ø12 mm bars at bottom and 2-ø10 mm bars at top) , and (ø10mm ) closed stirrups located at 80mmc/c along the beam. table (2) shows the properties of the reinforcement bars used. in all mixes, the cement was ordinary portland cement, type i, which was manufactured by the united company cement factory/iraq. alukhaider natural sand of (4.75mm) maximum size was used as fine aggregate. while the coarse aggregate was crushed gravel with max size of (19mm).table (3) shows the quantities of concrete mix used in beam specimens. fig. 6. dimensions and reinforcement details of beam specimens. plate1: beam specimens before testing (a) and (b). p symm. l h a a sec. (a-a) 200 120 40 40 200 ø10@80mmc/c 2ø10top bars 2ø12bot. bars all dimensions are in (mm) 1b 1a zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 54 table 2, properties of reinforcement bars. bar size(mm) area ab in (mm 2 ) yield strength in (mpa) tensile strength in (mpa) 10 78.5 513 601 12 113 572 666 table 3, quantities of concrete mix. concrete compressive strength (mpa) w/c ratio cement content (kg/m3) aggregate content (kg/m3) sand content (kg/m3) 20 0.6 215 1057 641.5 two slandered cylinders 150x300mm were cast from each batch of concrete during the casting of the first part of the specimen . another two cylinders were cast with second part of the specimen for each casting operation. thus, four cylinders for each specimen were made. the cylinders stored and cured under the same condition as the beam specimens and their compressive strength were measured at the time of testing . table (4) shows the concrete compressive strength for the beam specimens. table 4, actual concrete compressive strength for the beam specimens. series no. cylinder no. part 1 part 2 load (kn) compressive strength (mpa) load (kn) compressive strength (mpa) series one 1 342.8 19.4 349.9 19.8 2 355.2 20.1 335.7 19 average 19.7 average 19.4 series two 1 332.2 18.8 326.9 18.5 2 339.3 19.2 335.7 19 average 19 average 18.7 series three 1 351.6 19.9 342.8 19.4 2 360.5 20.4 346.6 19.6 average 20.2 average 19.5 the beam specimens with a construction joint were manufactured by casting one part of the specimen in an oiled plywood forms, and after 7 days the second part was cast to make the beam specimen as a one unit with construction joint between them. no attempt was made to improve the bond at the joint by degreasing or roughening the old face of concrete. electrical vibrator was used to vibrate the specimens. vibration process continued for 60 sec. the test specimens were removed from the mould after10 days. all the specimens were cured for 14 days by sprinkling. each specimen was loaded to failure in 1000 kn computer controlled verstile electronic test machine. the beam specimen is seated on the bending testing table for the machine. the concentrated load was applied at the center of the specimen gradually and the deformation was measured with 0.01 mm dial gauges located at the center of specimen, and at the construction joint when its location is at third point of the specimen. the displacement was recorded by the dial gauge groups at each 10 kn of load until failure occur either by cracking through the construction joint or through the concrete. zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 55 4. results, discussion and conclusions the load deflection curves for beams having construction joints are compared with load deflection curves for beams without construction joints , as shown in fig.(7) to fig.(24). deflections at center and / or at location of the construction joint are listed in table (5). fig. 9. load deflection behavior of beam no. (3) (series one). fig. 10. load deflection behavior of beam no. (4) (series one). without const. joint vertical const. joint at middle fig. 7. load deflection behavior of beam no. (1) (series one). fig. 8 load deflection behavior of beam no. (2) (series one). without const. joint 30 degree inclined const. joint at middle without const. joint 45 degree inclined const. joint at middle without const. joint 60 degree inclined const.joint at middle zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 56 fig. 13. load deflection behavior of beam no. (7) (series two). fig. 14. load deflection behavior of beam no. (8) (series two). fig.11. load deflection behavior of beam no. (5) (series one). fig.12. load deflection behavior of beam no. (6) (series one). without const. joint key const. joint type 1 at middle without const. joint key const. joint type 2 at middle without constjoint vertical const. joint at third point without constjoint 30 degree inclined const. joint at third point zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 57 fig. 17. load deflection behavior of beam no. (11) (series two). fig. 18. load deflection behavior of beam no. (12) (series two). fig.15. load deflection behavior of beam no. (9) (series two). fig.16. load deflection behavior of beam no. (10) (series two). without constjoint 45 degree inclined const. joint at third point without constjoint 60 degree inclined const. joint at third point without constjoint key const. joint type 1 at third point without const joint key const. joint type 2 at third point zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 58 fig. 19. load deflection behavior of beam no. (13) (series three). fig. 20. load deflection behavior of beam no. (14) (series three). fig. 21. load deflection behavior of beam no. (15) (series three). fig. 22. load deflection behavior of beam no. (16) (series three). without const joint 45 degree inclined const. joint with stirrups at third point without const joint 60 degree inclined const. joint with stirrups at third point without const joint vertical construction joint with stirrups at third point without const joint 30 degree inclined cons.joint with stirrups at third point zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 59 table 5, load, type of failure and ultimate deflection of the tested beam specimens. series no. specimens no. type of failure ultimate deflection at center (mm) failure load (kn) reference beam 19 flexural failure 3.6 80 series one 1 flexural failure 3.7 80 2 flexural failure 4 80 3 joint failure 3.6 70 4 joint failure 3.6 70 5 flexural failure 3.7 80 6 flexural failure 3.9 80 series two 7 joint failure 3.2 70 8 joint failure 3.8 70 9 joint failure 2.5 60 10 joint failure 2.9 6 11 joint failure 3.2 70 12 joint failure 3.6 70 t series three 13 flexural failure 3.8 80 14 flexural failure 3.8 80 15 joint failure 3.5 70 16 joint failure 3.7 70 17 flexural failure 3.7 80 18 flexural failure 3.8 80 the load was applied to the beam specimens until failure occurred through the construction joints or flexural failure developed. close to failure, the flexural cracks change into inclined shear cracks pointing toward the compression zone. during tests, specimens were examined for cracks. the load at which each crack becomes visible was marked. the behavior of the reference beam (beam without construction joint) as shown in plate (2) and (3) is similar to ordinary reinforced concrete beams failing in flexure. the first crack develops at the beam center at stress which is close to flexural strength of concrete. as the load increased, several other flexural cracks on without const joint key construction joint type 1 with stirrups at third point without const joint key construction joint type2 with stirrups at third point fig. 23. load deflection behavior of beam no. (17) (series three). fig. 24. load deflection behavior of beam no. (18) (series three). zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 60 both sides of the central region developed. near failure which occurs at about 80 kn, these flexural cracks change direction toward the load location. the measured ultimate deflection was 3.6 mm. plate (2) testing machine. plate (3) beam without construction joint (reference beam) after testing . for beam specimens with construction joint at middle section of the specimens (series one) the primary type of failure depends on the type of construction joint. the joint failure (crack through the joint) occurs when the construction joint is inclined at an angle greater than or equal 45° with vertical axis, as shown in plate (4). flexural crack failure similar to the failure of the reference beam was observed to occur when the inclination angle is less than 45° with vertical axis. the primary type of failure for series two (specimens with construction joints at third point) was by cracking through the construction joint (joint failure). no cracks outside the joint location were observed in these specimens during the test. the load-deflection curves indicate that the deflection at all load levels is greater than the deflection of the reference beam. for series three it is obvious that the presence of stirrups at the construction joints improves the performance of these beams relative to similar beams with construction joints but without stirrups. plate(4) beam with 60° inclined construction joint at midspan after testing. the beams with stirrups at the construction joint failed by flexural cracking at higher load level when compared with beam specimens with construction joints but without stirrups at these joints . specimens with construction joints at third point failed by cracking through the joints as shown in plate (5) at lower load levels of comparable specimens with construction joint at middle of the beam specimens . as shown in table (5), and figs. ( 25 ) and ( 26 ). zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 61 plate (5) beam with vertical construction joint at third point without stirrups after testing . fig. 25. effect of location of vertical construction joint. fig. 26.effect of location of 45 0 inclined construction joint. the reason for failure through the construction joints located at third points may be explained on the basis of presence of greater tension in concrete at these locations as compared to no tension at mid span. the presence of such tension reduces the shear capacity possibly because adhesion and friction at the interface between new and old concrete may be affected. for beams and slabs it is usual to have construction joints at mid span or in the middle third of the span. these rules are based on the assumption that a construction joint may result in less than 100% of shear capacity at the interface. the type of construction joints was found to be an important factor affecting the behavior of the tested beams. the vertical and key construction joints have similar performance and the capacity and deflection of these beams are close to that of the reference beam. the effect of inclined construction joints depends primarily on the degree of inclination of the surface of concrete; lower inclination with vertical axis gives higher strength joints. as shown in table (5) and figs. (27) and (28). fig. 27. effect of type of construction joint at middle. 0 10 20 30 40 50 60 70 80 90 0 1 2 3 4 vertical const. joint at middle vertical construction joint at third point deflection(mm) 0 10 20 30 40 50 60 70 80 0 1 2 3 4 lo ad (k n ) deflection (mm) 45 degree inclined const. joint at middle 45 degree inclined const. joint at third point l o a d ( k n ) 0 10 20 30 40 50 60 70 80 90 0 2 4 lo ad (k n ) deflection (mm) vertical const. joint at middle 45 degree inclined const. joint at middle key const. joint type 1 at middle zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 62 fig. 28. effect of type of construction joint at third point . when stirrups were added at the construction joints, the strength of beams increases with the increase in percentage of steel across the construction joint . the behavior of these beam specimens during tests was similar to the behavior of beam specimens of series one where the construction joints at midspan. table (5) shows that these specimens fail at higher levels of loads when compared with beam specimens with construction joints at third point without stirrups. table (5) shows that the type of failure of vertical, 45° inclined construction joint and less with vertical axis, and key construction joints for series three specimens failed by flexural failure which is different from the type of failure of beam specimens of series two which failed by joint failure. it can be concluded that the presence of stirrups at the construction joint have improved the behavior of beam specimens. figs. (29 ) and (30 ) shows the effect of the presence of stirrups at the construction joints with similar beams having no stirrups at the construction joints. 0 10 20 30 40 50 60 70 80 0 1 2 3 4 lo ad (k n ) deflection (mm) vertical construction joint at third point 45 degree inclined construction joint at third point key construction joint at third point fig. 29. effect of presence of stirrups at vertical construction joint . fig. 30. effect of presence of stirrups at 45 0 inclined construction joint . 0 10 20 30 40 50 60 70 80 90 0 2 4 lo ad (k n ) deflection (mm) vertical const. joint at third point without stirrups vertical construction joint at third point with stirrups 0 10 20 30 40 50 60 70 80 0 2 4 lo a d ( k n ) deflection (mm) 45 degree inclined const. joint at third point without stirrups 45 degree inclined construction joint at third point with stirrups zena waleed abas al-khwarizmi engineering journal, vol. 8, no. 1, pp 4864 (2012) 63 from the experimental results the following conclusions can be drawn: 1it is preferable to locate the construction joint at the point of zero shear perpendicular to the main reinforcement. in this investigation it is found that beams with construction joints at zero shears perform better than beams with construction joint at the third points of specimens (the percentage of reduction in ultimate load capacity is in range of 2% -15%). 2vertical construction joints have a slight effect on the overall behavior of reinforced concrete beams under flexural mode when they are placed at the middle of the beam span (zero shears). the load carrying capacity for the tested beam with vertical construction joints is about95% of the capacity of the reference beam without construction joint. 3the effects of inclined construction joints depend primarily on the degree of inclination of the surface of concrete, lower inclination with vertical axis gives higher strength joints. the load carrying capacity of beam with construction joints inclined by 45° is in the range between(8%20%) lower than that of beam without construction joint. 4the percentage of steel across the joint (i.e. amount of stirrups at the construction joints) affects the overall load-deflection behavior of reinforced concrete beams having construction joint. as the amount of such steel is increased, the ultimate load-carrying capacity increased. for the studied cases, it is found that increasing the amount of steel across the joint in the range of (50%100%) causes an increase in capacity in the range of (7%15%) and a decrease in the ultimate deflection in the range of (20%48%). 5the performance of beam with vertical or key construction joints is similar to the performance of beams without construction joints. 5. refrences [1] aci committee report 224.3r-95 "joints in concrete construction", pp. 1-44, 1995. [2] p. critchell, "joints and cracks in concrete", cr books (a maclaren company), london, 1968. [3] m. fintel, "joints in buildings", handbook of concrete engineering, 2nd edition, pp.121, 1985 [4] a. mattock, "cyclic shear transfer and type of interface", journal of the structural division, asce, vol.107, no. st10, pp.599616, 1987. [5] c. desai and m. zaman, "thin-layer element for interface and joints", international journal for numerical and analytical method in geometrical, vol.8, pp.19-43, 1984. 48-64 (2012) صفحة ،1 ،العذد8 مجلة الخىارزمي الهنذسية المجلذ زينة وليذ عباس 64 تاثير المفصل االنشائي على تصرف العتبات الكىنكريتية المسلحة زينة وليذ عباس انجامعت انمسخىصشٔت/ لسم انٍىذست انمذوٕت الخالصة إن انمفاصم اإلوشائٕت ٌٓ عباسة عه مىاطك انخُلف فٓ عمهٕت صب انخشساوت َ ٌٓ ضشَسٔت فٓ عذٔذ مه انمىشاث انخٓ ال ٔمكه فٍٕا صب انخشساوت انمفصم . إن ممذاس انخشساوت انخٓ ٔمكه صبٍا ٔعخمذ عهّ انسعت اإلوخاجٕت َ سعت انخهظ فٓ انمُالع َ عهّ وُعٕت انمُانب انمسخخذمت. عهّ مشدهت َادذة فٓ ٌزا انبذث حم دساست حأثٕش أوُاع َ مُالع انمفاصم اإلوشائٕت عهّ أداء األجضاء . اإلوشائٓ انجٕذ ُٔفش اسخمشاسٔت نهمص َ االوذىاء خالل انسطخ انبٕىٓ .انخشساوٕت عه طشٔك فذص ومارج عمهٕا فٓ انمخخبش ، وُع (فٓ مىخصف أَ ثهث انىمُرج)إن انمخغٕشاث انخٓ حم اعخمادٌا ٌٓ مُلع انمفصم اإلوشائٓ . (مهم)950*200*200 ومُرج باألبعاد 19حم فذص حم فذص انىمارج بُاسطت ماكىت فذص . ، َ إضافت أطُاق فٓ انمفصم اإلوشائٓ(عمُدْ، مائم بضأَت مع انمذُس انعمُدْ ، لفم َ مفخاح)انمفصم اإلوشائٓ حشٕش انىخائج انعمهٕت إنّ . َضعج انىمارج بشكم ٔسمخ بمٕاط ممذاس االوذشاف فٓ مىخصف أَ حذج انمفصم نكم مشدهت دمم. وُٕحه كٕهُ 1000راث سعت وسبت ) َ حشٕش أٔضا إنّ إن انمفصم انعمُدْ رَ حأثٕش بسٕظ عهّ لُة انىمارج ،إن أفضم مُلع نهمفصم اإلوشائٓ ٌُ فٓ انمىاطك انخٓ فٍٕا لُِ لص لهٕهت َ نكه ، ُٔجذ ومصان را حأثٕش مهذُظ عهّ لُة انىمارج مع صٔادة دسجت مٕم انمفصم اإلوشائٓ مع انمذُس انعمُدْ (%5% -صفش )االوخفاض جاءث بٕه ََجذ فٓ ٌزي انذساست أٔضا إن إضافت دذٔذ انخسهٕخ عهّ شكم أطُاق فٓ مىطمت انمفصم اإلوشائٓ مخغٕش مٍم نً . (%20%-8)وسبت االوخفاض كاوج بٕه حأثٕش عهّ وُع انفشم انذاصم َ مماَمت انخذمم انمصُِ ، ََجذ إن صٔادة كمٕت انذذٔذ فٓ مىطمت انمفصم ٔؤدْ إنّ صٔادة فٓ مماَمت انخذمم انىٍائٕت ما بٕه % ( . 48%-20)فٓ ممذاس االوذشاف ما بٕه َ ومصان (%15%-7) a <4d6963726f736f667420576f7264202d20dfd1ede320e6dac7cfe120d4c8edc820e6e3d5d8ddec33392d3531> 1 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 1, march, (2018) p.p. 39-51 experimental evaluation and finite element simulation to produce square cup by deep drawing process karem muhsin younis* adil shbeeb jabber ** mustafa mohammed abdulrazaq *** *, **,*** department of production engineering and metallurgy engineering/ university of technology *email: kamarabbas 89@yahoo.com **email: adilshbeeb@yahoo.com ***email: mustafaalneame@yahoo.com (received 8 march 2017; accepted 17 october 2017) https://doi.org/10.22153/kej.2018.10.002 abstract deep drawing process to produce square cup is very complex process due to a lot of process parameters which control on this process, therefore associated with it many of defects such as earing, wrinkling and fracture. study of the effect of some process parameters to determine the values of these parameters which give the best result, the distributions for the thickness and depths of the cup were used to estimate the effect of the parameters on the cup numerically, in addition to experimental verification just to the conditions which give the best numerical predictions in order to reduce the time, efforts and costs for producing square cup with less defects experimentally is the aim of this study. the numerical analysis is used to study the effect of some parameters such as die profile radius, radial clearance between die and punch, blank diameter on the length and thickness distributions on the cup, dynamic-explicit (ansys11) code based on finite element method is utilized to simulate the square deep drawing operation. experiments were done for comparison and verification the numerical predictions. effective square cup with less defects and acceptable thickness distributions were produced in this study. it is concluded the most thinning appear in the corner cup due to excessive stretching occur in this region and also it is found the cup thickness and height prediction by numerical analysis and in general in harmony with experimental analysis. keywords: square deep drawing, finite element method, thickness distribution. 1. introduction sheet metal forming is one of the most widely used manufacturing processes for the fabrication with a wide range of products in various industries. cylindrical, rectangular and some complex shaped parts can be produced with the help of process [1]. deep drawing process is one of the important sheet metal forming processes, traditional deep drawing is a process by which a sheet of metal with certain thickness is converted to certain shape of geometry, the blank (undeformed sheet), is placed onto the die which have cavity, and it is pressed by punch into the die cavity, the schematic illustration of the deep drawing process and variables of it shown in the figure (1). deep drawing of square cup is one of the most widely utilized operations in sheet metal forming technology, it has been widely used for hundreds of years. karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 40 fig. 1. (a) schematic illustration of the deep drawing process, (b) variables in deep drawing process[2]. for example, it is utilized to produce car parts in automotive manufacture, utilized in electrical power engineering and aerospace industries, also making domestic items like kitchen sinks, square shaped parts are very critical in deep drawing process as stresses induced are not same in all directions. various factors affect this process like blank size, blank thickness, die fillet radius, punch profile radius, lubrication [1,3,4]. therefore modern researches focus on the optimum values of these process parameters for non-symmetrical deep drawing parts ( square, rectangular, triangular and hexagonal shapes), in the field of square deep drawing process more researches have been focused. e. onder, a.e. tekkaya [5] reported that numerical analysis of different blank shape using various sheet metal forming processes such as conventional deep drawing, hydro-mechanical deep drawing and high pressure sheet metal process, the effect of some process parameters were studied for each cross section, two types of steel have been used as materials blank in the numerical analysis and on the experimental verification. dynamic-explicit fe software and an elastic-plastic model was used in this numerical analysis. the analysis displayed that depending on the blank shape and dimensional setup certain process are preferable for obtaining more satisfactory products. it is concluded from this study the hydro-mechanical deep drawing can produce cup with less thinning while the high pressure sheet metal yields the largest thinning in the product with same geometry. common conclusions derived out from the research carried out by halil uibranhim demirci, cemal esner and mustafa yaser [6] to investigate the effect of the blank holder force on wall thickness, cup depths, tearing and wrinkling in square deep drawing process experimentally and numerically via the ls-dyna software are summarized as follows: the wall thickness distributions obtained by experimental and finite element method is seem to be showing generally errors of around 15%, it is observed that thickness of the cup wall gets thinner in the punch profile region and increased in thickness occur toward the edges of the cup section. k. youns, m. j. abdrasul [7] study the effect of die and punch corner radii on the behavior and flow of metal and at the limit of fracture (failure is of any breaks in the square cup) in the process of deep drawing and compare the practical results with the theoretical results that we get by using the method of finite element analysis, the fem code the commercially available software (ansys 113d) used here. moshen et al [8] have proposed a newly process to raise the formability for the square deep drawing process by using flat headed square punch to deformed the flat circular blank in to conical shaped die with square orifice at its end. fea was utilized to investigate the effect of geometrical parameter such as die and punch profile radius, punch and die corner radius, die cone angle, relative clearance and initial thickness of the blank on the square cup formability in order that determine the optimal values of these parameters, the limit drawing ratios were utilized karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 41 to estimate the impact of the parameters on the drawability of cup. experiments with same conditions have been done to verify the fe predications. it is concluded the ldr obtained from this process is significant higher than that of the improved classical deep drawing ways. u. pranavi et al evaluated the formability of aa 6061 aluminum alloy blank with thickness of 2mm by using deep drawing process to produce square cups, numerical simulation commercial fem code in which hollomom's power law and hill's 1948 yield criterions are implemental to investigate the influence of blank holder force, punch and die profile radius, lubricating conditions and blank size [9]. the deep drawing of a rectangular cup from aisi 304 stainless steel sheet was investigated numerically and experimentally. the fem was used for computer modeling of the deep-drawing process. the thickness distribution predicted from the fea was compared with experimental measurements. it was observed that the numerical results agree well with the experimental values. the minimum thickness was observed at the punch radius in both the simulation and experiment were studied by b. sener, h. kurtaran [10]. h. vairavan, a.b. abdullah [11] study the mode of thinning in the square deep drawing process by focusing on the alignment between punch and die. the thickness measurements of the square cup are obtained by analyzing the images obtained from the alicona infinite system, a commercial 3d non-contact surface measurement system. the reduction in the thickness mode is then mapped on the basis of the measurements made on a few positions along the drawn blank cross-sectional profile. it concluded that misalignments increase the load required for the drawing process, therefore this high load will increasing the probability of occurs fracture in the square cup especially in the corner region. furthermore, misalignments also may cause non uniform distribution thickness, thus leading to the early failure of the blank. modeling and the corresponding experimental validation of angular deep drawing parameters on the thickness of the wall, tensile strength and height of the square profile cups. the full factorial experimental method was used to collect the data. the results of finite element analysis were compared with measurements of experimental. as a consequence, it was showed that angular deep drawing dies gave best results with different angle values than conventional dies with higher drawing ratios. in general, the quality of the cup increased by an increase of the die/blank holder angle. finite element method model results were in good agreement with experimental measurements [12]. consequently, the present work focused on the main object is the avoiding the fracture and excessive wrinkling may occur in the square deep drawing process to achieve this objective must study the square deep drawing process and the parameters required for defect free finished part that requires a lot of trials to achieve this goal experimentally. therefore, studied the effect of the some process parameters ( die profile radius, blank size and clearance) on the thickness distributions throughout the cup and lengths of the cups and then determine the optimum values of these parameters numerically by using ansys software to reduce the efforts, time and costs, finally the experimental verification can be done only for optimum values of the process parameters obtained from the numerical results. 2. experimental procedures 2.1 material selection the properties of material to be drawn by square deep drawing have significant influence on the success of this drawing operation. low carbon steel (1008-aisi) was used in this study. this material is selected because of its good formability, specification and widespread usage in the industry, with sheet thickness 0.7mm to reduce the possibility of wrinkles defects based on the results extracted from previous researches. chemical composition test was carried out by using spectrometer device to verify the manufacturing certificate of (1008-aisi) low carbon steel. the composition studied in the state company for inspection and engineering rehabilitation activities (s.i.e.r) as shown in table (1). table 1, the chemical composition of the low carbon steel (1008aisi). element c% mn% si % p% s% measured 0.08 0.32 0.02 0.015 0.021 aisi =<0.1 0.3-0.5 0.01 =<0.04 =<0.05 element cr% cu% al % mo% ni% measured 0.03 0.09 0.05 0.002 0.03 aisi 2.2 material properties to find out the mechanical properties of the sheet blank to be drawn, tensile test carried out for karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 42 this purpose. firstly specimens were cut from the sheet and tested according to astm (american society for testing of materials) standard e8m specification, the dimensions of tensile specimen as shown in figure (1), then the specimens were fixed carefully by the gripper on the universal testing machine type (wdw-200e), after that it loaded until fracture occurred under cross head speed 2mm/min at strain rate 6.6χ10-4 s-1. the tensile test has been done in the university of technology-production engineering and metallurgy, strength of material laboratory, the universal testing machine used in this study as shown in figure (2). fig. 1. the dimensions of the tensile test specimen according to astm standard e8m specification. fig. 2. the tensile test machine type (wdw-200e). the tensile test machine directly gives the curves between load-deformation curve and engineering stress-engineering strain curve, and by using the equation (1) and (2) below can get the data for drawing the true stresstrue strain curve . the relationship between true stress and true strain curve was described in figure (3). fig. 3. true stress and true strain curve. the true stress-strain curve was concluded from engineering stress-strain curve that obtained directly from testing machine. the slope of linear elastic region define the modulus of elasticity while the slope of the flow curve at specific level of stress (yield stress) is tangent modulus, the yield stress was evaluated by taking the 0.2% offset from this curve, and determined the strength coefficient and strain hardening exponent by taking the logarithm true stress and true strain for data in the uniform plastic deformation region where the strain hardening exponent is the slope of the logarithmic curve and strength coefficient is the value of intersection this logarithmic curve with stress at true strain equal to 0.1. the mechanical properties for low carbon steel blank as shown in table (2). three tensile specimens were tested in order to take the average values to reduce the errors obtain from measurements. � � �° �1 � � …(1) ∈ � ln ��°� …(2) karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 43 where � = true stress, �° = engineering stress, ∈ = true strain, e = engineering strain, � �° = ratio between instantaneous length and original length of the gauge section of the tension test specimen. table 2, the mechanical properties of the sheet used. property symbol value unit young modulus e 200 gpa poisson ratio ʋ 0.3 (from the standard tables) mm/mm offset yield stress �y 203 mpa tangent modulus et 0.5 gpa strain hardening exponent n 0.23 -- strength coefficient k 548 mpa 3. numerical simulation 3.1 modeling commercial finite element analysis code ansys11.0 was utilized to model and analysis the deep drawing operation, in which the nonlinear issues are solved by using "implicit method "newton-raphson. in this method, the stroke of the punch is defined with steps throughout the forming process over the certain time range to adjust the velocity of the punch. solutions (time steps or sub steps) are carried out in order to apply the movement on the punch gradually in each step. at each substep, a number of equilibrium iterations are carried out to get a converged solution. because the geometry of tool and sheet are longitudinal and lateral axial symmetry and also symmetry in the constraints and boundary conditions, the only a one fourth section of the model needed was analyzed. the fe model of the sheet material, drawing die and sequence of deformation mechanism throughout the square deep drawing process is shown in figure (4). b a c karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 44 fig. 4. a) finite element model of tools, b-f) sequence of the deep drawing deformation of the blank. bilinear isotropic hardening option uses the von mises yield criterion connected with an isotropic work hardening assumption. the principal axes of anisotropy coincide with the material (or element) coordinate system. elastoplastic constitutive model with isotropic strain hardening was utilized to simulate the sheet response. the elastic behavior was taken to be linear and the plastic response was modeled using hill's 1948 yield criterion (anisotropic). for simplifying the simulation of the deep drawing processes, the following assumptions were made: 1 the deformations in the tool are very small when compare it with the deformations in the sheet, therefore the dies were rigid assumed to reduction the solution time with acceptable accuracy. 2the punch moved down at constant velocity (60mm/min) throughout the deep drawing process and the die was fix. 3no change in the temperature during the forming process, no heat transfers between tool and sheet. 3.2 element type and meshing the 3-d 8-node structural solid element of solid45 was utilized for blank. the tool set (punch, die and blank holder) were modeled as rigid bodies. element sizes are controlled by controlling the division specification of lines. mesh density of the blank and tools affect the accuracy of the results. so the meshes in the blank are finer than the meshes in the tool in order to get the accurate results for large deformations which occurs in the blank. the most significant regions of the tool whose mesh density affects the accuracy and reliability of the results are its entry radius of the die and punch, the meshes of these regions are finer than other portions. the pilot node was used to define the motion of the punch; the pilot node was used to gain the drawing force during the simulation. the pilot node has degrees of freedom which represent the motion of the entire rigid surface, including three translational and three rotational degrees of freedom in three dimensions, and two translational and one rotational degrees of freedom in two dimensions, and the boundary conditions (displacement), concentrated loads, rotations can be applied to the pilot node. f e d karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 45 3.3. contact automatic contact procedures in ansys11.0 were utilized to model the complex interaction between the tooling and sheet. for flexible (blank) and rigid (tool set) contact, target elements of targe170 were utilized, to act three dimensions target (punch, die, blank holder) surfaces which were associated with the deformable body (sheet) acted by three dimensions 8-node contact elements of conta174. the target and contact surfaces constitute a "contact pair", which were utilized to represent contact and sliding between the surfaces of blank and tool set. a coulomb friction law was used to study the influence of friction at the materials and tool interface, the constant friction is assumed at the drawing sheet and tool interface. 4. deep drawing test experimental equipment were design and implemented to produce square cup, they are made from tool steel which were machined by wire cut machine and polished in order to obtain good surface finish, the operations of the manufacturing of equipments of deep drawing process were done in local market. these equipment were setup on the universal tensile machine, the specification of this tensile machine used to produce square cup by deep drawing process as shown in table (3).the parameters of experimental tooling is described in table (4). circular blank with diameter of 80 mm and thickness of 0.7mm putted on the die surface and punch will drop toward the die in order to deform the blank. drawing speed used equal to 60 mm/min, the blank holder force was determined as the minimum value which prevent wrinkling by trial and error; it was 15kn-18kn. the deep drawing test has been done in the university of technology-production engineering and metallurgy, strength of material laboratory, schematic representation of rig deep drawing tooling as shown in figure (5), the tools of the deep drawing process and the universal testing machine used in this study as shown in figure (6). table 3, main specification of the universal testing machine used in the deep drawing process. aspects specification model wdw-200e capacity 200kn range of speed (0-500) mm/min possibility of testing tensile, compression, bending standard follow iso 68921:2009 (e) table 4, parameters process of square deep drawing. parameter symbol value unit length of square punch lp 40 mm punch profile radius rp 5 mm punch corner radius rc 5 mm length of square die ld 41.55 mm die fillet radius rd 5 mm clearance c 0.77 mm in order to study the strain distribution within the cup during drawing process, a grid pattern of ( 5, 10, 15, 20, 25, 30, ….mm) radius circles was printed on undeformed blank by using mechanical grid marker (compasses), after deformation the change in the grid circles will occurs. circular blank were drawn with different sizes to study the effect of some parameters on the length and thickness distribution in the square cup drawn. 1 2 3 4 5 6 7 top plate guide spring punch plank holder die bottom plate fig. 5. schematic representation of rig deep drawing tooling. karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 46 fig. 6. the tools of deep drawing process. 5. results and discussion the result can be divided into three sections. first section covers the effect some parameters on the height of the square cup drawn by fem, second section describes results of thickness distributions on the cup from center to the edge of cup in the rolling direction by fem, and final section deals with comparison between experimental and numerical results to valid the numerical result. 5.1 cup heights there are a lot of parameters effect on the square deep drawing process in order to produce product with acceptable defects, it must be study the effect of these parameters on the cup drawn. in this section effect of some parameters such as radial clearance and blank size on the height of the square cup are studied, as well as there are flat and corner sides in the square die cavity lead to different metal flow along the square die cavity, thus the process will be most difficult in this research. the numerical analysis were performed using ansys 11 commercial finite element code. mild steel materials have the tool geometry with (punch and die profile radius in mm) [rp=5, rd=5], (blank diameter in mm) d=80, (blank holder force in kn) bhf=15, value of coefficient of friction µ=0.1, (punch speed in mm/min) v=60, and then the numerical results were compared with the experimental. the circular blank was placed onto the die with taking into consideration rolling direction of the sheet. figure (6) represents the effect of radial clearance on the cup height, four value of clearance are used with constant remaining parameters. it is noted that from the figure, the cup height increases with decreasing the radial clearance and reaches the maximum height at corner of the cup. it can be concluded that when the radial clearance (gap between punch and die) is less than or equal to the thickness of blank, accumulation of metal in some flange regions is obtained by compression stresses, this metal in this region will flow into die cavity and because it has thickness more than the gap between die and punch, it cannot flow into die cavity causing stretching deformation. consequently, the height of the cup is increased. sample with clearance equal to the thickness of sheet metal for example, it is noted the length of the cup in the flat side equal to 24.6 mm but it reach to the 28.8mm in the corner region due to excessive stretching occur in this region and then return deceases to the 24.9mm in the perpendicular direction on the rolling direction. figures (7) show the effect of the blank size on the cup height in the square deep drawing. circular blanks with diameters (d=78, 80, 82, 84, and 86mm), and thickness of 0.7mm for all blanks used with keep constant remaining parameters. as expected the cup height increases as the blank size increases due to increase in the amount of metal sheet used to produce cup. the average length of the cup is 23mm when use blank diameter 78mm but the average length of cup reach to 31mm when use blank diameter 86mm. fig. 6. the effect of radial clearance on the cup height. karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 47 fig. 7. the effect of blank size on cup height. 5.2 cup thickness this research shows the variations in the die profile radius have a great influence on the predicted thinning distribution on the cup drawn by deep drawing process. four types of the die profile radius (3, 5, 6, and 7 mm), with punch profile radius (5 mm), (blank diameter in mm) d=80, (blank holder force in kn) bhf=15, (coefficient of friction) µ=0.1, (punch speed in mm/min) v=60 were chosen. figure (8) shows the effect of die profile radius on cup wall thickness along 0º with respect to rolling direction. it is obvious that the thickening increases with increasing die corner radius because the amount of stretching will reduce on the large profile radius, when in the smallest die profile radius the more thinning displayed in the cup drawing due to excessive bending and unbending occurs in small radius. in is noted more thinning occur in the punch profile region when use rd=3, the percentage of thinning reached to 5% while the maximum thickening occur in the cup edge when use rd=7, the percentage of thickening reached to 8%. these percentages are acceptable. fig. 8. the effect of die profile radius on the cup wall thickness along rolling direction. figure (9) presentations the influence of blank size on the cup wall thickness distribution in the direction of the rolling. it is evident that the thickness remains constant under the punch face (cup bottom) for all blank sizes ( no deformation occurs in this region), and decreases with increasing the blank size at the punch corner region, the more thinning occurs because of stretching in the punch profile region and then begins to rise until reaching maximum value at the cup rim with increasing the blank size. it is obvious from the figure the thickness of the cup in the base region for all blank sizes used is equal to the initial thickness of the blank 0.7mm, while in the punch profile region the thickness decreased to the 0.65mm for all sizes ob blank used and then increased to reach maximum value of thickness at the rim of the cup 0.77mm. fig. 9. the effect of blank size on the cup wall thickness along rolling direction. karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 48 5.3. comparison between numerical and experimental result the fea was performed to investigate the effects of the process parameters on the square cup drawing. in order to validate the finite element simulation results, the actual square cup drawings for mild steel materials have tool geometry [rp=5, rd=5] (punch and die profile radius mm), in different blank sizes were conducted and the experimental results were compared with the fe simulation results. in order to measure the cup wall thickness, the drawn cup was divided into two parts by using a diamond saw as shown in figure (10). heights of cups can be measured by using simple devices such as vernier caliper or ruler as shown in figure (11). fig. 10. the sample of divided cup. fig. 11. the sample of cup. figure (12) represents the cup height for different blank sizes theoretically and experimentally, it is noted from the figure there are low difference between lengths measured experimentally and numerically reached to 7% and this percentage of difference is acceptable value. figure (13) represents the thickness distribution along 0º with respect to rolling direction. it is evident from the figures that the predicted values and calculated values have the same trends, but they are different in values, the value of difference between them reached to 3%. this give indicator the numerical method used a powerful tool to simulate the sheet metal process to reduce the cost, time and effort. the difference between the fe and experimental results can be accounted for by possible errors in both analyses and experimental. in analyses the possible errors are due to the lack in the exact information about material properties and friction condition, in experimental the possible errors are due to the blank thickness variation, also due to the misalignment of the blank over the ring die. the errors in measurement of the forming loads result from fluid pressure losses in the hydraulic systems. fig. 12. the heights of the cup versus angle in degree from rd, a) fem and b)experimentally. karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 49 fig. 13. the distributions of the cup wall thickness experimentally and fem along rolling direction, a)fem, b)experimental. 6. conclusion the following are specific conclusions of the current research. 1. the deformation states vary along the square die cavity, the flow of metal at the corner of the cup is less uniform and more complex than that in the cup side walls. therefore square cup forming process experience very complicate. 2. the cup height is very affect by radial clearance between punch and die, decreasing in radial clearance will increasing the height of the cup. 3. increasing in blank size will increasing in the height of the cup. 4. most thinning appear in the corner cup due to excessive stretching occur in this region. 5. most thickening appear in the edge cup due to compressive stresses in this region. 6. increasing in die profile radius and blank size will reduce the thinning in the cup square cup drawn. 7. possible errors in both numerical analyses and experimental can be explained the difference between the fe and experimental results. 8. the earing in square cup depending on the planar anisotropy of sheet and difference in flow through the die cavity. 9. increased in the die profile radius increased to occur the wrinkling while decreased in the die profile radius increased the thinning in the cup. 7. references [1] pradipkumar n. patil, k.h. inamdar," a review on deep drawing of rectangular shaped parts ", asian journal of convergence in technology, volume ii, issue iii, issn no.:2350-1146, i.f-2.71,(2014). [2] j. s. colton," sheet metal forming", manufacturing processes and engineering, georgia institute of technology, version 1, 2009. [3] k. lange (ed.), handbook of metal forming, mcgraw-hill, new york, 1985. [4] f. ayari, t. lazghab, e. bayraktar," parametric finite element analysis of square deep drawing", archives of computational materials science and surface engineering, volume 1, issue 2, (2009). [5] erkan, o., erman tekkaya,. a." numerical simulation of various cross sectional workpieces using conventional deep drawing and hydroforming technologies", international journal of machine tools & manufacture 48, 532–542, 2008. [6] halil uibranhim demirci, cemal esner, mustafa yaser, " effect of the blank holder force on drawing of aluminum alloy square cup: theoretical and experimental analysis", jouneral of materials processing technology 206, 152-160, (2008). [7] karem. m. younis, makie. j. abd-rasul" effect of die and punch corner radii in the deep drawing on fracture of square cup ",m.sc thesis, department of production engineering and metallurgy, university of technological, (2013) . [8] mohsen hassan, labib hezam, mohamed elsebaie, judha purbolaksono, " deep drawing characteristics of square cups through conical dies ", procedia engineering 81 (2014 ) 873 – 880. [9] u pranavi, perumalla janaki ramulu, ch chandramouli, dasari govardhan, pvs.ram prasad, " formability analysis of aluminum alloys through deep drawing process", materials science and engineering, iop conf. series: materials science and engineering 149 (2016) 012025. karem muhsin younis al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 3951 (2018) 50 [10] b. sener, h. kurtaran," modeling the deep drawing of an aisi 304 stainless-steel rectangular cup using the finite element method and an experimental validation", materials and technology 50 (2016) 6, 961– 965. [11] h. vairavan, a.b. abdullah," die-punch alignment and its effect on the thinning pattern in the square-shaped deep drawing of aluminum alloy" international journal of materials and product technology 54(1/2/3):147 . january 2017. [12] e. ünal, c. özek, " a study on the wall thickness in the angular deep drawing process", materials testing, vol. 59, no. 2, pp. 178-182,2017. )2018( 39-51، صفحة 1د، العد14دجلة الخوارزمي الهندسية المجلم كريم محسن يونس 51 عملي و المحاكاة بالعناصر المحدد إلنتاج وعاء مربع بواسطة عملية السحب العميقبحث *** مصطفى محمد عبد الرزاق **عادل شبيب جابر كريم محسن يونس* الجامعة التكنولوجية /هندسة االنتاج والمعادن قسم*,**,** yahoo.comkamarabbas@89:*البريد االلكتروني adilshbeeb@yahoo.com **البريد االلكتروني: mustafaalneame@yahoo.com***البريد االلكتروني: خالصة لكثير من العيوب عملية السحب العميق المستخدمة إلنتاج أوعية المربعة الشكل هو عملية جدا معقدة وتسيطر عليه الكثير من المتغيرات وبالتالي ترافقها ا , حيث تم لتي تعطي أفضل النتائج ا المتغيرات هتحديد قيم هذالعملية ل المتغيرات بعض من هذهمثل التاذن والتجاعيد والكسر في األواني الناتجة. دراسة تأثير الظروف التي تعطي أفضل إلى اإلثبات التجريبيعدديا, إضافة لغرض دراسة تأثير هذا المتغيرات االعتماد على توزيع السمك واألعماق لوعاء المنتج هو هدف هذا البحث. دراسة عددية استخدمت لدراسة تجريبا وعاء مربع خالي من العيوب إلنتاج تقليل الجهود والوقت والكلفة لغرض فقط التنبؤات العددية عاء تأثير بعض المتغيرات من نص قطر تقوس القالب والخلوص بين القالب والخرامة و قطر الغفل على ارتفاع الوعاء و توزيع السمك على طول الو كاة لعملية السحب العميق المربع. تجارب عملية استخدمت لمقارنة المعتمد على طريقة العناصر المحددة استخدم إلجراء المحا ansysالمسحوب, برنامج اء,وقد تم استنتاج واثبات النتائج التي تم الحصول عليها من المحاكاة العددية. وعاء مربع خالي من العيوب تم إنتاجه مع توزيع مقبول السمك على طول الوع ات القاسية في هذا المنطقة و وقد وجد أيضا توافق بين نتائج التنبؤات العددية لتوزيع السمك ان الترقق غالبا ما يظهر عند زاوية الوعاء نتيجة للتشوه واالرتفاعات والتجارب العملية. default normal template n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 70 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.2, no.1,pp 70-77, (2006) direction finding using gha neural networks n. h. abbas electrical eng. dept., college of eng./ university of baghdad (received 4 september 2005; accepted 4 april 2006) abstract: this paper adapted the neural network for the estimating of the direction of arrival (doa). it uses an unsupervised adaptive neural network with gha algorithm to extract the principal components that in turn, are used by capon method to estimate the doa, where by the pca neural network we take signal subspace only and use it in capon (i.e. we will ignore the noise subspace, and take the signal subspace only). keywords: direction of arrival (doa), generalized hebbian algorithm (gha), principal component analysis (pca), capon. 1.introduction estimating the doa of the source is a central problem in the array signal processing. many methods for estimation the doa have been proposed, including the maximum likelihood (ml) technique [1], the minimum variance method of capon [2], and the music method of schmidt [9]. the ml method has the best performance. because of high computational load of the multivariate nonlinear maximization problem involved, the ml technique did not becomes popular. suboptimal methods are more prevalent than the ml technique when the signal_to_noise ratio and number of samples are both not too small, because the suboptimal methods involve solving only a one-dimensional maximization problem and subspace (signal subspace or noise subspace). this paper uses adaptive algorithm for extracting the subspace information based on the pca neural network. where we extract the principal component (i.e. the signal subspace only) by using of gha algorithm with adaptive learning rate, which then used by a capon to find the doa. the mapping of this paper is as follows: section two provides some background information. where the data model and the subspaces are present. in section three an expression for the capon method is presented. in section four an expression for neural estimator is presented. in section five a computer simulation using matlab 6.0 is provided to support the theoretical observations. 2.general consideration assume that plane waves emitted by d1 narrow band sources impinged on a uniform circular array (uca) consisting of n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 71 m sensors, and the doas of these sources (the azimuth angle is measured with respect to reference sensor, and elevation is measured with respect to z-axis as shown in figure (1) are [(θ1, φ1), (θ2, φ2),…, (θd, φd)].the array output vector at the k_th snapshot can then be expressed as x(k) =as(k)+n(k) (1) where s(k) is the d×1 vector of incident signals which are assumed to be zero mean stationary, complex and gaussian random processes n(k) is m×1 vector of additive noises which assumed to be zero mean random processes that are uncorrelated with each other and with the signals, and a is the steering (or direction) matrix given by a= [a(θ1,φ1), a(θ2,φ2),. . . a(θd,φd)].the steering vector corresponding to the i_th doa(θ,φ) is given by a(θi,φi)=[ a1(θ1,φ1)e -j*w 0 *τ1(θi,φi),. . ., am(θd,φd) e-j*w 0 *τm(θi,φi)] (2) where am (θi,φi) denotes the complex gain response of m_th sensor to a wave front arriving from direction (θi,φi),w0 denotes the center frequency of the signals ,and τm(θi,φi) denote the propagation delay between the sensors for a wave front impinging from direction (θi,φi) which is given by τi=j2πr/λsin (φi)cos (2πm/mθi) (3) where r is the radius of the circular array, and λ is the wavelength. the covariance matrix of the array signal vector is given by r =e[x(k)x(k) h] =asah +ỏn 2 i =rs +rn (4) where the superscript "h" denote the conjugate transpose .s=e[s (k) ×s (k) h] and ỏn 2 is the variance of the additive noise, let λ1≥ λ2≥ . . . λd≥ λd+1= . . . λm= ỏn 2, denote the eigenvalues of r and e1, e2. . .em denotes the corresponding eigenvectors. if the matrices es and en are formed as es= [e1, e2,. . ., ed] (5) and en=[ed+1, ed+2 . . .em] (6) then the linear span of es, known as the signal space, is same as spanned by the columns of a. the linear span of en, known as the noise subspace, is the orthogonal component of the signal subspace, then en h×a(θk,φk)=0 ,k=1,2,. . .,d. 3.the capon method the capon method tries to optimize the beamforming process according to the time varying covariance matrix .the spectrum is given by pmv (θ, φ) =1/(ah (θ, φ)r-1 a (θ, φ)) (7) the method minimizes the power contributed by the noise and signals originating from other direction the current steering direction. because r is consisting of a signal subspace and noise subspace, then we will take only the signal subspace rs, which is equal to es λs es (8) where λs is a diagonal matrix of the signal eigenvealues, and es is the corresponding eigenvectors as stated in (5).this feature of selection the signal subspace can be obtained by applying the principal component analysis (pca) neural network which extract the principal component i.e. λ1, λ2,. . . , λd and its corresponding eigenvectors e1,e2,. . . ,ed as illustrated in the next section. the number of sources is assumed known or we can find it by aic, or mdl [10]. 4.the neural estimator in the last years several papers dealing with pca neural networks [3],[4],[5],[6],[7],[8],[11]and [12] have discussed the advantages ,problems, and difficulties of such neural network (which is shown in figure 2) .in what follow we make use of an gha algorithm with adaptive learning rate . our neural estimator can be summarized in the following steps: n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 72 1) the gha algorithms for signal samples x(n): ferom n=1 to n (i) set error signal e0(n)=x(n) for every neuron: from j=1 to d (2) set wj(0) randomly (3) set ηj in accordance with input variance for input samples: from n=1 to n (4) yj(n)=x(n)h×wj(n-1) (5) wj(n)= wj(n-1)+ηj yj(n)[ej-1(n)-wj(n-1) × yj(n)] if │ wj(k)wj(k-1) │ < є (where є is very small value) then (6) wj=wj(n); go to stable (7) decrease ηj exponentially stable: for input samples: from n=1 to n (8) set yj(n)=x(n)h×wj (9) set error ej(n)=ej-1(n)-yj(n)wj 2) wj qj ,and yj jv where qj are the eigenvectors corresponding to eigenvalues vj. 3) doa estimator, we use the modified capon method where we take the synaptic weight as the eigenvector of the signalsubspace and the output of the pca neural network as the squire roots of the output [7]. then doa are obtained as the peak location of the function according to the equation pmcapon (θ, φ) =1/(ah (θ, φ)řs -1 a (θ, φ)). (9) where řs -1=inverse of řs, and řs=∑ d i=1 (yj) 2 wi wi h . 5.simulation in our simulation we will use a uniform circular array consisting of eight sensors of radius 5λ/π as shown in figure 1. assuming two noncoherent signals with the signal to noise ratio equal to one are impinging on the array and the first source have elevation angle θ1=50,and azimuth angle φ1=30, while the second source have elevation angle θ2=60, and azimuth angle φ2=40.then by the use of the gha algorithm we will find the signal subspace, that in turn are used by capon method to find the doa of impending sources as shown in figure 3,4, and 5,where figure 3 show the doa(θi,φi),figure 4 , show the azimuth angle only, while figure 5 show the elevation angle only, where the angle will be corresponding to the peak locations in the n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 73 spectrum of the capon as shown in previous figures. 6. discussion and conclusions this paper described a simple ,but efficient methods based on pca neural network to find the doa ,where by use of the pca neural network we don’t need to compute the correlation matrix r rather the first d eigenvectors of r are computed by the algorithm directly from the input data .the resulting computational saving can been enormous especially if the number of element m in the input vector is very large ,and the required number of the eigenvectors associated with the d largest eigenvalues of the correlation matrix r is small fraction of m..then the doa is achieved by incorporating the neural network with capon method, with use of signal subspace only. thus by the use of pca neural network we neglect part of the noise, due to the neglecting of the noise subspace. 7.refereneces [1] blester, y and macorski a., 1986 "exact maximum likelihood parameter estimation of superimposed exponential signals in noise", ieee trans. on acoustic, speech, and signal processing, vol. 34, pp. 1081-1089. [2] capon, j., 1969,"highresolution frequency – wavenumber spectrum analysis", proc. ieee, vol. 57, no. 8, august, pp. 1408 – 18. [3] chatterjee, c., kang, z., and roychowdhury, v., 2000, "algorithm for accelerated convergence of adaptive pca", ieee trans. on neural network, vol.11, no.2. [4] chchocki, a., kasprzak, w., and skarbek, w., 1996,"adaptive learning algorithm for principal component analysis with partial data", austrian society for syberenetic studies, vienna, austria. [5] chen ,t. ,and yan ,w. , 1998, "global convergence of oja׳s subspace algorithm for principal component extractions",vol. 9 ,no. 1. [6]chichoki, a., swiniarski, r., w., and bogner, r., e.,1996 ,"hierchical neural networks for robust pca computation of complex valued signals". [7] haykin, s., 1994, "neural network, a comprehensive foundation", © by macmillan college publishing company. inc. [8] kung, s., y., 1993, "digital neural network", © by ptr prentice hall, inc. [9] schmidt, r.o., 1986, "multiple emitter location and signal parameter estimation ", ieee trans.on antenna and propagation, vol. 34, no. 3, pp. 276 – 80. [10] wax, m., .and kailath, t., 1985, " detection of signals by information theoretic criteria", ieee trans. on acoustic, speech, and signal processing, vol. assp-33, no.2. [11] weinglessel, a., and hornik, k., 2000, "local pca algorithms", ieee trans. on neural network, vol. 11, no.6. [12] weinglessel, a., and hornick, k., 1996, "neural network algorithms for online principal component analysis and singular value decomposition ", tuien-central for computational intelligence. n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 74 x z θi φi ith plane wave figure 1: uniform circular array the reference sensor xn . x2 y1 y2 ym    . . . . . figure 2: the pca neural network. x1 n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 75 figure 4:the azimuth angle in degree the azimuth angle in degree t h e n o rm al iz ed s p ec tr u m figure 3: the doa( , ). n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 76 t h e n o rm al iz ed s p ec tr u m figure 5:the elevation angle in degree n. h. abbas /al-khwarizmi engineering journal, vol.2, no. 1,pp 70-77 (2006) 77 مع الشبكات العصبية ghaايجاد االتجاه باستخدام خوارزمية نزار هادي عباس ة /جامعة بغدادكلية الهندس /قسم الهندسة الكهربائية :الخالصة خوارزمياة ماع الاذاتي التعنايم ذات العصابية الشابكة اساتعمننا حياث. الوصاو زاوياة إليجااد عصبية شبكة تصميم تم البحث هذا في gha كاابون بطريقاة تستخدم بدورها التيو الدائري الترتيب ذات الهوائيات قب من ةالمستنم لإلشارة األساسية المركبات النتزاع (كاابون بطريقاة يساتخدم بادوره الاذيتاخاذ جازم مان ف اام االشاارة pca أ العصابية الشبكةان حيث. الوصو زاوية يجادإل .ال و ام ف ام هم وت موفق al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 7, no. 4, pp 27-40 (2011) control on a 2-d wing flutter using an adaptive nonlinear neural controller mauwafak a. tawfik* mohammed i. mohsin* hayder s. abd al-amir** * department of mechanical engineering /university of technology ** department of mechanical engineering /institute of technology email: has_04@yahoo.com (received 23 february 2011; accepted 6 july 2011) abstract an adaptive nonlinear neural controller to reduce the nonlinear flutter in 2-d wing is proposed in the paper. the nonlinearities in the system come from the quasi steady aerodynamic model and torsional spring in pitch direction. time domain simulations are used to examine the dynamic aero elastic instabilities of the system (e.g. the onset of flutter and limit cycle oscillation, lco). the structure of the controller consists of two models :the modified elman neural network (menn) and the feed forward multi-layer perceptron (mlp). the menn model is trained with off-line and on-line stages to guarantee that the outputs of the model accurately represent the plunge and pitch motion of the wing and this neural model acts as the identifier. the feed forward neural controller is trained off-line and adaptive weights are implemented on-line to find the flap angles, which controls the plunge and pitch motion of the wing. the general back propagation algorithm is used to learn the feed forward neural controller and the neural identifier. the simulation results show the effectiveness of the proposed control algorithm; this is demonstrated by the minimized tracking error to zero approximation with very acceptable settling time even with the existence of bounded external disturbances. keywords: adaptive nonlinear control, flutter, nonlinear system, neural network. 1. introduction the performance of aircraft is often limited by adverse aero elastic interactions such as flutter. flutter is defined as a dynamic instability of a flight vehicle associated with the interaction of aerodynamic, elastic, and inertial forces. if flutter can be controlled at cruise speeds, lighter wings can be designed and consequently more efficient airplanes. it is therefore, in the aircraft designer’s best interest to design innovative ways in which flutter can be controlled without making the resulting structure too heavy the nonlinear flutter models behavior is close to the systems in nature. however, the control on the flutter resulting from nonlinear models is not an easy task and need more development. in reality nonlinearities may be presented in various forms [1,2] .recently, many researches in this field proposed different nonlinear flutter controllers, where the linear controller could not effectively suppress the flutter [3]. palaniappan, et al. [4] developed a feedback algorithm for the control of nonlinear flutter. the actuators are jets in the walls through which there is a small mass flow, either by way of blowing or suction. afkhami and alighanbair [5] presented nonlinear controller to control flutter. integral-input-to-state stability concept is utilized for the construction of a feedback controller. haiwei and jinglong [6] proposed the robust flutter analysis of a nonlinear 2-d wing section with structural and aerodynamic uncertain using μ-method. the parametric uncertainty was adopted to describe the uncertainties in structure and aerodynamics. the nonlinear system was linearized at equilibrium point and μ analysis is performed for a set of values of flow velocities to generate the lower and upper bounds of robust flutter speed. for a typical section with a mailto:has_04@yahoo.com mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 28 structural nonlinearity, zeng and singh [7] have derived a nonlinear adaptive control based on the model reference adaptive control theory. the system design was based on an output feedback method that eliminates the requirement for full state reconstruction. however, the derived control system exhibits somewhat larger flap deflections in simulations than others. the neural networks were introduced in aero elastic field as nonlinear controller or flutter prediction device. melin and castillo[8] combined adaptive model-based control using neural networks with the method for modeling using fuzzy logic, and fractal theory to obtain a new hybrid neuro-fuzzy-fractal method for the control of nonlinear dynamic aircraft. the adaptive controller can be used to control chaotic and unstable behavior in aircraft systems. chen, et al. [9] presented an approach using artificial neural networks (ann) algorithm for predicting the flutter derivatives of rectangular section models without wind tunnel tests. the database of flutter derivatives was identified from a backpropagation (bp) ann model that is built using experimental dynamic responses of rectangular section models in smooth flow as the input/output data. these limited sets of database are employed as input/output data to establish a prediction ann frame model to further predict the flutter derivatives for other rectangular section models without conducting wind tunnel tests. the results presented indicate that this ann prediction scheme works reasonably well. the contribution of the present work is the utilization of a relatively simple approximation neural network to identify the posture of the non linear 2-d wing system and to design an adaptive nonlinear neural controller. 2. method of analysis 2.1. two dimensional aero elastic wing model the 2-d aero elastic wing section is shown in figure (1). the governing equations of motion are provided in [5] and are given as: lhkhcbmxhm ha −=+++ ..... hα mkchbmxi a =+++ αααα α )( . a .... …(1) where h is the plunge displacement and α is the pitch angle. in eq. (1), m is the mass of the wing; b is the semichord of the wing; i is the moment of inertia; xα is the nondimensionalized distance of the center of mass from the elastic axis; kh is plunge stiffness coefficient; )(ααk is nonlinear pitch stiffness ch and cα are plunge and pitch damping coefficients, respectively; l and m are the aerodynamic lift and moment. in the present work, the nonlinear quasi steady aerodynamic model including stall effect [10] and flap angle effect [5] is as follow 22 2 11 23 3 2 )( βρ βρααρ β βα l leffeffl bcu bcucbcul + +−= 22 22 11 223 3 22 )( βρ βρααρ β βα m meffeffm cbu cbuccbum + +−= …(2) where ρ is the air density, u is the flow velocity, and clα and cmα are the lift and moment coefficients. clβ and cmβ are the lift and moment coefficients per flap angle. β1 and β2 are flap angles. c3 is a nonlinear parameter associated with stall model. αeff is the effective angle of attack defined by /uα-d)b.(/uhα .. eff 50++=α …(3) where d is the non dimensional distance from the mid chord to the elastic axis. parameter c3 is defined as follow for naca 0012 airfoil (a symmetric wing section by national advisory committee for aeronautics), c3 = 0.00034189(180/π)3/clα …(4) this aerodynamic model is valid for αeff ∈ (−11, 11) degree. the function kα(α) is considered as a polynomial given by [10] kα(α) = kα1 + kα2α + kα3α2, … (5) where kαj , j = 1, 2, 3 are constants. fig.1. two-dimensional aero elastic model. mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 29 0 5 10 15 20 25 30 35 40 45 50 -0.1 -0.05 0 0.05 0.1 time (sec) al fa (r ad ) u=9.8 m/sec 0 5 10 15 20 25 30 35 40 45 50 -4 -3 -2 -1 0 1 2 3 4 x 10 -3 time (sec) pl un ge (m ) u=9.8 m/sec 0 5 10 15 20 25 30 35 40 45 50 -0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 time (sec) al fa (r ad ) u=9.9 m/sec 0 5 10 15 20 25 30 35 40 45 50 -3 -2 -1 0 1 2 3 x 10 -3 time (sec) pl un ge (m ) u=9.9 m/sec 2.2. nonlinear flutter analysis the proposed nonlinear controller must work in the unstable region .time domain simulation is used to examine the dynamic aeroelastic instabilities of the system (e.g. the onset of flutter and limit cycle oscillation (lco)) [11].the simulation is performed by solving eqs (1-5) and using runge kutta method for different velocities and initial conditions.it was found that lco appears at u=9.9m/sec and never appear at speed less than what ever the initial conditions. therefore the flutter speed is 9.9m/sec and the proposed nonlinear controller must give a good performance at speed higher than that value (unstable region). figure (2) shows the plunge h and pitch angle α responses at speed 9.8m/sec while the responses at speed 9.9m/sec are shown in the figure (3) the time responses of the plunge h and pitch angle α corresponding to the uncontrolled system at u=30m/sec, and 40m/sec are shown in figure (4).clearly, the system responses exhibit lco behaviour. it is clear that the amplitudes of lco increase with the velocity. the function of controller is to reduce amplitudes of lco at short settling time in order to eliminate the risk of damage of wing structure. fig.2. time history of pitch angle and plunging at 9.8 m/s speed and initial conditions ( radh 1.0)0(;0)0( == α ). fig.3. time history of pitch angle and plunging at 9.9 m/s speed and initial conditions () radh 1.0)0(;0)0( == α . mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 30 2.3. adaptive nonlinear neural control methodology the approach to control wing motion depends on the available information about the system and the control objectives. the 2-d wing system is considered as modified elman recurrent neural networks model. the first step in the procedure of the control structure is the identification of nonlinear dynamics of 2-d wing system from the input-output data. then a feed forward neural controller is designed using feed forward multilayer perceptron neural network to find flap angles that control the plunge and pitching wing motion. the proposed structure of the adaptive nonlinear neural controller can be given in the form of block diagram as shown in figure (5). it consists of: 1neural network identifier of 2-d wing system . 2feed forward neural controller. in the following sections, each part of the proposed controller will be explained in details. 2.4. nonlinear 2-d wing system neural network identifier the modified elman recurrent neural network model is applied to construct the 2-d wing system neural network identifier as shown in figure (5). the nodes of input, context, hidden and output layers are highlighted. the network uses two configuration models, series-parallel and parallel identification structures, which are trained using dynamic back-propagation algorithm. fig.4. time history of pitch angle and plunging at 30m/s and 40m/sec speed with initial conditions ( radh 1.0)0(;0)0( == α ). 0 5 10 15 20 25 30 35 40 45 50 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 time (sec) al fa (r ad ) u=30 m/sec 0 5 10 15 20 25 30 35 40 45 50 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 time (sec) al fa (r ad ) u=40 m/sec 0 5 10 15 20 25 30 35 40 45 50 -0.03 -0.02 -0.01 0 0.01 0.02 0.03 time (sec) pl un ge (m ) u=40 m/sec 0 5 10 15 20 25 30 35 40 45 50 -0.015 -0.01 -0.005 0 0.005 0.01 0.015 0.02 time (sec) pl un ge (m ) u=30 m/sec mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 31 fig.5. the proposed structure of the adaptive nonlinear neural controller for the 2-d wing . fig.6. the modified elman recurrent neural networks acts as the plunging and pitch motion of the wing. o cγ mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 32 the structure shown in figure (6) is based on the following equations: }),(),({)( vbbiaskvckgvhfk oγγ = …(6) )),(()( wbbiaskwko γ= …(7) where vh,vc and w are weight matrices, vb and wb are weight vectors and f is a non-linear vector function. the multi-layered modified elman neural network, shown in figure (7), is composed of many interconnected processing units called neurons or nodes. the network weights are denoted as follows: vh :weight matrix of the hidden layers. vc : weight matrix of the context layers. vb : weight vector of the hidden layers. w : weight matrix of the output layer. wb : weight vector of the output layer. l : denotes linear node. h : denotes nonlinear node with sigmoidal function. fig.7. the multi-layer perceptron neural networks of the feed forward neural controller. in order to improve the ability of network memory, self-connections, with fixed value λ , are introduced into the context units of the network to give these units a certain amount of inertia [13]. the introduction of self-connections in the context units increases the possibility of modelling highorder systems by elman network. the output of the context unit in the modified elman network is given by: )1()1()( −+−= kkk c o c o c ργλγγ …(8) where )(ko cγ and )(kcγ are the outputs of the context and hidden units respectively. λ is the feedback gain of the self-connections and ρ is the connection weight from the hidden units (jth) to the context units (cth) at the context layer. the value of λ and ρ are selected randomly between (0 and 1) [13] . to explain these calculations, consider the general jth neuron in the hidden layer. the inputs to this neuron consist of an i– dimensional vector, where i is the number of the input nodes. each of the inputs has vh and vc weights associated with it. vb is the weight vector for the bias input set equal to -1 to prevent the neurons quiescent. the first calculation within the neuron consists of calculating the weighted sum jnet of the inputs as [13 and 14]: j c c o cjc nh i ijij vbbiasvcgvhnet ×+×+×= ∑∑ == 11 γ …(9) where j.is the number of the hidden nodes, c is the number of the context nodes and g is the input vector. the outputs of the identifier are the modelling plunge and pitch motion and are defined as: t mmm hq ),( α= where mh : plunge motion of the wing identifier. mα pitch motion of the wing identifier. the learning algorithm will be used to adjust the weights of dynamical recurrent neural network. dynamic back propagation algorithm is used to train the elman network. the sum of the square of the differences between the desired outputs thq ),( α= and neural network identifier outputs t mmm hq ),( α= is given by equation (10). ))()(( 2 1 1 22∑ = −+−= np i mmhhe αα …(10) where np is the number of patterns. the connection matrix between hidden layer and output layer is kjw kj kj w ekw ∂ ∂ −=+∆ η)1( …(11) where η is the learning rate. kj k k k k m mkj w net net o o kq kq e w e ∂ ∂ ∂ ∂ ∂ +∂ +∂ ∂ = ∂ ∂ )1( )1( …(12) kjkj ekw ××=+∆ γη)1( …(13) )1()()1( +∆+=+ kwkwkw kjkjkj …(14) the connection matrix between the input layer and hidden layer is jivh mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 33 ji ji vh ekvh ∂ ∂ −=+∆ η)1( …(15) ji j j j j k k k k m mji vh net net net net o o kq kq e vh e ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ +∂ +∂ ∂ = ∂ ∂ γ γ )1( )1( …(16) ∑ = ×′×=+∆ k k kjkijji wegnetfkvh 1 )()1( η …(17) )1()()1( +∆+=+ kvhkvhkvh jijiji …(18) the connection matrix between context layer and hidden layer is jivc jc jc vc ekvc ∂ ∂ −=+∆ η)1( …(19) jc c c j j k k k k m mjc vc net net net net o o kq kq e vc e ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ +∂ +∂ ∂ = ∂ ∂ γ γ )1( )1( …(20) ∑ = ×′×=+∆ k k kjk o cjjc wenetfkvc 1 )()1( γη …(21) )1()()1( +∆+=+ kvckvckvc jcjcjc …(22) 2.5. feed forward neural controller the feed forward neural controller (ffnc) is essential to stabilize the tracking error of the wing system when the response of the wing is drifted from the desired condition during transient state and kept the steady-state tracking error at zero. the controller generates flap angles )(1 kβ and )(2 kβ control action that minimizes the cumulative error between the desired condition and the output response of the wing. the ffnc is supposed to learn the adaptive inverse model of the wing with off-line and on-line stages to calculate wing's reference input flap angle and keep the wing stable without flutter state in the presence of any disturbances or dynamics parameters changing. to achieve ffnc, a multi-layer perceptron model is used as shown in figure (7). the network notations are as follows: vffc : weight matr ix of the hidden layers. bffcv : weight vector of the hidden layers. wffc : weight matrix of the output layer. ffcwb : weight vector of the output layer. to explain these calculations, consider the general a th neuron in the hidden layer shown in figure (7.) the inputs to this neuron consist of an n–dimensional vector, where n is the number of the input nodes. each input has an associated weight of vffc . the first calculation within the neuron is to calculate the weighted sum of the inputs, anetc as [15, 16 and 17]: a nhc a nana vbffcbiaszvffcnetc ×+×= ∑ =1 …(23) where nhc is the number of the hidden nodes. next, the output of the neuron ah is calculated as the continuous sigmoid function of the anetc as: )( aa netchc =γ …(24) 1 1 2)( − + = − anetca e netch …(25) once the outputs of the hidden layer have been calculated, they are passed to the output layer. in the output layer, two linear neurons are used to calculate the weighted sum netco of its inputs, which are the output of the hidden layer as: b nhc a abab wbffcbiascwffcnetco ×+×= ∑ =1 γ …(26) where bawffc are the weights between the hidden neuron acγ and the output neurons. then the sum ( bnetco ) will be passed through a linear activation function of slope 1; another slope can be used to scale the output, as: )( bb netcoloc = …(27) the outputs of the feedforward neural network controller represent flap angles, )(1 kβ and )(2 kβ . the training of the feedforward neural controller is performed off-line as shown in figure (8). and adaptive weights are adapted on-line. it depends on the posture neural network identifier to find the wing jacobian through the neural identifier model. this approach is currently considered as one of the better approaches that can be followed to overcome the lack of initial knowledge. mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 34 the dynamic back propagation algorithm is employed to realize the training the weights of the feedforward neural controller. the sum of the square of the differences between the desired posture t rrr hq ),( α= and neural network posture t mmm hq ),( α= is: ))()(( 2 1 1 22∑ = −+−= npc i mrmr hhec αα …(28) where npc is the number of patterns. to achieve equation (28) a modified elman neural network will be used as posture identifier. this task is carried out using an identification technique based on series-parallel and parallel configuration with two stages to learn the posture identifier. the first stage is an off-line identification, while the second stage is an on-line modification of the weights of the obtained wing neural identifier. the on-line modifications are necessary to keep tracking any possible variation in the dynamic parameters of the 2-d wing system. back propagation algorithm (bpa) is used to adjust the weights of the posture neural identifier to learn dynamic of the 2-d wing system by applying a simple gradient decent rule. the connection matrix between the hidden layer and the output layer is bawcont ba ba wffc eckwffc ∂ ∂ −=+∆ η)1( …(29) ba b b b b b b m mba wffc netc netc oc oc k k kq kq ec wffc ec ∂ ∂ ∂ ∂ ∂ ∂ ∂ +∂ +∂ ∂ = ∂ ∂ )( )( )1( )1( β β …(30) ab b b b m mba cnetcf oc k k kq kq ec wffc ec γ β β )( )( )( )1( )1( ′ ∂ ∂ ∂ +∂ +∂ ∂ = ∂ ∂ …(31) )1( ))()(( 2 1 )1( 22 +∂ −+−∂ = +∂ ∂ ∑ kq hh kq ec m mrmr m αα …(32) )( )1( k kqjacobian b m β∂ +∂= …(33) )( )( )( )1( )( )1( k net net net net ko ko kq k kq b j j j j k k k k m b m β γ γβ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ +∂ = ∂ +∂ …(34) for linear activation function in the outputs layer: )()( )1( k net net net k kq b j j j j k b m β γ γβ ∂ ∂ ∂ ∂ ∂ ∂ = ∂ +∂ …(35) for nonlinear activation function in the hidden layer: )( )( )( )1( 1 k net netfw k kq b j j k k kj b m ββ ∂ ∂ ′= ∂ +∂ ∑ = …(36) ∑ ∑ = = ′= ∂ +∂ nh j k k kjjbj b m wvhnetf k kq 1 1 )( )( )1( β …(37) substituting equations (32 and 37) into equation (31), )1( +∆ kwffcba becomes: )))1(( ))1((()()1( 2 1 1 jm jm nh j jbjaba wke wkehvhnetfckwffc ++ +′×=+∆ ∑ = α ηγ …(38) )1()()1( +∆+=+ kwffckwffckwffc bababa …(39) the connection matrix between the input layer and the hidden layer is anvffc an an vffc eckvffc ∂ ∂ −=+∆ η)1( …(40) fig.8. the structure of the feed forward neural controller for wing model. mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 35 × ∂ ∂ × ∂ ∂ × ∂ ∂ = ∂ ∂ b b b b ban netc oc oc k k ec vffc ec )( )( β β an a a a a b vffc netc netc c c netc ∂ ∂ × ∂ ∂ × ∂ ∂ γ γ …(41) × ∂ ∂ ∂ +∂ +∂ ∂= ∂ ∂ b b b m man oc k k kq kq ec vffc ec )( )( )1( )1( β β an a a a a b b b vffc netc netc c c netc netc oc ∂ ∂ × ∂ ∂ × ∂ ∂ × ∂ ∂ γ γ …(42) na b b ba b m man znetcfwffc k kq kq ec vffc ec ×′×× ∂ +∂ +∂ ∂ = ∂ ∂ ∑ = )( )( )1( )1( 1β …(43) substituting equations (32 and 37) into equation (43), )1( +∆ kvffcan becomes: )))1(())1((()( )()1( 21 1 1 1 jmjm nh j i i jij b b baanan wkewkehvhnetf wffcnetcfzkvffc +++′ ′=+∆ ∑ ∑ ∑ = = = α η …(44) the b and i are equal to two because there are two outputs in the feedforward neural controller. )1()()1( +∆+=+ kvffckvffckvffct ananan …(45) once the feedforward neural controller has learned, it generates the flap control action to keep the output of the wing at reference value and to overcome any external disturbances during motion. 3. results and discussion the proposed controller is verified with computer simulation using c++ program. the dynamics model of 2-d wing system described in section 2 is used. the simulation is carried out by tracking a desired plunging and pitch angle during flutter or limit cycle oscillation condition. the parameter values of a two degree of freedom (2dof) airfoil system (typical section model) are taken from [5] see table (1). the fist stage of operation is to set the position (plunging motion) and orientation about the elastic axis (pitch angle) neural network identifier. this task is performed using seriesparallel and parallel identification technique configuration with modified elman recurrent neural networks model. the identification scheme of the nonlinear mimo (2-dof) airfoil system are needed to input-output training data pattern to provide enough information about dynamics (2dof) wing model to be modelled. this can be achieved by injecting a sufficiently rich input signal to excite all process modes of interest while also ensuring that the training patterns adequately covers the specified operating region. a hybrid excitation signal has been used for the 2-d wing model. figure (9) show the input signals )(1 kβ and )(2 kβ ,. table 1, system parameters [5] b 0.135 m d -0.45 m 12.387 kg xa 0.25 i 0.065 kg.m2 kh 2844.4 n/m kα(α) 12.77+53.47α+1003α2 n/rad [11] ch 27.43 cα 0.036 ρ 1.225 kg/m3 clα 6.28 cmα -0.635 clβ1 3.358 c lβ2 3.458 c mβ1 -0.635 c mβ2 -0.735 the training set is generated by feeding a pseudo random binary sequence (prbs) signals, to the model and measuring its corresponding outputs, position (plunging motion) and orientation (pitch angle), with a sampling time of 0.01 second. this value was found adequate for the stability and convergence of solution. back propagation learning algorithm is used with the modified elman recurrent neural network of the structure 5-7-7-2. the number of nodes in the input, hidden, context and output layers are 5, 7, 7 and 2 respectively as shown in figure (6). fig.9. the prbs input flap angles signals used to excite the wing model. mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 36 0 20 40 60 80 100 120 140 160 180 200 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 sampling time 0.01 sec pl un gi ng (m ) h hm a training set of 200 patterns has been used with a learning rate of 0.1 and variable speed inputs u=[25, 30, 35, 40 and 45] m/sec. after 5439 epochs, the identifier outputs of the neural network, position (plunge motion) and orientation about (pitch angle), are approximated to the actual outputs as shown in figure (10). the objective cost function mse is less than 16×10-5 as shown in figure (11). parallel configuration is used to guarantee the similarity between the outputs of the neural network identifier and the actual outputs of the plunging motion and pitch angle of the wing. at 3859 epochs the same training set patterns has been achieved with an mse less than 1.9×10-6. the testing set is generated by difference feeding a prbs signals as shown in figure (12), and it is applied to the system. figure (13) compare the time response of the parallel mode output with the actual plant output, and there is excellent identification. fig.10. the response of the neural network identifier with the actual 2-d wing model output for the learning set. fig.13. the response of the neural network identifier with the actual 2-d wing model output for the testing set. fig.12. the prbs input flap angles signals used for testing 2-d wing identifier model. fig.11. the mse of the cost function. 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 0 600 1200 1800 2400 3000 3600 4200 4800 5400 epochs m s e mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 37 the final stage of the proposed controller is feedforward neural controller. it uses multi-layer perceptron neural network 6-13-2 as shown in figure (7). the desired conditions has been learned by the feedforward neural controller with off-line and on-line adaptation stages using back propagation algorithm as shown in figure (8) to find the suitable control action. the controller performance is simulated at three values of the flight speed (30, 35, 45 m/sec) in unstable region and at different initial conditions of plunging motion and pitch angle. figure (14) shows the closed loop responses for the controlled 2-d wing system. the controller reach the requirements and the closed-loop simulation obtained is stable .the over shoot and settling time increase slightly with the increasing of the velocity. also the oscillation during the transient period appears with the increasing of the velocities, but its amplitude is small and converge of desired condition is quick with settling time 0.4sec at high velocity u=40m/sec. in figure (15) the responses of the controller effort (flap angles) at u=30m/sec and 40m/sec are shown. it is clear that the control action β1 has large values in comparing with another control action β2 .also the control actions never exceed ± 0.3 rad. the values of flap angles are limited from -0.3 to 0.3 rad. to make the controller works in logical limits. the values of the initial conditions are varying to make the nonlinear stable or unstable, so the present controller performance is tested at different initial conditions as shown in figure (16). when the initial values of plunging and pitch angle increase the over shoot and the oscillation increase during the transient period. the plunging initial value has large effect on the responses than pitch angle initial value. but the present controller can give acceptable performance and reaches to desired condition at very short settling time about 0.2sec. this result compares very well with reference [5]. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 -10 -8 -6 -4 -2 0 2 4 x 10 -3 time (sec) pl un gi ng (m ) u=30m/sec u=35m/sec u=40m/sec 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 time (sec) al fa (r ad ) u=30m/sec u=35m/sec u=40m/sec fig.14. system responses with controller at different speed and initial conditions ( radh 1.0)0(;0)0( == α ). fig.15. control efforts at different speed and initial conditions ( radh 1.0)0(;0)0( == α ). mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 38 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 time (sec) al fa (r ad ) u=40m/sec 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 -8 -6 -4 -2 0 2 4 x 10 -3 t ime (sec) pl un gi ng (m ) u=40m/sec finally, to investigate the present controller performance at difficult conditions, the disturbance action is introduced on the wing model at high velocity u=40m/sec. in figure (17) the responses of controller with sinusoid disturbance has been shown. the amplitude of disturbance is taken as 300% the maximum values of control actions and frequency 10 hz. in spite of the existence of bounded disturbances the adaptive learning and robustness of neural controller show small effect of these disturbances. the controller achieves the desired condition with very small fluctuation. for plunging and pitch motions the fluctuation was 0.00055 m and 0.0068 rad. respectively. these values are less than the maximum fluctuation for the same wing section [18] (about 0.048b for plunging and 0.024 rad. for pitch motion). 4. conclusions in the current work, it has been shown that the proposed controller has the capability to generate fig.17. system responses with sinusoid disturbanceat initial conditions ( radh 1.0)0(;0)0( == α ). smooth and suitable flap commands, 1β and 2β without sharp spikes. moreover, it has the capability of effectively eradicating the tracking errors for the 2-d wing model. the principal conclusions may be summarized as follows: excellent identification is achieved when comparing the time response of the parallel mode output with the actual plant output. the controller reach the requirements and the closed-loop simulation obtained is stable. the over-shoot and settling time increase slightly with the velocity. the amplitude of oscillation during the transient period is small and converge to desired condition. the controller worked in logical limits, the control action never exceeds ± 0.3 rad. the plunging initial value has large effect on the response than pitch angle initial value. simulation results show that the proposed controller is robust and effective in comparison with the controller in [5] in terms of fast response with minimum settling times and minimum fig.16. system responses with controller at different initial conditions. mauwafak a. tawfik al-khwarizmi engineering journal vol. 7, no. 4, pp 27-40(2011) 39 tracking error despite the presence of bounded external disturbances. 5. references [1] shams sh., sadr m.h.,and haddadpour h. " nonlinear aeroelastic response of slender wings based on wagner function", thinwalled structures ,vol 46 (2008) pp.1192– 1203 [2] woolston ds, runyan hl,and andrews re. "an investigation of certain types of structural nonlinearities on wing and control surface flutter" j aeronaut sci, vol 24,(1957),pp.57–63. [3] frampton, k.d., and clark, r.l. "experiments on control of limit cycle oscillations in a typical section" , aiaa paper 99-1466’. proc.40th structures, structural dynamics and material conf., st. louis, mo, (1999), pp. 2195–2055 [4] palaniappan k, sahu p.and alonso j.j " design of adjoint based laws for wing flutter control",american institute of aeronautics and astronautics paper aiaa(2009)-148. [5] afkhami s. and . alighanbari h. "nonlinear control design of an airfoil with active flutter suppression in the presence of disturbance", iet control theory appl., vol. 1, no. 6, november (2007) [6] haiwei, y. and jinglong h. " robust flutter analysis of a nonlinear aeroelastic system with parametric uncertainties", aerospace science and technology , vol 13 ,(2009) pp.139–149 [7] zeng, y., and singh, s.n "output feedback variable structure adaptive control of an aeroelastic system", j. guidance control dyn.,vol 21, (1998), pp. 830–837 [8] melin p.and castillo o." adaptive intelligent control of aircraft systems with a hybrid approach combining neural networks, fuzzy logic and fractal theory", applied soft computing vol3, (2003) pp.353–362 [9] chen c., wu j.and chen j. " prediction of flutter derivatives by artificial neural networks", journal of wind engineering and industrial aerodynamics ,vol. 96 ,(2008), pp.1925–1937 [10] demenkov m. "form local to global stabilizility of aeroelastic oscillation",18th ieee international conference on control apllictions ,saint petersburg ,russia, 2009. [11] abbas1 l k, chen1 q. and milanese a. " non-linear aeroelastic investigations of store(s)-induced limit cycle oscillations", j. aerospace engineering vol. 222 part g (2008). [12] ogata k.modern control engineering, prentice-hall international.inc(1970) [13] pham d. t. and xing l. " neural networks for identification, prediction and control", springer, (1995). [14] s. omatu, m. khalid, and r. yusof "neurocontrol and its applications" london: springer-velag, 1995. [15] zurada j. m., introduction to artificial neural systems. jaico publishing house, pws pub co. (1992). [16] k. s. narendra and k. parthasarathy, “identification and control of dynamical systems using neural networks,” ieee trans. neural networks, vol. 1,pp. 4-27, 1990. [17] k. s. narendra and k. parthasarathy, “gradient methods for the optimization of dynamical systems containing neural networks,” ieee trans. neural networks, vol. 2 no. 2, pp. 252-262, 1991. [18] abu-tabikh,m.i." modeling of steady and unsteady tturblunent boundary layer separation using vortex hybrid method ", ph.d thesis, department of mechanical engineering, u.o.t, baghdad,1997. )2011( 27 40 ، صفحة4 ، العدد7مجلة الخوارزمي الھندسیة المجلد موفق علي توفیق 40 مسیطرثنائي األبعاد باستخدام جناح السیطرة على رفرفة متكیفعصبي ال خطي **األمیر حیدر صباح عبد * محسن إدریسمحمد . د * موفق علي توفیق. د الجامعة التكنولوجیة /قسم ھندسة المكائن والمعدات * بغداد -معھد التكنولوجیا /قسم الھندسة المیكانیكیة ** الخالصة ت الالخطی ة ف ي منظوم ة الم ؤثرا تنش ا .ثن ائي األبع اد جن اح مسیطر عصبي الخطي متكیف للسیطرة عل ى الرفرف ة لنم وذج اقتراح البحث تم في ھذا غی ر مس تقر م ن خ الل فح ص ت م تحدی د المنطق ة الت ي یك ون فیھ ا النظ ام .الت أرجح شبھ المستقر والنابض أاللتوائي باتج اه الجناح من النموذج االیرودینامي من نموذجین ھما الشبكة العصبیة تتكون ھیكلیة المسیطر. رفرفة والتذبذب الدوري المحدداستجابتھ مع الزمن حیث تم إیجاد السرعة التي تبدأ عندھا ظاھرة ال الخ ط مرحل ة و ل ق الخ ط المغ ھم ا مرحل ة ن م رحلتی ف ي ) menn( النم وذج لقد تم تأھیل. )mlp(و بیرسبتون متعدد الطبقات ) menn(المحسنة أللمن ت م .حركة التأرجحیة والحركة العمودیة لتكوین النموذج العص بي المع رف مخرج منظومة الجناح وھومع العصبي خرج النموذجم المفتوح لضمان تطابق الخ ط المفت وح إلیج اد زاوی ة الخافق ة المطلوب ة الت ي من خالل الخط المغلق ثم تم تحدیث األوزان لھذا المسیطر م ن خ الل تأھیل المسیطر العصبي األمامي نتائج المحاكاة لھذا المسیطر العصبي الالخطيكانت . االنتشار الخلفي لتأھیل النموذجینتم استخدام خوارزمیة .والحركة العمودیة التأرجحتسیطر على حركة .وضاء خارجیةمع وجود ض لى صفر وبزمن استقرار مناسبمن خالل تقلیل الرفرفة إ فعالة w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 26 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.1, no.1,pp 26-37, (2005) the determination of critical-sampling scheme of preprocessing for multiwavelets decomposition as 1st and 2nd orders of approximations. w. a. mahmoud* z. j. m. saleh** n. k. wafi* electrical engineering dept / college of engineering /university of baghdad*. information engineering dept ./ al-khwarizmi engineering college / university of baghdad** abstract one of the important differences between multiwavelets and scalar wavelets is that each channel in the filter bank has a vector-valued input and a vector-valued output. a scalar-valued input signal must somehow be converted into a suitable vector-valued signal. this conversion is called preprocessing. preprocessing is a mapping process which is done by a prefilter. a postfilter just does the opposite. the most obvious way to get two input rows from a given signal is to repeat the signal. two rows go into the multifilter bank. this procedure is called “repeated row” which introduces oversampling of the data by a factor of 2. for data compression, where one is trying to find compact transform representations for a dataset, it is imperative to find critically sampled multiwavelet transforms schemes which this paper focuses on finding a simple and easy to follow algorithm for its computation. one famous multiwavelet filter used here is the ghm filter proposed by geronimo, hardian, and massopust. the ghm basis offers a combination of orthogonality, symmetry, and compact support, which can not be achieved by any scalar wavelet basis. using a computer program for the proposed method, an example test on lena image is verified which shows image properties after a single level decomposition and the reconstructed image after reconstruction. keyword: discrete multiwavelete transform (dmwt), inverse discrete multiwavelete transform (idmwt), critical-sampling, schema of processing. 1. introduction as multiwavelet filter banks require a vector-valued input signal, there are a number of ways to produce such a signal from 2-d signal image data. perhaps the most obvious method is to use adjacent rows and columns of the image data [6]. however, this approach does not work well for general multiwavelets and leads to reconstruction artifacts in the lowpass data after coefficient quantization [6]. this problem can be avoided by constructing “constrained” multiwavelets, which possess certain key properties. unfortunately, the extra constraints are somewhat restrictive; image compression tests show that constrained multiwavelets do not perform as well as some other multifilters [2]. another approach is to first split each row or column into two half-length signals, and then use these two half signals as the channel inputs into the multifilter. a naive approach, as strela points out [6], is to simply take the odd samples for one signal and the even samples for the second signal this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 27 . 2. multiwavelets theory as in the scalar wavelet case, the theory of multiwvelets is based on the idea of multiresolution analysis (mra), analyzing the signal at different scales or resolutions. the difference is that multiwavelets have several scaling functions. the standard multiresolution has one scaling function (t) [2]. for notational convenience, the set of scaling functions can be written using the vector notation (t)[1(t), 2(t)… r(t)] t ,where (t) is called the multiscaling function. likewise, the multiwavelet function is defined from the set of wavelet functions as (t)[1(t), 2(t)… r(t)] t. when r=1, (t) is called a scalar wavelet, or simply wavelet. while in principle r can be arbitrarily large. the multiwavelets studied to date are primarily for r=2 [7]. the multiwavelet two-scale equations resemble those for scalar wavelets:    k k ktht )2(2)( (1)    k k ktgt )2(2)( (2) note, however, that {hk} and {gk} are matrix filters, i.e., hk and gk are r r matrices for each integer k. the matrix elements in these filters provide more degrees of freedom than a traditional scalar wavelet. these extra degrees of freedom can be used to incorporate useful properties into the multiwavelet filters, such as orthogonality, symmetry, and high order of approximation. the key, then, is to figure out how to make the best use of these extra degrees of freedom. multifilter construction methods are already being developed to exploit them. however, the multi-channel nature of multiwavelets also means that the sub-band structure resulting from passing a signal through a multifilter bank is different. sufficiently different, in fact, so that established quantization methods do not perform as well with multiwavelets as they do with wavelets [2]. one famous multiwavelet filter is the ghm filter proposed by geronimo, hardian, and massopust [3]. the ghm basis offers a combination of orthogonality, symmetry, and compact support, which can not be achieved by any scalar wavelet basis [8]. according to eqs.(1) and (2) the ghm two scaling and wavelet functions satisfy the following two-scale dilation equations:                k k kt kt h t t )2( )2( 2 )( )( 2 1 2 1     (3)                k k kt kt g t t )2( )2( 2 )( )( 2 1 2 1     (4) where hk for ghm system are four scaling matrices h0, h1, h2, and h3, [9], , 2 1 20 9 0 25 3 , 210 3 20 1 5 4 25 3 10                            hh                             0 20 1 00 , 210 3 20 9 00 32 hh also, gk for ghm system are four wavelet matrices g0, g1, g2, and g3, [9],                              0 210 9 2 1 20 9 , 10 3 210 1 210 3 20 1 10 gg                             0 210 1 0 20 1 , 10 3 210 9 210 3 20 9 32 gg there are four remarkable properties of the geronomo-hardin-massopust scaling functions, as follows [2]:  they each have short support (the intervals [0,1] and [0,2]).  both scaling functions are symmetric, and the wavelets form a symmetric/antisymmetric pair.  all integers translates of the scaling functions are orthogonal.  the system has second order of approximation. while the very first multiwavelet literature goes back further [7], some of the earliest developed multiresolution theory of multiwavelets can be found in a paper by goodman et al. [10]. strela's in his ph.d. thesis [6] extends the theory of multiwavelets even further and presents it in terms of pr multifilter banks in both the time and frequency domains. the 2×2 matrix filters in our multiwavelet filter bank require vector inputs. thus, a 1-d input signal must be transformed (5) (6) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 28 into two 1-d signals. this transformation is called pre-processing. for some multiwavelets, the pre-processing must be accompanied by an appropriate pre-filtering operation that depends on the spectral characteristics of the multiwavelet filters [11]. however, some multiwavelets obviate the pre-filtering (and the pre-processing) operation due to certain desirable properties of their basis functions; these multiwavelets are called balanced multiwavelets [1]. 3. a critically-sampled scheme of preprocessing: approximation-based preprocessing a different way to get input rows for the multiwavelet filter bank is to preprocess the given scalar signal f [n]. for data compression, where one is trying to find compact transform representations for a dataset, it is imperative to find critically sampled multiwavelet transforms schemes [3]. a preprocessing algorithm based on the approximation properties of the continuous-time multiwavelets, which yields a critically sampled signal representation suggested by j. geronimo and developed by v. strela, p. niels, and g. strang [2]. let the continuous-time function f (t) belong to the scale-limited subspace v0 generated by translates of the ghm scaling functions. this means that f (t) is a linear combination of translates of those functions [2]:   n nn ntvntvtf )()()( 2 )0( ,21 )0( ,1  (7) suppose that the input sequence f [n] contains samples of f (t) at half-integers: ).2/1(]12[ ),(]2[  nfnfnfnf (8) 1(t) vanishes at all integer points. 2(t) is nonzero only at the integer 1. sampling the eq. (8) at integers and half-integers gives: )0( ,22 )0( ,11 )0( 1,22 )0( 1,22 )2/1()2/1()2/3(]12[ )1(]2[ nnn n vvvnf vnf       the coefficients )0( ,2 )0( ,1 , nn vv can be easily found from (9): )1( ]22[ )2/1()1( ]2[)2/3(]22[)2/1(]12[)1( 2 )0( ,2 12 222)0( ,1        nf v nfnfnf v n n taking into account the symmetry of 2(t), )1( ]22[ )2/1()1( ])2[]22[)(2/1(]12[)1( 2 )0( ,2 12 22)0( ,1        nf v nfnfnf v n n the eq. (11) give a natural way to get two input rows )0( ,2 )0( ,1 , nn vv starting from a given signal f [n]. to synthesize the signal on output, invert eq.(11) and recover eq.(9) [2]. 4. multiwavelets transform computation: basic principles for computing discrete multiwavelet transform, a transform matrix can be written as follows [12]:                 ..................... ...00 ...00 ...00 ...00 3210 3210 3210 3210 gggg hhhh gggg hhhh where hi and gi are the lowand high-pass filter impulse responses. they are 2-by-2 matrices which can be written as follows:                                 ........................... ........................... ...0000 ...0000 ...0000 ...0000 ............... ............... ............... ............... 1,10,11,10,1 1,00,01,00,0 1,10,11,10,1 1,00,01,00,0 1,10,11,10,1 1,00,01,00,0 1,10,11,10,1 1,00,01,00,0 1100 1100 1100 1100 1100 1100 1100 1100 gggg gggg hhhh hhhh gggg gggg hhhh hhhh by examining the transform matrices of the daub4 scalar wavelet [13] and the corresponding one of multiwavelets as shown in (12), one can see that in the multiwavelets transform domain there are first and second lowpass coefficients followed by first and second high pass filter coefficients rather than one lowpass coefficient followed by one highpass coefficient. therefore, if we separate these four coefficients, there are four subbands in the transform domain [14]. (9) (10) (11) (13) (12) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 29 5. a general procedure for computing dmwt using a critically-sampled scheme of preprocessing a general procedure can be made for computing a single-level 2-d discrete multiwavelets transform using ghm four multifilters and using a critically-sampled scheme of preprocessing (approximation-based scheme of preprocessing) described in sec.3. by using a critically-sampled scheme of preprocessing (approximation-based scheme of preprocessing), the dmwt matrix has the same dimensions of the input which should be a square matrix nn where n must be power of 2. transformation matrix dimensions which should be equal to image dimensions after preprocessing will be nn for a critical-sampled scheme of preprocessing. there are two orders of approximation types of critically-sampled preprocessing 1st order and 2nd order approximations. for the eq.(10) and using ghm scaling function graph (fig. 1a), values for 1(1/2), 2(1/2), 2(1) and 2(3/2) should be found for first order approximation. for any nn image matrix and using the eq. (10), 1st order approximation-based preprocessing can be summarized as follows where every two rows generate two new rows: afor any odd row, row])-evenious(3/2)[prevrow]-evennext )[2/1( row]-oddsame)[1(( )2/1()1( 1 row-oddnew 22 2 12      (14) b-for any even-row, )1( row-evensame row-evennew 2  (15) it can be seen from fig. 1a that the values of 1(t) and 2(t) are non-zero for t values of [0, 2]. since these functions are generated from a 256 sample then: 1. 1(1/2) = the 64th value in the iterated vector of 1, 2. 2(1/2) = the 64th value in the iterated vector of 2 = 2(3/2), 3. 2(1) = the 128th value in the iterated vector of 2. substituting values of 1(1/2), 2(1) and 2(1/2) in eqs.(14) and (15) for 1st order approximation results, row]-even previous)[11086198.0(row]-evennext )[11086198.0( row]-odd same)[373615.0(row-oddnew   (16) row]-evensame)[12(row-evennew  (17) for 2nd order approximation, eqs. (16) and (17) become, row]-even previous)[28/3(row]-evennext )[88/3( row]-oddsame)[28/10(row-oddnew   (18) row]-evensame[row-evennew  (19) it should be noted that when computing the first odd row, the previous even-row in eq. (16) is equals to zero. in the same manner, when computing the last odd row, the next even-row in eq. (16) is equals to zero. the same thing is valid for eq. (18). it is obvious now why the dimension of the resulting matrix after approximation-based preprocessing has the same dimension as before preprocessing. the following procedure for computing dmwt using approximation-based preprocessing is valid for both 1st and 2nd order of approximation with one exception of using eqs.(16) and (17) for 1st order approximation preprocessing step and eqs. (18) and (19) for 2nd order approximations preprocessing step: 1.checking image dimensions: image matrix should be a square matrix, nn matrix, where n must be power of 2. so checking input image dimensions is the first step of the transform procedure. if the image is not a square matrix some operation must be done to the image like resizing the image or adding rows or column of zeros to get a square matrix. 2.constructing a transformation matrix: using the transformation matrix (12) format, an n/2n/2 transformation matrix should be constructed using ghm lowand high-pass filters matrices given in (5) and (6) respectively. after substituting ghm matrix filter coefficients values as given by this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 30 (13), an nn transformation matrix results with same dimensions of input image dimensions after preprocessing. 3.preprocessing rows: approximation-based row preprocessing can be computed by applying eqs. (16) and (17) to the oddand even-rows of the input nn matrix respectively for the 1st order approximation preprocessing. for 2nd order approximation preprocessing, eqs. (16) and (17) are replaced with eqs. (18) and (19) for preprocessing oddand even-rows of the input nn matrix respectively. input matrix dimensions after row preprocessing is the same nn. 4. transformation of image rows: i. apply matrix multiplication to the nn constructed transformation matrix by the nn row preprocessed input image matrix. ii. permute the resulting nn matrix rows by arranging the row pairs 1,2 and 5,6 …, n3, n2 after each other at the upper half of the resulting matrix rows, then the row pairs 3,4 and 7,8,…, n1,n below them at the next lower half. 5.preprocess columns: to repeat the same procedure used in preprocessing rows, i. transpose the row transformed nn matrix resulting from step 4. ii. repeat step 3 to the nn matrix (transpose of the row transformed nn matrix) which results in nn column preprocessed matrix. 6.transformation of image columns : transformation of image columns is applied next to nn column preprocessed matrix as follows: i. apply matrix multiplication to the nn constructed transformation matrix by the nn column preprocessed matrix. ii. permute the resulting nn matrix rows by arranging the row pairs 1,2 and 5,6 …, n3, n2 after each other at the upper half of the resulting matrix rows, then the row pairs 3,4 and 7,8,…, n1, n below them at the next lower half. 7.the final transformed matrix: to get the final transformed matrix: i. transpose the resulting matrix from column transformation step. ii. apply coefficients permutation [15] to the resulting transpose matrix. the final dmwt matrix using approximation-based preprocessing has the same dimensions, nn, of the original image matrix. 6. a general example for computing dmwt using a critically-sampled scheme of preprocessing to verify the general procedure for computing single-level dmwt using criticallysampled scheme of preprocessing, let’s take a general 2-d signal, for example any 88 matrix, and apply the following steps: 1. let x be the input 2-d signal,                            7,76,75,74,73,72,71,70,7 7,66,65,64,63,62,61,60,6 7,56,55,54,53,52,51,50,5 7,46,45,44,43,42,41,40,4 7,36,35,34,33,32,31,30,3 7,26,25,24,23,22,21,20,2 7,16,15,14,13,12,11,10,1 7,06,05,04,03,02,01,00,0 xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx x 2. for an 88 matrix input 2-d signal, x, construct a 44 (n/2n/2) transformation matrix ,w2, using ghm lowand highpass filters,              1032 1032 3210 3210 2 gggg hhhh gggg hhhh w as ghm filters, h’s and g’s, are 22 matrices, the transformation matrix, w2, dimension after substituting filters coefficients values will be 88 (nn) matrix with same dimension of the input matrix after approximation-based preprocessing. (20) (21) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 31 3. apply row preprocessing to the input 2-d matrix, x, using approximation-based preprocessing which results in a matrix, even odd even odd even odd even odd a rows preprocess even odd even odd even odd even odd 7,76,75,74.73,72,71,70,7 7,66,65,64.63,62,61,60,6 7,56,55,54.53,52,51,50,5 7,46,45,44.43,42,41,40,4 7,36,35,34.33,32,31,30,3 7,26,25,24.23,22,21,20,2 7,16,15,14.13,12,11,10,1 7,06,05,04.03,02,01,00,0 7,76,75,74.73,72,71,70,7 7,66,65,64.63,62,61,60,6 7,56,55,54.53,52,51,50,5 7,46,45,44.43,42,41,40,4 7,36,35,34.33,32,31,30,3 7,26,25,24.23,22,21,20,2 7,16,15,14.13,12,11,10,1 7,06,05,04.03,02,01,00,0                                                           aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx x i1st order approximation-based preprocessing, any odd row in the approximation preprocessed [a] matrix can be found from its corresponding odd row of [x] matrix with the even row previous and next to it in the [x] matrix. in the same manner any even row in [a] matrix can be found from its corresponding even row of [x] matrix. using eqs.,(16) and (17), this can be done as follows, ])[11086198.0(])[11086198.0( ])[373615.0( row-even previousrow-evennext row-oddsamerow-odd xx xa   ])[12( row-evensamerow-even xa  ii2nd order approximation-based preprocessing, any odd row in the approximation preprocessed [a] matrix can be found from its corresponding odd row of [x] matrix with the even row previous and next to it in the [x] matrix. in the same manner any even row in [a] matrix can be found from its corresponding even row of [x] matrix. using eqs.,(18) and (19), this can be done as follows, ])[28/3(])[28/3( ])[28/10( row-evenpreviousrow-evennext row-oddsamerow-odd xx xa   ][ row-evensamerow-even xa  4. row transformation is performed as follows, i. let, [ z ]= [w2][a] (27) ii. permute [z],                            7,76,75,74,73,72,71,70,7 7,66,65,64,63,62,61,60,6 7,56,55,54,53,52,51,50,5 7,46,45,44,43,42,41,40,4 7,36,35,34,33,32,31,30,3 7,26,25,24,23,22,21,20,2 7,16,15,14,13,12,11,10,1 7,06,05,04,03,02,01,00,0 zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzxzzzz zzzzzzzz zzzzzzzz z                            7,76,75,74,73,72,71,70,7 7,66,65,64,63,62,61,60,6 7,36,35,34,33,32,31,30,3 7,26,25,24,23,22,21,20,2 7,56,55,54,53,52,51,50,5 7,46,45,44,43,42,41,40,4 7,16,15,14,13,12,11,10,1 7,06,05,04,03,02,01,00,0 zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzxzzzz zzzzzzzz zzzzzzzz p 5. apply column transformation, i. transpose [p] matrix.                            7,77,67,37,27,57,47,17,0 6,76,66,36,26,56,46,16,0 5,75,65,35,25,55,45,15,0 4,74,64,34,24,54,44,14,0 3,73,63,33,23,53,43,13,0 2,72,62,32,22,52,42,12,0 1,71,61,31,21,51,41,11,0 0,70,60,30,20,50,40,10,0 t zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz zzzzzzzz p ii. preprocess [p]t in the same manner of preprocessing described in step 3 (i and ii) above to get [p] matrix. iii. let [b] = [w2][p] (30) iv. permute [b] to get [b] matrix which is 88 matrix also.                            7,7 7,6 7,5 7,4 7,3 7,2 7,1 7,0 6,7 6,6 6,5 6,4 6,3 6,2 6,1 6,0 5,7 5,6 5,5 5,4 5,3 5,2 5,1 5,0 4,7 4,6 4,5 4,4 4,3 4,2 4,1 4,0 3,7 3,6 3,5 3,4 3,3 3,2 3,1 3,0 2,7 2,6 2,5 2,4 2,3 2,2 2,1 2,0 1,7 1,6 1,5 1,4 1,3 1,2 1,1 1,0 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0,0 b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b                            7,7 7,6 7,3 7,2 7,5 7,4 7,1 7,0 6,7 6,6 6,3 6,2 6,5 6,4 6,1 6,0 5,7 5,6 5,3 5,2 5,5 5,4 5,1 5,0 4,7 4,6 4,3 4,2 4,5 4,4 4,1 4,0 3,7 3,6 3,3 3,2 3,5 3,4 3,1 3,0 2,7 2,6 2,3 2,2 2,5 2,4 2,1 2,0 1,7 1,6 1,3 1,2 1,5 1,4 1,1 1,0 0,7 0,6 0,3 0,2 0,5 0,4 0,1 0,0 b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b 6. the final dmwt matrix [y]results from apply the following: i. transpose [b] matrix to get [y] matrix ii. apply coefficients permutation to each of the four basic subbands of matrix [y] to get the final dmwt matrix [y].                        7,76,75,74,73,72,71,70,7 7,66,65,64,63,62,61,60,6 7,56,55,54,53,52,51,50,5 7,46,45,44,43,42,41,40,4 7,36,35,34,33,32,31,30,3 7,26,25,24,23,22,21,20,2 7,16,15,14,13,12,11,10,1 7,06,05,04,03,02,01,00,0 ][ yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy y (31) (28) permute permute (24) (22) (23) (25) (26) (29) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 32                        7,75,76,74,73,71,72,70,7 7,55,56,54,53,51,52,50,5 7,65,66,64,63,61,62,60,6 7,45,46,44,43,41,42,40,4 7,35,36,34,33,31,32,30,3 7,15,16,14,13,11,12,10,1 7,25,26,24,23,21,22,20,2 7,05,06,04,03,01,02,00,0 ][ yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy yyyyyyyy y 7. a computer test two general computer programs computing a single-level dmwt using a critical-sampled scheme of preprocessing (1st and 2nd order approximation) are written using matlab v.6.5 for a general nn 2-d signal (or image). an example test is applied to “lena” image by using this computer program of the proposed method for computing discrete multiwavelets transform using a critical-sampled scheme of preprocessing and the results are shown in fig.2 and fig.3for the 1st and 2nd order approximations respectively. as shown in both figs.2 and 3, the original “lena” image, fig. 2a, and 3a dimensions are 512512 (nn). after a single-level of multiwavelets decomposition using a criticalsampled scheme of preprocessing, image dimensions will be a matrix of 512512 (nn) as shown in figs. 2b and 3b. the upper-left most, l1l1, subband of 128128 dimension, is zoomed in as in figs. 2c and 3c. 8. a general procedure for computing inverse dmwt using a critically-sampled scheme of postprocessing to reconstruct the original 2-d signal (nn matrix) from the discrete multiwavelets transformed 2-d signal the inverse discrete multiwavelets transform (idmwt) should be used. a general procedure can be followed for computing a single-level 2-d discrete multiwavelets inverse transform using ghm four multifilters and using a critically-sampled scheme of postprocessing (approximation-based scheme of postprocessing). by using a critically-sampled scheme of preprocessing (approximation-based scheme of preprocessing), the dmwt matrix has the same dimensions of the input which should be a square matrix nn where n must be power of 2. so, to reconstruct the original nn matrix, a reconstruction matrix, which is the inverse (or transpose) of transformation matrix given (12), dimensions should be equal to critical-sampled preprocessed dmwt nn matrix dimensions. as there are two orders of approximation types of critically-sampled preprocessing, 1st order and 2nd order approximations, there are correspondingly two types of critically-sampled postprocessing methods that should be followed; one for each order of approximations. to compute a single-level 2-d inverse discrete multiwavelets transform using critically-sampled scheme of postprocessing, the next steps should be followed: 1. coefficients shuffling [15], which is applied to the dmwt nn matrix four basic subbands individually. for each subband, coefficients shuffling, shuffles columns first then rows. 2. column reconstruction, i. transpose the coefficients shuffled nn matrix. ii. apply shuffling by arranging the row pairs 1,2 and 3,4,…,(n/2)1,n/2 of the coefficients shuffled nn matrix transpose to be the row pairs 1,2 and 5,6,…, n3, n2 of the resulting matrix and arranging the row pairs (n/2)+1,(n/2)+2 and (n/2)+3,(n/2)+4,…, n1,n of the coefficients shuffled 2n2n matrix transpose to be the row pairs 3,4 and 7,8,…, n1, n of the resulting matrix. iii. multiply an nn reconstruction matrix (nn transformation matrix (12) transpose) with the resulting nn shuffled matrix from ii. 3. postprocessing, a critical-sampled scheme of postprocessing can be computed as follows: i. 1st order approximation postprocessing: can be computed by applying the equations: coff. perm. (32) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 33 )373615.0(/ row]]-even previous)[11086198.0(row]-evennext [ )11086198.0(row]-odd same[[row-odd   (33) )12(row]/-evensame[row-even  (34) to the oddand even-rows of the column reconstructed nn matrix respectively. ii. 2nd order approximation postprocessing: can be computed by applying the equations: )28/10(row]]/-even previous)[28/3( row]-evennext )[88/3(row]-oddsame[[row-odd   (35) row]-evensame[row-even  (36) to the oddand even-rows of the column reconstructed nn matrix respectively. 4. row reconstruction i. transpose the postprocessed nn resultant matrix. ii. apply shuffling by arranging the row pairs 1,2 and 3,4,…,(n/2)1,n/2 of the nn postprocessed resultant matrix transpose to be the row pairs 1,2 and 5,6,…, n3, n2 of the resulting matrix and arranging the row pairs (n/2)+1, (n/2)+2 and (n/2)+3, (n/2)+4,…, n1, n of the nn postprocessed resultant matrix transpose to be the row pairs 3,4 and 7,8,…, n1, n of the resulting matrix. iii. multiply a nn reconstruction matrix (nn transformation matrix (12) transpose) with the resulting nn shuffled matrix from ii 5. postprocessing, a critical-sampled scheme of postprocessing can be done by the same process of step 3 above which results in the nn original reconstructed 2-d signal matrix. 9. a general example for computing inverse dmwt using a critically-sampled scheme of postprocessing to verify idmwt procedure in the previous section, apply it to the 88 matrix, [y], given in (32) as the nn critically-sampled preprocessed dmwt matrix to reconstruct 88 matrix, [x], given in (20) as the nn original 2d signal matrix as follows: 1. apply coefficients shuffling to each subband of [y] matrix of (32) which results in [y] matrix of (32). 2. column reconstruction applied now to [y] matrix of (32), i. transpose [y] to get [b] matrix given in (31). ii. apply shuffling to [b] matrix given in (31) to have [b] matrix of (31) as a result of shuffling. iii. using [w2] matrix given in (21), [p] = [w2] t [b] (37) 3. postprocessing [p] matrix results in [p]t given in (29). 4. row reconstruction applied on [p] matrix, i. transpose [p] t matrix of (29) which results in [p] matrix of (28). ii. apply shuffling to [p] matrix given in (28) to get [z] matrix of (28) as a result of shuffling. iii. using [w2] matrix given in (21), [a] = [w2] t [z] (38) [a] is given in (22). 5. critically-sampled postprocessing [a] matrix results in [x] of (20) which is the original reconstructed 2-d signal. 10. a computer test two general computer programs computing a single-level idmwt using a critical-sampled scheme of postprocessing (1st and 2nd postprocessing) are written using matlab v.6.5 for a general 2n2n 2-d decomposed image. an example test is applied to the decomposed lena image shown in figs.2b and 3b to reconstruct the original “lena” image by using those computer programs of the proposed this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 34 method of computing inverse discrete multiwavelets transform using 1st and 2nd order approximations postprocessing respectively and the results is shown in fig.4. 11. conclusion multiwavelets filter banks require a vector-valued input signal. this is another issue which is addressed when multiwavelets are used in the transform process. a scalar-valued input signal must somehow be converted into a suitable vector-valued signal. this conversion is called preprocessing. the most obvious way to get two input rows from a given signal is to repeat the signal using repeated row preprocessing (over-sampled scheme of preprocessing). an approximationbased preprocessing algorithms have been also used as a critical-sampled scheme of preprocessing the signal. using a critical-sampled scheme of preprocessing (approximation-based preprocessing) ensures the same original image dimensions while using an over-sampled scheme of preprocessing (repeated row preprocessing) introduces an oversampling of data by a factor of 2 which doubles the original image dimensions. in the same time, the upper-left most subband (l1l1) of the decomposed image using criticalsampling scheme of preprocessing, which usually the 2nd, 3rd,… levels of decompositions are applied to it, has quarter dimensions of the original while the upper-left most subband (l1l1) of the decomposed image using an over-sampled scheme of preprocessing has half dimensions of the original. so that critical-sampled representation of the signal minimizes the redundancy for data compression applications. it should be mentioned here also that discrete multiwavelets transform computation algorithm using a critical-sampled scheme of preprocessing (approximation-based preprocessing) should be applied to a matrix with a size at least equal to 88. also matrix approximation scheme is the scheme that is chosen for multiwavelet compression. such a scheme will keep the same size of the matrix to be transformed after preprocessing. (b) (a) fig. 1: ghm pair of , (a) scaling functions, (b) multiwavelets. fig.2: lena image, (a) original, (b) after singlelevel of dmwt using a critical-sampled scheme of preprocessing(1st order approx.) and, (c) zoomed in upper-left most, l1l1 , subband of (b). (a) (b) (c) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 35 (a) (b) fig.3: lena image, (a) original, (b) after single-level of dmwt using a critical-sampled scheme of prepro.(1st order approx.) and, (c) after single-level of dmwt using a critical-sampled scheme of prepro. (2nd order approx.) (b) fig.4: (a) reconstructed lena image using idmwt and 1st order approx. postprocessing, (b) reconstructed lena image using idmwt and 2nd order approx. postprocessing, and (c)original lena image (a) (c) (c) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 36 12. references 1. michael b. martin, applications of multiwavelets to image compression, m.sc. thesis in electrical engineering, virginia polytechnic institute and state university(virginia tech),blacksburg, virginia, june, 1999. 2. vasily strela, peter niels heller, gilbert strang, pankaj topiwala, and christopher heil, the application of multiwavelet filterbank to image processing, ieee transactions on image processing, vol. 8, no. 4, pp(548-563),april 1999. 3. j. geronimo, d. hardin, and p. r. massopust, fractal function and wavelet expansions based on several functions, j. approx. theory, vol.78, pp(373-401), 1994). 4. yun q. shi, huifang sun: image and video compression for multimedia engineering, fundamentals, algorithms, and standards, crc press llc, 2000. 5. panrong xiao: image compression by wavelet transform, m.sc. thesis, dept. of computer and information science, east tennessee state university, august, 2001. 6. vasily strela, multiwavelets: theory and applications, ph.d. thesis, massachusetts institute of technology, 1996. 7. michael b. martin and amy e. bell, member, ieee, new image compression techniques using multiwavelets and multiwavelet packets, ieee transactions on image processing, vol. 10, no. 4, april 2001. 8. daubechies, ten lectures on wavelets, pp.(251-254), siam, 1992. 9. v. strela and a. t. walden, orthogonal and biorthogonal multiwavelets for signal denoising and image compression, proc. spie, 3391:96-107, 1998. 10. t. n. t. goodman and s. l. lee, wavelets of multiplicity r, trans. of the amer. math. society, 342(1):307-324, march 1994. 11. p. p. vaidyanathan, multirate systems and filter banks, prentice hall, englewood cli_s, nj, first edition, 1993. 12. s. dunn: digital color, http://davis.wpi.edu/~matt/courses/color. 13. k. sayood, and morgan kaufmann, introduction to data compression, lecture 01-2003 spring text book, second edition, academic press, http:// www.cs.sunysb.edu/~amohr/cse391/200 3-spring/ lectures/cse391-lecture01.pdf. 14. j. ziv, a. lempel: a universal algorithm for sequential data, compression, ieee trans. inform. theory, 1977, vol. 23, no. 3, pp. 337343. 15. w. a. mahmoud, z. j. m. saleh, and n. k. wafi, a simple and easy to verify algorithm for computing ghm multiwavelets transform and inverse transform using an over-sampled scheme of preprocessing and postprocessing respectively, journal of engineering, college of engineering, university of baghdad, accepted for publication, een/68, 2004. !! !! !! !! !!this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ w. a. mahmoud /al-khwarizmi engineering journal ,vol.1, no. 1,pp 26-37 (2005) 37 !! !! !! !! œ! ƒ! ! !œ!!!!!! !! ! ƒ! š!!!! ! œ! !œ!ž !! ! !œ!!œ!! ! œ!! œƒ!! !!!! ! š!œ!! !! !! !œ!¾ƒ!! !!œ!! œ! š!!! ! !! ! œ!! !!! !œ!! ! !! œ!ƒ! !!!! œ!!! !! !! !! !! !!!! ! š! !! ƒ! œ!!ƒ!!!!!!!!!!!!!!!!!!!! š! !¾! ! !!œƒ!!š!œ!!!!!!!!!!!!!!!! !!!! !! !¾ƒ!! !! œ! !!!! !! !œ!!! ! ! !!!! ! !!! !!!!! !!! ! !!! !!!! !!!!!!!! !!!ÿ! !š!! ! !! !! ! !ÿ! !!!! ! !!! !!! !!! ! ! ! !! ! !!!! ! !!! !! !!!!!!!! !!!ÿ! !š!! ! ! ! ! !œ!!! !!!!!!!!!!! œ! !! œ! ! ! ! ! œ!! œ!! ¾œ! !œ! ! œƒ! !! !¾! ! œ! ¾ƒ! š!!œ! ! !! !ƒ! ! !œ! ! ! ƒ! ! !œ! ¾ƒ! š!! ! ! œ! ƒ! ! !œ! !!!!! ! ! ! ƒ! š!! ! ƒ!! ! œ!! !! œ! ƒœ!! ƒ!!!! ! œ!! ! œ! ! œ!! œƒ! !! !œ! !! ! ! !!ƒ!! ! ƒ!!!! !!¾ƒ! š!! ! ! !! œ! ! œ!šƒ! ! ƒš! ! !! !šœ! ! ! ! ! ! ! ! ! ! !!!! ! ƒ! œƒ!! !œ! !! œ! ! œ!! œ ! ! ž! œ! ! !œ! ! œ! ƒ! ! !œ!dmwt! !ž! œ! ! ! ! ! ž! ! ! œ!! ¾œ! !œ! ! œƒ! !! ! ! !œ!! !! !œ! !ƒ! !!!! ! !ƒ! ! ! !œ! ƒœ! ! ! ! !!! ! •! ƒ!! !!! œƒ! ! ! ž! œ! ! !! ! ž! !! !!! ƒ! œƒ!! !œ!!!º !!! ƒ! ! !!œ!! !!! ƒ!! !!œ!!!! !! ! !!!!! !!! ! !œ!! ! !œ!! !œ!!! !! !!š! ! ! !! ! œ! ! !!!!!!!!!š! ! ! !œ!œ! ! ! !!!! !! !! !! ƒ!ž š! !œ!!!!! œ! ! œ!! œ! !!!! !!! ! !ƒ!! !ƒ!! !!! œ! œ!! ! !! œƒ! !! !œ!! ! !! ƒž! !! !! !¾! ! š!!!! !ƒ! ! !š! ! !!! œ!!! ! !! !!œ ! ƒ!œ! ! œ! !!œ! ! ! !œ!! !œ! ¾œ! !!! œ!! ! !! !œ! ! ! !!! ! !!! !! !! ¾! œ!!œ! ! œ!!! !! ! ƒ!œ! œ! ! ! !! !! ¾! !!! ! !ƒ! ! !œ!ï! !!! ! !! !!œ! ! !!!œ! !!! ! ! ! š!œ!! ! !! !! !œ!! ! ƒ!! !!œ!!œ! œƒ!!! !!œ!! œ!œ! š!! !œ!! œ!š!!¾œš!! !!! !! !! ! ! !•! ƒ!! ! œ!š! ! ! !œ!! ! ! !! œ!! !!œ! !!!œ!!! ƒ!œ! ! œ!! !! š!ƒ!!! ž!œ!! œ!!! œ! ! !!! !œ!! ƒ!! !!! œ!ƒ!! !!! ž!!•! !!!! ! !! !!! œ!!! !!œ! !!œ! !!œƒ! !! !!! ƒ!! !œ! !!! ! ! ! ! !œ!! ƒ! !! !! ž!œ!! !œ! œ!! ! ! ! !œ! ! œ! !!!! ! !!! ! !œ! ! ! !œ!! !œ! !! ! !! ž! ! !!! ! !!! ! !œ! ! ! !œ!! !œ! ! !ƒ! ! ! ! œ!! ƒ! !!!œ!! !!! ! ! !! ! ! !ƒ! ! ! ! ! ! ! ! ! œ! !! œ! !! ! ! ! ! ! œ! !šœ!! !! ! ! !! !! ! !œ!! œ!œ! š!œ!! ! !¾!!ƒ! ! !!œ! ! ! ! š! ! !! !! !¾ƒ!! !!! ! š!!œ!œ!! ! ! !!œ! !œ! š!!dmwt! !œ!! !œ! œ!œ! !!œ! !! ! ! ! œƒ! !! !œ!! ƒ!! !!! œ!œ! š!! !!! !! ž!œ!¾ƒ!!!!! !! this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ د محمد واميل al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 7, no.4, pp 61 -75 (2011) simulation of oxygen mass transfer in an internal loop airlift reactor with axial dispersion model mohammed a. atiya* ameel mohammed rahman** aseel abd al-jabbar** *ministry of higher education and scientific research/ research and development department ** department of biochemical engineering/ al-khwarizmi college of engineering/university of baghdad (received 7 february 2011; accepted 18 october 2011) abstract the effect of superficial gas velocity within the range 0.01-0.164 m/s on gas holdup (overall, riser and down comer), volumetric oxygen mass transfer coefficient, liquid circulation velocity was studied in an internal loop concentric tubes airlift reactor (working volume 45 liters). it was shown that as the usg increases the gas holdup and also the liquid circulation velocity increase. also it was found that increasing superficial gas velocity lead to increase the interfacial area that increases the overall oxygen mass transfer coefficient. the hydrodynamic experimental results were modeled with the available equations in the literature. the predicted data gave an acceptable accuracy with the empirical data. the final empirical and predicted data were adopted in a mathematical model for oxygen mass transfer to predict the oxygen profile along the reactor. the predicted results have been validated with the experimental results. the simulated results based on the dispersion model for the riser and down comer and the perfect mixed model for the gas-liquid separator, agreed well with the experimental results over the studied range of operating conditions. keywords: airlift bioreactor, reactor, dissolved oxygen; modeling, axial dispersion model, hydrodynamics, mixing, internal loop, liquid circulation velocity, gas holdup. 1. introduction airlift reactors (alrs) are pneumatic contactors and have attracted considerable attention compared to the continuous stirred tank reactor (cstr) due to their simple construction without internal moving parts, high heat and mass transfer capacity, and excellent mixing properties with low power requirements (guillermo et al., 2009; yuwei, et al., 2008; chisiti, 1989); and their effectiveness has been proven in numerous applications, including synthesis of methanol or dimethyl ether from synthetic gas, coal liquefaction, fischer–tropsch synthesis, petroleum refining, and fermentation systems (peter et al., 2010; giovannettonea, et al., 2009; tongwang et al., 2005; chisti, 1989). the hydrodynamic behavior of the gas and liquid flows in airlift reactors is very complicated. the convective and diffusive transfer with volume reactions are realized simultaneously. the convective transfer is a result of a laminar or turbulent (large-scale pulsations) flows. the diffusive transfer is molecular or turbulent (smallscale pulsations). the volume reactions are mass sources as a result of chemical reaction and interphase mass transfer (chisti, 1989). an accurate description of the performance of airlift bioreactors is still difficult. one of the most important factors in the operation of airlift reactors is the rate of gas-liquid mass transfer which control the uptake and removal of low soluble components such as oxygen and carbon dioxide. a number of empirical correlations for estimating mass transfer in terms of the overall mass transfer coefficient (kla) were available according to various geometrical and operational conditions of the contactor. this parameter is important for the construction of mathematical mass transfer model for the (alr) as it provides information on the rate at which mass transfer takes place through the mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 62 gas-liquid interface. several mathematical models for mass transfer based on material conservation principals in the alr have been proposed. these models considered the alr to be composed of several regions for which mixing characteristics were different. for example, fields and slater (1983) showed that, in a concentric tube alr, gas-liquid separator behaved almost like a perfectly mixed model, whereas the riser and downcomer could be represented by axial dispersion models. verlaan (1989) and merchuk and yunger (1990) used the plug flow model to represent the flow in the riser and downcomer. these mixing characteristic models were then applied to evaluate mass transfer characteristics in alr. andré et al. (1983) used a tank-in-series model for both riser and downcomer to incorporate backmixing, and the gas separator was considered as a well-mixed region in describing mass transfer in external loop alr. the same attempts were adopted by tongwang et al., (2005). dhaouadi et al. (2001) proposed the model where gas and liquid flow in riser and downcomer were considered as plug flow but the mixed zones at the separator and the bottom junction were neglected. these literatures showed that oxygen concentration profiles in alr could be predicted by mathematical models based on material conservation equations. in general, the plug flow with dispersion is best to describe the behavior of liquid and gas flow in riser, whereas the cstr model is best to describe the behavior of liquid and gas flow in gas-liquid separator. in the downcomer, there are differences between external loop and internal loop alr. in external loop alrs, the interaction between gas and liquid in the downcomer may be neglected without interrupting the predicting capability of the model because there exists very little, if not none, amount of gas in this section. however, this situation is unlikely for internal loop alrs where a large fraction of gas holdup is usually present in the various sections of the system. mathematical models for the internal loop alr were usually more complicated and subjected to parameter fittings with experimental data. this limits the use of the models to some specific experimental ranges. this work intends to investigate the accuracy of the mass transfer model developed for the internal loop alr by assuming the alr to comprise three interconnecting sections where the interactions between gas and liquid in each section is taken into consideration. to ensure the general use of the model, parameter estimations are performed using independent experiments, and in many cases, they are obtained from other independent sources. 2. mathematical model development in the present work the mathematical model for the proposed alr is developed by dividing the whole reactor into three main regions: riser, downcomer and gas separator which is located at the top of the reactor. a mixture of gas and liquid moves from the riser to gas separator. a large fraction of gas bubbles disengages from the system here whilst liquid and the remaining portion of gas move further to the downcomer. in this last section, no gas supply is provided and the fluid content moves downwards and reenters the riser at the bottom of the column together with the inlet gas. in this proposed mathematical model for the present system, each part of the alr is considered separately as illustrated in fig.1. the riser and downcomer are represented by the dispersion model with the exchange of oxygen between gas and liquid phases in each volume element. no liquid is added or removed from the system, whereas gas enters the system only at the bottom section of the riser and leaves the contactor at the gas separator. the behavior of the gas separator is assumed to be well mixed. hence, the overall model is represented by a series of various types of reactors, i.e. dispersion stirred tank-dispersion. the following assumptions are considered to simplify the development of this model (chisti, 1989; znad et al., 2004): 1. ideal gas behavior in the system. 2. isothermal conditions. 3. the effect of hydrostatic head on solubility of oxygen is negligible (for small-scale systems). 4. the overall oxygen volumetric mass transfer coefficient is uniform for all regions in the reactor. 5. the gas holdup is uniform within each individual region. 6. the hydrodynamic parameters, e.g. gas holdups, liquid circulation flowrate, are not a function of time and space. 7. there is no radial effect in the alr. 8. oxygen is sparingly soluble in water and henry’s law can be applied to explain the solubility of oxygen in the contactor. mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 63 fig. 1. schematic diagram representing the internal loop in the present alr. 3. material balances in alr regions the proposed model provides simultaneous differential equations which are material balances of the dissolved oxygen. the unsteady state material balance of dissolved oxygen can be written as follows: 3.1. riser section for gas phase oxygen concentration: at rr lz <<0 : ( ) tzo h tzo k z tzo d z tzo v t tzo rlr rgr la gr gr r rrg gr r rrg gr rrg         − − − ∂ ∂ + ∂ ∂ −= ∂ ∂ ),( ),(1 ),(),(),( 2 2 ε ε …(1) for liquid phase oxygen concentration: tzo h tzo k z tzo d z tzo v t tzo rlr rgr la r rrl gr r rrl gr rrl       − + ∂ ∂ + ∂ ∂ −= ∂ ∂ ),( ),( ),(),(),( 2 2 …(2) 3.2. downcomer section for gas phase oxygen concentration: at dd lz <<0 : ( ) tzo h tzo k z tzo d z tzo v t tzo dld dgd la gd gd d ddg gd d ddg gd ddg       − − − ∂ ∂ + ∂ ∂ −= ∂ ∂ ),( ),(1 ),(),(),( 2 2 ε ε …(3) for liquid phase oxygen concentration in the downcomer: tzo h tzo k z tzo d z tzo v t tzo dld dgd la d ddl gd d ddl gd ddl         −+ ∂ ∂ + ∂ ∂ −= ∂ ∂ ),( ),(),( ),(),( 2 2 …(4) where h: is the henry's law constant. 3.3. gas separator section for the gas oxygen concentration: ( ) ( ) o h o k v oqzovalzova t o lt gt la gt gt tgt gtoutgdgdgddgdrrgrgrrgrgt       −         − − −=−= = ∂ ∂ ) 1 0 , ε ε ε εε …(5) for the liquid oxygen concentration: ( ) ( ) ( ) ( ) ( ) o h o k v zovalzova t o lt gt la tgt dldlddgdrrlrlrrgrlt       − + − =−−=− = ∂ ∂ ) 1 011 ε εε …(6) table 1 lists the initial and boundary conditions which are used to solve these equations. r is e r d o w n co m e r n=1 n=٢ n=n-1 n=n m=1 m=2 m=m-1 m=m gas liquid separator gas out gas in mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 64 table 1, initial and boundary conditions for each section of the present alr . riser section i.c. gas ( ) 00,0 ==≤≤ tlzo rrgr b.c.1 ( )0,0 >= tzo rgr = ( )         +>= rgr ingingrgddgd av oqtzoav ,,0,0 b.c.2 /s)(m 3 , flowrategasinletq ing = ( ) ( )00, >=>= totlzo gtrrgr i.c. liquid ( ) 00,0 ==≤≤ tlzo rrlr b.c.1 ( ) ( )0,0,0 >==>= tlzotzo ddldrlr b.c.2 ( ) ( )00, >=>= totlzo ltrrlr downcomer section i.c. gas ( ) 00,0 ==≤≤ tlzo ddgd b.c. ( ) ( )00,0 >=>= totzo gtdgd i.c. liquid ( ) 00,0 ==≤≤ tlzo ddld b.c. ( ) ( )00,0 >=>= totzo ltdld gas separator section i.c. gas ( ) 00 ==togt liquid ( ) 00 ==tolt i.c.: initial condition b.c.: boundary condition 4. hydrodynamic and gas-liquid mass transfer correlations hydrodynamic behavior is essential for the understanding of the phenomena taking place in alr. due to their strong influence on mass transfer performance, they have received considerable attention from most investigators. hydrodynamic parameters of interest in design are the overall gas holdup, the gas holdups in the riser and in the downcomer, the magnitude of the induced liquid circulation and the liquid phase dispersion coefficients in various regions of the reactor. 4.1. gas holdup correlations the volume fraction of gas (or gas holdup) is an essential parameter for the design of airlift contactors. due to the configuration of airlift contactors that allow aeration in the riser, gas holdup in riser is usually higher than the downcomer. this difference in gas holdups is the main cause of pressure difference, which creates liquid circulation pattern. the overall gas holdup in term of riser, downcomer and gas separator gas holdups was calculated using the following equation (chisti, 1989; zhonghuo, 2010): aa gdgrdggr ))(/( εεεε −+= …(7) where gε : is overall gas holdup grε : is the riser gas holdup gdε : is the downcomer gas holdup 4.2. gas-liquid mass transfer correlations the rate of mass transfer from gas to liquid phase may be expressed in terms of an overall volumetric mass transfer coefficient, kla based on gas liquid dispersion volume. this coefficient is also an important indicator for comparing the oxygen transfer capabilities of various aerobic bioreactors. the volumetric oxygen transfer coefficient is defined by the following equation (zhonghuo et al., 2010; chisti and young, 1987): cnak ol ∆= / 2 …(8) where 2on is the flux of oxygen transfer between phases, ∆c the concentration driving force between the phases. the gas-liquid interfacial area based on liquid volume or gas-liquid dispersion volume (al or ad, respectively) need to be determined to evaluate mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 65 overall mass transfer coefficient (kla). the value of al and ad can be evaluated from eq. (9) and eq. (10), respectively (chisti, 1998): )] -(1/[d 6 = a gbgl εε …(9) /d6 = a bgd ε …(10) however, instead of determining kl and a separately, the mass transfer behavior in these systems are usually presented in terms of the overall mass transfer coefficient (kla) which was often determined using empirical correlations reported in literature. 4.3. liquid velocity the liquid circulation in airlift reactors originates from the difference in the bulk densities of the fluids in the riser and the downcomer. the liquid circulates a well defined path: up flow in the riser, downflow in the downcomer. the predicted superficial liquid velocities in the airlift reactor were calculated using the following well known tested equation developed by chisti, (1989): aak gh u gddrb gdgrd lr 5.0 22 ))1/(1()/( )(2         − − = ε εε … ( 1 1 ) where a a k b d b 79.0 40.11       = …(12) the height of the dispersion dh was calculated from the following known equation: h h g l d ε− = 1 …(13) the linear liquid velocity in the riser and downcomer can be calculated from the superficial liquid velocity as follows (chisti, 1989): u v gr lr lr ε− = 1 …(14) ( ) ( ) avav dgdldrgrlr εε −=− 11 …(15) 5. solving the mathematical model the mathematical model provides a set of differential equations for oxygen concentration in the riser, downcomer and gas separator. these equations to be solved simulated simultaneously using finite elements technique in matlab v-2008a software package. figure (2) represent the algorithm for the computer simulation which is used to simulate oxygen concentration for a given reactor geometry and gas flow. fig. 2, algorithm for the computer simulation procedure to simulate oxygen concentration for the present alr geometry and gas flow . 6. experimental work 6.1. airlift reactor the proposed airlift reactor consists of two concentric-tubes with dimensions given in table 2. the volume of the reactor was 45 liter and ad/ar=4.29. the water level in the reactor was 1.1 cm. the tubes were constructed of transparent poly acyclic with the bottom and top plates made of rigid nylon. water manometer was used to measure the pressure drop across the reactor and the distance between the two manometer reading geometrical parameters of alr: a , a , a , output oxygen profile )(τo start given usg calculate gε , grε and gdε calculate kb, ulr, uld, vlr, vld,, vgd,, vgd given ∆z given hd, hl, model equations solved simultaneously using finite elements in matlab v-2008a mass transfer parameters kla end mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 66 points was 100 cm. air spargers and other pipes were constructed of copper. figure (3) shows the schematic arrangement of the experimental apparatus. table 2, dimensions of a concentric tube airlift reactor . height (cm) diameter (do) (cm) diameter (di) (cm) main column 150 23.6 23.0 draft tube 1.00 10.6 10.0 air was sparged through 8 cm diameter circular sparger, with 24 holes of 1 mm diameter. air flow rates were measured by a two type's rotameters (rota company of qvf type). the first one is used for the low flow rates (max. reading 1 m3/h) and the second one for the higher rate (max. reading 10 m3/h). all experimental runs were carried out at atmospheric pressure and a temperature of 29˚c. a series of experiments were performed by varying the superficial gas velocity (with respect to the cross-sectional area of the riser) over the range of 0.01–0.164 ms−1 to create a characteristic velocity curve of the airlift reactor. fig.3.experimental setup of alr. 8 cm hole1 mm diameter o-ring air distributor 3 1 2 4 5 6 7 8 9 10 1 oxygen probe meter 2 draft tube 3 reactor column 4 reducer 5 gas distributor 6 rotameter 7 valve 8 air compressor 9 interface 10 computer 11 u-tube manometer 12 n2 cylinder 13 n2 gas pressure regulator 14 t-join connector ١٥ liquid level 11 12 7 13 14 6 7 7 1 mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 67 6.2. measurement of volumetric mass transfer coefficient the overall volumetric mass transfer coefficient, kla, was determined by the dynamic gassing method (bouaifi et al., 2001; chisti, 1989). the dissolved oxygen concentration in the batch liquid phase was measured by means of an oxygen probe inserted horizontally at 0.1 m below the exit of the riser that was connected to a dissolved oxygen-meter type lutron do-5510. the oxygen probe signals were measured using a/d converter and recorder on a pc. in each experimental run, tap water has been first stripped of oxygen by the dynamic gassing method by bubbling n2 gas through the gas sparger. this step will continue till the probe reading becomes zero. after that the nitrogen gas flow was turned off and the flow switched to the air flow with a specific volumetric flow rate using the rotameter then the dissolved oxygen concentration was recorded with respect to time as air is distributed into the alr and until the water became saturated with oxygen. 7. method of calculations 7.1. gas hold-up the total gas holdup was determined by the expansion volume method (chisti, 1989). this method was chosen because it was the simplest to use. the gas holdup was estimated as the percentage increase in volume of the gassed liquid compared with ungassed liquid volume. in this airlift bioreactor the variation of liquid volume can be determined by observing the height of the surface of the ungassed liquid and aerated liquid. the dispersion height was estimated by observing the position of the liquid level on a graduated stainless-steel rod suspended from the vessel top plate. at high gas flow rates the liquid surface become very turbulent, with the level changing erratically, and so a mean dispersion height was estimated (chisti, 1989). because the volume of gas cannot be measured directly, we defined vd (dispersed volume) as the total volume of gas phase plus volume of liquid phase. then v vv d ld g − =ε …(16) ah ah d l g −= 1ε …(17) finally, h h d l g −= 1ε …(18) where: hd dispersed liquid height (cm) and hl liquid height (cm). the downcomer gas holdup was estimated by measuring the pressure difference between the two measuring ports of the column and by using the following equation (chisti, 1989): h z manometer gd ∆ ∆ −= 1ε …(19) where: ∆z: distance of liquid level in manometer, ∆h: distance of liquid level. 7.2. mass transfer coefficient the kla is determined as mentioned in the previous section by using the dynamic method. the investigations of mass transfer characteristics were restricted to oxygen transfer only, and in all investigations, the alr systems were subject to the following assumptions (wongsuchoto, 2002): gas composition is constant. the system is isothermal, and the effect of the dynamics of the dissolved oxygen electrode is negligible. for sparingly soluble gases such as oxygen, the liquid phase volumetric mass transfer coefficient (kla) is nearly equal in value to that of the overall volumetric mass transfer coefficient (kla). a material balance on dissolved oxygen according to the above assumption gives the following equation (wongsuchoto, 2002): ( ) ( ) ooakooak dt do ll −=−= ** …(20) o*: saturation dissolved oxygen concentration. o: dissolved oxygen concentration in liquid phases. integrate eq. (6) with the limits of o = o0 at t = 0 and o = o at t = t results in: ∫∫ = − t l o o dtak oo do 0* )(o …(21) the result of integration is atk oo oo l=      − − )( )( ln * * o …(22) mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 68 the value of kla is obtained from the slope of the linear regression with         − − )( )( ln * * oo oo o with respect to time (t). 8. results and discussion 8.1. effect of superficial gas velocity on gas holdups the effect of superficial gas velocity on the overall, riser and downcomer gas holdups can be represented in fig. 4. as the superficial gas velocity increases the gas holdups increases. generally, the experimental gas holdup profiles are linear with respect to usg for the overall, riser, and downcomer gas holdups. this means that the slip of relative velocity between the gas and liquid phases does not change with increased gas through put. fig. 4. relationship between overall, riser and downcomer gas holdups and superficial gas velocity of the present alr. the experimental data have been simulated with the following equation (chisti, 1989): u sggi γλε = …(23) where λ and γ are constants, and the final result for overall, and dowcomer holdups can be expressed as: u sgg 799.0643.0=ε …(24) u sggd 728.0428.0=ε …(25) the values of riser gas holdup were estimated using eqn. (7). the simulated gas fraction over predicted empirical data, are compared as shown in fig. 5. it can be concluded that the profile also has a linear form with acceptable accuracy. fig.5. comparison between experimental and predicted overall and downcomer gas holdups at the same superficial gas velocity of the present alr . 8.2. effect of superficial gas velocity on internal liquid circulation liquid velocity in airlift reactors affects the mixing characteristics of fluids, i.e. volumetric mass transfer coefficient, which determines the performance of the reactor. figure (6) shows the experimental results of the effect of usg on linear liquid velocity in the riser and downcomer. it can be observed that an increase in gas velocity effectively implied a large energy input to the system and high liquid velocity was induced both in riser and downcomer. the riser and downcomer liquid velocities were determined from eqn. (14) and the mass conservation equation (15) including the effect of both riser and downcomer gas holdups. all configurations demonstrated the less values of downcomer liquid velocity than riser liquid velocity. it was because, in the present experiment work, the cross sectional of the downcomer area was 4.29 times larger than that of 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 superficial gas velocity, usg (m/s) g as h o ld u p , ε () overall gas holdup downcomer gas holdup riser gas holdup 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 εcalc (-) ε e xp () overall gas holdups (r=0.994) downcomer gas holdups (r=0.991) mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 69 the riser. hence, all downcomer liquid velocities were lower than riser liquid velocities based on the continuity equation. fig. 6. relationship between linear liquid riser and downcomer velocities and superficial gas velocity for the present alr. 8.3. effect of superficial gas velocity on the overall oxygen mass transfer coefficient figure 7 shows the normalized oxygen concentration-time experimental data. these data were processed with eqn. (22) and the final results were presented by fig. (8). the value of kla is obtained from the slope of the linear regression with         o) o( )o o( ln * * o with respect to dimensionless time (τ ). the obtained k la values where also plotted versus usg and the relationship between them is illustrated in fig. 9. it can be shown from fig. 9 that the value of kla increases with increasing usg. the smallest quantity of air means the lowest liquid velocity, and the low liquid velocity means that there was a rather low level of gas bubbles in the reactor which reduce the interfacial area of gas for mass transfer in the system. at high gas velocity, the liquid velocity increases which in turn generate finer bubbles, and thus increased gas holdup. the higher gas holdup results in higher interfacial area which increases kla. an attempt has been made to correlate the obtained kla values with the following equation (chisti, 1989): uak sgl β α= …(25) the following empirical equation, best relating the volumetric mass transfer coefficient with the superficial gas velocity: uak sgl 738.0 229.0= …(26) equation (26) was obtained by multiple regression analysis with a correlation coefficient of 0.997. figure 10 shows a comparison between experimental and predicted values of kla. it can be seen that the correlation satisfies the experimental data of the present system. fig. 7. relationship between dimensionless oxygen concentration and dimensionless time at different superficial gas velocity for the present alr . fig.8. logarithmic oxygen concentration vs. dimensionless time of the mathematical model at various usg values . 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18 superficial gas velocity, usg (m/s) l in ea r l iq u id v el o ci ty , ( m /s ) vlr vld 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 dimentionless time (-) d im en si o n le ss o xy g en c o n ce n tr at io n , ( -) usg=0.010 m/s usg=0.020 m/s usg=0.040 m/s usg=0.085 m/s usg=0.120 m/s usg=0.1639 m/s 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 dimentionless time, (-) -ln [( o * -o ₒ )/( o * -o )] usg=0.010 m/s usg=0.020 m/s usg=0.040 m/s usg=0.085 m/s usg=0.120 m/s usg=0.1639 m/s mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 70 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 superficial gas velocity, usg, cm/s k l a , ( s-1 ) fig. 9. relationship between overall volumetric oxygen mass transfer coefficient and superficial gas velocity for the present alr. fig. 10. comparison between experimental and predicted overall volumetric oxygen mass transfer coefficient at the same and superficial gas velocity of the present alr . 8.4. mathematical model parameters determination in order to simplify the solution of the mathematical model differential equations. equation (1) to (6) can be converted into a dimensionless form by introducing the following dimensionless variables and using the initial and boundary conditions in table 2: v atv t t r dld==τ …(28) l z z = …(29) o o o l l l * = …(30) o o o ing g g * , = …(31) riser section for gas phase oxygen concentration: ( ) [ ] zozo tk z o l td z o l tvo rlrrgr gr lagr r rg r gr r rg r gr r rg )()( 1 2 2 2 − − − ∂ ∂ + ∂ ∂ −= ∂ ∂ ε ε τ …(32) for liquid phase oxygen concentration: [ ] zozotk z o l td z o l tvo rlrrgrla r rl r lr r rl r lr r rl )()( 2 2 2 − − ∂ ∂ + ∂ ∂ −= ∂ ∂ τ …(33) downcomer section for gas phase oxygen concentration: ( ) [ ] zozo tk z o l td z o l tvo dlddgd gd lagd d dg d gd d dg d gd d dg )()( 1 2 2 2 − − − ∂ ∂ + ∂ ∂ −= ∂ ∂ ε ε τ …(34) for liquid phase oxygen concentration in the downcomer: [ ] zozotk z o l td z o l tvo dlddgdla d dl d ld d dl d ld d dl )()( 2 2 2 − − ∂ ∂ + ∂ ∂ −= ∂ ∂ τ …(35) gas separator section for the gas oxygen concentration: ( ) ( ) ootko v tq o v tq lzo v tqo ltgtla gt gt gt tgt gd gt tgt outg rrgr tgt gr t gt ) 1 , −         − − −−== ∂ ∂ ε ε ε εετ …(36) for the liquid oxygen concentration: ( ) ( ) ( ) ( ) ( ) ootko v tq o v tq lzo v tqo ltgtlalt tgt ld lt tgt outl rrlr tgt lr t lt ) 1 11 , −− − − − −= − = ∂ ∂ ε εετ …(37) 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 kla calc (s -1) k l a e xp (s -1 ) r=0.997 mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 71 table 3, initial and boundary conditions in dimensionless form . riser section i.c. gas ( ) 00,10 ==≤≤ τrgr zo b.c.1 ( )0,0 >= τrgr zo = ( )         +>= rgr ingingrgddgd av oqzoav ,,0,0 τ b.c.2 /s)(m 3 , flowrategasinletq ing = ( ) ( )00,1 >=>= ττ gtrgr ozo i.c. liquid ( ) 00,10 ==≤≤ τrlr zo b.c.1 ( ) ( )0,10,0 >==>= ττ dldrlr zozo b.c.2 ( ) ( )00,1 >=>= ττ lrrlr ozo downcomer section i.c. gas ( ) 00,10 ==≤≤ τdgd zo b.c. ( ) ( )00,0 >=>= ττ gtdgd ozo i.c. liquid ( ) 00,10 ==≤≤ τdld zo b.c. ( ) ( )00,0 >=>= ττ ltdld ozo gas separator section i.c. gas ( ) 00 ==τgto liquid ( ) 00 ==τlto i.c. : initial condition b.c.: boundary condition. the proposed mathematical model supplies a set of partial differential equations for oxygen transfer. the solution of these equations was solved simultaneously with the geometric, mass transfer and hydrodynamic parameters using finite elements in matlab v-2008a software package. the oxygen concentration in liquid phase of the present internal loop airlift reactor was predicted by dispersion model. to predict oxygen concentration in liquid phase, hydrodynamic and mass transfer parameters including gas holdups (εg), liquid velocities (νl), gas velocities (νg), dispersion coefficients (d), geometrical parameters and overall volumetric gas-liquid mass transfer coefficient (kla) had to be known in a prior. table 4 employed the correlations used in the present mathematical model. table 4, empirical hydrodynamic correlations used in the mathematical model. correlations usgg 799.0643.0=ε …(24) usggd 728.0428.0=ε …(25) uak sgl 738.0 229.0= …(26) assuming that gtε = grε other parameters such as the downcomer liquid velocity (νld) were calculated from eqn. (14), while the riser liquid velocity was calculated from the continuity eqn. (15). riser gas velocity grv was calculated from lrv and slip velocity in the riser srv as follows (chisti, 1989): vvv srlrgr += …(37) srv did not vary much with conditions in the alr, and it was assumed here to be constant at 0.25 m/s as it reported by chisti, (1989). downcomer gas velocity gdv was calculated, in a similar fashion, using the continuity equation (chisti, 1989): a qav v gdd inggrrgr gd ε ε ,− = …(38) dgr, dgd, dlr and dld as dispersion coefficients in the gas and liquid phases for both the riser and downcomer remained unknown. the liquid phase dispersion coefficients values, dlr and dld were reported by several investigators and employed in this model directly without manipulation (chisti, 1989, kochbeck and hempel, 1994; merchuk et al., 1998). also, gas phase dispersion coefficients (dgr and dgd) were reported by chisti, (1989) to mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 72 be 2 5 m2/s for the alr at usg between 0.01-0.1 m/s. in order to verify the sensitivity of the simulation results with the variation of the dispersion coefficients for liquid and gas phases. preliminary simulations were conducted and it was found that the time-oxygen concentration profiles from the various simulations of different values of dispersion coefficients in the range reported in the previous paragraph were not significantly different from each other. this indicated that, within the range of dispersion coefficients reported in literature, there was no meaningful difference in the responding time to reach equilibrium concentration. hence, the values of dlr, dld, dgr, dgd used in all simulations were selected arbitrarily as 0.01, 0.01, 2 and 2 m2/s, respectively. to verify the ability of the model in predicting oxygen mass transfer behavior between gas and liquid phases in the internal loop alr, the simulation results were compared with experimental data. figure 11 illustrates the comparisons between the simulation results and experimental data on liquid phase oxygen concentration in the riser (olr) in the system at different superficial gas velocities (usg). in general, both simulation results and experimental data demonstrated that the oxygen concentration profile reached equilibrium concentration more rapidly with increasing usg. it can be concluded that the predicted model results give a reasonable accuracy when compared with experimental data for the same range of usg. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 dimentionless time (-) d im en si o n le ss o xy g en c o n ce n tr at io n , ( -) usg=0.010 m/s usg=0.020 m/s usg=0.040 m/s usg=0.085 m/s usg=0.120 m/s usg=0.1639 m/s simulated fig. 11. comparison between experimental and simulated data of oxygen-time profiles in the riser region of the present alr . list of abbreviations, notations and greek letters abbreviations alr airlift reactor a cross-sectional area m2 a specific gas-liquid interfacial area of bubble per volume of reactor m2 m−3 ab cross sectional area for flow under baffle or draft tube m2 o instantaneous oxygen concentration in the liquid kgm−3 o* saturation dissolved oxygen concentration in the liquid kgm−3 oo initial oxygen concentration in the liquid kgm−3 d dispersed phase dg gas phase dispersion coefficient m2s−1 db bubble diameter m g gravitational acceleration ms−2 h henery's law constant hd dispersion height m hl unaerated liquid height m kla overall mass transfer coefficient s-1 l length m lb bottom clearance m n moles of a oxygen gas mol og oxygen concentration in gas phase kgm−3 ogd oxygen concentration in gas phase of the downcomer section kgm−3 ogr oxygen concentration in gas phase of the riser section kgm−3 ol oxygen concentration in liquid phase kgm−3 old oxygen concentration in liquid phase of the downcomer section kgm−3 olr oxygen concentration in liquid phase of the riser section kgm−3 t time s t time s usg superficial gas velocity ms−1 ul superficial liquid velocity ms−1 v volume m3 vg linear gas velocity ms−1 vl linear liquid velocity ms−1 vs slip velocity ms−1 z dimensionless length mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 73 greek letter ∆c concentration driving force between the two phases kgm−3 ∆h distance of liquid level m ∆z distance of liquid level in a manometer m εg gas holdup εgo overall gas holdup εgd gas holdup in the downcomer section εgr gas holdup in the riser section τ dimensionless time α constant β constant γ constant λ constant 9. conclusions in the present study, oxygen mass transfer could be well described by the proposed mathematical model based on a set of continuity equations. the obtained empirical equations for the gas holdups, overall oxygen mass transfer coefficient gave good results and high accuracy for the present alr. the simulated results based on the obtained empirical equations, the dispersion model for the riser and downcomer and the perfect mixed model for the gas-liquid separator, agreed well with the experimental results over the studied range of operating conditions. 10. acknowledgement this study was supported by a grand provided by the ministry of higher education and scientific research/ research and development department. authors gratefully acknowledge this contribution and supporting. 11. references [1] andré, g., robinson, c.w., and young, m.m., (1983), "new criteria for application of the well-mixed model to gas-liquid mass transfer studies", chem. eng. sci., 38: 18451984. [2] bouaifi, m., hebrard, g., bastoul, d., and roustan, m., (2001), "a comparative study of gas hold-up, bubble size, interfacial area and mass transfer coefficients in stirred gas-liquid reactors and bubble columns", chem. eng. proc., 97-111. [3] camarasa e., l.a.c. meleiro, e. carvalho, a. domingues, r. maciel filho, g. wild, s. poncin, n. midoux, and j. bouillard, (2001), "a complete model for oxidation air-lift reactors", computers and chemical engineering, 25, 577–584. [4] cerri m.o., a.c. badino, (2010), "oxygen transfer in three scales of concentric tube airlift bioreactors", biochemical engineering journal, 51, 40–47. [5] chisti y., (1989), "airlift bioreactors", elsevier applied science, london. [6] chisti, m.y., (1998), "pneumatically agitated bioreactors in industrial and environmental bioprocessing: hydrodynamics", appl. mech. rev. 51: 33-112. [7] chisti, m.y., and young, m.m., (1987), "airlift reactors: characteristics, applications and design considerations", chem. eng. commun., 60: 195-242. [8] dhaouadi, h., poncin, s., midoux, n., and wild, g., (2001), "gas-liquid mass transfer in an airlift reactor—analytical solution and experimental confirmation", chem. eng. proc., 40: 129-133. [9] fields, p.r., and slater, n.k.h., (1983), "tracer dispersion in a laboratory air-lift reactor", chem. eng. sci., 38: 647-653. [10] giovannettonea j.p., e. tsaib, j.s. gulliver, (2009),"gas void ratio and bubble diameter inside a deep airlift reactor", chemical engineering journal, 149, 301–310. [11] guillermo quijano, sergio revah, mariano gutierrez-rojas, luis b. flores-cotera and frederic thalasso, (2009), "oxygen transfer in three-phase airlift and stirred tank reactors using silicone oil as transfer vector", process biochemistry, 44, 619–624. [12] koch beck, b., and hempel, d.c., (1994), "liquid velocity and dispersion coefficient in an airlift reactor with inverse internal loop", chem. eng. technol., 17: 401405. [13] merchuk, j.c., and yunger, r., (1990), "the role of the gas-liquid separator of airlift reactors in the mixing process", chem. eng. sci., 45: 2973-2975. [14] merchuk, j.c., contreras, a., garcia, f., and molina, e., (1998), "studies of mixing in a concentric tube airlift bioreactor with mohammed a. atiya al-khwarizmi engineering journal, vol. 7, no. 4, pp 61-75 (2011) 74 different spargers", chem. eng. sci. 53: 709719. [15] peter m. kilonzo, argyrios margaritis, and m.a. bergougnou, (2010), "hydrodynamic characteristics in an inverse internal-loop airlift-driven fibrous-bed bioreactor", chemical engineering science, 65, 692–707. [16] tongwang zhang, tiefeng wang and jinfu wang, (2005), "mathematical modeling of the residence time distribution in loop reactors", chemical engineering and processing, 44, 1221–1227. [17] verlaan, p., van eija, a.m.m., tramper, j., and van’t riet, k., and luyben, k.ch.a.m., (1989), "estimation of axial dispersion in individual sections of an airlift-loop reactor", chem. eng. sci., 44: 1139-1146. [18] wongsuchoto, p., (2002), "bubble characteristics and liquid circulation in internal loop airlift contractors", ph.d. thesis, faculty of engineering, chulalongkorn university, thailand. [19] yu wei, wang tiefeng, liu malin and wang zhanwen, (2008), "bubble circulation regimes in a multi-stage internal-loop airlift reactor", chemical engineering journal, 142, 301–308. [20] zhonghuo deng, tiefeng wang, nian zhang, and zhanwen wang, (2010), "gas holdup, bubble behavior and mass transfer in a 5m high internal-loop airlift reactor with nonnewtonian fluid", chemical engineering journal, 160, 729–737. [21] znad h., v. bales, and y. kawase, (2004), "modeling and scale up of airlift bioreactor", computers and chemical engineering, 28, 2765–2777. � ا��� � � )2011( 75-61 ، ���4، ا���د ����7 ا���ارز�� ا����� � ا����� اج ���� � 75 ذو /(� ا���. ا��ا-�� ��airlift"%"ة ا+*("ل ا'و%�� $ #� ��"�! ��"ل ��د4! ا�*3*2 ا����ري*�"5 � ا���اج� � **ا� ! � � ا�� "ر **ا� ! ���� ر/�$ *���� � داb<ة ا3451 واa:1@?vg >9\7v] fvg ا7vr1ز اz1<اw.vx fv9y اhv.1ى hvi[ sk@v1 ز?7vدة v:1 . f[>vg< ٤٥اw9s@v5hl اw?qvq>.:.1 داhvgn -v/q 8vm4s 7v9/pاره ذو airliftاlوw9mdq اf[>g ،-.m41 [hو?< ا7zn -l ib7d1]vh wvn i@ع ib7vd1و?< اhv] f[>g وز?7دة -/m1ا d/0.17ز اr1داد اq? f9yا>z17ز اr1ا . hv?q] -v:1ا fv9i951ا fk7vd.17دة اv?ز ev1دي اuv] fv9yا>z17ز اvr1ا f[>vg 7دةv?ان ز hvt7 وvw?ا -/m1ا -.m41ا w9mdqوl7ل اg:hا in70n . اظvj<ت ا7vh7951ت اwvn f/v~4:d.1 ھv|ه ا7vey01ت 7h79s f/n70n 8] . {vn fv917[ fvehs 7vjgs7a]ت دراfg اh9j1رودا?7ey017s z.iت اf9x7?>1 اl@v:.1<ة l7sد7v9sت f9./017ت اh7951ا. hl -vx7?>1ا iv?ا1.@د -vl -v/.01ا �vh7m17ت اvh79sو f9vx7?>17ت اvey01ا wn f/~4:d.17ت اh7951ا z/] [8 ا]:.7د iv?ا1.@د fveى دhvn fvl>0.1 w9mvdqوl7ل اvg: wvn اiv[7z.1 وn@د?iv ا�v/o1 اdowncomer -17v�.1و riserان �b7v:h ا7vq74.1ة 7v.:[l7sد ]/n ev@د?iv اqvm/1 ^:v�:1ء . اvl -x7?>1و��v ا7v�i1م اv:g.1<ح ،ib7d1ا w[ 7زr1ا i~zs 7صo1ا i[7z.1ء اqm1 fgروh.1ا f9/9r�:17ت ا�1<وف ا?hn w.x f9./01ا �b7:i1ا {n >95q im�s 7jgs7a] . خالد وعلاء الدين al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) study on the effect of the curvature of solar collector on wind loading coefficients and dynamic response of solar collector aladine abdulkader kazem khalid hameed hussein department of engineering affair / university of baghdad (received 4 february 2013; accepted 30 april 2013) abstract in the current research, the work concentrated on studying the effect of curvature of solar parabolic trough solar collector on wind loading coefficients and dynamic response of solar collector. the response of collector to the aerodynamic loading was estimated numerically and experimentally. the curvature of most public parabolic trough solar collectors was investigated and compared. the dynamic response of solar collector due to wind loading was investigated by using numerical solution of fluid-structure interaction concept. the experimental work was done to verify the numerical results and shows good agreement with numerical results. the numerical results were obtained by using finite element software package (ansys 14). it was found that the change in collector curvature (focal length) lead to remarkable changes in wind loading coefficients (drag, lift, and moment), dynamic response (displacement) and natural frequencies but does not affect the first mode shape. keywords: solar collector, curvature, fluid-structure interaction and finite element. 1. introduction the solar thermal power (stp) plants are used to concentrate the heat on the working substance used in steam production process for electrical generation. solar thermal power plants are primarily installed in flat terrain of high solar irradiation for achieving a high power density [1]. the parabolic trough collector is considered to be the most suitable for concentration task [2]. at flat terrain, the components of plants are subjected to severe aerodynamic problems. the parabolic trough is the main component exposed to such aerodynamic effects. the main environmental problems which affect the parabolic trough performance are the wind-induced vibration and trough instability to truck the sun accurately [3]. the study of dynamic response of solar collector due to environmental conditions is very useful to built suitable control system to adjust collector tracking system. the dynamic response of solar collector can be affected by many factors such as collector geometry, material, fixing, environmental conditions and the accuracy of control system. this research aims to study the effect of the geometry of the collector on the dynamic response of the collector due to wind loading. m.t. lates presents the finite elements analysis of the mechanical behavior for three main solar collector tracking systems: for plate, for dish and for trough solar collectors. the study concentrated on prediction of stresses in solar collectors due to extreme meteorological situations (3cm thick snow layer and 16m/s wind speed acting on the structure oriented at horizontal position [4]. a. miliozzi et.al evaluated wind loads on a parabolic-trough concentrator numerically using the cfd flotran module of ansys finite element code. the study concentrated on evaluating the aerodynamics coefficient for the parabolic trough at three wind speed and different angular position [5]. l. m. murphy carried out a study to discuss the most practical designs for the collector and the test procedures to evaluate the wind loading on the collector. the test results corresponding to numerous wind tests on heliostats, parabolic troughs, parabolic dishes, and field mounted photovoltaic arrays are discussed and the applicability of the findings across the aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 22 various technologies is assessed [6]. j. a. peterka et. al. carried out a study to define mean and peak wind loads on parabolic dish solar collectors. loads on isolated collectors and on collectors within a fie1d of collectors were obtained. a major intent of the study was to define wind load reduction factors for collectors within a field resulting from protection offered by upwind co1lectors, wind protective fences, or other blockage elements [7]. n. u. gunasena performed a study to determine the feasibility of a novel solar collector design for large scale solar power generation. the design concept involved a large, fixed mirror dish in the shape of a spherical segment, with a tracking collector as opposed to a more traditional tracking concentrator with a fixed or tracking collector [8]. n. hosoya and j.a. peterka carried out comprehensive experimental study to determine the mean and maximum wind load coefficients on the parabolic trough in boundary layer wind tunnel. the wind loading on parabolic trough are determined for different angles of attack, for different wind speeds and for different turbulent intensity. this study showed that the wind loads coefficients are independent of the reynolds number and turbulent intensity [9]. in this paper, the effect of geometry (curvature) of the parabolic trough solar collector on wind loading coefficients and wind-induced dynamic response of the collector was investigated. the wind loading coefficients included drag coefficient, lift coefficient, and moment coefficient. the dynamic response of collector which is studied in current study is the vibrational characteristics (natural frequency, mode shape and damping ratio) of the parabolic trough solar collector and the response (deformation) of the trough surface under the action of wind loading. five scenarios of curvature of most public parabolic trough were considered and the dynamic response of all these scenarios under the action of one wind speed (10m/s) and one angle of attack (θ=90˚) was investigated and compared. 2. solar collector geometry this paper specifically refers to parabolic trough collectors for concentrating sunlight. this type of concentrator has a cylindrical shape, with its parabolic curvature described by the formula (y=x2/4f). the distance (f) represents the position of the focal point of the parabola (the distance of the focal line of the parabola from its vertex). the difference in curvature leads to difference in length of aperture (d) and height (h). fig. 1. profile of the present parabolic concentrator [10]. 3. scenarios of curvature five of the most public parabolic trough curvatures were chosen for current study. the curvatures of these five types of collector are listed in table (1) [11, 12 , 13]: table 1, curvatures of collectors. scenario collector focal length(m) parabola s1 ls-1[11,12] 0.94 y=x2/3.7 6 s2 ls-2, duke solar[11,12] 1.49 y=x2/5.9 6 s3 ls-3, euro trough[11,12] 1.71 y=x2/6.8 4 s4 new ist[11,12] 0.76 y=x2/3.0 4 s5 mittrough[13] 0.1 y=x2/0.4 the investigation of the difference of dynamic response of different collectors due to wind loading requires the same aperture area for all collectors under the study. so, the aperture length (d) and the length of the parabolic trough must be the same for all prototypes. therefore, the aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 23 difference between the collectors belongs to the difference in height (h). this difference in geometry will affect the flow characteristic distribution around the trough and subsequently will affect the dynamic response of the trough. 4. numerical simulation ansys is a finite element analysis software package. in the current study, ansys workbench is used for fluid-structure interaction (fsi) analysis. fsi applications involve coupling of fluid dynamics and structure mechanics disciplines as in figure (2) [14]: • fluid flow exerts hydrodynamic forces on a structure and deforms and/or translates the structure. • deformed or translated structure imparts displacement to the fluid domain and changes its shape and thus changes the fluid flow. 5. modes of fsi modeling the main characteristics of modes of fsi modeling are listed in table 2. table 2, comparison between modes of fsi modeling. fsi simulation (1 way) fsi simulation (2 way) very small deformations in the structure large structural deformations calculate and pass flow fields from cfd to the structural analysis fea code iterate between cfd and fea codes no need to update and recalculate flow need to update and recalculate flow fig. 2. coupling procedure of 2-way fluidstructure interaction [14]. in the current paper, in current paper, both 1way and 2-way fluid-structure simulation are done. for 1-way simulation, the (fluent ansys 14) version was used to evaluate the flow characteristics around the parabolic trough and the aerodynamic forces exerted by wind which was mapped to mechanical ansys to evaluate the response due to these aerodynamic forces. for 2way simulation, the ansys 14 version was used with a fem modeling facility for the trough structure and the cfx module for modeling the fluid flow. these two physics could be combined using the mfx multi-field solver. the key of the coupled simulation is that the fluid flow induces forces on the parabolic trough, which deforms accordingly based on the fem calculations. the deformation was feed back to the cfd mesh. 6. modal analysis the modal analysis is used to determine the vibration characteristics (natural frequencies and mode shapes) of the structure. it also can be a starting point for the harmonic response analysis. the basic equation solved in a typical modal analysis is the classical eigenvalue problem. many aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 24 numerical methods are available to solve that equation. 7. mesh description two domains are used in numerical simulation, fluid domain and structure domain. the element used for structural analysis is (shell 281). the shell281 element is suitable for analyzing thin to moderately-thick shell structures. the element has eight nodes with six degrees of freedom at each node: translations in the x, y, and z axes, and rotations about the x, y, and z-axes. when using the membrane option, the element has translational degrees of freedom only [15]. this element is shown in figure (3). figure (4) shows the mesh density of the structure. fig. 3. element shell 281 geometry. [15]. fig. 4. mesh of structure. for fluid domain, two types of elements were used. for a surface mesh, a higher order triangular element with hanging node was used as shown in figure (5-a) and for three dimensional mesh, higher order tetrahedral element with hanging nodes was used as shown in figure (5-b). figure (6) shows the mesh topology of fluid domain. fig. 5. types of elements of fluid domain [16]. fig. 6. the mesh topology of fluid domain. 8. experimental work to verify the numerical results, an experimental work to measure the dynamic response of collector was done. the verification was done for one type of collector (mit-trough). the vibrational characteristics of the trough (natural frequencies and mode shape) were measured first. then the dynamic response (displacement) under the action of wind loading was measured. one wind velocity (10m/s) and one angle of attack (θ = 90˚) where the aperture is parallel to wind direction are used in current study. aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 25 9. experimental apparatus and setup the experimental work setups consist of dynamic response measurements (vibration behavior) and wind loading setup. the dynamic response measuring system consists of accelerometer, charge amplifier, oscilloscope and parabolic trough prototype. the schematic diagram of dynamic response measuring system is shown in figure (7). fig. 7. schematic diagram of response measuring system. the wind loading (pressure) measuring devices consist of several pressure tabs located on the surface of the trough. the system recieve simultaneous signal samples from (8) individual pressure transducers at maximum design rate of (12500) samples per second per channel. the signals are transmitted from pressure transducers to (8) channels to analog to digital convertor serial communications usb (daqmx 100 ksa/sec) connected to controller software (labview signal express 2010) on personal computer. this system allows digitizing, showing and saving the variations in pressure with time on excel data sheet. the wind tunnel discharge is used as free jet to supply wind at different velocity. this free jet satisfies maximum wind velocity up to (24.6 m/s) at a distance 3m abroad from the free jet. the wind velocity was measured at many points at leeward edge of trough and the average value was calculated. the wind tunnel was adjusted to supply average wind velocity 10m/s at the leeward edge of trough. the velocity of wind is measured by using calibrated flow meter. 10. parabolic trough setup one type of parabolic trough was used in experimental work to examine the validity of using the numerical simulation. the prototype used in this study is made from composite material (polyester resin and e-glass fibers). it is fabricated by using special mold installed for this purpose. the surfaces of trough are polished. the surfaces are smoothed using different wet silicon carbide starting with (260) to (1200) for finishing and then polished using polishing cloth and alumina. the final step is the washing of product by using distilled water for 10 minutes. the final product with dynamic response measuring system is shown in figure (8). the manufacturing processes and the mixing percentage were chosen according to asm metal handbook standard for composite [17]. fig. 8. the parabolic trough made from composite material. 11. result and discussion the results of the current research are divided into three categories: the verification of numerical result, the effect of the curvature on wind loading coefficients and the effect of the curvature on the dynamic response of the collector. 12. verification of numerical results the verification of the numerical results included the verification of flow characteristic and the verification of dynamic response of the parabolic trough. 1. flow characteristics verification: the experimental data of two parameters were used in aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 26 this verification. the first was the experimental data of static pressure distribution over the parabolic trough and the second parameter was the wind loads coefficients on the parabolic trough. the values of static pressure at specific points on the trough surface were measured experimentally and the counter of pressure over trough surface was drawn and then compared with contour of static pressure which is obtained from numerical work. figures (9 and 10) show these contours of pressure. in both figures the high values of pressure are appears near the edges of trough. also, both experimental and numerical analysis shows that the values of pressure are approximately symmetrical around the centerline of trough. in experimental work, the minimum value of static pressure was 20pa and the maximum value was 70pa while in numerical analysis the minimum value of static pressure was 14.3pa and the maximum value was 71.5pa. it is clear from these figures that the numerical results show good agreement with experimental results. the wind loading coefficients (drag, lift, and moment) are obtained experimentally by using rigid model. this model designed to measure the distribution of local pressures on the front surface of the rigid collector concentrator module. distribution of point pressures can be integrated over the parabolic concentrator surface to numerically determine the total loads on the parabolic trough solar collector. the formula of calculating these coefficients are shown in appendix (1). also, these loading coefficients are obtained numerically. the values of these coefficients are listed in table (3). it is clear from these results that the numerical simulation of the wind loading gives excellent coincides with experimental results. fig. 9. contours of static pressure over trough surface at wind velocity 10m/s obtained from experimental work. fig. 10. contours of static pressure over trough surface at wind velocity 10m/s obtained from numerical analysis. table 3, wind load coefficients of mit trough at velocity 10m/s drag coefficient lift coefficient moment coefficient experimental 0.395 -0.232 0.637 numerical 0.432 -0.214 0.613 error % 9.367 -7.758 -3.767 2. dynamic response verification: the displacement at specific point on trough surface was measured while the wind is applied on trough surface. also, the displacement of the same was evaluated numerically. figure (11) shows the comparison between these results. the comparison between experimental and numerical results of dynamic response shows that the experimental results always larger than the numerical results but the differences were within acceptable range. this difference appears because the actual structure has flexibility more than the numerical model. the numerical results of wind induced response of parabolic trough show that the results of 2-way fluid-structure simulation are close to 1-way simulation. this can be attributed that the response of trough due to this wind velocity was very small and did not alter the flow around the trough. aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 27 fig. 11. dynamic response of a point parabolic trough surface. 13. the effect of the curvature on wind loading coefficients the flow characteristics and dynamic response of one type of collector (mit collector) are estimated experimentally and numerically. the results show good agreement between them. so, the numerical simulation then used to estimate the flow characteristic and dynamic response of other types of collector and make a comparison between them to find the effect of the curvature on the results. table (4) lists the wind loading coefficients for all types of collectors at wind velocity 10m/s and angle of attack (θ=90˚). it is shown that the drag coefficient increases with the decreasing of focal length. this can be attributed that the decreasing of focal length leads to increasing of side projected area of the trough. this situation will inverse when lift coefficient is considered where the decreasing of focal length leads to decreasing of lift coefficient because that the top projected area will decreased. the difference in moment coefficient is more complicated than the difference in drag and lifts coefficients where the moment is the result of drag force moment and lift force moment. for parabolic trough, the increasing of focal length leads to decreasing the moment coefficient. this indicates that the changing of the curvature of the parabolic trough has more effect on the drag force than that on lift force. figure (12) shows the comparison between the wind loading coefficients. it is clear that the (mit collector) has the highest value of drag and moment coefficients whereas the (euro trough and ls-3 collectors) has the minimum value of drag and moment coefficients. the minus sign of lift coefficient indicates that the lift force directed into downward because of the concave of the trough at this angle of attack. the highest value of lift coefficient was recorded for (euro trough and ls-3 collectors) and the lowest value was recorded for (mit trough). table 4, wind loading coefficients for all types of collector. scenario drag coefficient lift coefficient moment coefficient s1 0.385 -0.267 0.554 s2 0.321 -0.294 0.531 s3 0.303 -0.312 0.501 s4 0.402 -0.235 0.571 s5 0.432 -0.214 0.613 fig. 12. comparison between the wind loading coefficients. 14. the effect of curvature on dynamic response of collector the dynamic response included the natural frequencies, mode shape and displacement due to wind loading. table (5) lists the values of first three natural frequencies of all types of collector and figure (13) shows the comparison between these values. it is obvious from this figure that the values of natural frequencies increase with the decreasing of focal length. this can be attributed to the effect of rigidity of shell structure. the more curvature leads to more rigidity and this leads to increasing the value of natural frequency. the natural frequencies of (mit) collector were higher than the natural frequencies of other types and the increment from first natural frequency to second and from second to third are very large in aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 28 comparison with the other types. this increment is very little for scenarios (s1, s2 and s3). the presence of folded edges in (mit) collector leads to increasing the values of natural frequency. the values of natural frequencies of scenarios (s2 and s3) are close because the focal lengths are close. table 5, the first three natural frequencies of all types of solar collector. scenario first natural frequency (hz) second natural frequency (hz) third natural frequency (hz) s1 41.54 48.443 51.84 s2 29.563 32.854 37.54 s3 25.74 26.4 28.548 s4 44.56 56.3 56.768 s5 75.016 83.324 134.74 fig. 13. comparison between the natural frequencies of all types of collectors. the numerical estimation of mode shapes shows that the first mode shape is the same for all types of collector. this similarity is caused because that the mode shape depends in very high proportion on the boundary condition and the type of excitation. the difference in focal length does not lead to high changes in the first mode shape. figure (14) shows the first mode shape of all types the collectors. appendix (2) shows the first, second and third mode shape of (mit) collector. fig. 14. first mode shape of the collectors. the responses (displacement) of solar collectors due to wind loadings are evaluated numerically by using 1-way and 2-way fsi to estimate the effect of the curvature on displacement response of collectors. only the results of 2-way fsi will present because the results of 1-way are close to 2-way results as shown in figure (11). figure (17) show the comparison between the dynamic responses of all types of collectors. it is clear from this figure that the displacement of a point on collector surface due to wind loading increases with the increasing of focal length because that the flexibility of collector surface increase with the increasing of focal length. also, it is clear that the scenario (s5) has the highest rigidity between all scenarios. this can be attributed to the presence of folded edges. the changes of displacement are random with time. this indicate that the wind loading excite the collector to vibrate in compound mode of vibration because the wind loading is also random and consist of a spectrum of frequencies. although, the values of displacement are seems to be very small because the wind loading at this wind velocity (10m/s) is not sufficient to excite the collector with high level of response. fig. 15. displacement of collectors due to wind loading. aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 29 15. conclusion the most important conclusions drawn from this research are: 1the drag coefficient increases with the decreasing of focal length because the decreasing of focal length leads to increasing vertical projected area and this will increase the friction part of drag. 2decreasing of focal length leads to decreasing of lift coefficient because the decreasing of focal length leads to decreasing the horizontal projected area. 3the increasing of focal length leads to decreasing the moment coefficient. 4changing of the curvature of the parabolic trough has more effect on the drag force than that on lift force because the drag force depend on pressure drag and friction drag and the changing the projected area leads to changing in flow pattern around the collector where the friction drag will increase significantly. 5the values of natural frequencies increase with the decreasing of focal length because the rigidity of the collector will increase. 6the difference in focal length does not lead to high changes in the first mode shape. 7the displacement of a point on collector surface due to wind loading increases with the increasing of focal length because the rigidity of the collector will decrease. 16. appendix 1: load coefficients [9] wind load effects are characterized in terms of non-dimensional coefficients. the definitions of the load coefficients are: drag horizontal force coefficient = lift vertical force coefficient = pitching moment coefficient = where fx, fz, and my are the aerodynamic loads. these aerodynamics loads are calculated by integrating the point pressure values over the trough surface. l is the length of the trough, and d is the aperture width of the collector figure (1). the quantity, q, is the mean reference dynamic pressure measured at the height of the solar collector. = here u is the mean wind speed at the height, and ρ is the density of air. 17. appendix 2: the first, second and third mode shape of mit collector fig. 16. first mode shape. aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 30 fig. 17. second mode shape. fig. 18. third mode shape 18. references [1] h. h. hamad, "study on wind loads coefficients and flow field characteristics around the parabolic trough with stiffeners" university of technology, baghdad, 2012. [2] soteris a. kalogirou " solar thermal collectors and applications" progress in energy and combustion science, 30 (2004), 231–295. [3] n. naeeni, m. yaghoubi, “analysis of wind flow around a parabolic collector” renewable energy 32 (2007) 1898–1916. [4] m.t. lates, mechanical behavior analysis with the finite element method of solar collectors tracking systems. wseas transaction on applied and theoretical mechanics. issn 1991-8747, issue 7, volume 3, july 2008. [5] a. miliozzi, d. nicolini, g. arsuffi and l. sipione. numerical evaluation of wind action on parabolic trough collectors. 8th. world congress on computational mechanics (wccm8). 2008. [6] l.m. morphy, “wind loading on tracking and field mounted solar collectors”, solar energy research institute, golden, colorado, 80401, 1980. [7] j.a.peterka, z. tan, b. bienkiwicz, j. e. cermak, fort collins, “wind loads on aladine abdulkader kazem al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 2132 (2013) 31 heliostats and parabolic dish collectors”, solar energy research institute, 1988. [8] n. u. gunasena, “an experimental study of mean wind forces on hemispherical solar collectors”, m.sc thesis, texas tech university, 1989. [9] n. hosoya and j.a. peterka,” wind tunnel tests of parabolic trough solar collector”, national renewable energy laboratory, 2008. [10] zeinab s. abdel-rehim, ashraf lasheen," experimental and theoretical study of a solar desalination system located in cairo, egypt", science direct, desalination 217 (2007) 52–64. [11] eckhard lüpfert, michael geyer , wolfgang schiel, antonio esteban, rafael osuna, eduardo zarza, paul nava "eurotrough design issues and prototype testing at psa" , proc. of asme int. solar energy conf.-forum 2001, solar energy: the power to choose, washington, dc, april 21-25, pp. 389–394. [12] hank price, eckhard lüpfert, david kearney, eduardo zarza, gilbert cohen, randy gee, "advances in parabolic trough solar power technology" , journal of solar energy engineering, may 2002, vol. 124 / 109 [13] stacy l. figueredo, parabolic trough solar collectors: design for increasing efficiency, ph.d thesis, mechanical engineering department, mit, 2011. [14] h. h. hamad, "dynamic response of solar concentrating power system for self cleaning", ph.d. thesis, university of technology, mechanical engineering department, 2012. [15] ansys theory reference. twelve edition, 2009, ansys inc., south point, canonsburg, 2004. [16] sinan. a. ali “ study effect of riblet upstream wing-wall junction numerically and experimentally” ,m.sc. thesis, mechanical eng. dept. university of technology, 2011. [17] asm handbook, volume 21, composite, 2001. )2013( 21-32 ، صفحة2، العدد9مجلة الخوارزمي الھندسیة المجلد عبد القادر عالء الدین 32 دراسة تأثیر انحناء المجمع الشمسي على االستجابة الدینامیكیة للمجمع الشمسي خالد حمید حسین عالءالدین عبد القادر جامعة بغداد /قسم الشؤؤن الھندسیة الخالصة تركز العمل على دراسة تاثیر انحناء المجمع الشمسي ذو المقطع بشكل قطع مكافئ على معامالت االحمال الھوائیة واالستجابة الدینامیكیة , في ھذا البحث تخداما في العالم وتمت تمت دراسة انحناء اكثر المجمعات الشمسیة اس. تم ایجاد استجابة المجمع لتاثیر االحمال الھوائیة عددیا وعملیا.للمجمع الشمسي تم اجراء الجانب العملي للتحقق من دقة . الھیكل-تمت دراسة االستجابة الدینامیكیة للمجمع الشمسي باستخدام الحل العددي لمفھوم تفاعل المائع. المقارنة بینھا دیة استخرجت باستخدام طریقة العناصر المحددة عن طریق برنامج النتائج العد. النتائج العددیة وقد اظھرت النتائج العملیة تقاربا جیدا مع النتائج العملیة ، الكبح(ادى الى تغیرات واضحة في قیمة االحمال الھوائیة ) البعد البؤري(لقد وجد ان تغییر تقوس المجمع الشمسي . ansys 14المحاكاة الحاسوبي . طبیعیة ولكن نسق االھتزاز االول لم یتأثروكذلك الترددات ال) االزاحة(االستجابة الدینامیكیة ،)الرفع والعزم (microsoft word \345\344\317 \322\345\355\321136-144) al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 1, march, (2018) p.p. 136-144 inverse kinematics solution for redundant robot manipulator using combination of ga and nn hind z. khaleel department of control and systems engineering/ university of technology/ baghdad/ iraq email: hhindzuhair@yahoo.com (received 8 august 2016; accepted 15 october 2017) https://doi.org/10.22153/kej.2018.10.008 abstract a demonstration of the inverse kinematics is a very complex problem for redundant robot manipulator. this paper presents the solution of inverse kinematics for one of redundant robots manipulator (three link robot) by combing of two intelligent algorithms ga (genetic algorithm) and nn (neural network). the inputs are position and orientation of three link robot. these inputs are entering to back propagation neural network (bpnn). the weights of bpnn are optimized using continuous ga. the (mean square error) mse is also computed between the estimated and desired outputs of joint angles. in this paper, the fitness function in ga is proposed. the sinwave and circular for three link robot end effecter and desired trajectories are simulated by matlab program. joint angles and end effecter positions of robot results values of circular trajectory are better than joint angles end effecter positions of robot results values of nn work in another paper. three link redundant robot workspace is also simulated. the outputs results of best three joint angles are evaluated for two trajectories sinwave and circular, with 50 generations the algorithm is fast. this paper presents the simulations results that are obtained based on matlab r2010b program. keywords: redundant robot, genetic algorithm, neural network, inverse kinematics. 1. introduction one of the main problems for serial-chain manipulators robots is the inverse kinematics problem, where, it needs to find the values of the joint positions given the position and orientation of the end-effector relative to the base. for solving the inverse kinematics problem, there are many solutions [1]. neural networks have been widely applied to solve the robot manipulator inverse kinematics problems. the proposed hybrid approach combined the electromagnetismlike method and the neural network to solve the inverse kinematics problem. extreme learning machine (elm) is used to train the neural network [2]. another neural network solution of the inverse kinematics problem is used for a threejoint robotic manipulator where, the neural network is trained until the error is acceptable [3]. in addition, an artificial neural network (ann) model is presented to find the inverse kinematics solution of a scara manipulator [4]. the genetic algorithm is determined the optimal joint angles in a given search space for three planar manipulator robot that would contribute to a productive and a quality way of material handling and processing [5]. the only genetic algorithm is used to optimization the inverse kinematics of three degrees of freedom model industrial robot manipulator and improving the efficiency of the model [6]. 2. related work 1. the combing of ga and bpnn algorithm of the end effecter positions (x, y) and joint angles of circular trajectory are evaluated as shown in figure 7. these positions and joint angles of circular trajectory are better than the positions and joint angles of circular trajectory of the adrian's work [7]. adrian's work [7] is just used nn hind z. khaleel al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 136144 (2018) 137 algorithm without ga. in addition, in this paper, the end effecter positions (x, y) and joint angles of the sinwave trajectory are demonstrated and simulated as shown in figure 8, while in adrian's work, the only circular trajectory is presented. 2. the proposed flowchart of ga and bpnn algorithm is illustrated as shown in figure 6 and the two difficult trajectories results are simulated, one for the sinwave trajectory and the second for the circular trajectory, but the researchers md and tania [10] are just presented ga and nn algorithm but they did not evaluated any results of any trajectory. 3. modeling of redundant robot manipulator the modeling of three link redundant robot is presented as the following: 3.1. forward kinematics for three link manipulator the forward kinematics means that using the kinematic equations of the three link robot manipulator in order to evaluate the position of the end-effecter from the joint values [7][8]. the three link manipulator robot configuration with all parameters is as shown in figure 1. fig. 1. three link planner manipulator robot configuration [7]. where a�, a�, a� are the three link of robot respectively and th1, th2, th3 are the joint angles. three links are connected by joints whose all axes are perpendicular to the plane of the links. the forward kinematics of the robot equations are illustrated below [7][8]. x� � a� cos�th�� � a� cos�th� � th�� � a� cos�th� � th� � th�� y� � a� sin�th�� � a� sin�th� � th�� � a�sin �th� � th� � th�� …(1) where, (x� , y�) are the coordinates (position) of end effecter for the three link robot and the orientation is �th�) as in eq. 2 th� � th� � th� � th� …(2) the link parameter table of forward kinematics for three link robot is presented in the table 1. table 1. link parameter table of forward kinematics for three link robot link �� (m) �� (deg.) �� (m) �� (deg.) 1 2 0 0 θ� ∗ 2 2 0 0 θ� ∗ 3 2 0 0 θ� ∗ where, di is distance, θi is angle, ai is length and αi is twist angle, θ� ∗= th�, θ� ∗= th� and θ� ∗= th� the ranges of three joint movements are: 0 < th�< π, π < th�< 0, -π/2 < th�< π/2 the three link robot is required to move along the circular trajectory in its workspace. the coordinates of the circle equation are demonstrated as below: x� � x� � r cosφ y� � y� � r sinφ ...(3) where, (x�, y�) are the desired position of the end-effecter, (x�, y�) are the coordinates of the circle's center, r is the circle's radius. the angle (φ) ranges between 0 and 2π. the desired orientation of the end-effecter is expressed by: th! � tan #� �y� /x�� ...(4) the three link robot is also move along the sinwave trajectory in its workspace. the coordinates and the desired orientation of the endeffecter are expressed as: x� � 0: 2π , y� � sinx� …(5) ph* � tan #�� y� /x�� …(6) by using the forward kinematics eq. 1 and eq. 2 the workspace of redundant three link robot are simulated for 1000 random points as shown in figure 2: hind z. khaleel al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 136144 (2018) 138 fig. 2. simulation results of three joints for threelink robot workspace. where the black line is the first link, the red line is the second link and the blue line is the third link of redundant robot. 4. combination of ga and nn algorithm in this paper, the ga is used in order to optimize the weights of nn as explained in below: 1the initialize inputs are end effecter position and orientation�x�, y�, th�) from eq. 1 and eq. 2 and initialization the weights and biases values randomly. 2 bpnn algorithm is divided into three programs in order to evaluate each target output so that we have three programs one for th�, second for th� and third for th�. 3the multilayer feed forward neural networks consist of three layers. there are three programs, in each program the number of these layers is: input layer= 3, hidden=3 and output=1 for neuron=30 so that finally there are three outputs of joint angles. 4 the back propagation neural network (bpnn) is used and the epoch=1000 as shown in figures (3, 4, 5). fig. 3. bpnn structure for three-link robot of th1 output. fig. 4. bpnn structure for three-link robot of th2 output. fig. 5. bpnn structure for three-link robot of th3 output. 5the performance of the neural network is evaluated by the general form of mean square error (mse) for output is: mse � � . / �desired2 3 estimated2� �. 25� …(7) hind z. khaleel al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 136144 (2018) 139 where, n: total number of samples. 6if the mse < minimum error then go to optimise the weights and biases values by using continuous ga. 7the continuous ga is programmed using toolbox [9] and the parameters are shown in table 2: table 2. the specifications of ga simulation parameter value population 30 number of generations 50 crossover rate 80% mutation rate 5% 8the fitness function is proposed as minimization the following form: fitness � � �789� …(8) according to the step 2 there are three programs so that the eq. 8 is applied once time in each program in order to get the optimal angles outputs (th1, th2, th3) by optimization the nn weight values. figure 6 shows that the proposed flowchart of the combination ga and bpnn algorithm as compared with [10]. in this paper, the proposed equation is used as a fitness function as in eq. 8 and also, the continues ga is used in order to optimize the weights values. the continues ga is used because is faster than the binary ga. the two difficult trajectories are presented, one for sinwave trajectory and second for circular trajectory. the results of this paper are demonstrated the best results of joint angles for three link redundant robot. as compared with another work of the researchers md and tania [10] where, they did not have any results of any trajectory. fig. 6. flowchart of bpnn optimization by ga. 5. simulation and discussion results matlab program version r2010b is used in this work in order to simulate the results of three link redundant robot by using combination of ga and nn algorithm. in this paper the outputs results is evaluated of best three joints angles �th�, th�, th�� in radians of the sinwave and the circular trajectory for the redundant three link robot as shown in the following table 3 and table 4: hind z. khaleel al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 136144 (2018) 140 table 3. best three joints angles results of the sinwave trajectory for three link redundant robot. table 4, best three joints angles results of the circular trajectory for three link redundant robot. th1(rad.) th2(rad.) th3(rad.) 1 2.09439510239320 2.09439510239320 -4.18879020478639 2 2.79682251513915 2.25366107507819 -4.26842319112889 3 2.71152693748771 2.40412061902860 -4.34365296310410 4 2.62427838158158 2.54472526439636 -4.41395528578797 5 2.53526739838127 2.67462289897448 -4.47890410307703 6 2.44446364128157 2.79330131331349 -4.53824331024654 7 2.35159812137175 2.90073067337049 -4.59195799027504 8 2.25618015885843 2.99749242117126 -4.64033886417542 9 2.15756521427283 3.08487018524838 -4.68402774621398 10 -1.06323016907846 3.11831562487515 -1.55915781243758 11 -1.09481259810948 3.04305133092376 -1.52152566546188 12 -1.13254807333171 2.96945160644182 -1.48472580322091 13 -1.17282514346554 2.89434286113368 -1.44717143056684 14 -1.21168625695458 2.81483514145648 -1.40741757072824 15 -1.24526823875282 2.72868180908046 -1.36434090454023 16 -1.27025409882385 2.63451890278899 -1.31725945139450 17 -1.28420404400100 2.53192829443235 -1.26596414721617 18 -1.28568282337062 2.42132944016560 -1.21066472008280 19 -1.27418523676859 2.30375290665779 -1.15187645332890 20 -1.24992622513004 2.18056245366256 -1.09028122683128 21 -1.21357817080457 2.05317572280596 -1.02658786140298 22 -1.16601680014912 1.92280583262665 -0.961402916313326 23 -1.10810435642057 1.79022314001794 -0.895111570008968 24 -1.04051183255196 1.65552230081735 -0.827761150408674 25 -0.963563644590466 1.51786835868874 -0.758934179344371 26 -0.877069353067111 1.37517061049141 -0.687585305245703 27 -0.780065882625219 1.22355531083850 -0.611777655419249 28 -0.670264929463752 1.05625087844625 -0.528125439223125 29 -0.542489244228584 0.860473857929541 -0.430236928964771 30 -0.382265572924653 0.604664848551176 -0.302332424275588 th1(rad.) th2(rad.) th3(rad.) 1 -0.359000500128900 1.74470794844022 -0.891416538376323 2 -0.349000367928000 1.74470829362557 -0.880525068783556 3 -0.319568694854553 1.73157976642175 -0.863870052585719 4 -0.259220256446807 1.72581950794822 -0.861147611399690 5 -0.225801224656687 1.73670909020314 -0.868219308432655 6 -0.202804732134982 1.76905729194382 -0.891939490523948 7 -0.190725784329956 1.83226560408357 -0.918965817896581 8 -0.186648895748110 1.90991302234134 -0.965276548758722 9 -0.207409242369409 1.99777818433564 -0.993677994456423 10 -0.211033839456256 2.06970777585943 -1.05095161771735 11 -0.222800551424235 2.16448724068362 -1.11296511384970 12 -0.298593737649912 2.31664157226902 -1.14749549766792 13 -0.323658967067925 2.40977504100077 -1.21451016137534 14 -0.386628436397731 2.50458713022614 -1.24553517872607 15 -0.469689148396207 2.61568585061130 -1.31873208478356 16 -0.553184555200184 2.68625454397890 -1.34068568646420 17 -0.637319007507458 2.77123450838716 -1.37817289235731 18 -0.696122532778854 2.80714614211468 -1.40876908296648 19 -0.809744922978563 2.83702052480132 -1.41827793872577 20 -0.891817858560614 2.82927432255935 -1.41558668669993 21 -0.918072453635902 2.75427010517449 -1.40346938555446 22 -0.990258741674132 2.74176278949666 -1.38096679821293 23 -0.995110369446019 2.65892617286818 -1.33715324615576 24 -0.999999999999810 2.61648188831068 -1.28374208696240 25 -0.958696617519971 2.51550410086786 -1.24420863108735 26 -0.849059015280863 2.31437465818569 -1.18259768460465 27 -0.819666197772313 2.24490448157502 -1.12570211327658 28 -0.757983669931919 2.14688005730974 -1.08253153714546 29 -0.694423514277570 2.07019207007971 -1.03606206660692 30 -0.628635577131678 2.00167217994412 -0.995038006886263 hind z. khaleel al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 136144 (2018) 141 figure 7 below shows that the desired circular trajectory is simulated depending on eq. 3 and eq. 4. where, the combing of ga and bpnn algorithm of the end effecter circular trajectory is evaluated and it is better than the circular trajectory of the adrian's work [7] where, the adrian's work is just used nn algorithm. fig. 7. the three link robot end effecter and the desired circular trajectories. in figure 8 the three link robot sinwave end effecter trajectory is simulated according to combine of ga and bpnn algorithm, while, the desired sinwave trajectory is simulated according to the eq. 5 and eq. 6. fig. 8. the three link robot end effecter and the desired sinwave trajectories. in each trajectory there are three fitness functions are evaluated according to the eq. 8 as shown in figures (9, 10, 11, 12, 13, 14), where the black color is the best fitness values and the blue color is mean fitness: fig. 9. best fitness value for :;< output of sinwave trajectory and average distance between individuals. fig. 10. best fitness value for :;= output of sinwave trajectory and average distance between individuals. hind z. khaleel al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 136144 (2018) 142 fig. 11. best fitness value for :;> output of sinwave trajectory and average distance between individuals. fig. 12. best fitness value for :;< output of circular trajectory and average distance between individuals. fig. 13. best fitness value for :;= output of circular trajectory and average distance between individuals. fig. 14. best fitness value for :;> output of circular trajectory and average distance between individuals. 6. conclusions in this paper the combing of ga and nn algorithm is presented in order to solve the problem of inverse kinematics for three link redundant robot. the inputs ( x�, y� , th�) are end effecter position and orientation of the three link robot. the back propagation neural network (bpnn) is used for training the data. the outputs of bpnn are computed then the mse is evaluated between the estimated and desired outputs. the proposed fitness function is computed with ga. the continues ga is used in order to optimize the weights values with training the data in bpnn by combing ga and nn algorithm. this algorithm is presented in order to solve the inverse kinematics problem and to compute the best values of three joint angles. the continues ga is so fast with 50 generations. the best joint angles outputs results (th1, th2, th3) of sinwave and circular trajectories are evaluated from the combing ga and nn algorithm. in addition, the simulation of three link redundant robot workspace is presented. notation x�,y� position of end effector three link robot th�, th� , th� three joint angles of three link robot th� orientation of three link robot x�, y� desired position of the end-effecter of the and sinwave circle trajectories hind z. khaleel al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 136144 (2018) 143 x�, y� coordinates circle's center r circle's radius th! desired orientation of the end-effecter of the circle trajectory ph* desired orientation of the end-effecter of the sinwave trajectory ga genetic algorithm nn neural network bpnn back propagation neural network mse mean square error m meter di distance θi angle ai length αi twist angle deg. degree rad. radian greek letters φ circle's angle θ* joint angle 7. references [1] bruno siciliano, oussama khatib, springer handbook of robotic, springer-verlag berlin heidelberg, 2008. [2] y. feng, w. yao-nan and y. yi-min, inverse kinematics solution for robot manipulator based on neural network under joint subspace, int j comput commun, issn 1841-9836, vol.7, no. 3 september, pp. 459-472, 2012. [3] raşit köker, cemil oz, tarık c¸ akarb and hüseyin ekiz, a study of neural network based inverse kinematics solution for a threejoint robot, elsevier, robotics and autonomous systems 49 -227–234, 2004. [4] panchanand jha, bb biswal, a neural network approach for inverse kinematic of a scara manipulator, international journal of robotics and automation (ijra), vol. 3, no. 1, issn: 2089-4856, march, 2014. [5] f.y.c. albert, s.p. koh, c.p. chen, s.k.tiong and s.y.s. edwin, optimizing joint angles of robotic manipulator using genetic algorithm, iacsit press, singapore, 8ipcsit vol.2, 2011. [6] j. ramirez a., and a. rubiano f., optimization of inverse kinematics of a 3r robotic manipulator using genetic algorithms, international journal of mechanical, aerospace, industrial, mechatronic and manufacturing engineering vol:5, no:11, 2011. [7] adrian-vasile duka, neural network based inverse kinematics solution for trajectory tracking of a robotic arm, elsevier, the 7th international conference interdisciplinarity in engineering, 2014. [8] adri`a colom´, smooth inverse kinematics algorithms for serial redundant robots, master thesis, institut de rob`otica i inform`atica industrial, 2011. [9] http://www.mathworks.com/help/pdf_doc/ga ds/gads_tb.pdf. accessed on 1/08/2016. [10] md. mijanur rahman, tania akter setu, an implementation for combining neural networks and genetic algorithms, ijcst vol. 6, iss ue 3, july – sept., 2015. )2018( 136-144، صفحة1د، العد14دجلة الخوارزمي الهندسية المجلمهند زهير خليل 144 nnو ga لـ دمجمناور باستخدام المتعدد الروبوت لل العكسيةالكينماتيكا حل هند زهير خليل قسم هندسة السيطرة والنظم / الجامعة التكنولوجية / العراق/ بغداد hhindzuhair@yahoo.com :البريد االلكتروني ________________________________________________________ الخالصة ةالمتعدد ةالمناور اتروبوتالكينماتيكا العكسية ألحد لل تقدم حال. هذه المقالة المتعدد المناورللروبوت جداً ة معقدةالعكسية هي مشكل الكينيماتيكاحساب اتجاه الروبوت و عالمدخالت هي موق . nn (الشبكة العصبية)و gaة الجينية ) خوارزمي(ال ذكيةال خوارزمياتالاثنين من دمجطة سابو (الروبوت الثالثي) ة الجينية خوارزميال باستخدام االفضل تعد bpnnوزان اال ).bpnn(المنشورة العكسية . تدخل هذه المدخالت إلى الشبكات العصبيةالروابط الثالثي زوايا المشتركة.للطلوبة مخرجات المقدرة والمالأيضا بين mseيتم احتساب (متوسط مربع الخطأ) .ga ةمستمرال محاكاتها ببرنامج وتمطلوبة الم الروابطروبوت ثالثي ال لنهاية طرف يةو الدائر ةالموج اتتم اقتراحها. مسار gaدالة الفتنس في ،في هذه المقالة matlab . نهاية الطرف للروبوت و مواقع زوايا المشتركةالنتائج للمسار الدائري افضل من نهاية الطرف للروبوتو مواقع زوايا المشتركةالنتائج ان نتائج المخرجات الفضل ان .الروابطمتعدد الروبوت الثالثي مساحة كما تم محاكاة . nnحيث فقط في العمل االخر تم استخدام عمل اخر لللمسار الدائري باالعتماد ة التي يتم الحصول عليها نتائج المحاكا مقالةسريعة. تقدم هذه ال فانها خوارزميةلل جيل ٥٠. ب والدائري يمساريين الموجلتم حسابها لزوايا ثالث .matlab r2010bبرنامج على د عامر al-khwarizmi engineering journal, vol. 10, no. 2, p.p. utilizing a magnetic abrasive finishing technique (m adaptive department of automated manufacturing engineering / alkhwarzmi college of engineering/ university of baghdad e-mail: amermoosa@kecbu.uobaghdad.edu.iq (received 3 october abstract an experimental study was conducted for abrasive finishing technique (maf) on brass process where the cost is high and much more susceptible to surface damage as compared to other materials. four operation parameters were studied, the gap between the work generate the flux, the rotational spindale speed and amount of abrasive powder size considering constant linear feed movement between machine head and workpiece. adaptive for evaluation of a series of experiments an optimized and usefully achieved by obtained results predicted by model simulation and that of direct measure is 2.0222 % keywords:magnetic abrasive finishing (maf), adaptive roughness, (rmse) root mean square error, membership 1. introduction magnetic abrasive finishing (maf) is a super finishing method comparing with the other traditional operation of surface finishing grading, lapping etc., due to the attitude magnetic flux controlling to its cutting force combining with flexibility of magnetic and brush shape which minimize the possibility micro cracks on the surface of the workpiec (maf) the workpiece is held between the machine table that imposed to directional feed rate and the magnetic poles of the head nose (inductor) where the gap between the workpiece nose is filled with abrasive particle powder that shaped by the flux. this configuration act as smooth grinding brush and behaves multipoint cutting tool operation [1][2].wang hu [3] described the principle of the process khwarizmi engineering journal, vol. 10, no. 2, p.p. 4956 (2014) utilizing a magnetic abrasive finishing technique (maf adaptive nero fuzzy(anfis) amer a. moosa department of automated manufacturing engineering / alkhwarzmi college of engineering/ university of baghdad amermoosa@kecbu.uobaghdad.edu.iq 3 october 2013; accepted 15 april 2014) for measuring the quality of surface finishing roughness plate which is very difficult to be polish by a conventional machining is high and much more susceptible to surface damage as compared to other materials. four gap between the work piece and the electromagnetic inductor speed and amount of abrasive powder size considering constant linear feed head and workpiece. adaptive neuro fuzzy inference system (anfis) nd a verification with respect to specimen roughness obtained results were an average of the error between the surface roughne t of direct measure is 2.0222 %. finishing (maf), adaptive neuro fuzzy inference system (anfis), (ar) average membership function (mf). (maf) is a super the other finishing like attitude of the magnetic flux controlling to its cutting force powder e possibility of the surface of the workpiece. at between the t imposed to directional feed rate (inductor) and the powder that this configuration act as smooth grinding brush and behaves like wang and of the process and finishing characteristics of unbounded magnetic abrasive within internal tubing finishing. they also deal with the design and fabrication of maf setup for finishing three kinds of materials tubing, such as (ly12) aluminum alloy, ( steel and (h62) brass. geeng et a described the process principles and its characteristics of unbounded magnetic abrasive within cylindrical magnetic abrasive finishing. they investigated the finishing characteristics on surface roughness and material removal as well as their mechanisms.mori et al. [5] examined the magnetic field, acting forces and provides a fundamental understanding of the process mechanism. a planar type process for a non magnetic material, stainless steel, was introduced.maiboroda and khomenko [6] investigated how the frictional force between magnetic-abrasive powders and(ti al-khwarizmi engineering journal af) via department of automated manufacturing engineering / alkhwarzmi college of engineering/ university of baghdad roughness using magnetic conventional machining is high and much more susceptible to surface damage as compared to other materials. four piece and the electromagnetic inductor, the current that speed and amount of abrasive powder size considering constant linear feed (anfis) was implemented change has been between the surface roughness (anfis), (ar) average finishing characteristics of unbounded magnetic rasive within internal tubing finishing. they also deal with the design and fabrication of maf setup for finishing three kinds of materials tubing, (316l) stainless geeng et al. [4] also and its finishing characteristics of unbounded magnetic abrasive within cylindrical magnetic abrasive finishing. they investigated the finishing characteristics on surface roughness and material removal as well as al. [5] examined the magnetic field, acting forces and provides a fundamental understanding of the process mechanism. a planar type process for a nonmagnetic material, stainless steel, was introduced.maiboroda and khomenko [6] onal force between ti) alloy surface mailto:amermoosa@kecbu.uobaghdad.edu.iq mailto:amermoosa@kecbu.uobaghdad.edu.iq amer a. moosa al-khwarizmi engineeri varies during magnetic-abrasive machining in relation to the technological parameters. they studied experimentally the effects of five types of powders with different grain sizes. dhirendra et al. [7] reported the experimental findings about the forces acting during maf and provides correlation between the surface finish and the forces. nazar [8]reported the experimental findings the forces acting during maf and provides correlation between the surface finish and this force. it is concluded that forces and the change in surface roughness (δra) increase with increasing of the current value impose electromagnet (or magnetic flux density) and decreasing in the working gap. the researchers filled the working gap with a homogeneous mixture of silicon carbide abrasives and ferromagnetic iron particles at a ratio of 25:75 weight, respectively. in this paper a model based on (anfis) for (amf) process was performed using brass metal workpieces to estimate its surface roughness an adoption of objective simulation is carried to optimize the solution obtained by the model. 2. experiments an electromagnetic inductor was designed and manufactured to implement (maf) on workpiece by milling machine as shown in fig. 1. consist of (1) inductor of steel road wrapped with a coil of wire (2) work piece (brass) (3) d.c power supply (4) machine spindle (5) inductor body (6) shank (7) milling table. while fig. 2. shows (1) magnetic powder particle(2) abrasive brush (3) gap between head nose and work piece. the inductor material is low carbon steel (c15) with a cross section of (a) =14cm2 and long of (l)is (75mm) and copper wire diameter of (ø)=1mm and number of turns is (n 2400) while the powder is (40%) iron and (60%) quartz centered in (1200 c°) and then were crushed to (150μm) of approximated diameter shows under sem, jsm-6360 lv scanning microscope in fig. 3. the process parameters has been changed during the operation as follows: the working gap from (10 to 20)mm,current responsible to change the flux from (1.5 to 3.5) amp, volume of the powder from (2 to 4) cm3 and the rotation speed from (175 to 5250) rpm with a feed rate of (30) mm/min. khwarizmi engineering journal, vol. 10, no. 2, p.p. 50 abrasive machining in relation to the technological parameters. they studied experimentally the effects of five types of the experimental findings about the forces acting during maf and provides correlation between the surface finish the experimental findings of the forces acting during maf and provides tween the surface finish and this change in surface roughness (δra) increase with the value impose to the electromagnet (or magnetic flux density) and the the researchers with a homogeneous mixture of silicon carbide abrasives and of 25:75 in in this paper a model based on (anfis) for (amf) process was performed using brass metal ghness and carried out solution obtained by the model. an electromagnetic inductor was designed and manufactured to implement (maf) on workpiece by milling machine as shown in fig. 1. consist of (1) inductor of steel road wrapped with a coil of wire (2) work piece (brass) (3) d.c power supply le (5) inductor body (6) shank (7) milling table. while fig. 2. shows (1) magnetic powder particle(2) abrasive brush (3) the inductor material is low carbon steel (c15) with a cross section of (a) =14cm2 and long of l)is (75mm) and copper wire diameter of 1mm and number of turns is (n 2400) while the powder is (40%) iron and (60%) quartz ) and then were crushed to m) of approximated diameter shows under 6360 lv scanning microscope shown the process parameters has been changed during the operation as follows: the working gap from (10 to 20)mm,current responsible to change the flux from (1.5 to 3.5) amp, volume of the powder from (2 to 4) cm3 and the rotation speed 75 to 5250) rpm with a feed rate of (30) fig. 1. magnetic abrasive devices. fig. 2. magnetic brush of electromagnet poles. fig. 3. sem (x 100) of magnetic abrasive particles. 3 2 ng journal, vol. 10, no. 2, p.p. 4956 (2014) fig. 1. magnetic abrasive devices. fig. 2. magnetic brush of electromagnet poles. fig. 3. sem (x 100) of magnetic abrasive particles. 1 amer a. moosa al-khwarizmi engineering journal, vol. 10, no. 2, p.p. 4956 (2014) 51 the work piece is divided into nine parts represent the three level configuration as shown in tables (1and 2) respectively. some of them were operated traditionally and the other has been simulated as an artificial intelligent base of (anfis) (fig. 4.) each piece is fixed in such a way that the center of the work piece coincides with the center of the head nose. the required gap between them is filled with powder abrasive particles. after each experiment, the change in surface roughness value (δra) is determined by measuring (ra) via tester tr220 (fig. 5). table 1, three level parameters. table 2, parameters configuration. fig. 4. photo of some of the work pieces. fig. 5. surface roughness tester, (tr-220). 3. anfis optimization technique anfis is a hybrid predictive method that combines the neural network tool to the fuzzy approaches to generate mapping scheme between input parameters and output results. the structure of this model consist of five layers, each layer is constructed by several nods. anfis behave just like the neural network where the structure of each layer is obtained by the node of the previous layers as shown in fig. 6.a numbers of initiating data among all data set have been selected as training data, and then the trained network was validated by other data set. the root mean square error (rmse) is applied to this work for inspection purposes of the trained model as follows : rmse = √ [1/tr∑ tri = 1(ti − yi)^2] …(1) where (tr) are the total number of training samples, (ti)is the real output value, and (yi) is the anfis output value in training from matlab parameters units levels rotational speed (p1) rpm 175 350 525 coil current (p2) amp 1.5 2.5 3.5 volume of powder (p3) cm3 2.0 – 3.0 – 4.0 working gap (p4) mm 1.0 1.5 2.0 exp. factors rotational speed (p1) (rpm) coil current (p2) (amp) volume of powder (p3) (cm3) worki ng gap (p4) (mm) 1 175 1.5 2 2 2 350 2.5 3 3 3 525 3.5 4 4 4 350 1.5 4 4 5 525 2.5 2 2 6 175 3.5 3 3 7 525 1.5 3 3 8 175 2.5 4 4 9 350 3.5 2 2 amer a. moosa al-khwarizmi engineeri platform using fuzzy tool representing by anfis guide user interface with the adoption the attitude of e and c. a fuzzy inference system of sugeno model is conducted as follows: a two rule sugeno anfis has rules of the form if x is a1 and y1 is b1 then f = p1 x + q1 y +r1 if x is a2 and y2 is b2 then f = p2 x + q2 y + r2 for the training network fig 3e the rmse was set to (0.02) and the iteration number was (30)epochs where the layers act as follow: layer 1 (fuzzification layer): it transforms the crisp inputs (xi) to linguistic labels ( , like small, medium, large etc.) with a degree of membership. the output of node (oij) or could represent by (ki) is expressed as follows: oij1=ok1= μij(xi) , i= 1...m , j = 1...n where (μij)is the (jth) membership function the input (xi). layer 2 (product layer): for each node (k) in this layer, the the output represents a weighting factor (e) (firing strength) of the rule (k). the output (wk) is the product of all its inputs as follows: fig. 6. 4. results and discussion after using several types of member function, the gaussian function fig. 7. w selected to be more accumulate with modeling behavior as follows: khwarizmi engineering journal, vol. 10, no. 2, p.p. 52 platform using fuzzy tool representing by anfis guide user interface with the adoption the attitude f sugeno a two rule sugeno anfis has rules of the …(2) …(3) for the training network fig 3e the rmse was set to (0.02) and the iteration number was (30)epochs layer 1 (fuzzification layer): it transforms the , like small, medium, large etc.) with a degree of membership. the output of node (oij) or could represent by (ki) is …(4) th) membership function for layer 2 (product layer): for each node (k) in this the output represents a weighting factor (e) (k). the output (wk) is the product of all its ok2 = wk = u1e1(x1)u2e2(x2)…um em k=1…n ,e1,e2…em , =1…n layer 3 (normalized layer): the output of each node (k) in this layer represents the normalized weighting factor (wk|) of the (kth) rule as follows: ok3 = wk| = (wk) / (w1+w2+…wn) layer 4 (de-fuzzification layer): each node of this layer gives a weighted output of the first order tsk-type fuzzy if then rule as follows: ok4 = wk| fk where fk represents the output of (kth) tsk (takagi-sugeno-kang)-type fuzzy rules. layer 5 (output layer): this single represents the overall output (y) of the network as the sum of all weighted outputs of the rules: o5 = y = ∑ nk = 1 (wk| fk) it is inevitable to consider that the fuzzy set is a decision-making process comparison with anfis, which raise the ability of the knowledge base decision-making system with its capability to produce the rules for simulation process. fig. 6. anfis network structure. embership fig. 7. was selected to be more accumulate with modeling u(x)=exp[-(x-c)^2/2σ^2] where: u(x) represents the mf input and x, parameters for gaussian function shape selected from the platform. ng journal, vol. 10, no. 2, p.p. 4956 (2014) ok2 = wk = u1e1(x1)u2e2(x2)…um em(xm) …(5) layer 3 (normalized layer): the output of each this layer represents the normalized weighting ok3 = wk| = (wk) / (w1+w2+…wn) …(6) fuzzification layer): each node of this layer gives a weighted output of the first order type fuzzy if then rule as follows: …(7) where fk represents the output of (kth) tsk type fuzzy rules. layer 5 (output layer): this single-node layer represents the overall output (y) of the network as the sum of all weighted outputs of the rules: …(8) it is inevitable to consider that the fuzzy set is a making process comparison with anfis, which raise the ability of the knowledge base making system with its capability to simulation process. …(9) the mf input and x,σ,c are function shape that amer a. moosa al-khwarizmi engineeri fig. 7. the experimental data are mapped to anfis and evaluates as patterns tanning/testing vectors where the training and testi performance for anfis was checked by equation number (1). the topology of the number of sets and epoch dedicates the number of rules used by anfis that reach 81 rules and its relate to the number of data and a comparison of experimental training /testing measured with those estimated by khwarizmi engineering journal, vol. 10, no. 2, p.p. 53 gaussian function selection box. to anfis /testing formed and testing ked by the the topology of the number of sets and epochs used by sugeno and its relate to the experimental training /testing measured with those estimated by anfis network as shown in f respectively. it is obvious to recognize the simulation fitting that shows good agreement for a wide range of acceptability and reliability. table 3. show the rmse process result of anfis model for a different type fig. 10. show the training error curve. after carrying out the process some of work pieces are shown in fig. 11. fig. 8. training session. ng journal, vol. 10, no. 2, p.p. 4956 (2014) fig. (8 and 9) simulation fitting a wide range of the rmse process result of a different type of mf. where the training error curve. carrying out the process some of work amer a. moosa al-khwarizmi engineeri fig. fig. 10. the error curve during the anfis process table 3, parameters results of anfis model . current mamp gap mmm powder cc 1.5 1 2 1.75 1.12 2.25 2 1.24 2.5 2.25 1.36 2.75 2.5 1.48 3 2.75 1.6 3.25 3 1.72 3.5 3.25 1.84 3.75 3.5 2 4 khwarizmi engineering journal, vol. 10, no. 2, p.p. 54 fig. 9. verification session. fig. 10. the error curve during the anfis process. powder cc speed r/rev rf u error 175 0.13 2.1 218.75 0.21 2.4 262.5 0.16 2.2 306.25 0.111 1.7 350 0.136 1.2 393.75 0.123 2.6 437.4 0.113 2.1 481.25 0.209 1.4 525 0.117 2.5 sum.18.2 18.2/9=2.02 ng journal, vol. 10, no. 2, p.p. 4956 (2014) sum.18.2 18.2/9=2.02 amer a. moosa al-khwarizmi engineeri fig. 11. pieces show the location of smooth mirror 5. conclusion and future work the most effective factor acting on anfis the accuracy of the simulation model which is depend on the type of mf of gaussian shape and the value of rmse which is presume to be low on this operation which is mean more reliability acceptability.the value number of gaussian mf is twice the number of inputs, which are current research and need to be examining to find if this happened by chance or there is a case of correlation. to explain this phenomenon, the researcher intends to approve in future work.the number of rmse is dedicated to make the training epochs continue until it become the target and that corresponding to the amount of epochs been settled and this arise the question the epochs cycle change with the respect to time series how could this situation effect the prediction confidence.this neuro fuzzy model enhance the result with respect to other model such as the traditional neural network because its rabidadaptation too bserve the structure process, also it is adapted to the increasing or adding of new inputs parameters regards to the expansion ability of fuzzy sets numbers and learning rules.more expected future result evaluating a good (quality and quantity) data sampling to obtain smaller results error (less than the acquired value of 0.022) in addition to how the flux shape could effect the powder figuration. khwarizmi engineering journal, vol. 10, no. 2, p.p. 55 show the location of smooth mirror. on anfis is the accuracy of the simulation model which is gaussian shape and to be low on reliability and gaussian mf is inputs, which are four for examining more by chance or there is a ain this phenomenon, in future s dedicated to make continue until it become below amount of arise the question if the respect to time fect the euro fuzzy model enhance the result with respect to other model because of structure of the also it is adapted to the increasing or regards to the s numbers and expected future result is to a good (quality and quantity) data results error (less than in addition to how ld effect the powder figuration. 6. reference [1] s.c. jayswal, v.k. jain, and p.m. dixit, “modeling and simulation of magnetic abrasive finishing process”, international journal of advanced manufacturing technology, vol.26 (2005), pp. 477 [2] ching-tien lin, lieh-dai yang, and han ming chow, “study of magnetic abrasive finishing in free-form surface operations using the taguchi method”, international journal of advanced manufacturing technology, (2006). [3] yan wang, and dejin hu, ”study on the inner surface finishing of tubing by magnetic abrasive finishing”, international journal of machine tools & manufacture, vol.45 (2005), pp. 43–49. [4] geeng-wei chang, biing-hwa, and yan, rong-tzong hsu, “study on cylindric magnetic abrasive finishing using unbounded magnetic abrasives”, international journal of machine tools & manufacture, vol.42 (2002), pp. 575–583. [5] t. mori, k. hirota, and y. kawashima, “clarification of magnetic abrasive finishing mechanism”, journal of materials processing technology, vols.143-144 (2003), pp. 682 686. [6] v. s. maiboroda and e. a. khomenko, “tribotechnical characteristics of ferroabrasive powders in magnetic machining”, journal of powder metallurgy and metal ceramics, vol.42 (200 [7] dhirendra k. singh, v.k. jain, and v. raghuram., “parametric study of magnetic abrasive finishing process”, journal of materials processing technology, vol.149 (2004), pp. 22–29. [8] nazar kais m.naif“study on the parameter optimization in magnetic abrasive polishing for brass plate using taguchi method “journal of college of engineering, vol,3(2011). [9] jae-seobkwak and tae-kyung kwak, “parameter optimization in magnetic abrasive polishing for magnesium plate”, ieee, vol.5 (2010), pp.544–547. ng journal, vol. 10, no. 2, p.p. 4956 (2014) s.c. jayswal, v.k. jain, and p.m. dixit, “modeling and simulation of magnetic abrasive finishing process”, international journal of advanced manufacturing technology, vol.26 (2005), pp. 477–490. dai yang, and hanming chow, “study of magnetic abrasive form surface operations using the taguchi method”, international journal of advanced manufacturing an wang, and dejin hu, ”study on the inner surface finishing of tubing by magnetic abrasive finishing”, international journal of machine tools & manufacture, vol.45 hwa, and yan, tzong hsu, “study on cylindrical magnetic abrasive finishing using unbounded magnetic abrasives”, international journal of machine tools & manufacture, vol.42 t. mori, k. hirota, and y. kawashima, “clarification of magnetic abrasive finishing of materials processing 144 (2003), pp. 682– v. s. maiboroda and e. a. khomenko, “tribotechnical characteristics of ferroabrasive powders in magnetic-abrasion machining”, journal of powder metallurgy 2 (2003), pp.9-10. dhirendra k. singh, v.k. jain, and v. raghuram., “parametric study of magnetic abrasive finishing process”, journal of materials processing technology, vol.149 study on the parameter ic abrasive polishing for brass plate using taguchi method llege of engineering, kyung kwak, “parameter optimization in magnetic abrasive polishing for magnesium plate”, 547. )2014( 4956، صفحة 2، العدد10دجلة الخوارزمي الھندسیة المجلمعامر عبد المنعم موسى 56 التنفیع باسلوب العصیبات المضببة لتطویر التشغیل بطریقة التنعیم باالحتكاك المغناطیسي عامر عبد المنعم موسى جامعة بغداد/ كلیة الھندسة الخوارزمي / قسم ھندسة التصنیع المؤتمت amermoosa@kecbu.uobaghdad.edu.iq :البرید االلكتروني الخالصة الى تم اجراء دراسھ تطبیقیھ لقیاس نوعیة السطوح المنعمھ بطریقة االحتكاك المغناطیسي على عینات لوحیھ من البراص المعروفھ بكونھا تحتاج .التنعیم لمثل ھذا النوع من المعادن من كلف تشغلیھ ومھاره عالیھ وضروف تشغیلیھ خاصھمتطلبات خاصھ في عملیات بین القطب تم اختیار مجموعھ من المعایر المؤثره على ضروف التشغیل لمثل ھذا النوع من التنعیم والذي یتم عن طریق وضع مادة ابریھ لتملى الفراغ اذ تعتبر ھذة الفجوة من المعایر الحساسھ في ھذا النوع من التشغیل فضال عن شدة التیار المستخدم ، مراد تشغیلھا المغناطیسي الدوار للماكنھ وبین العینھ ال .لتولید الحث المغناطیسي وكمیة المادة االبریھ المستخدمھ وسرعة دوران القطب المغناطیسي الحامل لمادة التنعیم على تولیفة مثلى من المعایر ضمن تشكیلة المعایر المستخدمھ في الحالھ العملیھ ووصل االنتفاع الى تم االنتفاع من اسلوب العصیبات المضببھ للحصول % .٢.٠٢٢٢تولیفة مقاربھ للتجارب العملیھ بنسبة خطا الكلفھ التي التحتمل اجراء وان التولیفھ قابلة للتغیر بمعایر مختلفة دون الرجوع الى التطبیق العملي مما یوفر الوقت والمجھود خاصھ للمعادن العالیھ .التجارب العملیھ دون التاكد من صحة المعطیات mailto:amermoosa@kecbu.uobaghdad.edu.iq <4d6963726f736f667420576f7264202d20cce4c7e420cfceede120e6d3cdd120e6dac8cf20c7e1e1d8eddd3134312d20313438> al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 3, september , (2018) p.p. 141148 performance augmenting of a vertical axis wind turbine using adaptable convergent ducting system abdullateef a. jadallah** sahar r. farag *** jinan d. hamdi*** *,**,***department of electromechanical engineering / university of technology / iraq *email: abdullateef.aljad@gmail.com **email: dr saharalsakini@yahoo.com ***email: jenanjenan780@yahoo.com (received 29 september 2017; accepted 19 march 2018) https://doi.org/10.22153/kej.2018.03.003 abstract developments are carried out to enhance the performance of vertical axis wind turbines (vawt). this paper studies the performance of the ducted wind turbine with convergent duct (dawt). basically, the duct technique is utilized to provide the desired wind velocity facing the turbine. methodology was developed to estimate the decisive performance parameter and to present the effect of the convergent duct with different inlet angles. the ducted wind turbine was analyzed and simulated using matlab software and numerically using ansys-fluent 17.2. result of both approaches were presented and showed good closeness for the two cases of covering angles 12° and 20°, respectively. results also showed that the convergent duct with an inlet angle 12° and 20° improved the coefficient of performance at a specified tip speed ratio by 25.8% and 33.33% respectively in the productivity of wind turbine. keywords: coefficient of performance, dawt, matlab, vawt, wind turbine. 1. introduction the development of renewable energy has become one of the most important goals due to global warming and the high consumption of energy, in addition to the fossil fuel waste and its impact on the environment in order to deal with these problems by resorting to alternative means of obtaining energy. wind energy has become one of the fastest growing sources of energy. in recent years [1]. there have been many attempts to improve the performance of wind turbines and wolves by adding a tunnel to the torpedo called the shroud [2]. grant and kelly [3] developed and tested a mathematical model of a ducted wind turbine and described the integrations of the turbine according to various domain of building simulation. the study was investigated the concept of ducted wind turbine, and the integration of the wind turbine model mounted inside the building using the simulation tools. abdullateef et al. [4] designed and fabricated vertical axis wind turbine (vawt) are revealed in this work. six different geometries of the vawt rotors were designed and manufactured. these geometries are: two straight bladed (2hb) vawt, three straight bladed (3hb) vawt, savonius rotor (si), savonius rotor (sii), savonius rotor (siii) and savonius rotor (siiii). they compared their results with an adopted methodology and attained reasonable agreement. a number of researches have been interested in studying this concept [5-8]. performance of wind turbine can be improved just in case of good alignment between the channel and the wind, and the flow is no so gusty. deterioration and other phenomena related to the wind turbine is demonstrated by s ّ◌rensen [9], where various, models to portend aerodynamic forces, design of rotor-blade airfoils, analysis of wind ranch, and wind turbine wake simulations, are also considered. one of the most important issue with abdullateef a. jadallah al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 141148 (2018) 142 duct wind turbines is the bulk of the wake, which can give rise to wake interference, which can cause fatigue loading of down wind turbines and also reduce the efficiency of wind farms. these are some of the reasons why wind turbine wake structure has been studied extensively [10-11]. turbines built up inside small enshroud entries are also used to transfer power to the sensing system in ducts and pipes as shown in howey et al. [12]. hansen et al. suggested that the augmentation is limited to the relative speed-up under zero thrust. based on inviscid 1d analysis of pressure variation through the duct [13]. the convergent duct system is considered in this paper and a comparative performance has been carried out on the convergent ducted turbine and the traditional turbine. the convergent duct turbine has the ability to accelerate the air flow through a converging intake and increasing the power that can be extracted from the air flow. 2. design of the convergent ducting system wind turbine the flow is assumed to be one dimensional steady and incompressible thus, flow the one dimension of governing equations are: � �� ��� = 0 … �1 v �� �� + � � �� �� = 0… … �2 it will be noted that because the flow variables depend only on x in steady flow, these equations do not involve partial derivatives. analytical solutions to equations 1 and 2 are easily obtained purpose here is not, therefore, to imply that it is necessary to solve this set of equations numerically. it is simply to illustrate some of the consideration that are involved in obtaining numerical solution to the equations governing incompressible fluid flows. the iterative finite– difference procedure used for the designed duct is shown in figure (1) [14]. this domain is divided into series of segment of length each of length ∆� thus: ∆� = � ��� … �3 where n is the number of grid points and l the length of the solution domain fig. 1. convergent duct system. area at each section may be calculated as: a�=��2(�� -��) ��� + (�� − �� �� � … �4 where �� = ���� + ∆�. the density is constant because the flow is incompressible so the velocity at each section may be calculated as: �= �� "�"� … �5 the pressure at point 2,,…n are then found using a first order finite difference approximation to eq.(2).using �� �� = �����$% &� …(6) �� �� = '� �'�$% &� …(7) the pressure is then calculated (� = (��� -�� � � ) − ��� …(8) applying this equation sequentially from points i= 2,…,n allows the values of (� at each of these points . power coefficient can be calculated from [15] *+,= *∗ / … �9 3. numerical analysis of the convergent duct wind turbine the flow inside the duct and over the vawt blade is solved numerically using ansysluent 2017.the following section include. 3.1 governing equations the dynamics of computational fluids include the differential governing equations and the nature of the flow which determines the possibility of the application for governing equations. mathematical representations of these equations can be used in a group or individually depending on the uses of the output desired. equation include the properties for any fluid which represent the conservation for mass and momentum. in such case, we are using abdullateef a. jadallah al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 141148 (2018) 143 with the equation of continuity with the application of the model k-ω .the continuity equation or maintaining the mass provided as follows: ∂ρ ∂t + ∂ρu ∂x + ∂ρu ∂y + ∂ρu ∂z = 0 … �10 momentum equation for incompressible flow is given below: ρ 9∂u:∂t + ∂u;u:∂x; < = − ∂ρ ∂x: + g: + μ ∂?u:∂x;x; = 0 … �11 3.2 geometry a 2d analysis for naca 0012 air foil is treated by ansys design. the convergent duct system for different geometry formed after create the geometry of airfoil. three airfoils are creating for bladed and separated by 120 ° . fig. 2. 2d geometries of convergent duct. 3.3 mesh generation solutions by using the numerical methods demand accurate meshing for the geometry. the quality for the mesh depending on the accuracy for the solution of the numerical. the precision of numerical solution depending on the mesh size. the smaller mesh size needed to produce more accuracy result. the reduction mesh size need more computer memory and processing time. fig. 3. 2d meshing of convergent duct. table 1, meshing characteristics. 3.4 boundary condition the performance inlet conditions and the design choices of the present study were set basing on experience. boundary condition for convergent duct wind turbine summarized in table (2). fig. 4. 2d boundary condition for ducting vertical axis wind turbine. table 2, boundary conduction statistics nodes 67582 elements 66704 mesh metric skewness min 2.4379e-005 max 0.67156 average 6.1832e-002 standard deviation 6.7663e-002 viscous model model k-omega k-omega sst model constants default inlet boundary condition type inlet velocity velocity magnitude(m/s) 10 reference frame absolute turbulent method specification ratio of intensity and viscosity out let boundary condition type pressure outlet gage pressure(pa) 101325 back flow direction specification method normal to boundary turbulent specification method magnitude normal to boundary abdullateef a. jadallah al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 141148 (2018) 144 3.5 turbulence in this study modeled sst (k-@ used for wall bounded turbulent flow around the vertical axis wind turbine the two equation of sst (k-@ turbulent model is: [16] a��b ac + ad�efbg a�f =ph�@i aj�klmnko pn pqfr a�f … �12 a��b ac + ad�efbg a�f = s tcp h ∗ �@? aj�klmuko pnpqfr a�f +2(1 v� �muw a�b a�f … �13 3.6 reference values chord length = 0.1 m reference length = radius of the rotor = 0.5 m. enthalpy = 0 jule /kg pressure = 101325 pa at the velocity inlet density = 1 kg/my temperature = 288.16 k 4. result and disscusion the convergent duct is firstly designed to attain the desired velocity at the inlet of turbine. the duct is converged by 12° and 20° angles. the velocity is increased by 47% and 50% respectively shown in figure (5). however, the static pressure decreases in both cases the benefit of enhanced velocity was achieved as shown in figure (6). the velocity contours show that velocity at the inlet duct equal 10 m/s, it increases gradually until the turbine entry as shown in figures (7&8). this increase in speed causes an increase in the rotation speed of turbine. this will increase the power and power coefficient of the wind turbine. figure (9) and (10) show the pressure contour pressure being to reduce at the convergent duct between the inlet duct and the out let of the duct. the maximum pressure at the inlet duct this gradually decreased toward the throttle. the high energy that can be obtained from the feathers is due to the height of the lifting coefficient, which is produced by the pressure differential on both sides of the wing. figure (11) show the power coefficient against tip speed ratio calculated by ansys. to describes how to use wind energy and convert it into turbine power through a factor called a performance factor. performance coefficient the wind turbine depends on the type of airfoil, the thickness of the blade and the reynold number. figure (12) reveals the power coefficient with tip speed ratio for different inlet angle 12° , 20 °. respectively. results showed that the larger the converging angle, the higher is the power coefficient cp at a certain range of tsr. this is because the increase in the velocity with increase the inlet angle of the duct system. the power coefficient enhanced at a tip speed ratio equal 1.5 for convergent duct when the converging angles 12° , 20 ° by 25.8%, 33.33% respectively. figure (13& 14) show a little difference in the power coefficient value between analytic and numerical solution this difference. this is due to the limitation in numerical solution and that 2d solution does not take into account secondary flow and vortex generated at tip. pressure and velocity distribution along 3d blade there for a good agreement is observed for all cases. 5. conclusions utilization of wind turbines with different configurations are facing the restriction of intermittent and low wind speed. ducted system; convergent, divergent and convergent divergent even with reflectors were employed to enhance the productivity of wind turbines. in this paper, a convergent duct with two converging angles are considered. it was concluded that, increasing the angle of convergence lead to enhance the productivity of the wind turbine regarding less to the drop-in pressure because of the dependency of power on the cubic wind speed. this privilege assist installing wind turbine system in converging gates of buildings and in manufactured adapted ducts and consequently alleviating the use of dawt systems in low wind speed regimes like iraq. fig. 5. velocity distribution along the different convergent duct . abdullateef a. jadallah al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 141148 (2018) 145 fig .6. pressure distribution along the different convergent duct . fig. 7. velocity distribution along the convergent duct inlet angle 12° . fig. 8. velocity distribution along convergent duct inlet angle 20° . fig. 9. pressure distribution along convergent duct inlet angle 12° . fig. 10. pressure distribution along convergent duct inlet angle 20° . fig. 11. power coefficient for convergent duct wind turbine with tip speed ratio. fig. 12. power coefficient for convergent duct wind turbine with tip speed ratio. fig. 13. power coefficient for convergent duct wind turbine with inlet angle 20° . abdullateef a. jadallah al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 141148 (2018) 146 fig. 14. power coefficient for convergent duct wind turbine with inlet angle 12° . greek letters ϕ duct angle [degree] ε turbulent dissipation rate[m? sy⁄ ] ρ air density [kg / m3] / tip speed ratio (tsr) ω the angular velocity [rad/sec] abbreviations cfd computational fluid dynamics si conventional savonius rotor sii first modified savonius rotor siii second modified savonius rotor vawt vertical axis wind turbine tsr tip speed ratio cvawt convergent vertical axis wind turbine con convergent duct 6. references [1] t. saravana kannan, saad a. mutasher utasher, y.h. kenny lau, "design and flow velocity simulation of diffuser augmented wind turbine using cfd "journal of engineering science and technology vol. 8, no. 4 (2013) 372 – 384 [2] r. a. kishore, t. coudron, and s. priya , "small-scale wind energy portable turbine (swept)", journal of wind engineering and industrial aerodynamics, vol . 116, 2013, 2131. [3] andy grant, nick kelly," the development of a ducted wind turbine simulation mode", energy systems research unit, university of strathclyde, scotland, pp. 407–414, 2003. [4] abdullateef a., dhari y. and hayder a.;” performance evaluation of the vertical axis wind turbine with various rotor geometries”; al-qadisiyah journal for engineering sciences, vol. 9; no. 4, 2016. [5] c.j. lawn," optimization of the power output from ducted turbines ", proceedings of the institution of mechanical engineers part ae power & energy, vol. 217, 2003, pp. 107e118. [6] m. shives, c. crawford; "developing an empirical model for ducted tidal turbine performance using numerical simulation results"; proc. inst. mech. eng. parta j. power energy226(1)(2012)112e125,http://dx.doi.org/ 10.1177/ 0957650911417958. issn 09576509. [7] b. kosasih, a. tondelli," experimental study of shrouded micro-wind turbine",procedia. eng. 49(2012)92e98, http://dx.doi.org/10.1016/j.proeng.2012.10.16.i ssn18777058. [8] s.a.h. jafari, b. kosasih;"flow analysis of shrouded small wind turbine with a simple frustum diffuser with computational fluid dynamics simulations"; j. wind eng. ind. aerodyn.125(2014)102e110,110, http://dx.doi.org/10.1016/j.jweia.2013.12.001. issn 01676105. [9] j.n. s ّ◌rensen,"aerodynamic aspects of wind energy conversion ", annu. rev. fluid mech. 43 (2011)427e448, http://dx.doi.org/10.1146/annurevfluid122109-160801.issn 0066-4189. [10] p. mycek, b. gaurier, g. germain, g. pinon, e. rivoalen," experimental study of the turbulence intensity effects on marine current turbines behavior part i: one single turbine",renew.energy66(2014)729e746,htt p://dx.doi.org/10.1016/j.renene.2013.12.036 .issn 09601481. [11] l.j. vermeer, j.n. s ّ◌rensen, a. crespo," wind turbine wake aerodynamics, prog", aerosp.sci.39(6e7)(2003)467e510,http://dx.d oi.org/10.1016/s03760421(03)00078-2. issn 03760421. notation a area [^?] cp power coefficients ct torque coefficients d1 inlet diameter of duct [m] d2 out let diameter of duct [m] k turbulent kinetic energy [^? _`a?⁄ ] l duct length [m] ( pressure (pa) r turbine radius [m] t time [sec] b free stream velocity [ m/sec] abdullateef a. jadallah al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 141148 (2018) 147 [12] d.a. howey, a. bansal, a.s. holmes," design and performance of a centimeter scale shrouded wind turbine for energy harvesting ", smart mater. struct. 20 (8) (2011), http://dx.doi.org/10.1088/09641726/20/8/085021. issn0964e1726. [13] hansen, m.o.l., s ّ◌rensen, n.n., flay, r.g.j., 2000, "effect of placing a diffuser around a wind turbine ", wind energy 3, 207–213, [14] [14] patrick h. oosthuizen , william e. carscallen, " introduction to compressible fluid flow, second edition2nd edition , 2013, isbn-13: 978-1439877913. [15] h. e. saber, e. m. attia, h. a. el gamal," analysis of straight bladed vertical axis wind turbine". international journal of engineering research & technology (ijert) issn: 2278-0181 ijertv4is070453 www.ijert.org (this work is licensed under a creative commons attribution 4.0 international license.) vol. 4 issue 07, july-2015 [16] launder b. e. and spalding d. b.," lectures in mathematical models of turbulence", academic press, london, england. 1972. )2018(141-148 ، صفحة3، العدد14دجلة الخوارزمي الهندسية المجلم جاد عبد اللطيف احمد 148 بيتعزيز أداء التوربين الريحي عمودي محور االدارة باستخدام منظومة معبر هواء تقار ***جنان دخيل حمدي **سحر راضي فرج *عبد اللطيف أحمد جاد هللا العراققسم الهندسة الكهروميكانيكية /الجامعة التكنولوجية / بغداد / *،**،*** abdullateef.aljad@gmail.com*البريد االلكتروني: dr saharalsakini@yahoo.com*البريد االلكتروني: jenanjenan780@yahoo.com :البريد االلكتروني*** الخالصة استخدام أجريت دراسات عديدة لتحسين اداء التوربين الريحي العمودي. تناول هذا البحث دراسة تحسين اداء التوربين الريحي عمودي محور االدارة ب لتمكين حساب معامل القدرة والعزم والمتغيرات الحاكمة االخرى ansys 17.2معبر هوائي تقاربي. تم تطويع منهجية رياضية تحليلية وعددية باستخدام %٣٣٫٣٣و %٢٥٫٨ان استخدام المعبر بالزاويتين المذكورتين آنفا حقق زيادة في معامل القدرة بواقع . ه ٢٠و ه ١٢باستخدام زاويتين لمعبر الهواء وبواقع ن الحل العددي ومقارنته بنتائج الحل التحليلي واظرهت تطابقا جيدا.على التوالي. تم تمثيل تصرف الجريان وحساب معامل القدرة م <4d6963726f736f667420576f7264202d20dae3c7cf20e6dac8c7d320e6c7cdd3c7e4203131382d313237> al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 1, march, (2018) p.p. 118-127 study the effect of welding heat input on the microstructure, hardness, and impact toughness of aisi 1015 steel emad kh. hamd* abbas sh. alwan** ihsan khalaf irthiea*** *,*** engineering college/ university of anbar/ iraq ** agriculture college/ university of baghdad/ iraq emkh7676@gmail.com*email: drabbasshalwan@gmail.com**email: ***email: ih77san@yahoo.co.uk (received 17 may 2017; accepted 31 august 2017) https://doi.org/10.22153/kej.2018.08.005 abstract in the present study, mig welding is carried out on low carbon steel type (aisi 1015) by using electrode er308l of 1.5mm diameter with direct current straight polarity (dcsp). the joint geometry is of a single v-butt joint with one pass welding stroke for different plate thicknesses of 6, 8, and 10 mm. in welding experiments, aisi 1015 plates with dimensions of 200×100mm and edge angle of 60o from both sides are utilized. in this work, three main parameters related to mig welding process are investigated, which are welding current, welding speed, heat input and plate thickness, and to achieve that three groups of plates are employed each one consists of three plates. the results indicate that increasing the weld heat input (through changing the current and voltage) leads to an increase in widmanstatten ferrite (wf), acicular ferrite (af) and polygonal ferrite (pf) in fz region, and a reduction in grain size. it is observed that the micro-hardness of welded aisi 1015 plate increases as the weld heat input decreases. as well as increasing the weld heat input results in an increase in the width of wm and haz and a reduction in the impact energy of the weld joint of aisi 1015 at wm region. also, it is noted the corrosion rate of weld joint increases with increase of icorr due to increasing in welding current (heat input), corrosion rate increased up to (0.126µm/yr.) with increasing of heat input up to (1.27 kj/mm). keywords: heat input, impact trength, mig welding, micro-hardness. 1. introduction numerous welding systems are utilized to create fabricated assemblies that may not seem to incorporate welding by any means. welding additionally has key applications for the repair of basic structural assemblies. welding procedures are advantageously separated into two classes: fusion welding and solid state welding [1]. the high temperature associated to fusion welding may cause entrapping some oxides in the weld metal and this action in turn degrade the mechanical properties and corrosion resistance of the weld joint. in all electric arc welding processes, a gaseous shield is therefore created around the weld zone to protect it from surrounding atmosphere [2-3]. it is found that the process key parameters of metal inert gas (mig) have a crucial influence on the quality, productivity and cost of welding joints [4-6]. mig welding process overcome the constraint of using small lengths of electrodes as in manual metal arc welding and overcomes the incapability of the submerged arc process to weld in a number of positions. it is not surprising, therefore, that the 50/50 level of the relative weights of weld metal deposited by manual metal arc and mig processes was reached in 1973 in the usa and in 1978 in europe [7]. emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 119 reverse polarity (positive electrode) is used for most mig welds. this arrangement offers more stable arc than the straight polarity arrangement, and faster welding speeds are possible. the latter results from electrons striking the consumable electrode (welding wire) which is more rapidly melted and deposited into the joint area. moreover, as mig welding includes the transfer of metal droplets from the electrode to the base metal, relatively deeper penetration is acquired with reverse polarity. if straight polarity is used, the large positive ions travelling toward the electrode tend to support the metal droplets, which results in shallow weld penetration. conversely, the metal droplets are subjected to a significant downward force by the large positive ions when reverse polarity is used, which results in greater depth penetration [1]. this work presents an experimental investigation on the effect of some mig process parameters such as weld heat input, weld current and weld speed on the microstructure (grain size), microhardness, and impact resistance of mig weldment. 2. experimental work 2.1. materials in the current work plates of low carbon steel (aisi-1015) are used as base metal for the welding processes. the experimental chemical composition of the material and the standard composition of aisi-or sae 1015 according to (swe) are shown in table 1. the standard mechanical properties of the aisi 1015 carbon steel are displayed in table 2. table 1, the chemical composition of low carbon steel table 2, the standard mechanical properties of the aisi-1015 [8] properties condition hf cf tensile strength (mpa) 324 365 yield strength (mpa) 179 303 elongation (in 2 in. %) 28 20 2.2. experiment procedure the plates of low carbon steel with dimensions of (200 mm long × 100 mm width, with different thicknesses were prepared by milling machine from both surfaces and vsingle butt joint is designed by machining the specimen to angle (60o) from both sides as shown in fig. 1. nine samples of weldments at different parameters were prepared as shown in table 3. plate thickness of specimens 7, 8 and 9 with thickness 6, 8 and 10mm respectively. metal inert gas welding (mig) process is executed using consumable electrode er308l austenitic stainless steel of diameter (1.5mm) conforms to certification: aws a5.9/asme sfa a5.9, it contains low carbon content and this help to prevent the intergranular corrosion. mig welding machine used in this work was type (esab), ideal arc dc-600-lincoln companysweden. mig welding is carried out with one pass, and an electrode er308l of diameter (1.5mm). a stop watch was used to record the welding time. all samples for microstructure prepared after cutting and sic emery paper of grade 120, 320, 500, 1000, and 1200. slurry of al2o3 particles of size of 5µm were used for polishing process, with a special cloth. etching process was carried out using nital solution consisting of 2% nitric acid (hno3) and 98% of alcohol. the optical microscopy type rgh, with digital camera connected to the computer at magnification ×200 is used for microstructure examination. j-image software and linear intercept method are used to measure the average grain size. the heat input (kj/mm) is calculated by equation: (q=η× (vi/v) (η=0.7) …(1) element c% si% mn% p% s% cr% measured wt.% 0.148 0.065 0.537 0.016 0.004 0.0033 mo% ni% al% cu% fe% ˂0.002 0.055 0.054 0.071 bal. standard aisi 1015 [8] c% mn% p. max% s. max% fe% 0.13-018 0.3-0.6 0.04 0.05 bal. emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 120 microhardness test by using digital microhardness tester type (qv-100-qualitest company-japan). microhardness traverses 1mm (the distance between two readings), were produced across the weld regions using a 1000g load and a 10sec dwell time. to conduct the impact test, firstly test piece is prepared based on standard astm a370, (the standard specimen size for charpy impact testing is (10mm×10 mm×55 mm). the energy toughness values are recorded to evaluate the effect of heat input on the impact strength of weldments as shown in table 4. fig. 1. single v-joint design of plate. table 3, experimental welding conditions of mig welding. table 4, welding parameters of weldments for impact test. 3. results 3.1. effect of weld speed on microstructure increasing welding speed results in decreasing heat input as shown in fig. 2. the effect of heat input is to decrease grain size of weld metal (wm) and heat affected zone (haz), but no effect on grain size of base metal. increasing of welding speed (decreasing of heat input) cause a little decrease of ferrite grain size about 11% as a decreasing percentage as shown in table 5, due to increasing the cooling rate. the microstructure of weld metal (fz) is consisting mainly of acicular ferrite (af), widmanstatten ferrite (wf) and polygonal ferrite (pf), and refine with increase the welding speed (decrease heat input) as shown in figs. 3, 4 and 5. also, the microstructure of haz grains are also refined with decreasing heat input. from table 5, the grain boundary is also affected by cooling rates (heat input) which depend on welding parameters such as welding current and speed. when increase the welding speed leads to a slight decrease in grain size in fz and haz, but the grain size of bm has not affected. grain refinement is resulted at lower heat input (faster cooling rate).this is in agreement with the reference [9]. variables specimen 172.413 speed welding (v) (mm/min) 1 150.37 2 100 3 180 current welding (i) (ampere) 4 190 5 210 6 6 plate thickness (t) (mm) 7 8 8 10 9 specimen code. plate thickness (mm) welding current (amp) welding voltage (volt) welding speed (mm/min) heat input (kj/mm) a 10 220 20.7 150.37 1.2719 b 10 240 21.7 150.37 1.4546 c 10 260 23 150.37 1.6702 emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 121 table 5, calculation result of heat input and grain size with different welding conditions. width (mm) grain size (µm) heat input (kj/mm) specimen haz fz bm haz fz 4 4 20.19 17 16.85 0.826 1 3.5 4.5 17.82 17 0.945 2 3.5 5 18.85 18.94 1.428 3 3.5 4 12 11.77 0.763 4 4 4.5 13.47 14.27 0.805 5 5 5 17.24 20.6 0.889 6 2 3 11.2 10.68 1.2719 7 3 3.5 12.7 12.44 1.6408 8 3.5 4 12.3 14.77 2.5116 9 fig. 2. the relationship between heat input and welding speed at 170 amp and 20 volt. (a) fz (b) haz (c) bm fig. 3. microstructure of butt joint of specimen 1 at i: 170amp, v: 20volt, s: 172.413mm/min and heat input: 0.826 kj/mm, (×200). (a) fz (b) haz fig. 4. microstructure of butt joint of specimen 2 at i: 170amp, v: 20volt, s: 150.37mm/min and heat input: 0.945 kj/mm, (×200). wf pf af wf af pf emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 122 (a) fz (b) haz fig. 5. microstructure of butt joint of specimen 3 at i: 170amp, v: 20volt, s: 100mm/min and heat input: 1.428 kj/mm, (×200). 3.2. effect of weld current on microstructure it is observed that the heat input increases with the welding current as shown in fig. 6. a columnar grain was course as seen in the weld metal (fusion zone). therefore, an increase in the welding current leads to increase grain size as shown in table 5. an increase in welding current effect on increase of the grain size in both fz and haz regions. this variation in grain size due to the effect of cooling rates. the microstructure of fusion zone consists of fine acicular ferrite (af), widmanstatten ferrite (wf) and some inclusions as shown in figs. 7 and 8. the size of haz region grains increases with increasing welding current (increase heat input) as illustrated in table 5. the increase in welding current causes the heat generated to increase resulting the polygonal ferrite grains in fz to recrystallized and grow as presented in fig. 9. fig. 6. the relationship between heat input and welding current at welding speed 200mm/min, and welding voltage 20.2volt. (a) fz (b) haz fig. 7. microstructure of butt joint of specimen 4 at i: 180amp, v: 20.2volt, s: 200mm/min and heat input 0.763 kj/mm, (×200). wf af wf af inclusion emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 123 (a) fz (b) haz fig. 8. microstructure of butt joint of specimen 5 at i: 190amp, v: 20.2volt, s: 200mm/min and heat input 0.805 kj/mm, (×200). (a) fz (b) haz fig. 9. microstructure of butt joint of specimen 6 at i: 210amp, v: 20.2volt, s: 200mm/min and heat input 0.889 kj/mm, (×200). 3.3. effect of weld speed on microhardness concerning the effect of welding speed on microhardness at welding current 170amp and welding voltage 20.2v, the microhardness distribution in different zones; weld zone (fz), heat affected zone (haz) and base metal (bz) is shown in fig. 10. the microhardness values of 166.6231 hv are observed at location within 1 mm from the base metal, through the haz across the weld metal. from the figure, it can be seen that the microhardness values increase with increasing welding speed. this is attributed to increase the cooling rate and decrease the grain size. this is in agreement with hardness results of zhang and roy [9]. besides, the maximum microhardness of wm is 201, 212 and 231 hv with welding speed 100, 150.37 and 172.413 mm/min, respectively. width of fz and haz regions, were affected by heat input with various welding speeds. table 5 shows the increase of width of fz and the decrease of width of heat affected zone haz with the decrease of welding speed. 3.4 effect of weld current on microhardness concerning the effect of welding current on microhardness at welding speed 200 mm/min and welding voltage 20.2 volt, the microhardness distribution in different zones; weld zone (fz), heat affected zone (haz) and base metal (bz) is shown in fig. 11. the microhardness values of 166.6-247 hv are observed at location within 1 mm from the base metal, through the haz across the weld metal. these hardness results are partially in good agreement with literature. güral, et al. [15], have found that maximum hardness values are measured in the area of weld metal (fz). nevertheless, in the present work, the maximum hardness is both in weld metal (fz) and heataffected zone (haz). the variation in properties across the weld can be attributed to several issues, essentially to residual stresses just created after welding. welding current is the most significant factor, which effected on the microhardness. the hardness decreases with increasing the welding current (heat input) which increases the width of wm and haz regions as shown in fig. 11 and table 5. this is due to the decrease of cooling rates when increasing welding current and this effect turns to decrease in the microhardness of the welded joint. this is as result of increasing of the grain size i.e. coarser grain in haz region. the microhardness reaches maximum value 203hv at the middle of weld metal fz and drops gradually to the base metal 166.6hv. pores inclusion emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 124 3.5 effect of plate-thick on microhardness plate thickness plays the essential role in the effects on microhardness. fig. 12 shows the microhardness distribution in different zones; weld zone (fz), heat affected zone (haz) and base metal (bm) at different welding current and welding voltage. the microhardness values of 167 253 hv in fig. 12 are observed at location within 1mm from the base metal, through the haz across the weld metal. it is observed that the microhardness values decrease as plate thickness increases because of drop in the cooling rate and the increase in grain size of wm and haz. the peak microhardness value is 219, 212 and 208hv in haz region, respectively with increase of thickness. in addition, the width of haz is affected by plate thickness, where bigger haz width about 3.5mm was obtained at thickness (10mm), this is attributed to higher weld heat input; slower cooling rate [17], as compared with other plates. width of fz and haz regions, were observed table 5, it shows an increase of width of fz and heat-affected zone haz with the increase of plate thickness. 3.6. effect of heat input on impact resistance to evaluate the effect of heat input developed during the mig welding at different parameters, on the impact strength, a set of three specimens is selected and the results of absorbed energy that obtained from the testing machine were tabulated in table 6. in this table, it can see that an increase in heat input leads to drop in cooling rate [18] and it gives an effect of decreasing the impact strength within this value of current as shown in fig. 13. from the experiments, it is shown that for the range of current 220-260ampere, the impact strength of the weld and heat affected zone of the weld joint reduces. as a result, the higher heat input, the lower impact toughness value, this in agreement with literature [19]. fig. 10. effect of welding speeds on microhardness at welding current 170 amp and welding voltage 20v. fig. 11. effect of welding current on microhardness at welding speed 200mm/min and welding voltage 20.2volt. fig. 12. effect of plate thickness on microhardness at different welding current and welding voltage. emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 125 table 6, impact test results with plate thickness 10mm at welding currents (220, 240 and 260 ampere). specimen code. heat input (kj/mm) impact energy (j) a 1.2719 61.74 b 1.4546 54.4 c 1.6702 49.17 fig. 13. the relationship between impact energy and heat input at different welding parameters. 4. conclusions 1. it is found that formation of phases; acicular ferrites (af), widmanstatten ferrites (wf) and polygonal ferrites (pf) in weld metal (wm) are affected by weld heat input. 2. increasing welding current leads to increment in the heat input, this leads to a reduction in cooling rate, then increases the grain size of weld metal (wm) and heat affected zone (haz) and decreases the microhardness of the welded joint. 3. increasing the welding speed, decreases the heat input (i.e. increases the cooling rate) which leads to increase the microhardness in wm and haz regions, decreases grain size in wm and haz regions.. 4. increasing plate thickness leads to increase the heat input and reducing the cooling rate, this leads to increase the grain size of wm and haz regions and decrease in the microhardness values. 5. impact strength of the weld metal and heat affected zone haz of the weld joint reduces with increasing of heat input. 5. notation q heat input (j/mm) i welding current (ampere) v welding voltage (volt) s welding speed (mm/min) n order of diffraction d inter planer spacing distance (ao) icorr corrosion current (μa/cm2) ecorr corrosion potential (mv) c.r corrosion rate (mm/year) w equivalent weight (grams) r2 coefficient of determination fz fusion zone haz heat affected zone wm weld metal bm base metal af acicular ferrite wf widmanstatten ferrite pf polygonal ferrite mig metal inert gas welding mmaw manual metal arc welding aws american welding society ms martensite start mf martensite finish cf cold finishing hf hot rolled greek letters η welding efficiency (℅) λ wave length (ao) θ diffraction angle (degree) ρ density (g/cm3) 5. references [1] the procedure handbook of arc welding, 14th edition, the james f. lincoln arc welding, 2000. [2] gourd lm, principles of welding technology, 3rd edition. edward arnold, 1995. [3] j. beddoes & m. j. bibby, “principles of metal manufacturing processes”, carleton university, canada, 1999. [4] j. puchaicela, “control of distortion of welded steel structures”, welding journal, pp.49-52, 1998. [5] kim is, sona js, kim ig, kim jy and kim os., “a study on relationship between process variables and bead penetration for robotic co2 arc welding”, j. mater. process. technol. 136, pp. 139–145, 2003. emad kh. hamd al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 118127 (2018) 126 [6] han guoming, yun shaohui, cao xinhua, li junyue, “acquisition and pattern recognition of spectrum information of welding metal transfer”, j. mater. & design, 24, 699–703, 2003. [7] welding handbook volume 4, “metals and their weldability”, american welding society (asm), seventh. [8] rechard s.sabo,"the procedure handbook of arc welding ", the lincolin electric company, cleveland, ohio44117, australia, 1999. [9] zhang. w. and g.g.roy, "modeling of heat transfer and fluid flow during gas tungsten arc spot welding of low carbon steel", journal of applied physics, march , , vol. 93, no. 5, 2003. [10] ueji, r., fujii, h., cui, l., nishiokioka, a., kunishige, k. and nogi, k., “friction stir welding of ultrafine grained plain lowcarbon steel formed by the martensite process”, materials science and engineering: a, 423, 324330, 2006. http://dx.doi.org/10.1016/j.msea.2006.02.038 [11] easterling, k.e., “modeling the weld thermal cycle and transformation behavior in the heat affected zone”, in: cerjak, h. and easterling, k.e., eds., mathematical modeling of weld phenomenon, the institute of materials, 1998. [12] marashi, p., pouranvari, m., amirabdollahian, s. and abedi, g., “microstructure and failure behavior of dissimilar metal spot welds between low carbon steel, galvanized and austenistic stainless steels. materials science and engineering: a, 420, pp. 175-180, 2008. http://dx.doi.org/10.1016/j.msea.2007.07.00 7 [13] g. r. stewart, a. m. elwazri, r. varano, n. pokuty-lowicz, s. yue and j. j. jonas, “shear punch testing of welded pipeline steel,” materials science and engineering a, vol. 420, no. 1-2, , pp. 115-121, 2006. [14] s. lars-eric, “control of microstructures and properties in steel arc welds,” library of congress catalog-ing-in-published data, british, 1994. [15] a. güral, b. bostan and a. t. özdemir, “heat treatment in two phase region and its effect on welding of a low carbon steel,” materials and design, vol.28, no. 3, pp. 897903, 2007. [16] gery, h., long, p. and maropoulos, e., “effects of welding speed, energy input and heat source distribution on temperature variations in butt joint welding”, journal of material processing technology, 167, pp 393401, 2005. http://dx.doi.org/10.1016/j.jmatprotec.2005.06 .018 [17] david s.a, s.s.babu, & j.m.vitek,"welding solidification and microstructure", oak ridge national laboratory, vol. 32, no. 3, 2003. [18] odd m.akselsen, ragnhild and vigdis olden," effect of phase transformations on residual stresses in welding of stainless steel", international journal of offshore and polar engineering (issn 1053-5381), vol. 17, no. 2, pp. 145–151, 2007. [19] wan shaiful hasrizam wan muda, nurul syahida mohd nasir, sarizam mamat and saifulnizan jamian, "effect of welding heat input on microstructure and mechanical properties at coarse grain heat affected zone of abs grade a steel", arpn journal of engineering and applied sciences, vol. 10, no 20, pp. 94879495, 2015. )2018( 118-127، صفحة 1د، العد14دجلة الخوارزمي الهندسية المجلم عماد خميس حمد 127 لفوالذ متانة ال، الصالدة، وعلى البنية المجهريةتأثير الحرارة المتولدة اثناء اللحام دراسة aisi 1015 احسان خلف رثيع*** عباس شياع علوان** عماد خميس حمد* *،*** كلية الهندسة/جامعة االنبار الزراعة/جامعة بغداد** كلية emkh7676@gmail.com :البريد االلكتروني* drabbasshalwan@gmail.com:البريد االلكتروني** ih77san@yahoo.co.uk :البريد االلكتروني*** الخالصة ملم) ١٫٥باستخدام سلك لحام قطره ( (aisi 1015) في الدراسة التجريبية هذه، تم استخدام اللحام الغازي المعدني الخامل للحام فوالذ منخفض الكربون بتمريرة (v) والقطبية المطبقة قطبية مباشرة ذات تيار مباشر من قطب اللحام الى الوصلة، وتم لحام وصلة تناكبية على شكل الحرف (er308l) نوعه ملم) ١٠٠× ملم ٢٠٠صفائح من الفوالذ الكربوني ذات ابعاد ( ملم). تضمن الجانب العملي لهذه الدراسة، تحضير ١٠و ٨، ٦واحدة عند اسماك مختلفة ( ) من كال جانبي وصلة اللحام، تم لحام وصالت اللحام المعدة عند متغيرات مختلفة وهي: تيار اللحام، سرعة اللحام والحرارة ٦٠oوحواف ذات زاوية ( ات كل منها يضم ثالث عينات.المتولدة وسمك وصلة اللحام. تم اجراء اللحام لثالث مجاميع من العين جوانب في منطقة النتائج بينت ان الزيادة في الحرارة المتولدة اثناء اللحام تعمل على زيادة بنية فرايت فيدمنشتاتن والفرايت االبري وفرايت متعدد ال ضا لوحظ زيادة الصالدة المايكروية مع نقصان الحرارة اللحام االنصهاري، ونقصان الحجم الحبيبي نتيجة معدل التبريد السريع (حرارة متولدة اقل). وأي لصدمة لوصلة الفوالذ المتولدة اثناء اللحام، وزيادة في عرض منطقة اللحام والمنطقة المتأثرة بالحرارة مع زيادة الحرارة المتولدة اثناء اللحام. مقاومة ا جول) نتجت عند اعلى حرارة ٤٩٫١٧تولدة اثناء اللحام، حيث ان اقل طاقة صدمة (الكربوني منخفض الكربون في منطقة اللحام تقل بزيادة الحرارة الم كيلوجول/ملم). ٢٫٣٨٦متولدة ( ً ان معدل التآكل لوصلة اللحام يزداد بزيادة تيار التآكل نتيجة الزيادة الحاصلة في تيار اللحام (زيادة الحرارة المتولدة) ، بمعنى آخر فأن لوحظ ايضا لوصلة اللحام تقل بزيادة كمية الحرارة المتولدة اثناء عملية اللحام. مقاومة التآكل <4d6963726f736f667420576f7264202d20ddc7d6e120e6c7dfd1e320e6d5c7c8d1ede439392d313037> physical and morphological properties of hardsoft ferrite functionally graded materials fadhi chyad* akram jabur** sabreen abed*** *, **,***department of materials engineering/university of technology/ iraq *email: fchyad_2009@yahoo.de **email: akram.jabut@gmail.com ***email:sabreenali217@gmail.com (received 20 december 2016; accepted 31 october 2017) https://doi.org/10.22153/kej.2018.10.007 abstract functionally graded materials (fgms), with ceramic –ceramic constituents are fabricated using powder technology techniques. in this work three different sets of fgms samples were designed in to 3 layers, 5 layers and 7 layers. the ceramic constituents were represented by hard ferrite (barium ferrite) and soft ferrite (lithium ferrite). all samples sintered at constant temperature at 1100oc for 2 hrs. and characterized by fesem. some physical properties were measured for fabricated fgms include apparent density, bulk density, porosity, shrinkage and hardness. the results indicated that the density increase with the increase the number of layer. lateral shrinkage is one of the important parameter for estimating the quality of component gradation in an fgm structure. the vickers hardness show higher value at fgm7, finally the fesem images showed a gradation in microstructure within the system from platelike structure for the hard ferrite to spherical structure for the soft ferrite. keywords: functionally graded materials; physical properties of fgm; ceramic; hard ferrite; soft ferrite. 1. introduction in the previous couple of years, the usage of ceramic materials has amazingly expanded in various applications in view of the particular properties of these materials in examination with metals and polymers. the gainful qualities of ceramic materials are hardness, inflexibility, grating durability and low thickness. ceramics are a sort of materials by and large characterized as "inorganic, nonmetallic solids". they have the colossal degree of motivation behind every single known material. the most recent decades have seen the advancement of the tremendous capability of practical earthenware production in light of interesting dielectric, ferroelectric, piezoelectric, pyro-electric, ferromagnetic, magneto-resistive, ionical, electronical, superconducting, electrooptical, and gas-detecting properties. similar logical extensions additionally have occurred in auxiliary ceramic. thermal, chemical, and mechanical steadiness of numerous oxide and nonoxide mixes have put the reason for improved handling, which prompted an upgraded level of microstructure outline and flaw control. this has progressively directed in at no other time seen improvements in mechanical conduct and in the precision of the properties of parts and devices [1]. ferrites are categorized mainly into three sets with various crystal types. they are spinel, garnets and magneto-plumbite. spinel ferrites have a cubic structure with general equation mo fe2o3, where m is a divalent metal particle, similar to mn, ni, fe, co, mg, and so forth. garnets have a complex cubic structure having a general equation m3fe5o12. the third sort, magneto-plumbite, has a hexagonal structure with general recipe mo. fe12o18. the most critical in the arrangement of magneto plumbite is barium ferrite bao fe12o18, which is a hard ferrite [2]. the quick advancement of new al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 1, march, (2018) p.p. 99-107 fadhi chyad al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 99107 (2018) 100 high innovation requests an ever increasing number of new materials with various uncommon attributes or capacities. under some serious boundaries, for example, super high temperature, conventional materials may not serve. another material idea, practically evaluated materials (fgms), has been proposed to meet the prerequisite which typically incorporate diverse material constituents, for example, ceramic and metal. fgms have received significant attention in many engineering applications since they were first outlined in 1980s. they are composite materials, microscopically inhomogeneous, in which the mechanical properties change smoothly and continuously from one surface to the other. compared with classical laminated composite materials, fgms supply outstanding thermo-mechanical performances under given loading conditions. fgms can be utilized to enhance creep behavior, fracture toughness of machine tools, wear resistance, oxidation resistance of high temperature aerospace and automotive components and so on .[3] (jaworska, et.al.2006) studied functionally graded cermets. materials were acquired using free sintering at vacuum and the high temperature-high weight sintering system. practically evaluated cermets have greater amount of hard stage in the surface layer and lower cooperation of this stage in the body outline. fgms were set up by the layers pressing operation and the diffusive statement operation. material with 55 wt.% of tic and 45 wt.% of (ni,mo) was incorporated. the stage's structure of this material was analyzed. (shabana,et.al.2006) modeling the development of stress because of differential shrinkage in powderprocessed functionally graded metal–ceramic composites during pressureless sintering. this model can be used to decide helpful shrinkage rates and slope structures for a given segment geometry that will restrict the part from breaking amid pressureless sintering by adjusting the advancement of quality, which should be a power law capacity of the porosity, with the improvement of stress. to estimate this model, the powder blend is evaluated as a three-stage material including voids, metal particles, and artistic particles. a micromechanical thermal elastic– viscoplastic constitutive model is then proposed to show the thermomechanical conduct of the composite microstructure. (shahrjerdi,et.al.2011), demonstrated the functionally graded metal-ceramic composite synthisized through weight less sintering. the unadulterated metallic and ceramic parts are titanium (ti) and hydroxyapatite (ha), which were situated at the finishes of a round and hollow example. fg tests are set up with blending extents of 100:0, 75:25, 50:50, 25:75, 0:100. the barrel shaped specimens had a thickness of 6 mm in size and 20 mm span. tests are manufactured by utilizing carbon cylindrical die. the ideal thermal load mapping is picked up tentatively. the properties of all fgm items are portrayed by shrinkage, optical magnifying instrument, filtering electron magnifying instrument (sem), vitality dispersive spectrometry (edx) and hardness test. (mahamood,et.al.2012), proposed an overview of synthesizing method , field of application, some new research studies the need to concentrate more research attempt on improving the most promising fgm synthesizing method (solid free form sff). improving the performance of sff processes and extensive studies on material characterization on components produced will go a long way in lower the manufacturing cost of fgm and increase productivity in this respect. (mustapha, et.al.2013), suggested an extensive review on the various synthesizing methods of fgms composed by metallic and ceramic phases. synthesizing methods in this field of work have comprising many concepts from various background of gradation methods and consolidation or sintering methods (yu, et.al.2013) suggested micromechanics display represents multi-stage heterogeneity and discretionary number of layers. the impact of geometries and unmistakable flexible material properties of every constituent and voids on the viable versatile properties of fgm is examined. numerical cases of different practically reviewed materials are introduced. the predicted elastic properties resulted from the present model work in well with experimental results from the literature. (fadhil, et.al.2017) studied dielectric and magnetic properties of nanoferrite functionally graded materials with ceramic –ceramic constituents are fabricated using powder technology techniques. in this work three different sets of fgms sample were designed in to 3 layers, 5 layers and 7 layers. the ceramic constituents were represented by hard ferrite (barium ferrite) and soft ferrite (lithium ferrite). all samples sintered at constant temperature at 1100oc for 2 hr. the magnetic properties showed an increase in coercive force (hc) with increased number of layers. the dielectric properties measured at room temperature with constant frequency 1 mhz. the results showed the dielectric constant increase with the increase the number of layers from (1.39×10-2) to (2.83×10-2). according to the above literature reviewing, it's clear that the fabrication of hard ferrite\lithium ferrite functionally graded materials is a very new fadhi chyad al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 99107 (2018) 101 area for investigation that based on using graded ceramic materials. the aim of this work is fabrication a functionally graded materials (fgms) from hard ferrite and soft ferrite materials in three different set of multiples layers and then studying the physical and morphological properties of the system. 2. experimental procedure 2.1. starting materials nano barium ferrite ( bafe12o19) , nano lithium ferrite (life5o8). 2.2. preparation of hard/ soft functionally graded material the start material used to fabricate fgm sample were nano barium ferrite and nano lithium ferrite, are weighted in the proportions as shown in table (1). the formation of a discrete layered graded structure at first requires mixing of the base materials to appropriate composite powder composition. the fgm structure consists of the two base materials on either end of the specimen, with the desired compositional gradient layered between the two as shown in fig. (1). the fgm system are composed of (3, 5, and 7) layers with thickness (4.5, 8, and 12) mm, respectively. the weight of fgm layer will measured by sensitive balance , the constituents powder were arranged according to the volume fraction of layer starting from lithium ferrite to barium ferrite as mentioned in table (1), after that compacting practice were done under 20000 mpa load pressure. each sample was subjected to sintering under temperature of 1100oc for 2 hr. the sintering heating cycle including a slow heating rate with 5 °c∕ min, (see fig. 2). all sintering practices were carried out by using electric furnace. fig. 1. sketch represents fgm system with 3 lay table1, fgm profil fig. 2. single heating cycle of the applied sintering process. 3. results and discussion 3.1 physical properties 3.1.1 density and porosity the (bulk and apparent) density for fgm sample are shown in fig. (3). porosity for fgm system was also shown in fig. (4). the variation of density between the different fgm sample with (3, 5, 7) layer which shown slightly an increase of density with the increase the number of layer; the reason behind such improvement is related to high densification, high homogeneity and good blending between the layer of fgms [7]. the 3 layer 5 layer 7 layer weight of lim(g) weight of bam(g) total thickness 100% lim 100% lim 100% lim 0.4 0 4mm 80% lim +20%bam 0.32 0.08 75% lim+25% bam 0.3 0.1 65%lim+35%bam 0.26 0.14 7mm 50%lim+50 %bam 50%lim+50%bam 50%lim+50%bam 0.2 0.2 35%lim+65%bam 0.14 0.26 11mm 25%lim+75%bam 25%lim+75%bam 0.1 0.3 100% bam 100% bam 100% bam 0 0.4 fadhi chyad al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 99107 (2018) 102 results of density of prepared fgm sample accompanied by almost slightly increase of porosity at constant sintering temperature. fig. 3. density results of fgm samples of (3, 5, 7) layers. fig. 4. porosity results of fgm samples of (3, 5, 7) layers. 3.1.2. lateral shrinkage lateral shrinkage is one of the important parameter for estimating the quality of component gradation in a fgm structure. figure (5) illustrates the effect of change of the percentages among the layers versus the number of layers of the sample sintered at 1100oc for 2 hours. shrinkage showed an increase in fgm7 as compared with fgm3 and fgm5. the linear shrinkage obtained was an appropriate indicator of the functionality of the design. fig. 5. lateral shrinkage of fgm samples of (3, 5, 7) layers. 3.1.3. micro hardness test microhardness test was carried out to study the gradient of the mechanical property along the fgms thickness. in spite of the fact that the phenomenon of hardness is in general is purely a surface property, which represents its resistance to indentation, but in numerous cases the value of surface hardness may be safely used to indication of the state of compactness and integrity of the bulk. the vickers micro hardness value of fgm sample (3, 5, and 7) layers after sintering practices is presented in figs. (6), (7) and (8) respectively. it is clear that as the barium ferrite percentage increased; the hardness is increased. (fgm 3) seems to give graded hardness properties. also it can be noted that the (fgm 7) layer 7 (100% bam) and layer 1 (100% lim) has the higher value of vickers hardness as compared with (fgm3) and (fgm5) due to increment of density and compacting load. fig. 6. vickers hardness values for fgm 3. fadhi chyad al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 99107 (2018) 103 fig. 7. vickers hardness values for fgm 5. fig. 8. vickers hardness values for fgm 7 3.2. fe-scanning electron microscopy (fesem) analysis field emission scanning electron microscope (fesem) is used to visualize the microstructure of functionally graded materials by scanning with high energy electron beams. fig. (9) shows the microstructure of the fabricated lim\bam fgms. it has three layers: the 1st layer (pure bam) plate like structure with the average size (150-350)nm plus few spherical structure of size (150-200)nm, the 2nd layer mixed both plate of size lightly larger (250400nm)average and spherical of size (400nm) while the 3rd layer (pure lim) is spherical structure of 500 nm average size , respectively. fig. (10) shows the microstructure of the fabricated lim\bam fgms. it has five layers: the 1st layer (pure bam) plate like structur with the average size (150-300) nm, 25lim&75bam, 50lim&50bam, 75lim&25bam (mixed both plate and spherical structure) with the average size (300,700,350) nm, respectively. the 5th layer (pure lim) spherical less porous dense structure with average size (400-1500) nm, respectively. fig. (11) shows the microstructure of the fabricated lim\bam fgms. it has seven layers: the 1st layer (pure bam) plate like structure with average size (250-350)nm,35 lim&65bam plate like thickness range (350-400)nm,50lim &50bam plate more thick (400)nm, 65lim &35 bam plate less thick (250)nm, 75lim & 25 bam nm spherical (250-1000)nm more dense less porous, 80 lim &20 bam spherical (350-1000)nm, the 7th layer (pure lim) spherical structure (more growth, spherical large, less porous), respectively. from the sem images of 3rd layer fgm3 fig.(8c), 5th layer of fgm5 fig.(9e) and 7th layer of fgm 7 fig.(10g) it can be seen the grain patterns exhibited totally sphericallike structure , a clear crystalline structure was also observed. also it can be seen a large growth in size at the 3rd , 5th and 7th layer because of the remaining of one phase and disappearances of the other which use to be suppress the growth at the other layer. in contrast, as shown in sem images of 1st layer fgm3 fig. (8a), 1st layer of fgm5 fig.(9a)and 1st layer of fgm7 fig.(10a) the grain morphology appear totally plate -like shape which is clearly indicated the formation of barium ferrite. barium hexaferrite nanoparticles with plate-like morphology is the best for the electromagnetic wave absorption application [9]. also for the composite layer sem images show the grain microstructure as a combination of spherical and plate like structure which is an evidence for the gradation in fgms samples and resulting in properties variation. fadhi chyad al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 99107 (2018) 104 (a) (b) (c) fig. 9. fe-sem of fgms sample with 3 layers: a) first layer, b) second layer and c) third layer. (a) (b) (c) (d) (e ) fig. 10. fe-sem of fgms sample with 5 layers: a) first layer, b) second layer, c) third layer, d) fourth layer and e) fifth layer. fadhi chyad al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 99107 (2018) 105 (a) (b) (c) (d) ( e) (f) (g) fig. 11. fe-sem of fgms sample with 7 layers: a) first layer, b) second layer, c) third layer, d) fourth layer and e) fifth layer, f) sixth layer and g) seventh layer. 4. conclusions functionally graded bam/lim specimens have been fabricated at three different set of layer (3, 5 and 7) by powder metallurgy. characterization of fabricated fgms was carried out by fesem which revealed gradation in microstructure from plate like structure (hard ferrite) to spherical structure (soft ferrite). the result of density indicate the high homogeneity and good blending between the layers of fgm led to increasing of density. the vickers hardness showed higher value at fgm7 layer 7. 5. references [1] feng shi, "ceramic materials progress in modern ceramics", in tech, pp.65-82, 2012. [2] sindhu s.," preparation and characterization of spinel ferritetheir incorporation in rubber fadhi chyad al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 99107 (2018) 106 matrix and evaluation of properties", department of physics cochin university of science and technology cochin, india, phd thesis, 2001. [3] m. tahani , m.a. torabizadeh and a. fereidoon,"nonlinear analysis of functionally graded materials" ,jamme, vol. 18 , pp.315318 ,2006. [4] l. jaworska , m. rozmus , b. królicka , a. twardowska ," functionally graded cermets", journal of achievements in materials and manufacturing engineering, vol.17,pp.73-76, 2006. [5] rasheedat m. mahamood, esther t. akinlabi member, iaeng, mukul shukla and sisa pityana," functionally graded material: an overview", proceedings of the world congress on engineering, vol. iii, 2012. [6] jaesang yu, cheol-min yan and yong chae jung," micromechanics modeling of functionally graded materials containing multiple heterogeneities" ,composite research, vol.26, pp.392-397, 2013. [7] mahmoud samir el-wazery and ahmed reffat ei-desouky," fabrication and characteristics of 8ysz/ni functionally graded materials by applying spark plasma sintering procedure", int. j. appl. sci. eng., vol. 12, pp.313-321, 2014 [8] f. attiay, a. raheem, s. ali," studying dielectric and magnetic properties of nano ferrite functionally graded materials" energy procida, accepted paper, 2017. [9] tatyana koutzarova , svetoslav kolev, kornely grigorov , chavdar ghelev, andrzej zaleski , robert e. vandenberghe , marcel ausloos , catherine henrist , h, rudi cloots , and ivan nedkov," structural and magnetic properties of nanosized barium hexaferrite powders obtained by microemulsion technique", trans tech publications, switzerland, vol.159, pp.57-62, 2010. )2018( 99107 ، صفحة1د، العد14دجلة الخوارزمي الهندسية المجلم صابرين عبد 107 ناعم المتدرجة وظيفيا -لمواد الفرايت صلب ةوالمورفولوجي ةالخصائص الفيزيائي *** عبد صابرين **أكرم جبر *فاضل جياد قسم هندسة المواد/ الجامعة التكنولوجية*،**،*** fchyad_2009@yahoo.de:البريد االلكتروني* akram.jabut@gmail.com **البريد االلكتروني: sabreenali217@gmail.comالبريد االلكتروني: *** الخالصة من عينات المواد ةنماذج مختلف ةفي هذا العمل تصنيع ثالثوتم سيراميك بأستخدام تقنية تكنلوجيا المساحيق. -المواد المتدرجة وظيفيا بمكونات سيراميك يثيوم) . فرايت الل) والفرايت الناعم (طبقات. المكونات السيراميكية متمثلة بالفرايت الصلب ( فرايت الباريوم ٧طبقات و ٥طبقات , ٣المتدرجة وظيفيا الى الماسح االلكتروني. لقد تم قياس بعض الخصائص ساعتين وتم تشخيصها بتقنية درجة سيليزيه لمدة١١٠٠جميع العينات تم تلبيدها بدرجة حراره ثابته عند زداد بأزدياد . أوضحت النتائج ان الكثافة تةتتضمن الكثافه الظاهرية, المضخمه,المساميه,االنكماش والصالد ةلعينات المواد المتدرجة وظيفيا المصنع ةالفيزيائي المواد داخل تركيب المواد المتدرجة وظيفيا. أوضحت صالدة فيكرز اعلى القيم عند يم حدوث تدرج بومن اهم العوامل لتق دد الطبقات. االنكماش الخطي يعدع من شكل صفائحي في الفرايت الصلب الى شكل كروي في الفرايت ةداخل المنظوم امجهري اوأخيرا أظهرت صور الماسح االلكتروني تدرج , fgm7عينة الناعم. شيماء وزينة al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 7, no.4, pp 88 – 96 (2011) the linear and nonlinear electro-mechanical fin actuator shaimaa a. mahdi zeina a. abdul redha department of energy engineering /college of engineering /university of baghdad email: s .alaasadi@yahoo.com (received 17 january 2011; accepted 17august 2011) abstract electromechanical actuators are used in a wide variety of aerospace applications such as missiles, aircrafts and spyfly etc. in this work a linear and nonlinear fin actuator mathematical model has been developed and its response is investigated by developing an algorithm for the system using matlab. the algorithm used to the linear model is the state space algorithm while the algorithm used to the nonlinear model is the discrete algorithm. the huge moment constant is varied from (-3000 to 3000) and the damping ratio is varied from (0.4 to 0.8). the comparison between linear and nonlinear fin actuator response results shows that for linear model, the maximum overshoot is about 10%, rising time is 0.23 sec. and steady state occur at 0.51 sec., while for nonlinear model the maximum overshoot is about 5%, rising time is 0.26 sec. and steady state occurs at 2 sec.; i.e., the nonlinear fin actuator system gives faster and more accurate response than does the linear fin actuator system. keywords: electro-mechanical actuator, fin, nonlinear actuators, response. 1. introduction the use of electromechanical actuation becomes increasingly popular in the aerospace industry as more importance is placed on maintainability. electromechanical actuators (emas) are being used in the actuation of flight critical control surfaces and in thrust vector control [milan r. ristanovic, dragan v. lazic and ivica indin 2008]. systems whose actuation mechanisms display both direct, i.e., mechanical work to electrical energy conversion, and converse effects between electrical charge and mechanical work employ electromechanical effects [anusha anisette 2007]. electro-mechanical servo systems have been steadily used in fin position servo systems of guided missiles, because of their momentary overdrive capability, low quiescent power/ low maintenance characteristics and long-term storability. during a flight, fin position servo systems have many uncertainties due to disturbances, parameter variations, and electrical noises and so on. furthermore fin position servo systems are subjected to aerodynamic load disturbances, such as the deflection angle of the control fin, the angle of attack and mach number [chung-hee yoo, young-cheol lee and sangyeal lee 2005]. in control system design, although linear control theory has wide range of applicability, very often some “nonlinearities” very often must be taken into account. although in the last few years the stability analysis of a single – input single – output (siso) system with saturating actuator was studied using a circle or popover , s criteria to analyze the stability of saturating system via pi control. since these criteria can only apply (siso) to stable plants, a complicated rearrangement of these systems is needed when applied to unstable plants. we should point out that such a technique of analysis is not easily extended to a multivariable case. mailto:.alaasadi@yahoo.com shaimaa a. mahdi al-khwarizmi engineering journal, vol. 7, no.4 , pp 88 96 (2011) 89 the objective of this paper is to formulate and solve the problem using the state – space model and discrete algorithm. after the fin’s position is assumed its velocity and acceleration is found by integrating the position equation to show the velocity and acceleration transient response. finally a design algorithm is proposed and a comparison is done between the linear and nonlinear fin actuation results. 2. fin actuator models two types of fin actuator models are discussed in this work : a linear second – order model and a nonlinear second – order model. 2.1. the linear model a simple model that could describe an actuator, s dynamics is a linear second – order system with demoing zeta (ζ) and natural frequency omega (ωn). the transfer function of a second – order system is given below, where (δ) is the output and (δc) is the input. figure (1) shows one of many possible methods of implementing the transfer function as a block diagram. g(s) = ( δ / δc ) =( ωn 2 / s2+2 ζ ωn s+ ωn 2) …(1) the differential equation describing system dynamics is [milan r. ristanovic, dragan v. lazic and ivica indin 2008, scott j. moody1989]: ̈ = ωn 2 ( δc – δ – ̇ ) … (2) the system state equations are : x = ax + b f(t) …(3) 1 2 =̇ 0 1− −2ζ 1 2 + 0 …(4) = [1 0] 1 2 …(5) where δ ( x1 ) is the fin position , ̇ ( x2 ) is the fin velocity , and ̈ ( ̇2 ) is the fin acceleration. the system response with time in linear model show in fig .2, fig.3 and fig.4 . fig. 1. second-order linear block diagram . shaimaa a. mahdi al-khwarizmi engineering journal, vol. 7, no.4 , pp 88 96 (2011) 90 fig. 2. linear position unit step response. fig. 3. linear velocity unit step response. fig. 4. linear acceleration unit step response. analytical solution since there is a difference between the solutions to the differential equations for actual and simulated systems, an analytical solution will be developed for comparison. the input (δc) will be a unit step [scott j. moody1989]: δc = 1 … (6) after laplace transfer: δc = 1/ …(7) from the transfer function: δ (s) = g (s) . δc (s) = ( ωn 2 / s ( s2+2 ζ ωn s+ ωn 2) ) …(8) δ (t) = l-1 [ δ (s) ] …(9) from a table of laplace transform, find the solution to δ (t): δ (t) = [ ( 1/ ωn 2) – (1/ ωn 2√(1− ζ 2)) eζ ωnt sin (ωn √(1 − ζ 2) + tan-1 (√(1 − ζ 2) / ζ ) ) ] ωn 2 …(10) where tan-1 (√(1− ζ 2) / ζ) = cos-1ζ δ (t) = [ 1 – (1/ √(1− ζ 2)) eζ ωnt sin (ωn √(1 − ζ 2) t+ cos-1ζ )] …(11) for a solution to the first integral, ̇ ( t ) : ̇ ( t ) = l-1 [ s δ (s) δ ( 0+) ] …(12) assume δ ( 0+) = 0 s δ (s) = ( ωn 2 /( s2+2 ζ ωn s+ ωn 2) ) …(13) from the laplace transform table: ̇ ( t ) = ωn 2[( 1/ ωn √(1− ζ 2)) eζ ωnt sin (ωn √(1 − ζ 2) t] …(14) ̇ ( t ) = [ωn eζ ωnt sin (ωn √(1− ζ 2) t] / √(1 − ζ 2) …(15) for example using an ωn of 144 rad/sec, and a ζ of 0.6, we get: δ (t) = 1 1.25 e-86.4t sin( 115.2t + 0.927 ) rad …(16) ̇ (t) = 180 e-86.4t sin( 115.2t ) rad/sec …(17) the system response with time in linear model with different values of zeta to find the beast one of stability to position show in fig .5 , velocity show in fig.6 and acceleration slow in fig.7 shaimaa a. mahdi al-khwarizmi engineering journal, vol. 7, no.4 , pp 88 96 (2011) 91 fig. 5. linear position unit step response . fig. 6. linear velocity unit step response . fig. 7. linear acceleration unit step response . 2.2. the nonlinear model a second type of model is one that contains physical limitations, which were added to the linear second-order model to yield a second-order nonlinear model. the second-order linear model was modified to include characteristics typical of an actuator motor. this resultant nonlinear model more closely emulates the real thing. these characteristics are inherent limitations of the physical system and are nonlinear. they include; position limits ( fin stops ), velocity limits ( slew rate limits ), acceleration limits ( tinite torque ), a dead band in the rate feedback , and aerodynamic hinge moments. fig.(8) shows a block diagram of second-order nonlinear model as it can be seen from the block diagram, there is no trivial analytical solution for the differential equation [scott j. moody1989]: ̈ = ωn 2 ( δc – δlim ratefb − ̇ ) hm … (18) shaimaa a. mahdi al-khwarizmi engineering journal, vol. 7, no.4 , pp 88 96 (2011) 92 fig. 8. second order non-linear block diagram . 2.3. the nonlinearities in the control system nonlinearities in control systems may appear due to one or more combination of the following [choudhury 2008]: a. the process may be nonlinear in nature. b. the control system may have a nonlinear characteristic. c. the control system may develop nonlinear faults (the work in this paper focuses on this type of nonlinearities by studying each fault and its effect on the servo system). d. a nonlinear disturbance may enter the system the main nonlinearities discussed in this paper are dead zone and saturation. 3. simulation results the response is for unit-step input because it is the type of input used in the control systems, and the simulations are carried out using matlab. fig. 9. non-linear position unit step response. shaimaa a. mahdi al-khwarizmi engineering journal, vol. 7, no.4 , pp 88 96 (2011) 93 fig. 10. non-linear velocity unit step response the position response with time in nonlinear model with different value of km show in fig .12 fig. 11. non-linear acceleration unit step response. fig. 12. non-linear position unit step response with different km. shaimaa a. mahdi al-khwarizmi engineering journal, vol. 7, no.4 , pp 88 96 (2011) 94 4. results and discussion the results of the simulation as follow fig.(2) shows the position unit–step response with time for linear model, the maximum overshoot is about 10% , rising time is 0.23 sec. and steady state occur at 0.51 sec. fig.(3) shows the velocity unit–step response with time for linear model, the max value of velocity is 70 rad/sec. and the steady state occur at 0.51 sec. fig.(4) shows the acceleration unit–step response with time for linear model, the max value of acceleration is 3.2 *10 4 rad/sec2. and the steady state occur at 0.51 sec. fig.(5) shows position unit–step response with time for linear model when ζ is between( 0.4 0.8), the maximum overshoot is between (30% 2%), while rising time between( 0.15 0.3) sec. and the steady state occur between (0.8 0.4) sec. i.e. if we decreased ζ, the overshoot increased and rise time is faster. fig.(6) shows the velocity unit–step response with time for linear model model when ζ is between( 0.4 0.8), the max value of velocity is between ( 90 – 60) rad/sec. and the steady state occur between( 0.8 – 0.4) sec. fig.(7) shows the acceleration unit–step response with time for linear modelwhen ζ is between( 0.40.8), the max value of acceleration is between ( 3.3 *10 4 3.1 *10 4) rad/sec2. and the steady state occur between( 0.8 – 0.4) sec. fig.(9) shows the position unit–step response with time for nonlinear model ,the maximum overshoot is about 5% , rising time is 0.26 sec. and steady state occur at 2 sec. fig.(10) shows the velocity unit–step response with time for nonlinear model, the max value of velocity is 27 rad/sec. and the steady state occur at 2 sec. fig.(11) shows the acceleration unit–step response with time for nonlinear model, the max value of acceleration is 104 rad/sec2. and the steady state occur at 2.2 sec. fig.(12) shows the nonlinear position unitstep response when various hinge moment constants were added between (3000 to 3000 ), the overshoot increased and the rise time is faster. the hinge moment hm is a function of the fin deflection and a hinge moment constant km. the results of the simulation show that the decreasing in maximum overshoot and the increasing in rising and steady state times for the nonlinear model because of nonlinearities effectiveness. however the nonlinear second order system gives faster and more accurate response especially in the presence of system parameter variations and external disturbances than did the linear system. 5. conclusions for linear model the transient response depended on the value of ζ, so if we decrease ζ, the overshoot increased and rise time is faster, while for nonlinear model the rise time is lengthened but the overshoot was less. in another hand when various hinge moment constants were added we found that the overshoot increased and the rise time was faster . so, the nonlinear second order system closely modeled the actuator’s dynamics and physical characteristics than did the linear system and gave faster and more accurate response especially in the presence of system parameter variations and external disturbances. notation t time sec s laplace transform km constant hm hinge moment m. n greek letters ξ damping ratio ∆ time change (t2-t1) ωn natural frequency rad /sec δc unit step function (input) δ fin position (output) rad δ' fin velocity rad /sec δ'' fin acceleration rad /sec shaimaa a. mahdi al-khwarizmi engineering journal, vol. 7, no.4 , pp 1 12 (2011) 95 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[7] francis h. raven (1982), " automatic control engineering", mcgraw-hill inc [8] katsuhiko ogata (1997), "modern control engineering", prentice hill international, inc. [9] katuhisa furuta (1988), "state variable methods in automatic control", printed and bound in great britain by biddles of guildford. [10] m.a.a.s. choudhury et al., (2008)," diagnosis of process nonlinearities and valve stiction, springer verlag", berlin, heidelberg [11] menon r. k. and iragavarapu v. r. (1998)," adaptive techniques for multipile actuator blending", optimal synthesis inc., boston. [12] milan r. ristanovic, dragan v. lazic and ivica indin (2008), "nonlinear pid controller modification of the electromechanical actuator system for aero fin control with a pwm controlled d.c. motor", automatic control and robotics vol. 7, no.1, 2008 pp.131-139. [13] murali mohan gade, k. k. mangrulkar, a.b. mote,(2008)," design of a selfdither controller for an electropneumatic fin actuator of a missile", proceedings of the international conference on aerospace science and technology, bangalore, india. [14] scott j. moody, (1989), " missile actuator simulation and investigation into accuracy of runge-kutta numerical integration". guidance and control directorate research, development, and engineering center, usa. )2011(88 96 ، صفحة4، العدد7مجلة الخوارزمي الھندسیة المجلد شیماء عالء الدین 96 والالخطيمشغل الزعنفة الكھرومیكانیكي الخطي زینھ علي عبد الرضا شیماء عالء الدین مھدي جامعة بغداد /كلیة الھندسة/قسم ھندسة الطاقة alaasadi@yahoo.coms.: البرید االلكتروني الخالصة في ھذا البحث تم . غیرھاحشرات التجسس وتستعمل المشغالت الكھرومیكانیكیة في أنواع مختلفة من التطبیقات الفضائیة مثل الصواریخ والطائرات و بناء نموذج ریاضي لمشغل الزعنفة الخطي والالخطي وقمنا بالتحقیق حول استجابتھ وذلك ببناء خوارزمیة للمنظومة وتطبیقھا برمجیا بینما الخوارزمیة المستخدمة لألنظمة الالخطیة ھي state spaceلالنظمة الخطیة ھي خوارزمیة الخوارزمیة المستخدمة . matlabدامباستخ ). ٠.٨إلى ٠.٤(نسبة التخمید ما بین وتغیر قیم ) ٣٠٠٠الى ٣٠٠٠-(وقد تم حساب قیم متغیرة لثابت العزم المضخم ما بین , الخوارزمیة المنفصلة ثانیة ویحدث ٠.٢٣ rising time و % ١٠ maximum overshoot وجد ان لمشغل الزعنفة الخطي والالخطي نة بین نتائج االستجابة ن المقارم یة ثان ٠.٢٦ rising timeو % ٥ maximum overshoot ثانیة لمشغل الزعنفة الخطي بینما لمشغل الزعنفة الالاخطي یكون ٠.٥١االستقرار عند .ثانیة ، أي انھ مشغل الزعنفة الالخطي یعطي استجابة اسرع وادق من مشغل الزعنفة الخطي ٢ویحدث االستقرار عند mailto:.alaasadi@yahoo.com (microsoft word \307\316\341\307\325 \346\345\310\311156-163) al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 1, march, (2018) p.p. 156163 energy consumption analyzing in single hop transmission and multi-hop transmission for using wireless sensor networks ekhlas k. hamza* heba h. alhayani** *,**department of control and systems engineering / university of technology/ baghdad * email: ekhlas_kadhum@yahoo.com ** email: heba_alhayani@yahoo.com (received 11 april 2017; accepted 31 october 2017) https://doi.org/10.22153/kej.2018.10.009 abstract wireless sensor networks (wsns) are emerging in various application like military, area monitoring, health monitoring, industry monitoring and many more. the challenges of the successful wsn application are the energy consumption problem. since the small, portable batteries integrated into the sensor chips cannot be re-charged easily from an economical point of view. this work focusses on prolonging the network lifetime of wsns by reducing and balancing energy consumption during routing process from hop number point of view. in this paper, performance simulation was done between two types of protocols leach that uses single hop path and modleach that uses multi hop path by using intel care i3 cpu (2.13ghz) laptop with matlab (r2014a). the simulation results showed how the multi-hop protocol was more energy efficient than single hop protocol. keywords: energy-efficient, leach, modleach, networklifetime, wireless sensor network 1. introduction the improvements in mems (micro electromechanical systems) as well as in wireless communiqué have boost the extending of billions of small and low cost wireless strategies as well as various type of wireless systems which connect these devices with or deprived of any present arrangement[1] . wireless device networks (wsns) are dividing data acquisition system consisting of plentiful wireless sensor nodes. the fast arrangement, selfgroup and fault tolerance characteristics of wsns make them a very promising sensing technique for environmental, military and health applications. a wsns consists of hundreds and thousands off sensor nodes (sns). these sns have ability to monitor phenomenon's in the environment such as temperature, sound, pressure and communicate this information wirelessly with each other or directly to the base station (bs) [2].sns consists of sensors, processor, memory, communication system, mobilizer, position finding system, and power units ,see fig 1 [3]. one of the challenges of the successful wsns application is the energy consumption problem. [4] sns have incomplete battery lifetime. frequently their battery cannot be exchanged and re-energized due to area of their deployment, so, the network life span be contingent upon the initial battery capacity of sns. a careful management of the resources should be used here to increase lifespan of wsns. and the excellence of routing proprieties also be contingent upon the amount of data (real facts indication) positively expected by bs from sns organized in the network area. number of routing protocols has been proposed for wsns [5, 6] , figure 2 show the routing protocol classification. proprieties are more categorized as practical, sensitive and mix, conditional on the kind of ekhlas k. hamza al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 156163 (2018) 157 message routes processed within the network for data communication from the source to bs . in active routing proprieties all the pathways are considered before the bs makes an beginning to connect with the sns in the system, whereas in reactive routing protocols the path values are calculated only when required. the path values are calculated and best path is choice for data transmission when a bs wants to communicate with sns. hybrid routing protocols is a gathering of both proactive and reactive protocols, depending on the type of communication the path calculated from the bs to the source[7] fig. 1. components of wsns node[3]. fig. 2. general classification of routing protocols in wsns[6, 8]. data gathering technique, also known as data fusion, is to optimize transmit data and obtain energy efficiency. data collection is defined as the collection of information from several sns in a systematic manner and sent to the bs for processing. since sns could make important dismissed information, that could be similar data aggregated as well for achieving the reducing of data in the small groups of significant material. while, data combination is the combination of data that minimized into small groups of meaningful information from various sources according to a certain aggregation function [9, 10] single hop transmission using when small scale network and when sns close to bs. multi hop transmission using when large scale network and when sns far away from bs . when the transmitter distance is proportional to d4 the long distance is divided into sub ekhlas k. hamza al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 156163 (2018) 158 distances this needs more energy efficient , the power attenuation is proportional to the d2 [1] . this research is planned as follows: section 2 consists of the brief description about the low energy adaptive clustering hierarchy (leach) and modify low energy adaptive clustering hierarchy (mod-leach) protocols. section 3 describes system model and assumptions. section 4 describes the implementation of the experiment section 5 simulation results along with comparisons are discussed and lastly, section 6 concludes the paper. 2. low energy adaptive 2.1. clustering hierarchy (leach) the first hierarchical routing protocol in the wsns is leach (low-energy adaptive clustering hierarchy) protocol[11, 12] , single hops path selection[13] and proactive routing protocol[14] . leach protocol is organize the sns into cluster, there is elected sns called cluster head (ch) and the rest nodes a called cluster member (cm) (leach shown in figure 3 ). leach down into rounds, each round has two phase :the setup phase and the steady state phase . 2.1.1 setup phase in this phase, clusters are formed and a ch is chosen for each cluster. every sn (n) chooses number randomly between 0 and 1. if this unsystematic quantity is less than inception value t(n), the sn will become a ch for the present round[15]. t(n) is defined as follows: t(n) = � ����� �� �� � if n ∈ g 0 otherwise …(1) [15] where p is the percent. ch to all of the nodes r is the current round g is the set of nodes that was elected in the past 1/p rounds of election. mod () is the modulus function. when r = 0, the chance of each sn can become the ch is p. in the first r rounds if and sn becomes the ch, it can be not reelected in the future time (1/p – r) round which boost the option of other sns to develop a ch. all sns have the possibility of p to be a ch once again over and over again when 1/p rounds. a sn is designated as a ch at random. the ch node broadcasts messages to the environment, and other sns select a cluster to join in, subject to the intensity of the broadcasted messages they received, and then inform the corresponding chs. a ch communicates with a bs directly and the cms only communicate with the ch in their own cluster. while clusters are forming, each ch creates a tdma schedule giving to the number of sns in the cluster. each sn transfers their detected data to its ch through its distributed transmission time in the tdma [11-13]. 2.1.2 steady-state phase in the phase, all the cms start detecting data and send it to their chs giving to the tdma schedule. the ch compresses the receiving data and sending it to the bs. communication will be via direct-sequence spread spectrum; each cluster uses a unique spreading code to reduce inter-cluster interference. after an estimated period of time the network again goes into the setup phase and enters another round of selecting chs[11-13]. fig. 3. leach protocol [16] ekhlas k. hamza al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 156163 (2018) 159 2.2. modify low energy adaptive clustering hierarchy (mod-leach) mod-leach is one of hierarchical routing protocols in the wsns introduce by [14] , work of this protocol based on leach. it is multi hop protocol if the distance between chs and bs far multi hop path communication is adopted among chs [8] and proactive routing protocol [14]. this protocol modulating leach through put in “efficient ch replacements scheme”. for the next round, it has the threshold in the ch formation. the existing cluster will also remain ch for the next round when it has no enough energy to consume during its time and has more energy than essential edge .this matter describes how energy unused in routing packets for cluster formation and new ch can be saved accordingly. so, if ch has low energy than required for threshold; then leach algorithm will be exchange in cluster formation for limiting energy usage, according transmission nature two different levels can be used of power in order to amplify signals .three methods of communication in one cluster based system. 1)intra cluster transmission deals cms sense data and explosion recognized information to ch , 2) inter cluster communication can be named for the transmission/ reception between two chs , 3) ch to bs transmission is the transmission while a ch transmitting it’s data straight to bs[14]. mod-leach is more enhanced by using the idea of soft and hard threshold as presented by teen[14]. 3. system model and assumptions 3.1. assumptions the following expectations are made for the new scheme: • all sn are homogenous and stationary after deployment • the sink stationary and has the information about the location of each node. • each sn makes one data package per time unit to be communicated into sinks. we denote to each time unit as a round for simplicity. • sns are dispersed in a 2-dimensional space and cannot be recharged after deployment. • each sn is assigned a unique identifier (id). • each sn has the same initial power. • energy of transmission depends on the distances (source to destination) and data sizes. • radio’s channel can be considered as a symmetric i.e. to communicate a message from node m to node n the energy should be required and verse versa if a message from node n to node m is transmitted for a given snr. • the sn has no cooperation , moreover; it doesn’t attempt to contact the channel instantaneously and we study a lined wireless network designed for this examination. 3.2 radio energy model for approximation the energy depletion for sns and the system lifetime , we usage the principal instruction energy model (shown in fig. 4). this model introduces (presents) the energy consumed for sending and receiving l-bit communication above a distance d then transferring interested in a wireless account transmission and multi pathway transmission simulations. the communication energy in wireless typical can be considered as a relational to space d2, while for multi pathway spread classic, the energy is relational to space d4 according to unlike pathways that transfers the communicated indication to extent the receiver itself.[17]. fig. 4. first order energy model[17] ekhlas k. hamza al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 156163 (2018) 160 energy sends information of l bit package above a space d from a node to a ch otherwise a bs which is designed giving to under stated equation (2). etx = e elec (l)+ ɛamp(l,d) ...(2) where eelec energy consumed to transmit or receive the signals electronic circuit ɛamp energy consumed to transfer at a longer distance by the amplifier l no. of bits in a packet d distance between transmitter and receiver obtaining the crossover distance do that describes the spread evolution from through pathway to multipath typical: do= � ɛ�� ɛ�� ...(3) where ɛfs energy consumed to communicate at a smaller distance by the amplifier ɛamp energy spent to communicate at a longer distance by the amplifier the energy disbursed for wireless spread (where d < do) etx-fs is defined by: etx-fs= e elec.l + ɛfs . l.d2 ...(4) where eelec energy depleted in electronic path to communicate or accept the indication ɛfs energy consumed by the amplifier to communicate at a shorter distance l no. of bits in a packet d distance between transmitter and receiver the energy spent for multi-path spread (where d ≥ do) etx-mp is given by: etx-mp(l,d) = eelec . l + ɛmp . l.d4 ….(5) where e elec energy spent in electronic circuit to transmit or receive the signal ɛamp energy consumed by the amplifier to transmit at a longer distance l no. of bits in a packet d distance between transmitter and receiver the energy expended to receive l-bit message is defined as [11]: erx(l)=eelec.l ...(6) where eelec energy spent in electronic path to communicate or accept the indication l no. of bits in a packet 4. simulation to evaluate the performance of single hop and multi hop in wsns, we have performed in matlab (r2014a) when run for 5000 rounds with randomly deployment nodes. simulation parameters shown in table 1. single hop in our work can be obtained by implementation the leach and the modleach protocol present in implemented to obtain the multi hop in wsn, both leach and modleach are proactive (periodical transmissions). our goals in conducting the simulation are as compare the performance of the single hop protocol and multi hop protocol in wsns on the foundation of energy intemperance and the lifetime of the system. table 1, simulation parameter parameter value network size 100m×100m base station position 50 m × 75m number of nodes 100 percentage of ch 0.1 message size 2000 bit communication and reception energy 50 nj/bit energy increase for wierless 10 pj/bit/m2 energy amplification for multi path 0.0013 pj/bit/m2 initial energy for nodes 0.5j data aggregation energy 5nj/bit/message experiments in this work use two metrics to analyze and compare the performance of the protocols. they are: normal energy degenerate: this metric indications the average intemperance of energy per sns over time in the network. three features are measured to be accountable for intense the energy throughout facts routing which are: data send, data receive and data combined. network lifetime: is the time from the early of the test (turning all sensors on) until the instant when the first one expired. we use term fnd (first node dead) , hnd (half node dead ) and lnd(last node dead ) for indicate the lifetime of network. 5. results 5.1 average energy dissipated normal remaining energy of system per round as in shows fig. 5. each node has 0.5 j .the total ekhlas k. hamza al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 156163 (2018) 161 energy for 100 node is 50j (0.5j*100=50j). fig 5 clearly depicts that multi hop outperforms single hop in positions of energy depletion per round. multi hop yields minimum energy consumption than single hop because the space among sns is measured and wireless spread is frequently adopted as the minimization of inter-nodes space outcome in d2, as the connection cost factor in its place of d4 for multipath spread. this spread typical transformation well rises the energy productivity of the system. fig. 5.complete energy of the system against broadcast rounds for single hop and multi hop protocols. 5.2. total number of nodes dead: fig 6 & table 2 shows dead node number of network per round .the fnd is dead of the single hop protocol after 762 rounds and the lnd after 2650 rounds. the fnd of multi hop protocol is dead after 2020 rounds and lnd is lifeless after 3064 rounds. but totally the instrument nodes are expired when 2650 rounds for single hop procedure, wherever at the identical round practically 20% of nodes are still active in the multi hop .accordingly, the achieved instrument system by the multi-hop remains alive during more rounds. fig. 6. total dead node of the system against transmission rounds for single hop and multi hop protocols table, dead nodes for single hop and multi hop protocols fnd hnd lnd single hop 762 rounds 1510 rounds 2650 rounds multi hop 2020 rounds 2389 rounds 3064 rounds 6. conclusion steering process is of very significance in enhancing energy depletion in wsn. in this research, we present a compare the performance of the single hop protocoland multi hop protocol in wsn on the basis of energy dissipation and the lifetime of the network. outcomes of achieved models reveal that the multi hop protocol outclasses single hop procedure and allows the sns to improve communication energy and increasing the network lifetime. 7. references [1] j. wang, "hop-based energy aware routing scheme for wireless sensor networks",ph.d. thesis , kyung hee university seoul, korea, february, 2010. [2] m . hussain , r. h. chowdhury , m. hassan , m. a. hossain ,s. jahan and m. h. rahman , " performance analysis of various modulation schemes for achieving energy efficient communication over fading channel for wireless sensor network " iosr journal of electronics and communication ekhlas k. hamza al-khwarizmi engineering journal, vol. 14, no. 1, p.p. 156163 (2018) 162 engineering (iosr-jece), vol. 11, issue 1, pp. 97-100 , 2016. [3] j. n. al-karaki and a.e. kamal, "routing techniques in wireless sensor networks: a survey". ieee wireless communications, vol. 11, no. 6 ,pp. 6-28, 2004. [4] j. wang, y. niu, j. cho and s. lee, " analysis of energy consumption in direct transmission and multi-hop [5] transmission for wireless sensor networks ", third international ieee conference on signal-image technologies and internetbased system , ieee , 2007. [6] m. aslam, m. b. rasheed, t. shah, a. rahim, z. a. khan, u. qasim, m. w. qasim, a. hassan, a. khan and n. javaid ," energy optimization and performance analysis of cluster based [7] routing protocols extended from leach for wsns", arxiv preprint arxiv:1309.4373, 2013. [8] p. k. singh," energy efficient clustered chain based power aware routing protocol for wireless sensor networks" , master thesis , national institute of technology rourkela , india , 2013 . [9] m. ali and s. k. ravula, " real-time support and energy efficiency in wireless sensor networks " , master thesis , halmstad university , halmstad, sweden, january, 2008. [10] s. rani and s.h. ahmed," multi-hop routing in wireless sensor networks: an overview, taxonomy, and research challenges"., springer ,2015. [11] jain, t. "wireless environmental monitoring system (wems) using data aggregation in a bidirectional hybrid protocol." in international conference on information systems, technology and management, springer, 2012. [12] p. kumar, a. chaturvedi, and m. kulkarni, "geographical location based hierarchical routing strategy for wireless sensor networks". in devices, circuits and systems (icdcs), 2012 international conference on,ieee, 2012. [13] w.b. heinzelman, a.p. chandrakasan, and h. balakrishnan, "an application specific protocol architecture for wireless microsensor networks", ieee transactions on wirelesscommunications,vol.1,no.4,pp.660 -670 , 2002 . [14] d. verma, r. jain, and a. shrivastava, "performance analysis of leach and leach-cc routing protocol in wireless sensor network" . iup journal of telecommunications ,vol.8 , no.3 pp.45, 2016. [15] l. an, a. li , l. pang and g. he, " analyss and comparison of routing protocol of wireless sensor network", international journal of online engineering,vol.12 ,no.10 , 2016. [16] d. mahmood, n. javaid, s. mahmood, s. qureshi, a. m. memon and t. zaman , " modleach: a variant of leach for wsns ", in broadband and wireless computing, communication and applications (bwcca), 2013 eighth international conference on.,ieee ,2013. [17] w.r., heinzelman, a. chandrakasan, and h. balakrishnan," energy-efficient communication protocol for wireless microsensor networks", in system sciences, 2000. proceedings of the 33rd annual hawaii international conference on,ieee , 2000. [18] a.k. singh, s. rajoriya, s. nikhil, and t. k. jain," design constraint in single-hop and multi-hop wireless sensor network using different network model architecture", in computing, communication & automation (iccca), 2015 international conference on. 2015. ieee. [19] i.f. akyildiz and m.c. vuran, "wireless sensor networks", john wiley & sons vol. 4. 2010. )2018( 156-163، صفحة 1دالعد ،14دجلة الخوارزمي الهندسية المجلم حمزة كاظم اخالص 163 تحليل استهالك الطاقة عند االنتقال بقفزة واحدة و بقفزات متعددة لشبكات االستشعار الالسلكية **الحيانيهبة حسين *اخالص كاظم حمزة ةقسم هندسة السيطرة والنظم/ الجامعة التكنولوجي **،* ekhlas_kadhum@yahoo.comالبريد األلكتروني: ** heba_alhayani@yahoo.comالبريد األلكتروني: * الخالصة من اهم .اقبة و الصحة و الصناعة و غيرهايمكن استخدام شبكات االستشعار الالسلكية في العديد من التطبيقات مثل التطبيقات العسكرية و المر س بسب الصعوبات التي تواجه شبكات االستشعار الالسلكية هي مشكلة استهالك الطاقة حيث من المستحيل اعادة شحن البطاريات المستخدمة في المتحس قة خالل عملية . في هذا العمل تم التركيز على اطالة عمر الشبكة عن طريق موازنه استهالك الطا صغر حجمها و صعوبة دمجها في رقائق المتحسس و المقارنة بين برتكولين يعمالن ضمن نفس البيئة البرتكول االول هو matlabالتوجيه . تم الحصول على النتائج من المحاكاة باستخدام برنامج leach الذي يمثل قفزة واحدة و البرتكول الثانيmod-leach قال عن طريق القفزات الذي يمثل متعددة القفزات . اظهرت نتائج المحاكاة ان االنت المتعددة افضل من القفزة الواحدة من ناحية استهالك الطاقة و اطالة عمر الشبكة . باسم حميد وزياد al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48 -56 (2013) thermodynamic and kinetic study of the adsorption of pb (ii) from aqueous solution using bentonite and activated carbon bassim hameed graimed* ziad t. abd ali** *university of baghdad **department of environmental engineering/ university of baghdad *e-mail: bassim.hameed@yahoo.com **e-mail:z.teach2000@ yahoo.com (received 25 february 2013; accepted 24 april 2013) abstract the adsorption of pb(ii) ions onto bentonite and activated carbon was investigated. the effects of ph, initial adsorbent dosage, contact time and temperature were studied in batch experiments. the maximum adsorption capacities for bentonite and activated carbon were 0.0364 and 0.015 mg/mg, respectively. thermodynamic parameters such as gibbs free energy change, enthalpy change and entropy change have been calculated. these thermodynamic parameters indicated that the adsorption process was thermodynamically spontaneous under natural conditions and the adsorption was endothermic in nature. experimental data were also tested in terms of adsorption kinetics, the results showed that the adsorption processes followed well pseudo secondorder kinetics. keywords: bentonite, activated carbon, lead ions, adsorption, kinetic. 1. introduction according to the world health organization (who), the metals of most immediate concern are aluminum, chromium, manganese, iron, cobalt, nickel, copper, zinc, cadmium, mercury and lead. in particular, lead is one of the important toxic elements found in industrial effluents causing water pollution. lead is one of the industrial pollutants; possibly enters to the ecosystem through soil, air and water. inorganic lead causes disturbance in the central nervous system by changing the characteristics of the early organism [9,6]. according to who, the maximum permissible limit of lead in drinking water is 0.1 mg/l [16]. hence, the appropriate treatment of industrial wastewater which releases lead into the aquatic and terrestrial systems is very important. at present, a number of technologies can be used to remove heavy metals from the contaminated wastewater such as filtration, adsorption, chemical precipitation, ion exchange, membrane separation, and electroremediation methods [5,11]. however, most of these methods might not be efficient in removing heavy metal at very low concentrations, and could be relatively expensive. these methods are also not effective due to their secondary effluent impact on the recipient environment. hence, the simple, effective, low cost and eco-friendly techniques are required for the fine tuning of effluent wastewater treatment. the search for low cost, and easily available adsorbents has led to the investigation of materials of agricultural and biological origin, alongside those of industrial by-products as adsorbents for removal of heavy metals [8,13]. examples of such low cost adsorbents are clay [2], cotton [12], wool fiber [1], tea leaves [14] and other materials. the main aim of this study is the presence of heavy metals in water is a major concern due to their toxic effects since they cause severe health mailto:bassim.hameed@yahoo.com bassim hameed graimed al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48-56 (2013) 49 problems to animals and human beings. many industrial processes produce aqueous effluents containing toxic metal contaminants. 2. experimental work and methods 2.1. preparation of adsorbents bentonite and activated carbon used were as the adsorbents in this study. bentonite was supplied by the state company of geological survey and mining (baghdad) as pieces of rocks, these rocks were destructed to granules of different sizes, using sieves to produce granules of sizes (0.5 0.6) mm, (de= 0.00054) m. the granules of bentonite were dried at (100) °c for (1) hour before used. granulated activated carbon (gac) was supplied by unicarbo, italians to the iraqi local markets. the granulated activated carbon was crushed, sieved into (0.50.6) mm, (de = 0.00054) m. the require sieve fraction was washed many times by distilled water to remove fines from the crushed gac and dried in an oven maintained at (100) °c for (2) hours, after which the gac was kept in a desiccators for experimental use. 2.2. preparation of simulated wastewater stock solutions (1000 mg/l) of lead ions were prepared by dissolving an appropriate weight of pure salt pb(n03)2 in the desired volume of de-ionized water. the stock solution was successively diluted with de-ionized water to obtain the desired test concentration (800 mg/l) of metal ions. concentration of lead ion was measured using atomic adsorption spectrophotometer (type: accusys 211 ,ukscientific ltd.). 2.3. adsorption experiments the batch experiments were performed by adding the desired amount (100 ml) of the dilute stock solution (800 mg/l) in 250 ml of volumetric flasks at the designated adsorbent dose, ph, and temperature. the solution was shaken using shaker at 200 rpm for a definite period (5, 10, 20, 40, 80, 120, 150) min. adsorbent dose, contact time, temperature and ph were optimized by continuous variation method (studying one, while keeping the other parameters constant). after equilibrium, the solution was allowed to settle for 20-30 min, filtered by filter paper (whatman 542, england) and analyzed for lead. the difference in the lead content before and after adsorption experiments represents the amount of lead adsorbed by the adsorbent. all experiments were performed at room temperature (20 °c), ph 4 by the addition of hno3 or naoh solution. the percent removal of metal ions can be calculated by using the following equation: %removal = [(c0-ce)/c0] × 100 …(1) where, c0 = initial concentration of the metal ion in mg/l, ce = metal ion concentration at equilibrium in mg/l. 2.4. contact time batch adsorption tests were carried out at different contact time intervals (5 150 min) at initial pb (ii) concentration of 800 mg/l. this was done by contacting 2 g of each adsorbent with 100 ml of pb (ii) solution at the ph 4. the residual pb (ii) concentration in each solution was then filtered using filter paper (type: whatman 542, england) and analyzed using atomic absorption spectrophotometer. 2.5. adsorbent dosage 100 ml of the metal ion solution of (800 mg/l) was added to various amount of the several adsorbents (0.2-3 g) in 250 ml volumetric flasks and agitated for 2hr on a shaker. the content of the glass bottles were filtered and analyzed by the same procedure mentioned above. 2.6. ph variation the ph value of the solution is an important controlling parameter in the adsorption process, and the initial ph value of the solution has more influence than the final ph, which influences both the adsorbent surface metal binding sites and the metal chemistry in water [15]. the effect of ph on the adsorption of pb (ii) using bentonite and activated carbon (each one separately) was carried out within the range that would not be influenced by the metal precipitated [10]. it was reported that the suitable ph range for the adsorption of pb(ii) was (2 8). this experiment was conducted at 20 °c to study the effect of initial solution ph on the adsorption of pb(ii) by contacting 2 g of the adsorbent (bentonite or activated carbon) with 100 ml of 800 mg/l pb(ii) solution in a volumetric flasks. the ph of each solution was bassim hameed graimed al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48-56 (2013) 50 adjusted to the desired value with adding 0.1m hno3 and/or 0.1m naoh. the volumetric flasks containing the mixture were left in a shaker for 2h. solution was filtrated using filter paper and the pb(ii) concentration in the solution was analyzed by means of atomic absorption spectrophotometer. 2.7. agitation speed the effect of agitation of the sorbent/sorbate system for lead adsorption was monitored at (0, 100, 200, 300 and 400 rpm). 2.8. temperature variation the batch adsorption process was studied at different temperatures of 20, 30, 40, 50 and 60 °c in order to investigate the effect of temperature on the adsorption process using bentonite and activated carbon. this was done by contacting 2 g of adsorbents with 100 ml of 800 mg/l pb(ii) solution at ph 4 for 120 min with agitation speed of 200 rpm by using shaker incubator. the results were used to investigate the thermodynamics of the adsorption process. 3. kinetic equations the kinetics of lead adsorption on bentonite and activated carbon were analyzed using pseudo-first-order [4] and pseudo-second-order models [3], the pseudo-first order kinetic rate equation is: (dqt /dt)=k1(qe-qt) …(2) where k١ is the rate constant of pseudo first order adsorption (min-1 ), qe is the amount of lead sorbed at equilibrium (mg/mg) and qt the amount of lead sorbed at time t (mg/mg). integrating equation (2) for the boundary conditions t=0 to t= t and qt=0 to qt= qe and rearranging yields the linear time-dependent function. log(qe-qt) = logqe-(kt/2.303) …(3) the intercept of the straight-line plots of log (qe-qt) against t equal log qe , however, if the intercept does not equal qe, then the reaction is not likely to be first-order, irrespective of the magnitude of the correlation coefficient. the pseudosecondorder kinetic rate equation is: (dqt/dt)=k2(qe-qt)2 …(4) where k2 is the rate constant of pseudo second order adsorption (mg.mg-1.min-1).taking into account, the boundary conditions t=0 to t=t and qt=0 to qt=qt .the integrated form of equation (4) can be rearranged to obtain equation (5): (t/ qt)= (1/k2qe 2)+ (t/qe) …(5) the plot of (t/qt) and t of equation (5) gives a linear relationship, qe and k2 can be determined from the slope and intercept of the plot, respectively. 4. result and discussion 4.1. effect of contact time the effect of contact time on the adsorption of pb(ii) from the solution is shown in figure (1). fig. 1. time effect of the adsorption of pb(ii) onto bentonite and activated carbon at 20oc, ph 4, co=800 mg/l, rpm=200. it is observed that the removal of pb(ii) increased with increase in contact time. the adsorption of pb(ii) by the bentonite was rapid for the first 20 min as a result of available binding sites on the bentonite, while the adsorption by activated carbon was less rapid than bentonite. the adsorption reached equilibrium within 120 min as the binding sites on the bentonite and activated carbon were used up. the period of 120 min was therefore used for the adsorption of pb(ii) by bentonite and activated carbon. the initial fast removal occurs due to surface adsorption on the adsorbent. the subsequent slow phase occurs due to diffusion of the metal ions into the inner part of the adsorbent. bassim hameed graimed al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48-56 (2013) 51 4.2. effect of adsorbent dosage the adsorption of lead ions was observed to increase as the amount of adsorbent is increased gradually from 0.2 to 3.0 g, (figure 2). fig. 2. effect of adsorbent dose (ph =4, co = 800mg/l, rpm=200, time=2 h). the maximum removal is obtained at the adsorbent dose of 2.0 g where a further increase in the quantity of the adsorbent up to 2 g has no more effect to the adsorption rate. therefore, 2.0 g of the adsorbent is sufficient to adsorb the maximum ions and that the percent removal by bentonite was more than that of activated carbon. also the removal efficiency is associated with the adsorbent dose increases which are due to the availability of more adsorbing sites at higher doses. 4.3. effect of ph on adsorption the ph of solution was examined at different ph values, covering a range of 2.0-8.0. in the case of pb(ii) the maximum adsorption was obtained at ph 4.0 for both adsorbents. removal of pb(ii) onto bentonite and activated carbon is ph dependent as shown in figure (3). fig. 3. effect of ph on the adsorption of pb(ii) by bentonite and activated carbon, at 20°c , co= 800 mg /l, rpm=200. at ph < 3.0, h+ ions compete with pb(ii) ions for the surface of the adsorbent which would hinder pb(ii) ions from reaching the binding sites of the sorbet caused by the repulsive forces. at ph > 5.5, the pb(ii) will precipitate due to hydroxide anions forming a lead hydroxide precipitate. for this reason the maximum ph value was selected to be 4.0. the highest efficiency was observed 91.1 % at ph of 4.0 for bentonite and 37.5 % for activated carbon. change in ph of the solution after adsorption was observed in this study for example, the ph value changes from 4 to 3 for bentonite dose of 1.0 g, to ph value of 2.65 for bentonite dose of 2.0 g and to ph values of 2.1 for adsorbent dose of 3.0 g. in all cases, ph of the solution decreases after equilibrium was reached. therefore the study indicated that a change in ph value is dependent on the amount of adsorbent dose. thus higher the adsorbent dose the larger the change in ph until the equilibrium is attained. the study further alluded that adsorption of the metal ions on the surface could result in the release of more h+ ions from the surface, indicating ion exchange mechanism as shown from the decrease of the ph from the initial ph value. 4.4. effect of agitation speed experimental results of the effect of agitation speed (0,100, 200, 300, and 400) are presented in figure (4). it is obvious that agitation is found to be appropriate for maximum adsorption of lead from minerals. the removal of pb (ii) is reaching 99.3% and 42.5% using bentonite and activated carbon respectively at 400 rpm, figures (4 and 5). fig. 4. percentage removal of lead with various agitation speeds for bentonite. bassim hameed graimed al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48-56 (2013) 52 fig .5. percentage removal of lead with various agitation speeds for activated carbon. it can be seen that the removal percent increases with increasing agitation speed because increasing of agitation speed will decrease the boundary layer resistance, furthermore this experiment shows that the higher removal level reached by bentonite. 4.5. effect of temperature the extent of lead ion adsorption on the bentonite and activated carbon at various temperatures is shown in figures (6 and 7). fig. 6. effect of temperature (ph=4, adsorbent dose = 2 g, rpm=200, time = 2h). fig. 7. effect of temperature (ph = 4, adsorbent dose = 2 g, rpm=200, time = 2 h). as observed from the figures, temperature rises therein resulted in an increase in the removal a percentage of the metal. the enhancement of the adsorption capacity when temperature is increased could be due to increased mobility and diffusion of ionic species the adsorption experiment could be regarded as a heterogeneous and reversible process at equilibrium. the apparent equilibrium constant for the process is shown to be: kc = cad/ce ...(6) the gibbs free energy of the adsorption process [7] is: ag° = rt in kr ...(7) ag° is the standard gibbs free energy change for the adsorption process(j mol-1); r, the universal gas constant (8.314 j mol-1k-1) while t is the temperature (k). the effect of temperature on the adsorption of pb(ii) by bentonite and activated carbon is listed in table (1) and shown in figures (8 and 9). table 1, gibbs free energy values obtained from the adsorption of pb (ii) using bentonite and activated carbon at different temperatures. temperature (k) ag° (kj mor'k-1 ) bentonite activated carbon 293 -5.66 1.244 303 -6.93 1.245 313 -8.44 1.202 323 -10.45 1.198 333 -11.58 1.108 bassim hameed graimed al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48-56 (2013) 53 fig. 8. the gibbs free energy plot for the adsorption of pb(ii) using activated carbon at ph 4 , co= 800 mg/l, rpm=200. fig. 9. the gibbs free energy plot for the adsorption of pb(ii) using activated carbon at ph 4 , co= 800 mg/l, rpm=200. the free energy change (ag°) obtained for the adsorption of pb(ii) at 293 k, initial concentration of 800 mg/l, and ph 4 is (-5.66 and 1.244)kj mol-1 for bentonite and activated carbon respectively. the negative value of ag° obtained for the adsorption of pb(ii) onto bentonite shows spontaneity of the adsorption process at that temperature, opposite for activated carbon. however, the result in table (1) shows that the free energy values for bentomte and activated carbon decreases with increasing temperature. this implies that the spontaneity of the adsorption process increases with increasing in temperature. consequently, the adsorption of the pb(ii) using bentonite and activated carbon as adsorbents is endothermic hence the process is better carried out at kindly high temperature. from thermodynamics, ∆g° = ∆h -t∆s …(8) or ∆g° = ∆s (t) + ∆h …(9) a plot of temperature against ag° gives a straight line with slope as0 and an intercept of ∆h. in (figures 7 and 8) the slopes are (0.1536 and 0.0035) kj/mol while the intercepts are (39.465 and 2.197) kj/mol for bentonite and activated carbon respectively. therefore, the values of the entropy are (0.1536 and 0.0035) kj/mol and enthalpy are (39.465 and 2.197) kj/mol for bentonite and activated carbon, respectively. the decrease in the value of the free energy with increase in temperature indicates that the adsorption process is endothermic and it is thereby favored with kindly increase in temperature. 4.6. kinetic study it is clear from figures (10, 11, 12 and 13) and table (2) that the reactions for bentonite and activated carbon are not likely to be firstorder because of the value of qe (experimental) does not equal to the value of qe(theoretical), irrespective of the magnitude of the correlation coefficient, while the values of qe (experimental) and qe(theoretical) are very close with higher value of correlation coefficient in case of second order, therefore the adsorption processes followed well pseudo secondorder kinetics for the two adsorbents. fig. 10. pseudofirst order for bentonite. fig. 11. pseudosecond order for bentonite. bassim hameed graimed al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48-56 (2013) 54 fig. 12. pseudofirst order for activated carbon. fig. 13. pseudosecond order for activated carbon. table 2, constants of pseudofirst and second order. 5. conclusion the potential use of bentonite and activated carbon as an adsorbents for lead(ii) was studied. it was found that bentonite is more effective than activated carbon for removal high concentration of pb(ii) from aqueous solution, the maximum adsorption capacities for bentonite and activated carbon were 0.0364 and 0.015mg/mg, respectively. the percentage removal was strongly dependent on the adsorbent dosage, contact time, agitation speed and initial ph. the study of the thermodynamic parameters indicated that the adsorption process was thermodynamically spontaneous under natural conditions and the adsorption is endothermic in nature. the process kinetics was found to follow the pseudo-second order rate equation. 6. references [1] balkose, d.; balatacioglu, h. j. chem. technol. biotechnol. 1992, 54, 393. [2] farrah, h.; pickering, w.f. aus. j. chem. 1977, 30, 1417. [3] ho, y. s. (2006).review of second-order models for adsorption systems. j. hazardmater,, 136,681-689. [4] ho, y.s. (2004). citation review of lagergren kinetic rate equation on adsorption reactions. scientometrics, 59,171-177. [5] horsfall, j.m.; abia, a.a. water. res. 2003, 37, 4913 [6] johnson, p.m. mutat. res. 1998, 410, 123. [7] khan ar, tahir h, uddin f, hammed u (2005) adsorption of methylene blue from aqueous solution on the surface of wool fiber and cotton fiber, j. appl. sci. environ. manage. 9 (2): 29-35 [8] paulino, a.t.; simonato, j.i.; garcia, j.c.; nozaki, j. carbohydr. polym. 2006, 64, 98 [9] paulino, a.t.; tessari, j.a.; nogami, e.m.; lenzi, e.; nozaki, j. environ. contam.toxicol. 2005,75,42. [10] pavasant p, apiratikul r, sungkhum v, suthiparinyanont p, wattanachira s, marhaba tf(2006). biosorption of cu2+, cd2+,pb2+ and zn2+ using dried marine green macroalga caulerpa lentillifera. bioresour. technol. 97: 2321 – 2329 adsorbent qe(mg/mg) experimental pseudofirst – order pseudo – secondorder bentonite 0.0364 k1,(min)-1 0.073 qe, (mg/mg) 0.0177 r2 0.8619 k2, (mg.mg-1min-1) 7.2653 qe, (mg/mg) 0.037 r2 0.9992 activated carbon 0.015 k1,(min)-1 0.0347 qe, (mg/mg) 0.0031 r2 0.7659 k2, (mg.mg-1min-1) 67.768 qe, (mg/mg) 0.014 r2 0.9983 bassim hameed graimed al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 48-56 (2013) 55 [11] reddad, z.; gerente, c.; andeers, y.; pierrele, c. environ. sci. technol. 2002, 36, 2067. [12] robert, e.j.; rowland, s.p. environ. sci. technol. 1973, 7, 552. [13] tahir, s.s.; rauf, n. j. chem. thermodynamics 2003, 35, 2003 [14] tee, t.w.; khan, r.m. environ. technol. lett. 1988, 9, 1223. [15] waranusantigul, p.; pokethityook, p.; kruatrachue, m.; upatham, e.s. environ. pollut.2003,1,385. [16] who guideline values for drinking water quality, vol. 1, recommendations, world health organization: geneva; 1984; p. 81. )2013( 4856، صفحة 2، العدد9مجلة الخوارزمي الھندسیة المجلد باسم حمید جریمد 56 من محلول مائي ) ii(ة الحراریة والحركیة المتزاز الرصاص یالدینامیكالخواص دراسة الكاربون الفعالباستخدام البنتونایت و **زیاد طارق عبد علي *باسم حمید جریمد جامعة بغداد* جامعة بغداد / قسم الھندسة البیئیة ** bassim.hameed@yahoo.com : االلكتروني البرید* z.teach2000@ yahoo.com : االلكتروني البرید** الخالصة ، phتأثیر كل من الحامضیة دراسةكما تم . كمواد مازه الفعال و الكاربون البنتونایتباستخدام (ii)الرصاص امتزاز ایوناتتم التحري عن لكاربون الفعال ولبنتونایت و اامتزاز ل بلغت اعلى نسبة. درجة الحرارة باستخدام تجارب االمتزاز الكتليوفترة التماس، و، وكمیة المادة المازة ، في طاقة جبس الحرة الحراریة الحركیة لعملیة االمتزاز كالتغیر وكذلك تم دراسة الخواص. ملغم مادة مازة على التوالي/ ملغم ٠.٠١٥و ٠.٠٣٦٤ تلقائیة تحت االنتروبیة وقد تبین عند دراسة الخواص الحراریة الحركیة اعاله بان عملیة االمتزاز ھي عملیة حراریة حركیة و األنثالبیة والتغیر في وأخیرا تم دراسة الطاقة الحركیة لالمتزاز وبعد تحلیل النتائج تبین ان حركیة االمتزاز تتوافق مع الحركیة . الظروف االعتیادیة وإنھا ممتصة للحرارة . االمتزازیة من الدرجة الثانیة mailto:bassim.hameed@yahoo.com al-khwarizmi engineering!!! journal al-khwarizmi engineering journal, vol. 7, no. 2, pp 83 90 (2011) الضوضاء الناتجةشّدة دراسة تأثیر اضافة االیثانول الى الكازولین على بالشرارة یعمل أحادي االسطوانة من محرك عادل محمود صالح جامعة التكنولوجیةال /المعداتقسم ھندسة المكائن و del196150@yahoo.coma: البرید االلكتروني (received 10 january 2011; accepted 26 may 2011) الخالصة بالصوت غیر (، ویمكن تعریف الضوضاء ١٩٩٠ابتداءا من عام الضوضاء الناتجة عن المحركات واألنواع المختلفة من االنظمة كملوث عتبرت ویوجد في عدة دول .، وتنتج المحركات الكبیرة مستویات عالیة من الضوضاءھصحال علىه خطر ھاعالیة یمكن اعتبارالمستویات الوفي ،)مرغوب بھال من السیارات الضوضاء الناتجة دمغلقة في السفن والتطبیقات الثابتة، وتعالمحركات القوانین تحدد المستویات المقبولة من الضوضاء المسموح بھا في غرف .التقنیات القادرة على التحكم و السیطرة علیھالوجود أقل تأثیرا ذو اسطوانة واحدة یعمل باضاقة االیثانول الى الكازولین، وأخذت البیانات لسرع متعددة، بدون محرك احتراق داخلي على دراسة أجریت بحثفي ھذا ال المنبعث الصوت طبیعة نأستخدام عازل صوتي ومع استخدام عازل وعازلین، أظھرت النتائج ، وبدون ا%٢٠و ١٠اضافة ومع اضافة ایثانول بنسبة ثبتت أن اضافة الكحول ال تؤثر كثیرا على مقدار الصوت المنبعث من المحرك، كما أن الضوضاء تزید بزیادة عدد دورات المحرك، وأحادي القطب، كما أ .لیل الضوضاء بنسبة عالیةالدراسة أن استخدام عازل صوتي واحد یكفي لتق .الضوضاء في المحركات :المفتاحیة لكلماتا المقدمة.١ تستلمھ ،الصوت ھو االضطراب المنتقل خالل وسط فیزیاوي یط ــاالذن البشریة كموجة ضغطیة مضافة الى ضغط الھواءالمح دي ــــــوت التباین التزایــــغط الصـلذلك یمثل ض ،تمعـــبالمس sound)یطــوي لذلك المحــــغط الجــن الضـــع transmission class, 2005). إن سماع االنسان للصوت ال یعود فقط الى تمتعة بجھاز ناقل المادي اللوسط لالسمع ذو التركیب الخاص، وإنما كذلك فبدون وسط مادي ال یمكن للصوت الوصول الى ،للصوت إن والضوء، ة حالالسامع، فالصوت ال ینتقل بالفراغ كما في سماعنا للصوت من أي مصدر خارجي یعود بفضل وجود الھواء وجمیع الغازات والسوائل واالجسام الصلبة تصلح النتقال ،حولنا الصوت ولكن بسرع مختلفة وحسب الوسط الناقل لھ (adams, 2006). إن االذن البشریة تسمع االصوات التي یقع ترددھا ضمن ، لذا یتطلب توفر وسیط و مصدر)ھرتز ٢٠٠٠٠الى ٢٠(المدى ضغط یقاس الصوت بمستوىو، )االذن البشریة(مستقبل و :الصوت والذي یعرف بالمعادلة التالیة s.p.l= 20log p/po الضغط poحیث ، decibel (db)مقاسا بوحدات الدیسیبل وتي مسموع صویمثل أقل ضغط n/m2 2*10-5المرجعي ,al-ati]لعتبة السمع 2006]. الصوت غیر المرغوب فیھ ویسبب ب فتعرف الضوضاءأما االزعاج ویؤثر في حالة االنسان النفسیة وجھازة السمعي (guide to acoustics, 2006). یبین مستویات الضوضاء لغرض التصمیم ةالتالی التصنیفاتو :(hz 100-920)مقاسة عند التردد db 115 مؤلم db 100 مزعج جدا db 70 مشوش 60 لكالممدى ا db db 30 المستحب مستوى الصمت db 20 یسمع بالكاد :تقسم الضوضاء الى صلبة تنشأ عن اھتزاز االجسام ال( الضوضاء المیكانیكیة أ .)بتردد یصل الى مدیات مسموعة وسبب االھتزاز میكانیكي :، وتنقسم الى نوعینضوضاء الموائع ب یر في ضغط الھواء مقاسا الى غت(ضوضاء الدیناھوائیة .١ ).معدل ضغط الھواء او بسبب الجریان المضطرب تنتج ھذة الضوضاء نتیجة : رودینامیةدیاالضوضاء الھ.٢ مع الزمن في مائع ما فعالیة تعطي مجال ضغط متغیر .ستاتيقیاسا الى معدل الضغط األ :ویمكن تقسیم أنواع الضوضاء بشكل آخر  الضوضاء المستمرة(continuous noise)  الضوضاء المتقطعة(intermitted noise) this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ 90 ، صفحة2، العدد 7مجلة الخوارزمي الھندسیة المجلد عادل محمود صالح 83 )2011( 84 الصوت، ) كالھواء(تسبب الموجات الضغطیة في وسط مرن زات تسبب ویولد بواسطة اھتزاز أجزاء المحرك، ھذة االھتزا ذن أالى نبضات ضغط في الھواء، وھذة النبضات تنقل الطاقة االنسان، وكلما زادت الطاقة المنقولة، ارتفع الضجیج، ولحسن الحظ ان االذن البشریة لیست حساسة جدا، ولذلك فان المقیاس الكمي ھو مقیاس لوغارتمي بوحدات دیسیبل، فللمحادثة االعتیادیة یل، وتبدأ االذن باالحساس بااللم بدیس ٥٥صوت بحدود المستوى قوانین الیل، والعدید من بدیس ١١٥عند بلوغ الصوت مستوى ١١٠سمحت بضجیج لغایة وحددت الصوت لغرف المحركات .(guide to acoustics, 2006) دیسیبل إن حساسیة االذن البشریة مرتبطة بشكل كبیر بذبذبة لعالمیة الى ثالث فئاتالصوت، ولھذا السبب، تقسم المعاییر ا a ،b وc ،كل واحدة منھا مرتبطة بمجال محدد من الذبذبات ، حدد مستوى المقبول للضجیج اثناء قیادة ففي الوالیات المتحدة بة عند وھذا المعیار یجب العمل. (a)یل بدیس ٧٤العربة بحدود تصمیم سیارات في مساحات مثل مكان كاتم الصوت وانبوب .(reno, 2007). مالعاد تتولد الضوضاء بطرق عدة في محركات االحتراق الداخلي، حاقنات في لدخول والعادم، اغازات نبضات ضغطیة في مجرى ك ئدة، اضافة الى السالسل القاالشاحن الجبري، القوایش وو ،الوقود اذا لم یحتوي نظام العادم و لمحرك،ان مكونات االھتزاز الناتج م فان الضوضاء المتولدة ستكون ،جزاء مرنةأعلى كاتم صوت و .(berendt, 1976) مشكلة حقیقیة دراسة للضوضاء jones & brownأجرى الباحثان تحداث ـــباسالمنبعثة من منظومة عادم في محرك ثنائي االشواط اء العادم ـــحیث تم افتراض ضوض ائیةـــاحص تقنیة بــادي القطــحدر اــتراض ان المصــة بافـــــــــالمنبعث (jones& brown, 1983). اھتم بقیاس منسوب الضغط فقد stanianoاما الباحث الصوتي للمركبات قبل وبعد صیانة انظمة العادم فیھا داخل ورش ن القیاسات لمنسوب الضغط أووجد الباحث ،صیانة انظمة العادم (db 6-3)قدار الصوتي عند انبوب الخروج اوضحت تخفیض بم ن الضوضاء في محركات ذات ثمانیة أكما ،حسب نوع المحرك اسطوانات اكثر مما علیة لمحركات ذات أربعة اسطوانات (staniano, 1983). دراسة تأثیر محرك الدیزل على األذن البشریة ومدى التغیر ول ا في طبیعة الصوت والذي یسبب األزعاج وما یولده استنتج إن الزیادة في الضوضاء kantarelis & walkerالباحثان ناتجة عن زیادة سرعة المحرك، وإنھ یمكن تقلیل الضوضاء الف التصامیمــــــــــباخت 8db-5بة من ـــــــبنس (kantarelies &walker, 1988). ثیر الضوضاء المنبعثة من أت درستفقد wafaaاما الباحثة والضوضاء المنبعثة من مروحة تبرید ،محرك احتراق داخلي یھدف بحثھا و ،غازات العادم، وتحدید طبیعة المصدر الصوتي ازات ــومة غــوتیة لمنظــواص الصــة تأثیر الخــدراس الى وذج ـــمیم وبناء نمــالل تصـــــــــرك من خــادم لمحــالع .(wafaa m salih, 1999) ةـــمنظوملل التأثیرات األھتزازیة للكتل والقوى lighthillدرس الباحث أن اجھاد القص األضطرابي یمكن كمصادر ضوضاء، واستنتج ان یكون مصدرا للضوضاء، واشتق معادلة تجمع بین معادالت :األستمراریة والزخم في معادلة الباحث تمثل الحدود الثالثة على الطرف األیمن lighthill الصوتي، فالحد مصادر الصوت السائدة لالشعاع ، أما الحد (monopole)یمثل مصدرا أحادي القطب األول فیمثل مشتقة القوى الالثابتة ولھ خاصیة مصدر ثنائي الثاني ، أما الحد األخیر فلھ خواص مصدر رباعي (dipole)القطب .(lighthill, 1952) (quadrupole)القطب ,ahmed) ا ألنواع مصادر الصوتمخطط ١یوضح الشكل 2010) . .أنواع المصادر التي تولد الضوضاء -١-الشكل العملي الجانب.٢ وملحقاتھ المحرك.١.٢ حادي أمحرك احتراق داخلي في ھذا البحث استخدم رباعي االشواط یعمل بنسب انضغاط ،االسطوانة یعمل بالشرارة كما ھو موضح ،variable compression ratiosمختلفة ایطالي (ma230/a91/001)نوع المحرك ،٢بالشكل رقم یبرد بالماء، ومزود بدینامومیتر (prodit)الصنع انتاج شركة انتاج شركة (gr306/000/ 037a)ھایدرولیكي نوع (prodit). صورة للمحرك المستخدم في البحث مع ٢یبین الشكل .ملحقاتة .صورة جھاز المستخدم بالبحث -٢-كل الش this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ 90 ، صفحة2، العدد 7مجلة الخوارزمي الھندسیة المجلد عادل محمود صالح 83 )2011( 85 أجھزة القیاس .٢.٢ speed transducerمقیاس السرعة .١.٢.٢ لقیاس optical encodingتم استخدام المتحسس الضوئي عدد دورات المحرك حیث یأخذ االشارة من المحرك الى لوحة .السیطرة والحاسوب torque transducerمقیاس العزم .٢.٢.٢ strainاستخدم متحسس gauge لقیاس العزم إذ ینقل االشارة لألحمال المتغیرة بواسطة سلك الى لوحة السیطرة كما في الشكل وتمت معایرة الجھاز قبل التجارب للتأكد من سالمة عملھ .على الذراع األثقالباستخدام طریقة مقیــاس مســـــتوى ضــــغط الصــــــــــوت .٣.٢.٢ sound pressure level metering بواسطة المقیاس over all sound pressureتم قیاس precision sound level meter type 2209 مزود بالقطة microphone كما یوضح الشكل وتم معایرة (4615)من طراز )من طراز calibratorالجھاز بواسطة مقارن معیاري pistophone 4220). .المستخدم في القراءاتصورة للجھاز ٣یبین الشكل مقیاس مستوى ضغط الصوت المستخدم في البحث ٣-الشكل (overall sound pressure ). العازل الصوتي.٤.٢.٢ وایضا (mm 16)تم استخدام عازل صوتي من الفلیین سمكھ لبیان تأثیر العزل على شدة (6mm)عازل من الزجاج سمكة .المحرك الضوضاء المنبعثة من خطوات العمل وتسجیل القراءات.٣.٢ تضمن الجانب العملي اجراء تجارب لثالثة مراحل، تركزت االولى حول دراسة الضوضاء المنبعثة من المحرك عند سرع ، وبدون اضافة (rpm 1900-1200)متغیرة، تراوحت ما بین واجریت نفس التجارب . كحول وبأحمال مختلفة وبدون عازل عازل الفلیني، وسجلت قراءات شدة الضوضاء بوجود باستخدام ال العازل الفلیني، وبعدھا باستخدام عازلي الزجاج والفلیین مع وجود .سم ١٠فراغ بینھما بسمك من كحول % ١٠اما المجموعة الثانیة فقد تضمنت اضافة االیثانول الى الوقود المستخدم، واعادة التجارب بنفس نسق .المرحلة االولى من االیثانول الى % ٢٠تضمنت المجموعة الثالثة اضافة باستخدام الوقود المستخدم، واعادة نفس التجارب للمرحلة االولى مقیاس مستوى ضغط الصوت لقیاس الضوضاء المنبعثة من وعلى ) ٩٠°، ٤٥°، ٠بزوایا (محرك األحتراق وبثالثة اتجاھات ت المنبعث متر من مركز المحرك لمعرفة طبیعة الصو ١بعد . lighthillومطابقتھ مع نظریة الباحث مخطط لمقطع عرضي یوضح وضع العوازل حول المحرك ٤-الشكل .لقیاس شدة الضوضاء المنبعثة من المحرك النتائج والمناقشة.٣ ø)ثیر زاویة القیاس أت.١.٣ على شدة الضوضاء ( حرك تم رسم لبیان ومعرفة طبیعة الصوت المنبعث من الم angle) اتجاة الالقطة او االتجاھیةن ــبی )٧و ٦، ٥(العالقات of directivity) وجود یالحظ ،مع مستوى ضغط الصوت عند تغیر زاویة ،)مستوى ضغط الصوت(فارق طفیف في مقدار ن أوھذا یعني ،ولنفس عدد الدورات ،القیاس عند االحمال المختلفة lighthillحسب تعریف ي القطبحادأالمصدر المنبعث مصدر ° ٩٠ألنواع مصادر الضوضاء، ولذا تم تثبیت زاویة القیاس ن الضوضاء تزداد مع أ، مع مالحظة عمودي على اتجاه الجریان .زیادة عدد دورات المحرك عالقة مستوى ضغط الصوت مع عدد الدورات.٢.٣ العالقة بین مستوى ضغط الصوت مع ) ٨(یالحظ من الشكل والحمال مختلفة ولعدد دورات مختلفة، ،سرعة المكبسمتوسط ن یبین الشكل أ ،لنفس الدورة) من أقل حمل ألقصى حمل( ي تغیر في أن أوھذا یؤكد الضوضاء تزداد بزیادة عدد الدورات، إذ تزداد .سرعة المحرك تؤدي الى تغیر في مقدار الضوضاء م اثبات أن ت دراسةال ةالضوضاء بزیادة السرعة ، ومن خالل ھذ .یؤدي الى تغیر في مقدار الضوضاءأي تغیر في السرعة this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ 90 ، صفحة2، العدد 7مجلة الخوارزمي الھندسیة المجلد عادل محمود صالح 83 )2011( 86 العالقة بین زاویة الالقطة أو االتجاھیة ومستوى ضغط -٥الشكل .الصوت عند عمل المحرك بدون عازل العالقة بین زاویة الالقطة أو االتجاھیة ومستوى ضغط -٦الشكل .ند عمل المحرك بعازل واحدالصوت ع العالقة بین زاویة الالقطة أو االتجاھیة ومستوى ضغط -٧الشكل .الصوت عند عمل المحرك بعازلین العالقة بین مستوى ضغط الصوت وسرعة المحرك عند -٨-الشكل .عمل المحرك بدون اضافة ایثانول وبدون عزل مستوى ضغط الصوت مع الوقود المستخدمعالقة .٣.٣ ن اضافة الكحول تؤدي أ) ١١و ١٠ ،٩(یالحظ من االشكال ولكن ،الى زیادة مستوى ضغط الصوت عند نفس عدد الدورات ن اضافة الكحول ال تؤثر كثیرا على یعني أھذا و ،بنسبة قلیلة .مقدار الصوت المنبعث من المحرك شدة الضوضاء تأثیر وجود الجدار العازل على .٤.٣ أن الضوضاء تنخفض ) ١٤و ١٣، ١٢(یالحظ من االشكال بمقدار واضح باستخدام عازل الفلیین، وھذا یعني كفاءة عزل صوتي جیدة، وبالتالي یمكن االستفادة من ھذا العمل لبیان مقدار ثأثیر العزل على تقلیل الضوضاء الصادرة من المصدر على .لةالمستمع، وضمن المدیات المقبو العالقة بین مستوى ضغط الصوت وسرعة المحرك عند -٩-الشكل .ایثانول وبدون عزل% ١٠عمل المحرك باضافة this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ 90 ، صفحة2، العدد 7مجلة الخوارزمي الھندسیة المجلد عادل محمود صالح 83 )2011( 87 العالقة بین مستوى ضغط الصوت وسرعة المحرك عند -١٠-الشكل .ایثانول وبدون عزل% ٢٠عمل المحرك باضافة العالقة بین مستوى ضغط الصوت وسرعة المحرك عند -١١-كل الش .عمل المحرك بدون اضافة ایثانول وبعازل واحد العالقة بین مستوى ضغط الصوت وسرعة المحرك عند -١٢-الشكل .عمل المحرك بدون اضافة ایثانول وبعازلین ھیة ومستوى ضغط الصوت عند سرعة العالقة بین االتجا ١٣-الشكل .rpm 1700محرك العالقة بین االتجاھیة ومستوى ضغط الصوت عند سرعة ١٤-الشكل .، بدون اضافة ایثانولrpm 1700محرك العالقة بین االتجاھیة ومستوى ضغط الصوت عند سرعة ١٥-الشكل .ایثانول% ١٠ة ، باضافrpm 1700محرك this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ 90 ، صفحة2، العدد 7مجلة الخوارزمي الھندسیة المجلد عادل محمود صالح 83 )2011( 88 العالقة بین سرعة المحرك ومستوى ضغط الصوت عند -١٦-الشكل .ایثانول%) ٢٠و ١٠، ٠( عمل المحرك بدون عازل وبنسب خلط شدة الضوضاء ىتأثیر استخدام جدارین عل.٥.٣ تأثیر استخدام جدار الفلیین ) ١٦و ١٥(یالحظ من االشكال على شدة الضوضاء المنبعثة من ،راغ ما بینھماوجدار الزجاج والف زل بحیث تكون قیمة الضوضاء عوبیان ارتفاع كفاءة ال ،المحرك .ضمن المنسوب المستحب للمستمع االستنتاجات.٤ أن مصدر المنبعث للمحرك المستخدم ھو مصدر أحادي .١ .القطب الضوضاء بزیادة عدد الدورات، وھذا یعني ان اي تزداد.٢ ة المحرك تؤدي الى تغیر في مقدار تغیر في سرع .الضوضاء لى زیادة مستوى ضغط الصوت تؤدي إاضافة الكحول إن.٣ .ولكن بنسبة قلیلة ،عند نفس عدد الدورات اضافة الكحول كثیرا على مقدار الصوت المنبعث ال تؤثر .٤ .من المحرك ،الضوضاء بمقدار واضح باستخدام عازل الفلیین تنخفض.٥ .العزل الصوتي تزداد ن كفاءةأوھذا یعني ن یزید من كفاءة العزل، ویقلل من أتغییر نوع العازل یمكن .٦ .الضوضاء ضمن المنسوب المقبول من المستمع قائمة الرموز p ضغط الصوتn/m2 po ضغط الصوت المرجعيn/m2 s.p.l مستوى ضغط الصوت(db) t الزمنsec co سرعة الصوت في المحیط م المنتظ m/sec q المعدل الزمني لتولید واختفاء kg/m2secالكتلة لوحدة الحجم f i معدل القوى لوحدة الحجمn/m3 i,j األتجاھات قائمة الرموز الالتینیة ρ الكثافةkg/m3 kg/m3القیمة التذبذبیة للكثافة المصادر.٥ [1] sound transmission class, science and engineering encyclopedia version 2.1, 2005, on line report www.direcdelta.co.uk [2] robert adams, noise and directivity tests, honda eu2000i generators in single and parallel operation pincor 2000w contractor generator, 2006. [3] al-ati a i, a study of transmission of normal sound waves through a specific multimedia, m. sc. thesis, university of technology, baghdad, iraq, 2006. [4] guide to acoustics, dow chemical company kingdom of saudi arabia, 2006. on line report: http www.dow.com [5] reno n, 2007. a comparison of green and conventional diesel bus noise levels, noiseconv 2007, october 22-24. [6] berendt r d, "quieting a practical guide to noise control", government printing office washington, 1976. [7] jones a d and brown g l, determination of two stroke engine exhaust noise by the method of characteristics, journal of sound and vibration, vol. 90, no.4, 22 october 1983. [8] staniano m a, vehicle sound level reduction due to repair of defect exhaust system, noise control engineering journal issn 0736, vol.21, no. 2, 1983. [9] kantarelies c and walker j g, the identification and subjective effect of amplitude modulation in diesel engine exhaust noise, journal of sound and vibration, vol. 120, no. 2, 1988. [10] salih w m, the scientific technology to study the influence of noise characteristics for the energy exhaust system, degree of m. sc. thesis, university of technology, baghdad, iraq, 1999. [11] lighthill m j, on sound generated aerodynamically, i: general theory, procthis page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ 90 ، صفحة2، العدد 7مجلة الخوارزمي الھندسیة المجلد عادل محمود صالح 83 )2011( 89 royal soc, london, a211, ppp564-587, 1952. [12] ahmed h a, study of methanol alcohol addition influence on spark ignition engine performance and exhaust emission & noise, m. sc. thesis, university of technology, baghdad, iraq, 2010. this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ adel mahmoud saleh al-khwarizmi engineering journal, vol. 7, no. 2, pp 83 90 (2011) 90 study of adding ethanol to gasoline effects on produced noise intensity of single cylinder spark ignition engine adel mahmoud saleh department of machines and equipments engineering/ university of technology email: adel196150@yahoo.com abstract since 1990 internal combustion engines and variable systems has been considered as emission. noise can be defined as undesirable sound, and in high levels it can be considered ahealth hazard. large internal combustion engines produce high levels of noise. in many countries there are laws restricting the noise levels in large engine rooms and fixed applications. locomotives engines have the minimum emission influence because of noise control techniques capability. in this paper study on a single cylinder internal combustion engine was conducted. the engine works by adding ethanol to gasoline, at variable speeds, without adding ethanol, and with adding 10 and 20% ethanol in volumetric ratio. using one sound insulator or two or without using sound insulator. the results show that noise increased with engine speed increase. adding ethanol didn't affect noise produced by engine. the study demonstrates that using one insulator is enough to reduce noise with high percentage. this page was created using nitro pdf trial software. to purchase, go to http://www.nitropdf.com/ http://www.nitropdf.com/ هشام حسن al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) estimated outlet temperatures in shell-and-tube heat exchanger using artificial neural network approach based on practical data hisham hassan jasim department of mechatronics engineering/ al-khwarizmi college of engineering/ university of baghdad (received 4 june 2012; accepted 8 april 2013) abstract the objective of this study is to apply artificial neural network for heat transfer analysis of shell-and-tube heat exchangers widely used in power plants and refineries. practical data was obtained by using industrial heat exchanger operating in power generation department of dura refinery. the commonly used back propagation (bp) algorithm was used to train and test networks by divided the data to three samples (training, validation and testing data) to give more approach data with actual case. inputs of the neural network include inlet water temperature, inlet air temperature and mass flow rate of air. two outputs (exit water temperature to cooling tower and exit air temperature to second stage of air compressor) were taken in ann. 150 sets of data were generated in different days by the reference heat exchanger model to training the network. regression between desired target and prediction ann output for training , validation, testing and all samples show reasonably values are equal to one (r=1) . 50 sets of data were generated to test the network and compare between desired and predicated exit temperature (water temp. and air temp.) show a good agreement ( %.30± ). keywords: artificial neural network, shell-and-tube heat exchanger, outlet temperatures, training, validation and testing. 1. introduction heat exchangers are devices that facilitate the exchange of heat between two fluids that are at different temperatures while keeping them from mixing with each other. heat exchangers are commonly used in practice in a wide range of applications, from heating and air conditioning systems in a household, to chemical processing and power production in large plants. different heat transfer applications require different types of hardware and different configurations of heat transfer equipment. the most common type of heat exchanger in industrial applications is the shell-and-tube heat exchanger. analysis of heat exchanger needs some steps like the choice of a method of solution (lmtd or ntu) based on the type of application, consideration fitted with environment of work and determine the fouling factor and correction factor from figures or experimental correlation. all these steps give result with some error whene compared with actual case. a number of experimental and numerical researches on the heat exchanger characteristics have been conducted for several decades. jian-fei zhang [1] presented 3d numerical simulation of a whole heat exchanger with middle-overlapped helical baffles which is carried out by using commercial codes of gambit 2.3 and fleunt 6.3. the validation of the computational model is performed by comparing the total pressure drop and average nusselt number of the whole heat exchanger with experimental data. reasonably good agreement is obtained. yusuf ali kara[2] presented the program determines the overall dimensions of the shell, the tube bundle, and optimum heat transfer surface area required to meet the specified heat transfer duty by calculating minimum or allowable shell-side pressure drop. nasser ghorbani[3] presented an experimental investigation of the mixed convection heat transfer in a coil-in-shell heat hisham hassan jasim al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) 13 exchanger. the calculations were performed for the steady-state and the experiments were conducted for both laminar and turbulent flow inside coil .the results indicated that the ε−ntu relation of the mixed convection heat exchangers was the same as that of a pure counter-flow heat exchanger. the computational intelligence (ci) techniques, such as artificial neural networks (anns), have been successfully applied in many scientific researches and engineering practices. several investigators have proposed (ann) modeling with experimental or theoretical work for thermal engineering application. g.n. xie[4]presented artificial neural network (ann) for heat transfer analysis of shell-and-tube heat exchangers with segmental baffles or continuous helical baffles. limited experimental data was obtained for training and testing neural network configurations. the maximum deviation between the predicted results and experimental data was less than 2%. comparison with correlation for prediction shows superiority of ann. dheerendra vikram singh[5] compare performances of three training functions (trainbr, traincgb and traincgf) used for training neural network for predicting the value of the specific heat capacity of working fluid. the comparison is shown on the basis of percentage relative error, coefficient of multiple determination r-square, root mean square error and sum of the square due to error. the goal of this study is to built artificial neural network based on actual data to training model of shell and tube heat exchanger by dividing the data to three samples (training , validation and testing data ) to give more approach data with actual case. two outputs (exit water temp. and exit air temp.) were taken in ann because of importance them for cooling tower and air compressor connected with the heat exchanger. 2. heat exchanger database modeling sufficient data samples are necessary for nn model development. it is almost needed to take more accuracy data from actual cases to represent any model. shell-and-tube heat exchanger working in dura refinery used as reference model to result sufficient data for nn training and testing. air represented one of the important working substance used in many devices in dura refinery especially in power service department. multi stage air compressor was used to produce pressurized air. when the air is inter to each stage of air compressor, its pressure and temperature will increase. therefore should be used heat exchanger to decrease air temperature before the next stage to safe the parts of air compressor. fig.(1) show the shell-and-tube heat exchanger use in practical work. heat exchanger have the following specification: mass flow rate of water is (7 kg/s) diameter of shell is (609.6mm), one pass flow of shell (for air flow), two pass flow of tube (for water flow), diameter of tube is (15.9mm), number of tube is (46), the tubes contain aluminum fins with (0.22mm) thickness, the material of shell and tube is carbon steel, and length of tube (2134mm). [6] the heat exchanger performance data with different state parameters are generated by the validated reference model. in total, 200 sets of data were generated in different days by the reference heat exchanger model. the data range used for neural network training and testing is listed in table (1). table 1, data range of input and output parameters. range input parameters co3828− iwt ) co165155− iat ) skg /4.23.2 − am• range output parameters co4838 − ewt ) co6454 − eat ) hisham hassan jasim al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) 14 fig. 1. shell-and-tube heat exchanger use in practical work (power generation department in dura refinery). 3. input and output parameters proper selection of input and output parameters is the first step of nn model development shown in fig (2). input parameters for heat exchanger neural network modeling include inlet water temperature iw )t , inlet air temperature ia )t , air flow rate am• . output parameters include exit water temperature ew )t and exit air temperature ea )t . ew )t and ea )t are very important output parameters for two reasons, firstly because output parameters selection in this study refer to performance level of heat exchanger operation, secondly because the known ew )t necessary to calculate air flow rate needed to cool warm water in cooling tower connected with heat exchanger and the known ea )t important for calculate the change in water flow rate of heat exchanger to avoid the danger limits of air temperature exit when the air enter to next stage of air compressor. fig. 2. input and outlet properties of heat exchanger use in practical work with general dimension. 4. neural network modeling the type of neural network used in this study is the multilayer neural network (mlnn) with a feed forward back propagation learning rule. input vectors and the corresponding target vectors are used to train a network until it can approximate a function. a feed-forward network has a layered ( l ) structure as shown in fig.(3) . each layer consists of units which receive their input from units from a layer directly below and send their output to units in a layer directly above the unit. there are hisham hassan jasim al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) 15 no connections within a layer. the in inputs are fed into the first layer of 1,hn hidden units. the input units are merely 'fan-out' units; no processing takes place in these units. the activation of a hidden unit is a function if of the weighted inputs plus a bias. the output of the hidden units is distributed over the next layer of 2,hn hidden units, until the last layer of hidden units, of which the outputs are fed into a layer of on output units. [7] fig. 3. a multi-layer network with l layers of units. depending on delta rule, the activation is a differentiable function of the total input, given by: [8]. …(1) in which …(2) where: =j number of element (neuron) j,.......,j 1= =k number of element (neuron) k,.......,k 1= =p input pattern vector =p ky the activation values of the network when input pattern vector p was input to the network. =p ks the input to a set of neurons when input pattern vector p is clamped. =p jy the activation values of element j of the network when input pattern vector p was input to the network; =jkw the weight of the connection from unit j to unit k =kθ the biases to the units. =f the activation function. to get the correct generalization of the delta rule we must set …(3) the error measure pe is defined as the total quadratic error for pattern (p) at the output units: …(4) where =o an output unit. =γ constant of proportionality. =∆p modified of pattern p. =p od the desired output of the network when input pattern vector p was input to the network. =p oy the activation values of the network when input pattern vector p was input to the network. …(5) where =p kδ product of two factors. one factor reflects the change in error as a function of the output of the unit and one reflecting the change in the output as a function of changes in the input. assume firstly. …(6) )( pp ksfky = k p jy j jkwp ks θ+∑= jk p jkp w ew ∂ ∂ −=∆ γ ∑ = −= on p o p o p )yd(e 10 2 2 1 p j p kjkp yw δγ=∆ )s(f)yd( p o p o p o p o −=δ ok = hisham hassan jasim al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) 16 and secondly assume where a hidden unit ..(7) equations (6) and (7) give a recursive procedure for computing theδ 's for all units in the network, which are then used to compute the weight changes according to equation (5). this procedure constitutes the generalized delta rule for a feed-forward network. working in back-propagation should by used the all above equations and the steps of solution are clarified in the following. when a learning pattern is clamped, the activation values are propagated to the output units, and the actual network output is compared with the desired output values, we usually end up with an error in each of the output units. we have to bring the error to zero. the application of the generalized delta rule thus involves two phases: during the first phase the input x is presented and propagated forward through the network to compute the output values p oy for each output unit. this output is compared with its desired value od , resulting in an error signal p oδ for each output unit. the second phase involves a backward pass through the network during which the error signal is passed to each unit in the network and appropriate weight changes are calculated. there are generally seven steps in the training process working in back propagation: [9] 1. start with random weights for the connections 2. select an input vector x from the set of training samples 3. the weight of a connection is adjusted by an amount proportional to the product of an error signalδ , in the unit k the input and the output of the unit j are received sending this signal along the connection. 4. calculate the error signal after choice the activation function. 5. the error signal for a hidden unit is determined recursively in terms of error signals of the units to which it directly connects and the weights of those connections. 6. the learning procedure requires that the change in weight is proportional to w e p ∂ ∂ . true gradient descent requires that infinitesimal steps are taken. the constant of proportionality is the learning rateγ . 7. make the change in weight dependent of the past weight change by adding a momentum term: …(8) where =α modified weight connection. =t time. 5. neural network training in artificial neural network all data are divided to three kinds of samples. the first kind (training) presented to the network during training, and the network is adjusted according to its error. the second kind (validation) used to measure network generalization, and to halt training when generalization stops improving. the third kind (testing) has no effect on training and so provides an independent measure of network performance during and after training. [10] agood network should includ small mean square error (mse) for training data performance and validation data performance. 150 sets of data were generated by the reference heat exchanger model use to train the network. here, the neural network with 1-3 layers (hidden layer), 2-16 neurons is studied and results mean square error for training and validation are provided in table ( 2 ). it 'is clear that 3 layers with 3 neuron ( iw )t , ia )t and am• ) in input layer , 16 neurons in hidden layers ,and 2 neuron ( ew )t and ea )t ) in output layer have less error approach to zero. )t(wy)t(w jk p j p kjk ∆+=+∆ αγδ1 hk = ∑ = = on o ho p o p h p h w)s(f 1 δδ =h hisham hassan jasim al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) 17 table 2, results of neural networks. no. of layer no. of neuron type of (mse) 1 2 3 2 performance training validation training 5.9*10^-8 9.1*10^-8 8.1*10^-9 5.5*10^-9 5.6*10^-12 5.4*10^-13 3 performance training validation training 1.5*10^-9 8.3*10^-10 3.2*10^10 2.1*10^10 6.2*10^-12 5.8*10^-13 4 performance training validation training 5*10^-10 9.5*10^-10 2.4*10^-11 1.65*10^-11 7.1*10^13 8.2*10^14 6 performance training validation training 4.3*10^-11 1.4*10^-11 1.34*10^-11 1.24*10^-12 9.2*10^-15 6.6*10^-16 8 performance training validation training 8*10^-11 2*10^-11 6.2*10^-11 2.3*10^12 7.3*10^-16 9.2*10^-17 10 performance training validation training 9.8*10^-11 2.4*10^-11 3.8*10^-12 1.2*10^-12 8.5*10^-17 1.2*10^-18 12 performance training validation training 3.5*10^-11 1.2*10^-11 4.1*10^-14 8.1*10^-13 3.5*10^-19 1.8*10^-19 14 performance training validation training 2*10^-12 4*10^-11 8.2*10^-14 3.2*10^-14 7.4*10^-20 4.9*10^-19 16 performance training validation training 9.6*10^-12 5.2*10^-11 6.1*10^-16 8.2*10^-15 2.33*10^-21 5.23*10^-19 the goal of training is to find an optimum answer of network. fig. (4) show the training, validation and testing graph of developed network with 3 layers and 16 neurons. the graph resulted show a very good performance (very small mean square error) after 472 attempts. fig. (5) illustrate regression between desired target and prediction ann output for training , validation, testing and all samples. all outputs seem to track the targets reasonably well and regression values are equal to one (r=1). hisham hassan jasim al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) 18 ew )t ea )t fig. 4. the best training fig. 5. regression between desired target and prediction ann output for training, validation, testing and all samples. 6. neural network testing this study used 50 sets of data were that generated by the reference heat exchanger model to test the network .the results shown in fig. ( 6 ) illustrate the good agreement ( %.30± ) between desired and predicated exit temperature (water temp. and air temp.) from heat exchanger. ew )t ea )t ew )t ea )t ew )t ea )t hisham hassan jasim al-khwarizmi engineering journal, vol. 9, no. 2, p.p. 1220 (2013) 19 fig. 6. desired and predicated output data for testing neural network 7. conclusion this paper presents (ann) modeling approach to the steam condenser performance. experiment were carried out to validate the ann model. practical data was obtained from heat exchanger operation in dura refinery and the data was divided to three samples (training, validation and testing data). two outputs (exit water temp. and exit air temp.) were taken in ann. after study 1-3 layers with 2-16 neuron, with back propagation algorithm, the training and testing of the results were carried out and the output of network is created. three layers with 16 neurons had the best answer and used in this paper. comparing target data with experiment results of exit water temperature and exit air temperature showed the all outputs seem to track the targets reasonably well and regression values are equal to one (r=1) . compared with experiment results the exit temperatures for water and air drops predicted by the testing ann is ± 0.35% of data. all deviation falls into %1± . with artificial nn exit temperatures for water and air can be found without need to thermal heat exchanger analysis. the result of this study helps researchers to study the thermal performance of devices (cooling tower and air compressor) connected with heat exchanger. 8. references [1] jian-fei zhang, ya-ling he, wen-quan tao (2009) "3d numerical simulation on shelland-tube heat exchangers with middleoverlapped helical baffles and continuous baffles – part i: numerical model and results of whole heat exchanger with middleoverlapped helical baffles" international journal of heat and mass transfer 52/ 5371– 5380. [2] yusuf ali kara, ozbilen guraras (2004)"a computer program for designing of shell-andtube heat exchangers" applied thermal engineering 24/ 1797–1805. [3] nasser ghorbani, hessam taherian, mofid gorji, hessam mirgolbabaei (2010) "an experimental study of thermal performance of shell-and-coil heat exchangers" international communications in heat and mass transfer 37 / 775–781. [4] g.n. xie, q.w. wang *, m. zeng, l.q. luo (2007) "heat transfer analysis for shell-andtube heat exchangers with experimental data by artificial neural networks approach" applied thermal engineering 27 / 1096–1104. [5] dheerendra vikram singh , govind maheshwari, ritu shrivastav(2011) "neural network – comparing the performances of the training functions for predicting the value of specific heat of refrigerant in vapor absorption refrigeration system" international journal of computer applications (0975 – 8887) volume 18– no.4. [6] design operation sheet with practice data from dura refinery. [7] rojalina priyadarshni, nillamadhub dash, tripti swarnkar, rachita misra(2010)" functional analysis of artificial neural network for database classification" ijjct, vol 1(2,3,4), pp 49-54. [8] ben krose , patrick van der smagt "an introduction of neural networks" eighth edition november 1996. [9] m. sen, k.t. yang, (2000)"applications of artificial neural networks and genetic algorithms in thermal engineering" , crc handbook of thermal engineering, crc press, boca raton, fl, 2000. [10] m. jalili-kharaajoo, b.n. araabi, "neuropredictive control of a heat exchanger: comparison with generalized reductive control", ieee trans. (2003) 675–678. )2013( 1220 ، صفحة2، العدد9مجلة الخوارزمي الھندسیة المجلد ھشام حسن جاسم 20 انبوب باستخدام الشبكة –تخمین درجات الحرارة الخارجة من مبادل حراري نوع قشرة اعتمادا على معلومات تطبیقیة العصبیة الصناعیة ھشام حسن جاسم جامعة بغداد /كلیة الھندسة الخوارزمي / قسم ھندسة المیكاترونكس الخالصة تقال الحرارة لمبادل حراري وھو من األجھزة واسعة االستخدام في محطات تولید القدرة ھدف الدراسة ھو تطبیق الشبكة العصبیة لتحلیل ان اعتمدنا أشھر طریقة للتدریب وتعلیم .النتائج العملیة تم الحصول علیھا من مبادل حراري یعمل في قسم تولید الطاقة داخل مصفى الدورة.والمصافي للحصول على أفضل تقارب ) اختبار تصدیق، تدریب،(خالل تقسیم النتائج العملیة الى ثالثة أقسام من back propagation algorithmالخوارزمیة وھي قیم اإلدخال للشبكة العصبیة ھي درجة حرارة الماء الداخل و درجة حرارة الھواء الداخل ومعدل تدفق الھواء أما قیم اإلخراج فھي درجة . مع الحالة الحقیقیة قراءة تم أخذھا من المودیل في أیام عمل مختلفة لتدریب الشبكة ١٥٠. التبرید ودرجة حرارة الھواء الخارج لضاغط الھواءحرارة الماء الخارج لبرج قراءة تم أخذھا الختبار مدى دقة الشبكة ٥٠، مقارنة نتائج الشبكة مع القیم العملیة وبأقسامھا التدریب والتصدیق واالختبار بینة تقارب عالي جدا. العصبیة نة تقارب ودقة العصبیة في ھذه الدراسة من خالل مقارنة درجات حرارة الخروج للماء ودرجة حرارة الخروج للھواء الناتجة من الشبكة والمودیل العملي بی ). ±30.%(یث بلغت نسبة الخطأ بحدود معقولة ح final al-khwarizmi engineering journal al-khwarizmi engineering journal, vol, 1, no.1,pp ١٠١ -١١٦ , (2005) ١٠١ the effect of oil and filer contents on the porosity of lead acid battery separators produced from polyethylene dr. malek mostafa mohammed* zyad rafa'a zair *biochemical engineering dept./ al-khwarizmi engineering college/ university of baghdad abstract: in this investigation a high density polyethylene (hdpe) was used as a substitute to polyvinylchloride in the production of lead acid battery separators. this has been achieved by preparing mixtures of different percentages of the feed materials which include a high density polyethylene (hdpe) locally produced, filler materials such as silica and oils such as dioctylphthalate (dop) or paraffin which were added to the mixture to improve the final properties of the separator. the materials were compounded by two roll-mills under the same conditions. the following parameters are involved: 1studying the use of a high density polyethylene as a binder to film components with (15-30) wt.%. 2studying the use of finely divided silica sand with (25-45) wt.% as a medium to oil adsorption. 3studying the use of two type plasticizers (paraffin or dop) with (35-55) wt. %. as a creative medium to films porosity. the best results of the feed materials in the mixture were selected so as to give the highest porosity using 15 wt. % pe, 30 wt. % filler, and 55 wt. % oil. it has been found that the films with dop oil give higher porosity. keyword: lead acid battery separator, polyethylene, film, porosity. introduction: battery separator is the active component in the battery and plays an important roll to the cycle life and performance of the battery. it is made of thin sheet electrically insulating porous materials used as spacers between the plates (positive & negative) to prevent short circuit buckling of them while freely permitting to the ions in current to flow through the separator, absorb mechanical forces to reduce the positive action mass, they also act as barriers to the transport of active materials between the plates and prevent dendrite formation (1,2). broadly there are two categories of lead acid battery separators skeletal and fiber structure separators, as their name imply skeletal separators are made of materials have a rigid inner structure such as polymers that has been fused by heat or chemical action and is mixed with filler typically precipitated silica, these separators are usually available with ribs which enable the separator to create an inter plate spacing while keeping overall separator mass to a minimum, an example of this kind of separators is the well known polyethylene type of material, the second class encompasses all those separators that have fibers as their basic material these fibers can be organic or inorganic and they can be found together with a resin or be laid together loosely without a binder, both types of separators can be made available in sheet or in rolls depending on flexible and mechanically strong components of the battery (3). malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٢ the present work can be divided to the following items: 1. studying the effect of the addition a high density polyethylene as a binder on separator properties. 2. studying the effect of the addition a filler as oil adsorbed on separator properties. 3. studying the effect of the usage of two types of plasticizers on the final properties of separator. theory: according to the double sulfate theory(4) which proposed by gladstone and traube in 1882 the basic current generation process taking place in the lead acid batteries on the positive and negative electrode during charge and discharge may be written as the following reactions: pbo2 +3h++ hso4 +2e pbso4 +2h2o (+) …(1) pb + hso4 pbso4 + h++ 2e (-) . ...(2) the net process while doing process is expressed by the following reaction: pbo2 +pb +2h2so4 2pbso4+ 2h2o … (3) in this theory during the discharge of battery on both electrodes lead sulfate is formed due to the reduction of pbo2 on the positive electrode and the oxidation of spongy lead on the negative electrode. kiseleva and kabanov had studied the mechanism of the anodic evolution of oxygen on lead dioxide in sulfuric acid in detail and the rate of oxygen evolution is limited by the discharge step as: h2o oh (ads) + h+ + e . ... (4) the self-discharge of the positive plate may be related to the oxidation of separator materials pbo2 + (oxidisable product in separator) + h2so4 pbso4 + (oxidized product of separator) + h2o ... (5) however in modern batteries the separator used made from materials which are practically not oxidized under the conditions of the positive electrode working and its reaction. during the anodic polarization of lead alloys in addition to the oxidation of lead other components of alloys such as antimony also undergo oxidation; the oxidation of antimony apparently proceeds according to the reaction: sb + h2o sbo+ + 2h+ + 3e . ...(6) also an extreme sulfation of the negative plate is observed when the grid of the positive plate in battery contains an abnormally large percentage of antimony which then getting into the negative electrode across the pores of separator and lower the hydrogen over voltage(4). another one of the causes of short circuits at the edges of the plates and through the separator, is basically connected with an accumulation of sludge at the bottom of battery case owing to dissolution of the positive active mass then sludge particles are transferred electrophoretically to the negative plates lead to swelling of the active mass which penetrates the pores of the separators if it has sufficiently large dimensions, and appearance of bridges round the separators (5). in general that size of the pores must be small enough to prevent the passage of solid materials such as lead or lead sulfate crystals and to hinder the passage of antimony ions which frequently are introduced into the electrolyte by the positive plate and which migrate to the negative plate and there by shorten the life of the malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٣ battery,but sufficiently large to permit the electrolyte to pass through (6). experimental work: 1-materials used: polymer high density polyethylene was used as a binder to the components of filler and plasticizer for producing films which is originally used for film applications, it was supplied by the state company for petrochemical industries in basrah in the form of pellets varies in particle size. silica sand (filler) local quartz silica sand is supplied by the state company for geological survey and mining, this type of filler was extracted from urthumma quarry in rutba area. in the present investigation it was used as adsorbent for plasticizer employed, for size reduction jet milling technique was used for this type of filler and the dust size which represented the finest particle size of the process were collected on the back filter of the system. plasticizers in the present work two kinds of plasticizers were used paraffin oil and dioctylphthalate for reaching to the best result of porosity and electrical resistance. with worth mentioning these oils were shared with some of experiments and extracted at the same conditions using n-hexane as a solvent. 2-compounding and processing these processes were done with using of compounding laboratory equipment which known as tworoll mills (figure(1)). this machine is made of two rolls of iron metals rotates one against each other at speed of operation 30 rpm and the length of each one (12) inch and the diameter (9) inch, the feed charge in each stage of compounding was (150 to 200)g based on the total ingredients. the pellets of polyethylene were compounded with high pressure exerted by two rolls compression about 800 psi. oil is added gradually to the filler (silica) with continuous mixing then blended with the polyethylene. the mixture were introduced into a roll mill where rolls are heated by hot water of highly elevated temperature about 150 oc to be able to melt the polyethylene in the mixture for (10-15) minute to obtain finished sheet with thickness (0.2-0.35) mm. the arrangements of compositions for the experiments are tabulated in tables (1) and (2). solvent extraction process on a laboratory scale and for removing of processing oil from the films (to produce separator with a suitable degree of porosity), the extraction process was done with using of 250 ml round bottom flask, a thermometer of 250 oc in one neck (figure(2)) and a reflecting cooling water glass condenser (24 mm diameter and 470 mm height) fitted to the other for solvent vapor condensation, hot plate with magnetic stirrer for increasing of washing efficiency to the films where solvent rotate continuously, water bath container used to control and regulate the temperature of the solvent. the oil extracted can be calculated as: the oil extracted (%) = (woil0 woil1)/woil0 x 100 .. (7) solvent recovery system a non fractionated distillation(7) was used in laboratory distillation process, the distillation apparatus (figure(3)) was employed consist of heating mental of 1.2 kw was connected to the voltage regulator to provide the input power, the heating mental was capable of 250 ml round bottom flask, a thermometer of 250 oc, and a glass condenser (35 mm diameter malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٤ and 500 mm long) is connected with round bottom flask by help of glass connector as a divider using water as a cooling media. volume porosity films with 40×40 mm2 cross section areas and 0.25 mm thickness were extracted, placed in an oven of 70 °c for about 60 minute to remove the moisture from them. the samples then were put in an evacuated dissecator for 24 hr to reach the room temperature, the film were weighed (w1) in an electrical balance (4-digits) then immersed in a distilled water for saturation at room temperature for 60 min and weighed (w2) after that, therefore, the pore volume (vp) of the film can be represented as: vp = (w2 – w1)/ρw . ..(8) the total external volume of the film (vf) was measured using mercury porosimeter (ruska instrument corporation) available in the department of petroleum engineering. porosities of the films were found by applying the equation (8,9): p (%) = vp /vf x 100 . ..(9) the experimental results of oil extracted and porosity are tabulated in table (3). results and discussion: the effect of temperature on the oil extraction: the effect of the temperature at which the oil extraction took place on the extracted and remaining oil are shown in fig.4, it has been observed that with the increase of temperature from 25 to 65 0c, the increase of oil extracted were not significant. this is because of a high solubility of the plasticizer in n-hexane. at 65 0c the percentage of extraction did not exceed 1% compared at 25 0c. therefore it is more economical to carry out the extraction at 25 0c. the effect of time on the oil extraction: the effect of extraction time on the oil extracted is shown in fig.5. it is shown that as the sequence of extraction time (30,60,90,120) minutes, the extracted oil is (45.26,45.36,45.36,45.40)% respectively. therefore a slight increase in the extracted oil with time could not be considered as a significant factor in time selection for best results (i.e., most of the oil feed in the original film mixture were dissolved in the early time of extraction). again this is because of a high solubility of the plasticizer in n-hexane. according to theses results the increase of extraction time above 60 minutes is not necessary and this is considered the recommended time for this study. the effect of separator components on porosity: the capacity of lead acid battery can be improved by increasing of the porosity, to some level, beyond which the life time of battery may be reduced. from figs.6 to 8 it has been shown that by increasing of the oil content the oil extracted increases too. the increase of oil content leads to an increase of the oil in the voids between the filler particles and on their surfaces which is extracted latter. which can be explained that any increase in the oil content can be depleted in the extraction step. as seen in figs.6 and 7 the percentage oil extracted with dop films is slightly higher than paraffin films. this is because dop solubility in n-hexane is higher. the changing of filler content of the film on the extracted oil is malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٥ shown in fig.9. it is clear from this figure that the increase in the filler content cause an increase in the oil extracted from the film. this because the aim of adding the filler is to form a surface where the oil can be spread on. thus the increase in filler content leads to increase in the oil content and then increase in the oil extracted. figures.10, 11, and 12 show that as of the oil feed content increases the porosity of the film will increases. the extraction of the oil from the mixture led to the formation of pores and creating inner irregular tortuous channels which is responsible for the increase in the porosity. although the increase in the oil content percentage on the expense of the polyethylene leading to an increase in the porosity, it is worth mentioning that the less polyethylene content the less the number of chains binding where the filler grains will increases the wettability and may lead to more open pores and channels making the penetration and diffusion of the solvent through the film more easier. this behavior were also confirm through fixation of oil feed percentage, decreasing in the feed polymer percent, and increasing in the filler percentage where the oil is adsorbed and distributed over higher amount of filler particles leading to an increase in the number of the inner channels occupied by oil which is going to be opened by extraction process, the results were an increase in the porosity. by comparison between the films made of paraffin oil and that made with dop oil it had been found that the porosity of the first is less than that of the latter. this is explained previously, the higher solubility of dop than paraffin oil in organic solvents (i.e.,. oil extracted from dop samples is rather higher than paraffin oil samples). an increase in porosity is gained as the filler content increases (fig.13). again this behavior was explained earlier, that is the increases in filler content leads to increase in the oil content, thus increase the porosity of the film. conclusions: 1the best conditions for oil extraction were 60 minutes at 25 0c. 2the decrease in oil extracted cause a reduction in the porosity. 3the increase of the oil feed percent in the film mixture from (35 to 55) wt. % led to a noticeable increase in porosity after its extraction through creation of pores. 4using dop oil in film mixture gives rather better results of porosity. 5the increase in (polymer/filler) ratio results in the reduction in films porosity. 6reduction in the polymer percent from (30 to 15) wt.% with increasing or fixation of filler feed percent will lead to porosity increase. 7the best percentages of film mixture was 15 wt.% pe, 30wt.% filler, and 55 wt.% oil to give the best porosity. nomenclature: p porosity vf film volume measured by mercury porosimeter (cm3) vp pore volume measured by water impregnated (cm3) w1 weight of dry film after extraction. (g) w2 weight of film impregnated with water. (g) woil0 weight of film before extraction. (g) woil1 weight of dry film after extraction. (g) ρw density of water (g/cm3) malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٦ references: 1. vinal, c. w., "storage batteries", 4th. edition. wiley, new york, 1962.(p51). 2. isaacson, m.j., giovannoni, r.t., choi, w. m., and kung, j.k., "battery separator for recombinant batteries" ep. patent no. 0466302a1; april. 24, 1991.(pp14) 3. vincent, c.a., and scrosaci, b., "modern batteries", arnold, 1997.(p150). 4. dasoyan, m.a., and aguf, i. a.," the lead accumulator", asia publishing house, 1968. 5. dasoyan, m.a., and aguf, i. a., "current theory of lead –acid batteries", technology limited, england, 1979.(p347). 6. larson, d.w., and kehrednor, c. l., "battery separator" u.s. patent, no. 3351495; november. 7, 1967. 7. nelson, w.l., "petroleum refinery engineering ", 4th edition, mcgraw-hill, new york, 1958.(p465). 8. bode, h., "lead acid batteries", a wileyinterscience publication, new york, 1977. 9. doi, y., tachikawa,o.m., kaneko, s., and hanamura,t., "microporous film battery separator" u.s. patent, no. 4210709; july. 1, 1980.(pp26). malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٧ table (1): the arrangement of paraffin films experiments. set. no exp. no polyethylene wt. % silica wt.% paraffin oil wt.% one 1 30 30 40 2 25 30 45 3 20 30 50 4 15 30 55 two 5 30 35 35 6 25 35 40 7 20 35 45 8 15 35 50 three 9 20 25 55 3 20 30 50 7 20 35 45 10 20 40 40 four 1 30 30 40 6 25 35 40 10 20 40 40 11 15 45 40 table (2) the arrangement of dop films experiments. set. no exp. no polyethylene wt. % silica wt.% dop wt.% one 1 30 30 40 2 25 30 45 3 20 30 50 4 15 30 55 two 9 20 25 55 3 20 30 50 7 20 35 45 10 20 40 40 three 1 30 30 40 6 25 35 40 10 20 40 40 11 15 45 40 malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٨ table (3) results of oil extraction from dop & paraffin films. set. no exp. no oil content wt. % oil extracted wt.% porosity % paraffin dop paraffin dop one 1 40 34.69 35.58 28.51 29.71 2 45 40.58 42.26 33.46 34.93 3 50 45.30 47.07 39.74 41.53 4 55 49.42 51.38 45.99 48.17 two 5 35 32.47 …….. 30.36 …….. 6 40 35.69 36.79 32.59 33.98 7 45 40.45 41.99 38.14 39.70 8 50 46.74 …….. 43.22 ……. three 9 55 48.88 50.73 41.97 43.91 3 50 45.30 47.07 39.74 41.53 7 45 40.45 41.99 38.14 39.70 10 40 36.90 38.21 36.52 38.01 four 1 40 34.69 35.58 28.51 29.71 6 40 35.69 36.79 32.59 33.98 10 40 36.90 38.21 36.52 38.01 11 40 38.35 39.57 39.03 41.38 malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١٠٩ hooper control panel molten materials doctor knife thickness regulator support plate wind roll front roller product film back roller fig(1) schematic diagram of compounding & processing machine. fig(2) schematic diagram of extraction process malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١١٠ 45 45.1 45.2 45.3 45.4 45.5 45.6 45.7 45.8 ٤٥.٩ ٤٦ 20 25 30 35 40 45 50 55 60 65 70 temperature oc oil extraction at 60 min o il ex tr ac te d % figure (4): the effect of the solvent temperature on the film oil extracted. figure (3): schematic diagram of solvent recovery method malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١١١ ٤٥.٢٤ ٤٥.٢٦ ٤٥.٢٨ ٤٥.٣ 45.32 45.34 45.36 45.38 45.4 45.42 ٠ ٢٠ ٤٠ ٦٠ ٨٠ 100 120 140 time (min) oil extraction at 25 c o il ex tr ac te d % figure (5): the effect of the extraction time on the film oil extracted. 25 30 35 40 45 50 55 35 40 45 50 55 60 oil content wt.% paraffin films with 30 % feed filler dop films with 30 % feed filler o il ex tr ac te d % figure (6): the effect of the oil feed percent on the film oil extracted with constant filler percent. malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١١٢ 25 30 35 40 45 50 55 35 40 45 50 55 60 oil content wt.% o il ex tr ac te d % paraffin films with 20 % pe dop films with 20 % pe figure (7): the effect of the oil feed percent on the film oil extracted with constant polymer feed percent. 25 30 35 40 45 50 30 35 40 45 50 55 oil content wt.% o il ex tr ac te d % paraffin films with 35 % feed filler figure (8): the effect of the oil feed percent on the film oil extracted with constant filler percent. malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١١٣ 34 35 36 37 38 39 40 25 30 35 40 45 50 filler wt.% o il ex tr ac te d % paraffin films with 40 % feed oil dop films with 40 % feed oil figure (9): the effect of filler content on the extraction efficiency with constant oil feed percent. 20 25 30 35 40 45 50 35 40 45 50 55 60 oil content wt.% po ro si ty % paraffin films with 30% filler dop films with 30% filler figure (10): the effect of the oil feed percent on the film porosity with constant filler percent. malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١١٤ 30 32 34 36 38 40 42 44 46 35 40 45 50 55 60 oil content wt.% po ro si ty % paraffin films with 20% pe dop films with 20 % pe figure (11): the effect of the oil feed percent on the film porosity with constant polymer feed percent. 25 27 29 31 33 35 37 39 41 43 45 30 35 40 45 50 55 oil content wt.% po ro si ty % paraffin films with 35 % filler figure (12): the effect of the oil feed percent on the film porosity with constant filler percent. malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١١٥ 25 27 29 31 33 35 37 39 41 43 45 25 30 35 40 45 50 filler wt.% po ro si ty % paraffin films with 40 % feed oildop films with 40 % feed oil figure (13): the effect filler content on the film porosity with constant oil feed percent. malek m. mohammed et al. / al khwarizmi engineering journal, vol., no. 1, pp 101-116 (2005) ١١٦ تأثير المكونات من الزيت والماألت في الفراغية لعوازل بطاريات الرصاص السائلة المصنوعة من البولي اثيلين مالك مصطفى محمد زياد رافع زاير.د جامعة بغداد/كلية هندسة الخوارزمي/قسم هندسة الكيمياء االحيائية :الخالصة يتناول هذا البحث دراسة استخدام البولي اثيلين المنتج محليا في تصنيع عوازل بطاريات الرصاص السائلة كبديل اقتصادي عن عوازل البولي فينيل كلورايد المستخدمة من قبل الشركة العامة . لصناعة البطاريات وكذلك عن عوازل البولي اثيلين المستوردة تم ذلك من خالل تحضير خلطات بنسب مختلفة للمواد الداخلة والتي تشمل البولي اثيلين عالي إلىالتي تضاف )الدوب( وثنائي اوكتايل الفثاليتافين امثل السليكا، زيوت مثل البار الكثافة ، مواد مالئة two – roll millالخلطة لتحسين الخواص النهائية للعازل ، ثم تشكيله بواسطة ماكنة الخلط والمعروفة .بظروف عملية ثابتة تضمن البحث المحاور آالتية %. ٣٠-١٥بنسب وزنية العالي الكثافة البولي اثيليناستخدام %.٤٥-٢٥إضافة مادة السيليكا بنسب وزنية %.٥٥٣٥مثل زيت البرافين و الدوب بنسب وزنية ) لعمل الفراغات(تأثير إضافة مادة ملدنة النسب للمواد الداخلة في الخلطات والتي أعطت أعلـى درجـة مـن المسـامية أفضلتم تحديد مـن ) % ٥٥( و% ) ٣٠( مواد مالئة بنسبة ,) %١٥( العالي الكثافة بنسبة لين ياستخدام البولي اثب الزيت ، لقد وجد بان النماذج مع زيت ثنائي اوكتايل الفثاليت تمتاز بدرجة مسامية أعلى عن نماذج زيت .البرافين final al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 1, no.1, pp 64-75 (2005) ٥٢ al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.1, no.2,pp 52-63, (2005) the timoshenko three-beams technique to estimate the main elastic moduli of orthotropic homogeneous materials dr. kamal k.m. saify * dr. adnan n.j. al-temimy** dr. muhsin j.j. *** *the technical college-baghdad / department of dies & tools. ** mechanical engineering dept./college of engineering./ university of baghdad *** mechanical engineering dept./ college of engineering/ university of al-nahrain (received 11 december 2004, accepted 11 february 2005) abstract: a new developed technique to estimate the necessary six elastic constants of homogeneous laminate of special orthotropic properties are presented in this paper for the first time. the new approach utilizes the elasto-static deflection behavior of composite cantilever beam employing the famous theory of timoshenko. three extracted strips of the composite plate are tested for measuring the bending deflection at two locations. each strip is associated to a preferred principal axis and the deflection is measured in two orthogonal planes of the beam domain. a total of five trails of testing is accomplished and the numerical results of the stiffness coefficients are evaluated correctly under the contribution of the macromechanics and the approximate bending theory. to insure the validity of the new approach, separate individual tensile tests are performed, and the corresponding results are compared. excellent agreements are obtained between the different approaches. the ease, simple and accurate predictions are well confident by the new technique. keywords: timoshenko ,beam, composite beam. 1. introduction the development of composite materials offers great potential in advanced civilian and non-civilian structural applications since the late thirties of the last century [1,2] and still now in rapid progress and evolution [3,4]. the recent century began with a new technological development of the “smart” composite structures [5,6,7] where a large strength-to-weight ratio is achieved, besides the ability to react actively to disturbance forces while maintaining structural integrity. the assignment of the mechanical engineering properties, of such materials, are strongly demanded for design and behavior analysis. the orthotropic elastic constants (total nine in number) represent an important set of those properties. starting with the familiar young, shear moduli and poisson’s ratio, the traditional static tensile test satisfies, to some level, the mentioned objective but involves uncertainty of the results (due to the localized deformation near the end fixture of the tensile sample (see ref.[8], chap. micromechanics) as well as the weak and simple base theory it adopts where the transverse shear effects are ignored as usual [8,9]), and also the relative cost of the test requirements (the available of tensile m/c and minimum three kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٥٣ samples to be distracted later). moreover, the traditional test is not able to determine more than four elastic constants in its best conditions (refer to [8]). the theoretical and experimental attempts of tsai[9] and nextly halpin and tsai[10] in the static micromechanics of composites, was found satisfactory if the pre-limitations in analysis were released. their formulations require that the physical and geometrical properties of the composite constituents as well as a suggestion of two new factors insurt in the formulae, all ought to be prepared in advance. again only four elastic constants could be obtained by these approaches. dynamic tests, were firstly conducted by goens[11] to determine the shear modulus of an isotropic bar under torsion. later on, the two elastic constants (young and shear moduli) were obtained by pickett[12], hasselmen [13] and spinner & teff[14] using two independent tests, the bending vibration and torsional ones. rubben & scharr[15] applied excellently both the static tensile test and torsional vibration test to estimate the nine elastic constants of composite using three chosen samples for the two tests, one of which its fabrication procedure was seemed difficult to be achieved and required much care and accuracy. deobald & gibson [16] used the classic orthotropic plate theory of kerishoff to compute the four elastic constants employing the new modal analysis technique (mat) [17]. saify & al-temimi[18] were the first who succeeded to obtain the two “effective” elastic moduli by one test of flexural vibrations of prismatic bar. recently reference [19] presented a developed “three theories technique (ttt)” to determine all the elastic constants set of anistropic material employing the mat and basing theoretically upon his “exact” orthotropic simply-supported plate theory from levinson[20] first concept of the exact isotropic plate theory. the conditions, required to make this approach successful, are: a test rig for sample boundary supporting and the set-up instrumentation of the applied mat. it seems, generally, that a chosen approach, to determine the orthotropic elastic constants of a composite material, is often incorporating some technical (and/or theoretical) limitations in the employment. the need of (i) inexpensive test, (ii) acceptable base theory, (iii) few tested samples and (v) many estimated elastic constants, is the most preferable thing to put forwards for achieving such aim. too many demands against so humble abilities!. the present paper looked for accomplishing most of these demands through the adoption of timoshenko beam theory [21] which is still found as an acceptable engineering theory. a non-destructive static deflection test (instead of the destructive tensile test) of a composite cantilever strip may be sufficed to obtain the two elastic constants associated with the principal axes of the testing sample. utilizing the familiar configuration of the samples, originally used in the tensile test, the present approach would be able to determine a maximum of six independable elastic constants from three samples preserving the same simple test set-up. the new approach had been examined, for validity assessment, by a resonant frequency test and the comparison of experimental results were made among all mentioned approaches. the present t3bt reflected very obviously its reliability and success in the achievement comparing with other techniques in literature till the time of submitting this report. 2. theoretical analysis referring to fig.1, the composite sample, under consideration, is modeled as a rectangular beam (strip) with its length, thickness and breadth kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٥٤ are denoted by l1,l2 and l3 respectively. the beam is supposed to be bent statically in the plane (1-2) due to an arbitrary distributing load p12 (per unit breadth) on the beam upper surface. generally, the load may be a function of location η along the major axis-1. in accordance to timoshenko beam theory the constitutivedisplacement relationships and the force-moment equilibrium conditions state that: ......(3) ).( 12 1i , .a :where ......(2) 0q , )( ......(1) em , 6 5 3 233321 12 31112 llll d dmp d dq d di d dagq == == =      += η η η η ψ η δ ψ the quantity (5/6g12), in q-expression, is the “effective” shear modulus of the strip material [20], in which the factor (5/6) refers to reissner’s shear coefficient, while g12 is simply the actual shear modulus associated with existed plane of deformation (1-2). the item e1, in m-expression, is commonly the young modulus of the cantilever material in the major direction-1. solving of the ordinary differential eq.(2) for the loading condition of concentrated force p0 at the beam tip (η=l1), and using the results into eq.(1) yields to the general expressions of the displacement components δ (the local deflection) and ψ (the section rotation) as followings: ......(4) 6 1 2 1 2 1 5 6 01 32 1 31 0 1 2 1 31 0 112 0 ccl ie p cl ie p ag p ++      −= +      −−= ηηηδ ηηψ applying the beam condition at the clamped end 0) 0( ==⇒= δψη , gives the exciplict formula for δ as varied with η, in the form: ( ) 5 3 6 112 032 1 31 0 ηηηδ ag pl ie p +−= ….(5) the two elastic constants (e1 and g12), appeared in above equation, can be calculated whenever the deflection δ is precisely measured at two locations, say the strip tip (η=l1) and the midlength (η=l1/2), resulting in: 5 3 48 5 5 6 3 112 10 31 3 10 112 10 31 3 10 ag lp ie lp ag lp ie lp m t += += δ δ ……(6) where δt and δm represent the localized deflections at the beam tip and mid-length positions respectively. eq.(6) suffices now to compute the two elastic constants of the strip from: ( ) ( ) 516 18 5 2 3 2 1 2 3 0 12 3 1 2 3 0 1 tm mt l ll p g l l l p e δδ δδ −            = −            = …(7) the benefit of above formulae, comes from that its mathematical scheme can be held correctly for general beam rotation of the coordinate axes system. it does not enforce any preferable choice of the directions (1,2,3) to be adjusted for any sides of the strip (length, thickness or breadth), i.e. eq.(7) can be utilized for any axis kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٥٥ rotation through (900) about its plane. this will serve to compute another set of two elastic constants (young and shear moduli) corresponding to the new axes system. in order to estimate a maximum number of these sets of moduli values, the job was devoted to conduct the deflection tests, firstly on a beam-a whose major axis coinciding with the fiber axis (i.e. parallel), secondly on a beam-b whose major axis is perpendicular to the fiber axis (i.e. normal) and thirdly on a beam-c whose major axis is at 450 with the fiber axis (i.e. inclined). these three beams are actually cut from the composite laminate as illustrated by fig.(2). each beam is then tested independently one or two times. in each time the deflection axis is altered by (900) rotation about the major axis. denoting the cartesian plane (xy) as the mid-plane of the composite laminate, where the fibers are along x-axis, and choosing z-axis to be orthogonal with (xy) through out the laminate thickness, then the complete deflection tests may be organized as followings: (i) beam-a (parallel): (1) test-1: the major axis-1 is x-axis and the deflection axis-2 is z axis, from which ex and gxz can be estimated. (2) test-2: the major axis-1 is x-axis and the deflection axis-2 is y-axis, from which ex and gxy would be then computed. (ii) beam-b (normal): (1)test-1: the major axis-1 is y-axis and the deflection axis-2 is z axis, from which ey and gyz can be estimated. (2)test-2: the major axis-1 is y-axis and the deflection axis-2 is xaxis, from which ey and gxy would be then computed. (iii) beam-c (inclined): (1) test-1: the major axis is 1-axis and the deflection axis is 2 axis, from which e1 and g12 can be evaluated. transforming the results to the actual laminate axes (xyz), then the two elastic constants (gxy and νxy) can be estimated, from this test, using (see ref.[8]): 11 4 12 11 2 4 141 12 121         +−      =         +−      += yxx xy yxxy eege eegeg ν …(8) by now, the present 3-beam samples are non-destructively tested by simple deflection tests to estimate the six elastic constants (ex, ey, gxy, νxy, gxz and gyz) of the given orthotropic material. table(1) summarizes the total five tests procedure, previously explained . note that the constants ex and ey would be averaged from the test results of beam-a and b respectively. the same thing might be done for gxy from all the three beam tests, whereas no averaging is there for gxz, gyz and νxy since they are computed one time only. 3. numerical results, discussions and comparison the ever best method to check for the validity of the present and relevant techniques to estimate the different elastic constants of an orthotropic material, is the adoption of a reference sample whose material elastic moduli had been precisely obtained and verified frequently by some reliable technique, other than these mentioned here, and see whether the present approaches retain the same elastic constants values. unfortunately, this trail failed due to the absence of such material. however, the present aim can be achieved alternatively by adoption of the same experimental and theoretical results of the different approaches. the “best” approach is that which maintaining the minimum deviations of the results throughout all cycles of the tests. it is a simple sort of “optimization” of the different four kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٥٦ approaches: the classical tensile test, the strength of material approach, the elasticity approach and finally the present t3bt. the present manufactured composite plate was firstly well prepared and the three strips(a,b,c) were perfectly cut along the corresponding directions as clarified by fig.2. appendices(a,b) display the main formulations to calculate the corresponding four elastic constants (ex, ey, gxy and νxy) in the light of the approaches respectively. table(2) show the entire collection of the experimental readings of the strips static deflections (using electrical resistance strain gauges) corresponded to given concentrated load at the tip end and for all strips configurations and test trails as proposed by the t3bt. table(3) presents the experimental acquired readings of the classical tensile test procedure made on the three strips and for all test trails as familiarly performed by this treatment. from these tests readings, the orthotropic elastic constants were computed and organized as shown by tables(4,5). the t3bt gives the results of six elastic modulii, whereas the classical tensile test gives the results of four elastic constants. in closing, table(5) illustrates the overall final values of the material elastic moduli as obtained by the current four approaches, mentioned before. in this table the results of the t3bt and the tensile tests are commonly averaged, from which the final standard deviations are computed easily. a little consideration into the last argument of the standard deviations in table(5) gives definitely that present t3bt estimates the accurate results in respect to the familiar tensile test approach, in addition to its ability of obtaining two further constants upon the common four ones. the mean value of these deviations, among the total six values from the t3bt, is no more than (0.053), while from the tensile test approach (with total four values) reaches to (0.108). it is very obvious that the present t3bt estimates the results two times accurate than the classical approach. henceforth, the tsai approach is more reliable in results than the strength of material approach which seems to be the worse one. the most beneficial thing regarding the present t3bt is its success in estimating the orthotropic shear moduli gxz and gyz that no other technique had achieved in similar proposition of the present work. 4. references: 1. lubin g., “handbook of composites.”, van nostrand reinhold co., 1982. 2. rosato d. and grove c., “filament winding: its development manufacture, application and design.”, 1964, j. wiley & sons inc., new york. 3. compositpro., peak composite innovations, 11372 w, parkhill dr., littleton colorado, 80127 usa, 2003. 4. fibersimtm , composite design technologies, inc., 235 wyman st., suite 100, waltham, ma 02451-1219, usa, 2003. 5. zhon x., chattopadhyay a. and thornburg r., “analysis of piezoelectric smart composites using a coupled piezoelectricmechanical model.”, j. intell. mat. sys. & strucs., vol. 11, 2000, pp. 169-179. 6. heng soo kim, aditi chattopadhyay and xu zhou, “stress analysis of smart composite structures using piezoelectric patch using thermalpeozoelectric mechanical loading.”, aiaa, vol. 52, 2002, pp. 1-13. kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٥٧ 7. henug soo etal, “dynamic response of smart composite shell using a coupled thermopiezoelectric-mechanical model.”, aiaa, 1-11, 2002. 8. jones r.m., ”mechanics of composites.”, mcgraw hill book co., washington d.c., 1975. 9. tsai s.w. and spinner g.s., “the determination of the moduli of anistropic plates.”, asme transc., j. appl. mechs., vol. 30, 1963, pp. 467-468. 10. halpin j.c. and tsai s.w., “effects of environmental factors on composite materials.”, j. composite mat., vol. 1, no. 1, 1969, pp. 4-10. 11. joens e., “on the determination of the dynamic modulus of uniform bar under torsional vibration.”, j. modern physics (west germany), vol. 11, 1931, pp. 649-678. 12. pickett g., “equations for computing elastic constants from flexural and torsional frequencies of vibration of prisms and cylinders.”, procc. am. soci. testing mats., vol. 45, 1954, pp. 846-865. 13. hasselmen d.p., “tables for the computation of the shear modulus and young modulus of elasticity from the resonant frequencies of rectangular prisms.”, the carborundum co., new york, niagara falls, 1961. 14. spinner s. and tefft w., “a method for determining mechanical resonance frequencies and for calculating elastic moduli from these frequencies.”, procc. am. soci. testing mats., vol. 61, 1961, pp. 1221-1238. 15. rubben a. and scharr g., “method of determination the complete three dimensional elastic compliance matrix of composite material.”, j. comp. structs., vol. 27, 1987, pp. 760-773. 16. deobald l.r. and gibson r.f., “determination of the elastic constants of orthotropic plates by a modal analysis/raylieghritz technique.”, j. soun. vibr., vol. 124, no. 2, 1988, pp. 269283. 17. dossing o., “structural testing. part-ii: modal analysis and simulation.”,bruel & kjaer publishings, 1988, pp. 26-27. 18. saify k.m. and al-temimi a.n., “a new proposal to compute the dynamic elastic moduli and timoshenko shear coefficient of isotropic prismatic bars.”, procc. 4th sci. engg. conf., univ. baghdad, 1997, 2me33. 19. saify k.m., “elasto-static &dynamic investigation into composite plates & shells with new approaches for estimation of the elastic moduli.”, ph.d. thesis, univ. baghdad, 2000. 20. levinson m., “a new rectangular beam theory.”, j. soun. vibr., vol. 74, no. 1, 1981, pp. 81-87. 21. timoshenko s., “on the correction for shear of the differential equation of transverse vibration of prismatic bars.”, phil. magz., vol. 41, series 6, 1921, pp. 125-127. kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٥٨ given the physical & mechanical properties of the fiber (e-glass) and matrix (epoxy) constituents of the composite material (the present fabricated laminate) as listed below: the apparent elastic constants and mass density of the orthotropic laminate may be computed as followings (see ref.[8,9] where deep details on the chemical compositions are discussed): 1 1 mmff mmffxy m m f f xy m m f f y mmffx vv vv g v g v g e v e v e eveve ρρρ ννν += += += += += ……(a -1) with the notations (f, m) refer to the fiber and matrix constituents respectively appendix(b): the elasticity approach. referring to the theoretical concepts of tsai & halpin in the micromechanics of composite material of two constituents, discussed earliarly, the four apparent elastic constants were driven in the form of: { } { } { } )1(g , )1( )1(e , )( 65xy43 210y kckckckc kckckveveke xy ffmmx +−=+−= +−=+= ν ……(b-1) where c and k are the effective “fudge” factor and the misalignment factor respectively. their magnitudes are actually taken to be in the range (0.85-1.00) for the first factor and (0.0-0.4) for the second one, as proposed by the authors above. the six k’s coefficients in eq.(b-1) are computed from: specification fiber (e-glass), vf=45% matrix (epoxy) vm=55% young modulus 72.40gpa 3.40gpa shear modulus 29.67gpa 1.27gpa poisson’s ratio 0.220 0.34 mass density 2.54x10-6 kg/mm3 1.22x10-6kg/mm3 appendixes appendix(a): strength of material approach. kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٥٩ )()( )()( )(2 )(2 )()2( )2()2( )()2( )2()2( )(2)2( )()2( )(2)2( )()2( )1(2 6 5 4 3 2 1 0 mmfmf mmfmf f mmfm mmff m mfmffmf fmmfmmffmf mmfmmmf mmfmmfmmff mfmfm mmfmfmf mmfmm mmfmmmf mmff vgggg vgggggk vggg vggggk vkkggkk vgkkvgkkk vkkggkk vgkkvgkkk vkkgk vkkggkkk vkkgk vkkggkkk vvk −++ −−+ = ++ −− = −−+ +++ = −−+ +−+ = −−+ −−+ = −++ +−+ = −−= νν νν νν ……(b-2) with all other notations are as being defined in appendix(a) kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٦٠ table(2). the present t3bt readings of the composite cantilever strips under the proposed static deflection tests.(refer to fig.(2)). scheme of test test-1 test-2 reading items p0 (kg) δm (mm) δt (mm) p0 (kg) δm (mm) δt (mm) strip-a trial(1) 1.00 1.5875 5.0763 50.00 0.4571 1.2955 trial(2) 1.50 2.3526 7.5231 75.00 0.6950 1.9544 trial(3) 2.00 3.1274 10.0007 90.00 0.8338 2.3428 strip-b trial(1) 0.50 2.1473 6.8676 50.00 0.9374 2.8374 trial(2) 0.75 3.0527 9.7637 75.00 1.3575 4.0835 trial(3) 1.00 4.1033 13.1237 90.00 1.6415 4.9385 strip-c trial(1) 25.0 0.8230 2.1363 trial(2) 35.0 1.1516 2.9673 trial(3) 45.0 1.4879 3.8349 table(3). the present simple tensile test readings of the composite cantilever strips. reading items p0 (kg) ∆l* (mm) ∆b** (mm) strip-a trial(1) 300.0 0.800 0.098 trial(2) 350.0 0.964 0.078 trial(3) 400.0 1.096 0.072 strip-b trial(1) 300.0 1.943 0.089 trial(2) 350.0 2.094 0.078 trial(3) 400.0 2.430 0.072 strip-c trial(1) 300.0 0.710 trial(2) 350.0 1.312 trial(3) 400.0 1.571 (*) longitudinal elongation of the tested strip. (**) lateral contraction of the strip. table(4). computations of the elastic constants of the composite strip from two present theoretical/experimental approaches. approach the estimated elastic moduli of the present orthotropic material ex (gpa) ey (gpa) gxy (gpa) νxy gxz (gpa) gyz (gpa) t3bt (*) trial(1) 6.613 2.361 1.985 0.221 1.779 0.879 trial(2) 6.693 2.491 1.865 0.371 1.869 0.949 trial(3) 6.713 2.471 1.855 0.371 1.899 0.929 tensile test (**) trial(1) 7.380 3.030 2.141 0.444 trial(2) 7.120 3.280 2.441 0.324 trial(3) 7.160 3.230 2.351 0.264 (*) refer to eqs.(5,6,7). (**) ei=p0.li/(lj.lk).∆li, νij=∆lj.li/lj. ∆li (i,j,k=x,y,z or 1,2,3) with the help of eq.(7). kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٦١ table(5). comparison of the estimated results of the orthotropic elastic moduli of the present composite material according to variety of current approaches. approach the main elastic constants ex (gpa) ey (gpa) gxy (gpa) νxy gxz (gpa) gyz (gpa) t3bt average 6.673 2.441 1.905 0.321 1.849 0.919 σ(*) 0.043 0.057 0.064 0.071 0.051 0.029 tensile test average 7.220 3.180 2.311 0.344 σ(*) 0.123 0.108 0.126 0.075 strength of material($) 7.081 4.003 1.502 0.294 elasticity($$) 6.727 2.340 1.822 0.302 (*) standard deviation ( ) 3 3 1 2∑ = − = i iaveragevalue ($) refer to appendix(a). ($$) refer to appendix(b). kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٦٢ figure (2) figure (1) kamal k.m. saify./ al-khwarizmi engineering journal ,vol.1, no. 2,pp 52-63 (2005) ٦٣ تقنية توموشينكو ثالثية العتبة لتقدير معامل المرونة الرئيسي للمواد )المتجانسة ثالثية البعد( جويج محسن جبر.د عدنان ناجي جميل التميمي.د كمال مصطفى كمال محمود سيفي.د كلیة الھندسة /قسم المیكانیك كلیة الھندسة /قسم المیكانیك بغداد-الكلية التقنية/قسم القوالب والعدد النهرينجامعة جامعة بغداد :ةخالصال طريقة مطورة جديدة ، لحساب ثوابت المرونة الستة والضرورية لتحليل التصرف الميكانيكي والداينماكي دة الصفات الهندسية، قد قدمت في هذه الورقة للمرة األولى من نوعها للشرائح المركبة المتجانسة متعام للقضبان المركبة الناتئة " تيموشنكو"اعتمدت الطريقة على نظرية . في األساس النظري وإجراءات العمل يتطرق الجانب العملي الى استخدام ثالث شرائح مركبة من المادة على طول المحاور . والمنحنية سكونيا سية الثالث وإيجاد االزاحات السكونية المناظرة لكل شريحة وبمستويين متعامدين من منظومة المحاور األسا تم إجراء خمسة محاوالت تجريبية بواقع اختبارين لكل محاولة وحساب معامالت . األساسية للتركيب إقرار الموثوقية للنتائج لغرض . ونظرية الميكانيك الدقيق للمواد المركبة" تيموشنكو"الصالبة وفق معادالت المختلفة، تم إجراء ثالث اختبارات كالسيكية للشد لجميع نماذج التجربة ومقارنة القراءات النهائية للصالبة لقد أثبتت الطريقة المقدمة كفاءتها وصحة نتائجها بإعطائها أقل االنحرافات العددية . في االتجاهات الرئيسية .متازت ببساطة ودقة الشكل الرياضي للحلمقارنةً بالطرق السابقة، كما ا <4d6963726f736f667420576f7264202d20d2edcf20e6c7cdd3c7e420e6dfc7d9e332302d203331> al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 3, september, (2018) p.p. 2031 experimental and simulation investigations of micro flexible deep drawing using floating ring technique zaid h. mahmood* ihsan k. irthiea** kadum a. abed*** *,**,***department of mechanical engineering/ college of engineering/ university of anbar/ anbar/ iraq *email: zaid_eng88@yahoo.com **email: ih77san@yahoo.co.uk (received 30 august 2017; accepted 26 december 2018) https://doi.org/10.22153/kej.2018.12.007 abstract micro metal forming has an application potential in different industrial fields. flexible tool-assisted sheet metal forming at micro scale is among the forming techniques that have increasingly attracted wide attention of researchers. this forming process is a suitable technique for producing micro components because of its inexpensive process, high quality products and relatively high production rate. this study presents a novel micro deep drawing technique through using floating ring as an assistant die with flexible pad as a main die. the floating ring designed with specified geometry is located between the process workpiece and the rubber pad. the function of the floating ring in this work is to produce ss304 micro cups with profile radius precision as required as possible. the finite element simulations are accomplished using the commercial code abaqus/standard. in order to verify the simulation models, micro deep drawing experiments are carried out using a special set up developed specifically to meet the requirements of the simulations. the results revealed that the proposed technique is feasible to be adopted for producing micro cups with remarkable application capability in miniaturization technology. keywords: flexible tool, micro deep drawing, finite element simulation, floating ring. 1. introduction the increasing demand on micro parts utilized in various industrial fields, including electronics and micro-medical devices get the manufacturers into a competitive situation [1]. therefore, using advanced manufacturing processes and innovative techniques has significantly become urgent need for technology advancement [2]. recently, sheet metal forming using flexible tools is one of the forming techniques that attract great attention of many researchers. flexible tool-assisted sheet metal forming can be characterized by its feasibility for prototyping processes, simplicity and versatility. in comparison to conventional deep drawing, flexible tool-assisted deep drawing has many other advantages such as better surface quality, better dimension accuracy, capability for complex shaped parts and lower production cost [3, 4]. f. quadrini et al. [5] studied the effect of die material and its geometry on forming processes of aluminum sheet metal with thickness 150µm. the dies used were rigid, silicone rubber, styrene butadiene rubber and polyamide 66. the results showed that using semi-rigid die contribute in production improvement in terms of forming force reduction and die durability. flexible pad laser shock forming (fplsf) process was presented by nagarajan b. et al. [6] to investigate the influence of flexible pad material and its thickness, on the deformation characteristics of different metal foils. it was observed that using rubber material with higher hardness resulted in a reduction in crater depth, foil thickness and the hardness of the crater surfaces. however, increasing the flexible pad thickness resulted in an increase in crater depth, thinning but a reduction in surface hardness. y. liu et al. [7] used rigid zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 21 dies with two different designs, concave and convex, with flexible pad to produce micro channels. the results showed that the concave design of die more suitable to fabricate micro channels and however thickness reduction in convex design was decreased with increasing aspect ratio value. c. jin et al. [8] studied the effect of rubber pad properties, speed and pressure of punch on forming behaviour of different sheet metals, stainless steel 304, aluminum 1050 and titanium. the results demonstrated that the depth of the micro channels can be increased by using softer rubber or increasing any of rubber thickness, punch speed and punch pressure. i. irthiea et al. [3] proposed a new technique for forming micro cups from stainless steel 304 sheets with different initial thicknesses using flexible pad. many process parameters were studied in this work such as anisotropy of ss 304 material, initial gap, friction conditions at various contact interfaces and initial sheet thickness. this study proved that the interaction among the adopted parameters result in producing successful micro cups with high aspect ratio and high quality. wang at el. [9] introduced a novel laser dynamic flexible forming technique through experiments and numerical simulations. the results showed that increasing the thickness of the soft punch leads the depth of the formed sheet to decrease. also, as the pulse energy increases the deformation depth increase as well. the deep drawability of ultrafine grained copper sheet of 0.4mm thickness was studied by ma et al. [10] using the method known equal channel angular pressing (ecap) for various ultrafine grained microstructure. it was obtained minimum limit drawing ratio with one ecap pass and increasing the number of passing caused a slight increase in the limit drawing ratio. the same observation was pointed by lapovok et al. [11] in a study achieved on ultrafine grained aluminum sheet. this work presents a novel flexible toolassisted micro deep drawing process (ftamdd) of stainless steel 304 foil using polyurethane rubber ,55 shore a hardness, as forming die with floating ring technique. the circular blanks used as process workpieces were cut from ss 304 foil of 100μ with 10mm diameter. the novelty point of this study is to use a floating ring part, as assistant die, in cooperating with flexible die to produce micro cups with high quality in terms of wall thickness and dimensions. the finite element simulations were built using the commercial code abaqus/standard. serious of micro deep drawing experiments were implemented to validate the fe models. the main purpose of this work is to evaluate the feasibility of the proposed technique in miniaturization technology. there was observed a good correlation between the simulation and experimental results in terms of final cup shape, thickness distribution, punch force and maximum reduction in thickness. 2. proposed methodology (innovative technique) in the proposed technique, the forming process is divided into three main steps to obtain complete micro cups. in the first step, the forming depth will be equal to the floating ring thickness where the lower face of workpiece will be just get into direct contact with the rubber pad surface. in the second step, the solid punch will keep pushing the shallow-formed blank into the flexible die, generating a hydrostatic pressure in the rubber material. this action will basically result in forming both the sheet blank and rubber die simultaneously. fig. 1. forming system of the proposed technique. hereafter, the rubber material will push up the floating ring and consequently the blank as well towards the blank holder against the holding spring through the initial gap allocated between the adjustment ring and the blank holder. at the moment when the adjustment ring touches the zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 22 blank holder plate the third step begins in which the forming processing process is terminated under the effect of the punch force and the hydrostatic rubber pressure. 3. characterization of material behaviors 3.1 preparation of tensile test specimens chromium-nickel stainless steel 304 foils (ss 304), which its chemical composition is illustrated in table 1, with initial thickness of 100μm are used in this study for process workpieces. the many advantages of stainless steel 304 such as anticorrosion and lifetime of products make the fabrication and industrial applications of ss 304 sheets remarkably increases [3]. table 1, chemical composition of stainless steel 304 sheet metal. the effect of the anisotropic behaviour (due to the rolling operation) of the ss 304 foil are evaluated here through cutting dogbone-shaped specimens along rolling, diagonal (45°) and transverse directions. the dimensions for the dogbone specimens are obtained from the astm e8 [12] standard as shown in figure 2a. however, the very thin stainless steel sheets are very difficult to cut directly using traditional methods and tools as they may fold through handling and cutting or rough cut edges may be obtained. to solve this problem, the stainless steel sheet is clamed between two perspex plates of 1cm thickness and the cutting operation is then carried out. high attention is paid for that area near the cutting edge where number of fasteners are specifically fixed at this area to ensure additional support to prevent relative shaking as explained in figure 2b. the specimens of ss 304 are cut by using cnc cutter machine from c-tek company with spindle velocity equal to 2500 rpm and cutter tool with 2mm diameter, as shown in figure 2c. (a) (b) (c) fig. 2. (a) dogbone sample (b) drilling system (c) cutting process of dogbone samples. 3.2 tensile test of ss 304 material the tensile tests of ss 304 dogbone-shaped specimens are carried out using the universal tensile machine supported by the laryee company to the center of nano technology / university of technology. the load capacity of the laryee machine is 100kn with accuracy +/ 0.5% as shown in figure 3. the contact conditions between grips surface and specimen surface has a crucial influence on testing results, especially with thin metals. in order to avoid folding the dogbone-shaped specimens of the tensile test, often at the profile radius, it was observed that the friction force at the interface between the grips and specimen should be increased. this action will prevent any probable sliding of the specimen with the surfaces of gripers. owing to do that, pieces of sand papers were inserted at the specimen/gripers interfaces. cr mn ni c fe 17-20% <2% 8-11% <800 balance zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 23 the tensile test achieved at velocity of 0.2mm/s. through test stroke and at 20% of total longitudinal strain, a picture is taken for the loaded specimen utilizing a digital camera and this picture is then analyzed by a special software for image processing to evaluate the lateral strain. fig. 3. (a) laryee machine (b) dogbone sample before the test (c) dogbone sample after the test. the purpose of this action is to evaluate the lateral strain at this point. figures 4 and 5 present the engineering and true stress-strain relationships obtained from the tensile tests for the stainless steel 304 foil with 100μm thickness adopted for the forming blanks in this work. the mechanical properties that obtained from tensile test are recorded in table 2. table 2, mechanical properties of ss 304 foil. fig. 4. engineering stress-strain for ss304. fig. 5. true stress-strain for ss304. 4. material models in fea simulation 4.1 anisotropy of stainless steel foil the commercial code abaqus/standard software was employed in this study to develop fe simulations for the flexible tool-assisted micro deep drawing. to characterize the deformation behaviour of ss 304 foils, an elastic-plastic model was adopted. to build this model, 8300 elements with mesh type of 8-node linear brick, reduced integration and hourglass control (c3d8r) as shown in figure 7a. the boundary conditions of blank are at zaxis direction as xsymm (u1=ur2=ur3=0) while at x-axis direction as zsymm (u3=ur1=ur2=0). the plastic anisotropy is introduced by using hill's criterion. f�σ�=� f�σ��-σ���2+g�σ��-σ���2+ h�σ��-σ���2+2lσ��� +2mσ��� +2nσ₁₂² …(1) the material constants f, g, h, l, m and n are obtained from tensile tests in different orientations and σij refers the stress components [13]. these constants are defined as: f � 12� 1r��� � 1r��� � 1r��� � … �2� g � 12� 1r��� � 1r��� � 1r��� � … �3� h � 12� 1r��� � 1r��� � 1r��� � … �4� l � 32r₂₃² m � 32r₁₃² n � 32r₁₂² … �5� the factors r11, r22, r33, r12, r13 and r23 are anisotropic yield stress ratios. due to the stress situation in sheet metal forming processes are characterized by plane stress conditions therefore thickness (mm) e (gpa) σo (mpa) σult (mpa) εult % k (mpa) n 0.1 0° 194 291 540 19.51 1213.10.3708 45° 149 324 625 24.86 1298.90.3469 90° 181 310 622 23.20 1444.70.4103 zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 24 four anisotropic ratios are considered in this work which are r11, r22, r33 and r12 [14]. in abaqus software, these factors are expresses using lankford factors as r0, r45 and r90 as following equations [15]: r22=�r90�rₒ+1� rₒ�r!"+1� r33=�r90�rₒ+1� rₒ+r!" r�� � � 3r₉ₒ�rₒ � 1��2r₄₅ � 1��rₒ � r₉ₒ� … �6� where r0, r45 and r90 are width strain to thickness strain ratios of the work-piece material at the rolling, diagonal and transverse directions, respectively. the values of (r) and (r) of ss 304 sheets employed in the current work are calculated using the above equations, as shown in table 3. table 3, plastic strain ratios and anisotropic yield stress ratios. fig. 7. (a) fe model of ss 304 blank (b) fe model of flexible pad. 4.2 hyper-elastic model for rubber pad material to describe the behaviour of the polyurethane rubber used for the flexible die, the known mooney-rivlin hyperelastic model is adopted in the fe model. it is known that polyurethane rubber is characterized by a nonlinear stress– strain relation for large deformation, as well as it is nearly incompressible. the strain energy form of mooney–rivlin is: w=c10(i1-3)+c01(i2-3)+(j1-1)/d1 …(7) where w is the strain energy per unit of volume, i1 and i2 are the strain invariants, j is volume change. c10 and c01 describe hyperelastic rubber deformation, and d1 indicates the material compressibility [16]. the deformation behavior of rubber material was described by using hyperelastic model. this part has 13806 elements with mesh type 8-node linear brick, hybrid, constant pressure, reduced integration and hourglass control (c3d8rh). the mechanical properties of the polyurethane rubber 55 shore a hardness are presented in table 4 [17]. table 4, mechanical properties of polyurethane rubber materials. hardness shore a m–r constant c10 (mpa) m–r constant c01 (mpa) poisson’s ratio (v) 55 0.382 0.096 0.4999 the process geometry dimensions adopted in this study are listed in table 5. the coefficients of friction adopted at the different contact interfaces in the finite element models are presented in table 6. table 5, geometrical parameters of flexible micro deep drawing model. parameters value(mm) blank diameter blank thickness punch diameter radius of punch corner height of rubber pad diameter of rubber pad thickness of flat floating ring diameter of floating ring radius of inner corner of floating ring 10 0.1 4 0.8 10 12 1 13 0.75 table 6, coefficients of friction adopted at different interfaces. interface coefficient of friction blankholder / blank floating ring / blank rubber pad / blank punch / blank floating ring / rubber pad adjustment ring / blankholder 0.1 0.05 0.1 0.25 0.05 0.05 rolling direction eng. length strain eng. width strain thickness strain plastic strain (r) 0° 0.2 -0.40 0.6931472 0.73696559 45° 0.2 -0.69 1.3535045 0.86529668 90° 0.2 -0.44 0.7621401 0.76077683 r11 r22 r33 r12 1 1.00912 0.93929 0.98455 zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 25 5. experimental set up to conduct micro deep drawing experiments under that conditions a special device is required to be manufactured with accuracy level meets the operation requirements. the device consists from three main groups of parts; the first group includes the movable parts and the second includes fixed parts, then the floating part as shown in figure 8. the movable group involves in turn two subgroups, the first one consists of rigid punch and punch plate, while the second one consists of middle plate, blankholder, blankholder house, adjustment ring, three adjustment studs and holding spring. the rigid punch has a threated head at which it is attached to the punch plate and both of them connect to the compression machine grip through a span. the blank holder house and middle plate are connected together using three studs. the other function of these three studs is to adjust the distance between blank holder and middle plate from a side and the distance between the blankholder house and the adjustment ring from another side. the last distance actually represents the initial gap, mentioned in figure 1, through which the blankholder move up just against the holding spring force. the second main group, i.e fixed parts, consists of the heavy base of the device, three guides, rubber pad house and the upper ring. the rubber pad material that manufactured by par group ltd. in the uk with grade 55 shore a has geometrical properties as the height equal to 10mm and 12mm as diameter. the difference between the height of rubber container and rubber pad equal to 5mm, through this space the floating ring will be placed and the remaining space is for the blankholder. the last component of the device developed for the current experiments is the floating ring which represents the novel point of this research. the dimensions of flat floating ring are the thickness equal to 1mm and the outer, inner diameters equal to 12mm and 4.24mm, respectively and the inner hole has edge curvature equal to 0.75mm. 6. experiment procedure in micro sheet metal forming, the blanking operation has high importance as it is represented a crucial action on which the success of micro forming process significantly depends. to carry out blanking process, a set of punch /die tool with specific dimensions is utilized. the most important parameter in any sheet blanking operation is the clearance between the punch and die. in order for high quality cutting process, a clearance of about 12–24 % of the initial foil thickness should be adopted for the punch/die set [4]. thus, the blanking tools used in the current work were designed and manufactured with clearance of 20% which means approximately 20μm (see figure 9). fig. 8. flexible too-assisted micro deep drawing device. fig. 9. (a) blanking tools (b) blanks of ss304 with 10mm diameter. the flexible micro forming experiments were implemented using laryee machine which has the load capacity equal to 100kn with accuracy +/0.5%. to start the experimental procedure, firstly an initial gap is adopted very carefully and accurately between the adjustment ring and the blankholder house. thereafter, the outer studs are tightened on the upper plate and let the punch plate free at this step. through this procedure will permit more support to the device during the zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 26 forming process. the next step is to insert the floating ring onto the rubber pad die and then insert the blank over the floating ring and ensuring from it’s in the correct position. fig. 10. components of device. now, the device ready to setup on the universal machine and attach the upper span to the machine grips. the forming was done with 1mm/s as forming speed until reaching the specified depth. figure 10 shows the components utilized in the micro forming operation. 7. results and discussions the crucial parameter of evaluating the product quality is the thickness distribution along the entire cup wall. therefore, a homogenous thickness distribution of the product represents indication of good quality. therefore, a special technique required to obtain good cutting process. in this study, we used the epoxy liquid which mixed carefully with its hardener. thereafter, the solid system is extracted from the die. now, the cup is ready for cutting process. the cutting process was done by using mechanical cutter machine with blade cutter thickness equal to 0.1mm. to obtain a good status of edge of cup, the cut face is polished using very fine sand paper. figure 11 shows the section of epoxy and metallic cup cut along the rolling direction. after that, the thickness distributed along wall cup was evaluated by using microscope machine to determine the real value the thickness at every point of wall cup. fig. 11. section of epoxy material and metallic cup. 7.1 thickness distribution this section includes the results that obtained from the experiments of micro deep drawing and validate these results with that obtained by fe simulation under the corresponding conditions. in this study, there are two parameters studied for one case such as thickness distribution and loaddisplacement relation. to study these parameters, the conditions that adopted in the experiments procedure were as following: punch diameter was 4mm with head radius 0.8mm, rubber pad diameter was 12mm with height 10mm, initial blank thickness 0.1mm with 10mm as diameter, floating ring thickness was 1mm with shoulder radius 0.75mm and forming velocity was 1mm/s. among these parameters the initial gap that adopted has a crucial effect on the forming process. the unsuitable gap distance leads to failure the product as shown in fe simulations. figure 13 shows the cups obtained from micro deep drawing experiments. firstly the fracture part, as mentioned above the gap value has a crucial effect so that at this case due to gap distance very small, the fracture occurred. this type of failure was verified through fe simulation for the same reason in figure 12. zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 27 fig. 12. comparison the failure cups through simulation and experiment drawing. on the other hand, micro cups with wrinkling was obtained when the adopted gap is greater than the optimum one, this action allow for the blank to deform freely for longer time through the deeper gap without supporting force. the folds appear firstly at the flange portion and then move along to cup-side wall gradually with the forming stroke. also, this type of failure was verified by fe simulation as shown in figure 12. afterward, great efforts were done to adjust the appropriate gap which finally found to be 0.2mm for the conditions taken into account to produce successful cups as shown in figure 13. the figures 14 and 15 presented a comparison of thickness distributions of wall cup for simulation and experimental. the results showed well match of the results that obtained by simulation and experimental along rolling and transverse directions. this indicate to the results that obtained by experimental agree with the predictions of simulation results. the maximum thinning occur at profile radius region for both simulation and experiment along rolling and transverse directions. after that, the tendency of thinning disappeared at side wall region and the thickness of wall increased gradually to be thickening at the upper part of side wall. in general, the thickening trend continued until reaching the maximum value at the ending part of shoulder radius region. then, the thickening decreased along flange portion. for more realization, figure 16 present percentage of maximum thinning that occur for both simulation and experimental results along rolling and transverse directions. fig. 13. physical micro formed cups. fig. 14. thickness distributions of wall cup at rolling direction. the maximum thinning was 17% along rolling direction of physical cup. while, the simulation result revealed decreasing the tendency of thinning to be 14%. on other side, the transverse direction don’t display a significant thinning variation between the simulation and experimental results. where the maximum thinning was 13.44% for simulated cup while 13% for physical cup. zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 28 fig. 15. thickness distributions of wall cup transverse direction. fig. 16. maximum thickness reduction. 7.2 load-displacement relationship figure 17 present the relation between load and displacement of punch for both simulation and experimental of cup drawing. in general, the curves showed the same trend during the forming process until reaching the maximum value of load. firstly, the experiment curve showed increasing dramatically due to the forming tools are initially in contact with them which lead to make the force required higher than that obtained by simulation. although, the experiment curve is higher than that obtained by fe simulation. but, the last step revealed the experiment load decreased to be less than that predicted by fe simulation. this effect may be due to the rubber container diameter is relatively greater than as adopted in simulation model that lead to expanding the rubber in radial direction. fig. 17. comparison punch load-displacement relation for both simulation and experiment. the difference between these curves due to the experimental difficulty to determining the coefficient of friction between the interfaces of forming tools. also, the device of experiment drawing consist of different parts have a contact between them. all these parameters may be lead to the experiment load higher than that obtained by simulation drawing. the maximum load that obtained by simulation was 412.35n while the experiment load was 396.47n. on other side, the novel proposed technique revealed the feasibility to produce micro cups with aspect ratio higher than unity through one stroke of forming. the results that obtained by simulation process to produce cups with aspect ratio 1.25 are validated by experiment process. the same conditions that adopted in simulation process are used in the process of experiment. the physical cup showed a good correlation with that predicted by simulation in term of geometrical profile. also, it can denote that there is a good matching between the two parts in term of the effect of anisotropic behavior of ss304 sheet metal. figure 18 presents a comparison between the simulation and physical parts. fig. 18. comparison between physical and simulated cups that have aspect ratio 1.25. zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 29 8. conclusion the current study presents a novel technique for micro deep drawing of stainless steel 304 cups through using a floating ring concept with the technology of flexible tool. an experiments and fe simulations were achieved to validate the feasibility of the proposed technique. the forming procedure starts with adopting a particular initial gap the blank holder and the adjustment ring. this gap allows for all of blank, blankholder and floating ring to move up just against the force of holding spring under the effect of the hydrostatic pressure excited in the rubber material-die. basically, the main function of the floating ring part is to define the dimension of the required product at the profile radius as well as to work as an assistant die allowing for the blank to form initially without rubber pad-excited hydrostatic pressure for a partial period of the whole forming stroke. the important finding here is that the current technique exhibits a clear role in reducing the influence of the anisotropic behaviour of ss 304 sheet on the thickness distribution of formed cups. it was observed that using the technique of floating ring results in reducing the maximum external load required to complete the forming stroke compared with the results obtained by i. irthiea. another finding is that a good correlation between the simulations and the experimental results was obtained. this study proved the capability of the new technique to be adopted for prototyping micro forming processes. moreover, the study revealed the feasibility of the proposed technique for producing micro cups with remarkable application flexibility in miniaturization technology as micro cups with relatively high aspect ratio of 1 and 1.25 through just a single micro forming stage. 9. references [1] y. m. huang & y. s. wu & j. y. huang, “the influence of ultrasonic vibrationassisted micro-deep drawing process”, international journal of advanced manufacture technology, (2014) 71:1455– 1461. [2] masoomeh salahshoor & abdolhamid gorji and mohammad bakhshijooybari, “the study of forming concave-bottom cylindrical parts in hydroforming process”, international journal of advanced manufacture technology, (2015) 79:1139–1151. [3] ihsan irthiea, graham green, safa hashim and abdulbast kriama, “experimental and numerical investigation on micro deep drawing process of stainless steel 304 foil using flexible tools”, international journal of machine tools & manufacture, (2014) 76:21–33. [4] ihsan k. irthiea and graham green, “evaluation of micro deep drawing technique using soft die-simulation and experiments”, international journal of advanced manufacture technology, (2017) 89:2363– 2374. [5] quadrini f, santo l, anna e (2010) flexible forming of thin aluminum alloy sheets. int j mod manuf technol, ii: 79–84. [6] balasubramanian nagarajan, sylvie castagne, zhongke wang, h.y. zheng and kartikeyan nadarajan, “influence of plastic deformation in flexible pad laser shock forming – experimental and numerical analysis”, international journal of material forming, 1-15. [7] liu y, hua l, lan j, wei x, “studies of the deformation styles of the rubber-pad forming process used for manufacturing metallic bipolar plates”, j power sources, (2010) 195:8177–8184. [8] c. kyu, m. geun, and c. gil, “effect of rubber forming process parameters on micropatterning of thin metallic plates,” procedia eng., vol. 81, pp. 1439–1444, 2014. [9] wang x, du d, zhang h, shen z, liu h, zhou j, liu h, hu y, guc, “investigation of microscale laser dynamic flexible forming process-simulation and experiments”, international journal of machine tools & manufacture, (2013) 67:8–17. [10] x. ma, r. lapovok, c. gu, a. molotnikov, y. estrin, e. v. pereloma, c. h. j. davies and p. d. hodgson, "deep drawing behaviour of ultrafine grained copper: modelling and experiment", journal of material sience, vol. 44, pp. 3807-3812, 2009. [11] r. lapovok, i. timokhina, p. w. j. mckenzie and r. o’donnell, "processing and properties of ultrafine-grain aluminium alloy 6111 sheet", journal of materials processing technology, vol. 200, pp. 441450, 2008. [12] american society for testing and materials astm, “standard test methods for tension testing of metallic materials,” am. assoc. state, pp. 1–27, 2010. zaid h. mahmood al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 2031 (2018) 30 [13] le port a, toussaint f and arrieux r, “finite element study and sensitive analysis of the deep drawing formability of commercially pure titanium”. international journal of material forming, (2009) 2:121– 129. [14] d.v. hai, s. itoh, t. sakai, s. kamado, y. kojima,”experimentally and numerical study on deep drawing process for magnesium alloy sheet at elevated temperatures”, materials transactions, (2008) 49:1101–1106. [15] ihsan khalaf irthiea, “process analysis and design in micro deep drawing utilizing a flexible die,” university of glasgow, 2014. [16] l. crocker and b. duncan, “measurement methods for obtaining volumetric coefficients for hyperelastic modelling of flexible adhesives”, performance of adhesive joints program, project pajex2 flexible adhesives, pajex2 report no 3. [17] linfa peng, peng hu, xinmin lai, deqing mei, jun ni, “investigation of micro/ meso sheet soft punch stamping process— simulation and experiments”, materials &design, (2009) 30:783–790. )2018( 20-31، صفحة 3د، العد14دجلة الخوارزمي الهندسية المجلمزيد حمد محمود 31 الطافي تحقيق عملي ومحاكاة لعملية سحب عميق مايكروية بأدوات مرنة بأستخدام تقنية الحلق ***كاظم احمد عبد** إحسان خلف رثيع* حمد محمودزيد العراقاالنبار/ /رجامعة االنباقسم الهندسة الميكانيكية/ كلية الهندسة/ zaid_eng88@yahoo.com :البريد االلكتروني** ih77san@yahoo.co.uk :البريد االلكتروني** الخالصة بأستخدام أدوات مرنة عند مستوى ابعاد عملية تشكيل الصفائح المعدنية التشكيل المايكروي للمعادن يملك قابلية تطبيق هى مجاالت صناعية مختلفة. ً تقنيات التشكيل التي تملك جذبمن بين دمايكروية يع الهتمام الباحثين. عملية التشكيل هذه مناسبة النتاج مركبات مايكروية كونها عملية رخيصة، اً متزايد ا ً قالب بوصفهسحب عميق مايكروية مبتكرة من خالل استخدام حلق طافٍ . هذه الدراسة تقدم تقنيةتؤدي الى منتجات عالي الجودة و نسبيا معدل انتاج عالٍ ا العينة والوسادة المرنة. وظيفة وفق هيئة هندسية معينة يوضع بين على قالب تشكيل رئيس. الحلق الطافي المصممبوصفها مرنة وسادة الى جانب اَ مساعد منتجات مايكروية على شكل كؤس مصنىوعة من فوالذ مقاوم للصدا بأبعاد عالية الدقة. مودبالت العناصر المحددة الحلق الطافي في هذا العمل هي انتاج ليالقي متطلبات انجزت باستخدام برنامج . الثبات صحة النتائج النظرية مجموعة تجارب سحب عميق أجريت بأستخدام جهاز صمم وصنع خصيصا أن التقنية المقترحة في هذه الدراسة هي ذات جدوى النتاج منتجات مايكروية التي تملك امكانية تطبيق عالية في التكنولوجية أثيتت بالموديل النظري. النتائج صغيرة االبعاد. free-vibr-1 dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٨٦ al-khwarizmi engineering journal al-khwarizmi engineering journal, vol.1,no.2,pp 86-102, (2005) free vibration analysis for dynamic stiffness degradation of cracked cantilever plate dr: hussain a.dawood oday. i. abdullah mechanical engineering department nuclear engineering. department. college of engineering/ university of baghdad college of engineering/ university of baghdad (received 29 august 2005; accepted 27 october 2005) abstract: in the present work a dynamic analysis technique have been developed to investigate and characterize the quantity of elastic module degradation of cracked cantilever plates due to presence of a defect such as surface of internal crack under free vibration. a new generalized technique represents the first step in developing a health monitoring system, the effects of such defects on the modal frequencies has been the main key quantifying the elasticity modulii due to presence any type of unvisible defect. in this paper the finite element method has been used to determine the free vibration characteristics for cracked cantilever plate (internal flaws), this present work achieved by different position of crack. stiffness reduction in term of elastic material properties is analyzed through a parametric study of crack density factor. results are given for young’s modulus and shear modulus variation with respects the vibrational characteristics. key words: free vibration, cantilever plate, stiffness degradation. 1. introduction in many branches of modern engineering the vibration of cantilever plate, plays an important role in the design and operation of the final engineering systems. whether one is concerned with propellers, turbine cantilever plates, or satellite booms, where the vibrational behaviors of such system is perpendicular to the plane of rotation, this behavior is one of the most serious problems that should be studied and considered. basically in the most general terms damage can be defined as changes introduced into system that adversely affect the future performance of the plate structure. thus, the study of damage identification in structures will be limited to changes of material and for/or geometric properties, but still the need for the ability to monitor and detect damage at earliest possible stages is objected engineering aim. such investigations of damaged plates are determined whether the damage dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٨٧ recognized by measuring the vibration characteristics so that, severe damage can be prevented, the need for quantitative global damage detection techniques that can be applied to complex structures. this vibration based damaged defection is deals with the significantly alter the stiffness, mass or energy dissipation properties of plates. such structural element in rotor craft requires assessment of their dynamic tolerance, and then accurately predicting technique tool for the behavior of damaged structure [1]. the dynamic analysis under present of internal (invisible) flaws is an important issue of the structural investigation and design, and determine the free vibration characteristics often appears to be the fundamental task in dynamic analysis [2]. carnaege studied the vibration of cantilever plate by using the energy method [3]. the increment of strain energy due to rotation was first investigated. further studies of the vibration characteristics of thin cantilever plates using the finite difference method [4] and the extended holzer’s method [5] were presented by carnaege and co-workers. krupka and baumanis [6] studied the bending bending mode of a cantilever plate including rotary inertia and shear deflection by the myklestad method. stafford and giurgiutiu [7] used a semi-analytic method based on transfer matrix method to study a timoshenko beam. abbas [8] and thomas and abbas [9] developed a finite element model which can satisfy all the geometric and natural boundary conditions of athick non-cantilever plate. abbas [10] further used the finite element model for a thick cantilever plate with flexible root. the effect of the local flexibility of a cracked column upon its buckling load was studied by liebowitz et al. [11,12] and okamura et al. [13]. riceand levy [14] recognized the coupling between bending and extensional compliance of a cracked column in compression. dimargonas [15], dimargonas and paipetis [16] and chondros and dimargonas [17] studied the effect of cracks upon the dynamic behavior of cracked beams. the effect of peripheral cracks upon the torsional vibration of a rod of circular crosssection was studied by dimarogonas and paipetis [16]. recently, design for durability can be important reason for the long time material performance, thus for a rotational design it is necessary to quantify the damage tolerance of the cantilever plate. the assessment of this tolerance requires a capability to simulate the progressive damage and cracks characters of structures and loading. a different type of defects and typical notable in cantilever plates and the presence of these defects changes the dynamic characteristics of structure [18]. these changes can be used to identify the existence location and magnitude of effect damage, before they can grow to their critical size [17]. the present work will be concerned with the main macroscopic effects of cracks on cantilever plates, where such defects effects is reduction of stiffness. where it is more deterministic than strength, such reduction can be related to physical damage, in present work the characteristics features of the stiffness reduction cantilever plate will be considered, and investigated under unique boundary condition, while the material properties presented by elastic module take as variable, it must be realized that the changes in deformations response are given by the total changes in stiffness matrix if the crack is presence and characterized. dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٨٨ 2. theory in the present work, the finite element formulation for a superparametric shell element is introduced followed by the required procedure to evaluate the eignvalue problem, for calculating natural frequencies, the present proposed technique, proceed for investigate the influence of cracks. the present element is a modified form of shell element described by ahmed [20] is selected. the super parametric shell element with eight nodes and five degree of freedom at each node is investigated. it is presented by zienkiewicz [21]. which the geometric shape functions are higher order than the displacement shape functions. the element is called a superparametric element. if the reverse the element is called subparametric. the superparametric shell elements are derived from the original threedimensional isoparametric elements. the development and application of isoparametric family of elements is presented by zienkiewicz [21]. 2.1. free vibration analysis if any elastic structures are disturb in an appropriate manner initially at t=0, the structure can be made to oscillate harmonically. this oscillatory motion is a characteristic property of the structure and it depends on the distribution of mass and stiffness in the structure rao [19]. the oscillatory motion occurs at certain frequencies known as natural frequencies or characteristic values, and it follows well define deformation patterns known as mode shapes or characteristic modes. the equation of motion by assuming the external force vector {r} to be zero; i.e. homogenous equation; and the displacements to be harmonic [22] so: [m]{u&& }+[k]{u}=0 …(1) ui =φi sin (ωi t+θi) i=1,2,….dof …(2) in this harmonic expression, φi is a vector of nodal amplitudes (mode shape) for the ith mode of vibration. the symbol ωi represents the angular frequency of mode i, and θi denotes the phase angle. by differentiating eq. (2) twice with respect to time t to get: )sin(2 iiiii tu θωω +φ−=&& …(3) substitution of eq. (3) and eq. (2) into eq. (1) allows cancellation of the term sin (ωi t+θi), which leaves, 0])[]([ 2 =φ− ii mk ω …(4) eq. (4) has the form of the algebraic eigenvalue problem. the most efficient type of eq. (4) for structural vibrations accepts the eigenvalue problem only in the following standard, symmetric form: 0])[]([ =− ii xxia λ … (5) in which [a] is a symmetric matrix (dynamic matrix) and [i] is an identity matrix. the symbol iλ denotes the ith eigenvalue. and xxi is the corresponding eigenvector for a new system of homogeneous equations. putting eq. (4) into form of eq. (5) by factoring either matrix [k] or matrix [m], using the cholesky square root method (which is a direct method for solving a linear system which makes use of the fact that any square matrix [a] can be expressed as the product of an upper and lower triangular matrix, weaver [22] ). the step solution to solve eq. (4) by using this method (if the stiffness matrix is positive definite) was: dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٨٩ achoosing of factor [k] for an important reason that will soon be apparent. thus: [k]=[q]t [q] …(6) where the factor [q] is an upper triangular matrix, bsubstituting eq. (6) into eq. (4) to obtain: 0])[][]([ 2 =φ− ii t mqq ω … (7) cpre-multiply this equation by [q]-t and insert i= [q]-t [q] after matrix [m], which yields: 0])[][]([][ 2 =φ−− ii tt mqqq ω … (8) drearranging terms in reverse order, this found that: ([m a] –λi [i])φai =0 … (9) where, [ma] = [q] -t [m] [q]-1 and 2 i i 1 ω =λ ; φai =[q] iφ ...(10) edetermination the angular frequencies and mode shapes (in original coordinate): aii i i q φ=φ= −1][;1 λ ω … (11) because the matrix ma in the new coordinates is symmetric, all of its eigenvectors are linearly independent. 2.2. crack characteristics modeling dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٠ following the suggested procedure for the crack characterization of the damage mode and free vibration consideration, for simplicity in one offexist plane, and the thickness of the cracking )( 1t , and )(t is the total thickness of plate. let )(b is the width of a typical crack, which for a uniformly vibrated cantilever plate. the study of cracked cantilever plate is based on the assumption that cracks can be modeled as a statically uniform array localized in a specified position at surface, in transverse direction. usually these cracks almost instantaneously propagate through the thickness of the plate. fig (1) describes schematically the geometrical dimension a of cracked damaged cantilever plate. the damage vector in cantilever plate can be defined as a different mode for presenting the states of defects. in the present work the focusing study on the most common type, which and surface cracks, then the point of concentration subjected to the failure tolerance in working performance of such cantilever plates, so the attempts of the stiffness degrading quantification based on condition of unchanged geometry and boundary condition, and loading where the remain effective parameters still the elastic material properties (i. e ν,,ge ). firstly, it is important to focus the light on the stiffness-damage relation, the connected to dynamic load conditions. consider now load-time history, illustrated in fig (2-a), which induced damage in given cantilever plate [17]. if the loading is interrupted at times )...,,,( 321 etcttt and the cantilever plate is subjected to small, monotonically increasing stress with rotational speed increasing stresses at these times such that no additional damage is induced under these stresses then we might obtain the stressstrain behavior illustrate in fig. (2-b). thus the changes in stiffness with time )(t would reflect the development of damage under the applied load-time history. based on this fact the present study aims for investigation the reduction in modules of elasticity (both of axial, torsional modulus, at the same time it is important to quantify this changes effects in material properties to decide the critical damage tolerances, then therese assessment the cost-effective performance). 3. results and discussion several numerical investigations are conducted to characterize the dynamic detection of cracked cantilever plates under free vibration consideration, comparisons are made between the response of healthy cantilever plate and other cracked ones. then a parametric study is the main purpose of using the developed computer program. firstly results showed this numerical methodology technique a accurately predicts the undamaged reduction in natural frequencies, for comparison examples of detailed validation studies, then a various parameters effects being taken into consideration with a new developed dynamic stiffness degradation of cracked cantilever plate. the present works were compared with experimental and theoretical results in ref. [23] to find the natural frequencies. table (1) explains the current results with experimental and theoretical results in ref. [23], and the values of percentage error with experimental and theoretical results. table (1) shows that the percentage errors between the current results with experimental results are less than the percentage error between the dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩١ experimental results and theoretical results in ref. [23]. the calculating frequencies of cracked plated are proceed the proposed block diagram in fig. (3), [24]. the following case will be used as verification case to the equations derived in this work. the results to be presented here obtained by using the following data [21]: e=200 g mn / , ρ =7850 3/ mkg , 3.0=υ width of cantilever plate )(b =0.025 m, thickness of the cantilever plate )(t =0.011m the numerical values of the fundamental natural frequencies for different length are shown in table (1). the numerical results reported in table (1) show good agreement with the experimental and theoretical results in ref. [23]. for this table, it can be observed that when length decreased, the percentage error increased especially with experimental result. the second set of results will initiate the tendency of changes in the elastic parameters with the variation of crack location and relatively length. in figs.(4),(5),(6),(7) the percentage loss in elastic modules with different location of crack (l1/l)at certain relatively crack length(t1/t), are seems logically changes, in dramatic form , where it is maximum near the fixed end , then decreases as far as the crack tends to be closer from the free end, these values starts with 5% approximatly closer to clamped edge , and tends to 1.5% at (l1/l) =0.4, the same trend can be noticed from all mentioned figures but with different grades. in the next demonstrated figures, are shows the inversely relatively crack length variation at different location. the figs. (8), (9), (10) and (11), shows the percentage losses in elastic modulus with quantification values. the distinguished changes from these figures indicates the increasing of these quantified losses values with increasing relatively crack depth it can be noticed clearly, and such behavior refer to the clear degradation in stiffness. the normalized elastic modulus changes with different crack length and location is shown clearly .the degree for stiffening the cracked cantilever plate can be related by recognized the normalized reduction degree for each location and relative length under one crack only. where the resonant frequencies are enforced in iterative process for determining the percent variation in elastic stiffness parameters, where the geometry and boundary conditions are considered fixed parameters under free vibration analysis. .the results from this mode analysis for cracked cantilever plate can be input initially for the iterative during natural frequency calculation where it is used as a designated point for reaching, when some elastic modules are changed. where the recalculation the normalized elastic modules (ec/eh) ratios, the influence of stiffness losses degree on the axial and shear stiffness, are well documented to an accurate variation in elastic modules figures.(12),through (15), shows the percent variation in axial and shear stiffness modules, ratios (ec/eh) ,and (gc/gh) for cracked cantilever plates having such dynamic characteristics , the clear percentage changes are clear starts at 5% for this case study as an example , tends to 2% nearly, free edges .the same note it can be distinguished from the reduction in axial/shear ratio variation with different cracks length or location. finally, the correlation between the present reduction, and stiffening in elastic modules ratio with dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٢ different crack length or location on dynamic characteristics detection signifies the importance of plate stiffness .and more detailed observations can be useful in the development of damage indices for durability detection based on vibration techniques 4. conclusion the present work gives a simplified design methodology for determining the dynamics stiffness characteristics degradation based on the crack location and thickness variety. this design methodology is can be provide a design charts for any types of surface damages. the conclusions obtained from the present analysis can be summarized as follows: 1. the crack position is very important and effective on the frequency parameters, the maximum effect of crack occur at the fixed end of cantilever plate and the minimum of crack occur at near of the free end. 2. the maximum value of relative frequency reduction is (4.85%) at ]3.0)/[( 1 =tt and ]0)/[( 1 =ll . 3. the maximum value of relative elastic modulus reduction and relative shear modulus reduction is (9.44%) at ]3.0)/[( 1 =tt and ]0)/[( 1 =ll . dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٣ table 1. values of the fundamental natural frequencies for different length of cantilever plate. length (m) present exp. ref.[23] theo. ref.[23] error % exp. theo. 0.0635 2268.35 1968.3 2282.20 15.44 0.60 0.0529 3268.49 2736.8 3286.30 19.42 0.54 0.0454 4437.58 3594.7 4473.10 23.44 0.79 0.0397 5803.33 4550.0 5842.40 27.54 0.66 0.0353 7340.22 5513.5 7394.30 33.13 0.73 0.03175 8546.00 6731.80 8358.70 25.61 1.16 table 2. relative elastic modulus reduction variation with varies (t1/t) and (l1/l). ll /1 0 0.1 0.2 0.3 0.4 tt /1 0.02 0.47 0.42 0.33 0.17 0.13 0.04 0.83 0.67 0.53 0.30 0.20 0.06 1.22 0.97 0.74 0.44 0.28 0.08 1.65 1.28 0.94 0.60 0.36 0.10 2.11 1.62 1.17 0.75 0.45 0.12 2.59 1.98 1.45 0.93 0.56 0.14 3.14 2.38 1.72 1.12 0.67 0.16 3.72 2.80 2.08 1.31 0.81 0.18 4.35 3.27 2.38 1.54 0.92 0.20 5.02 3.78 2.75 1.78 1.07 0.22 5.77 4.34 3.15 2.05 1.22 0.24 6.77 4.95 3.58 2.34 1.42 0.26 7.45 5.60 4.08 2.67 1.61 0.28 8.40 6.33 4.60 3.04 1.81 0.30 9.44 7.15 5.17 3.44 2.07 dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٤ table 3. relative frequency reduction variation with varies (t1/t) and (l1/l). ll /1 0 0.1 0.2 0.3 0.4 tt /1 0.02 0.25 0.22 0.18 0.10 0.08 0.04 0.43 0.35 0.27 0.17 0.11 0.06 0.63 0.50 0.38 0.24 0.15 0.08 0.84 0.66 0.49 0.31 0.20 0.10 1.07 0.83 0.61 0.39 0.24 0.12 1.32 1.01 0.74 0.48 0.29 0.14 1.59 1.21 0.88 0.57 0.35 0.16 1.89 1.43 1.04 0.67 0.41 0.18 2.21 1.67 1.21 0.79 0.48 0.20 2.56 1.92 1.39 0.91 0.55 0.22 2.94 2.21 1.60 1.05 0.63 0.24 3.35 2.52 1.82 1.19 0.72 0.26 3.81 2.86 2.06 1.36 0.82 0.28 4.31 3.23 2.33 1.54 0.93 0.30 4.85 3.65 2.63 1.74 1.05 table 4. relative shear modulus reduction variation with varies (t1/t) and (l1/l). ll /1 0 0.1 0.2 0.3 0.4 tt /1 0.02 0.47 0.42 0.34 0.17 0.13 0.04 0.83 0.68 0.52 0.30 0.20 0.06 1.22 0.96 0.74 0.44 0.29 0.08 1.65 1.27 0.94 0.60 0.36 0.10 2.11 1.63 1.17 0.75 0.46 0.12 2.59 1.99 1.46 0.94 0.56 0.14 3.15 2.38 1.73 1.12 0.68 0.16 3.73 2.80 2.08 1.31 0.83 0.18 4.36 3.28 2.38 1.55 0.91 0.20 5.02 3.77 2.76 1.78 1.07 0.22 5.77 4.34 3.15 2.05 1.22 0.24 6.57 4.95 3.58 2.34 1.42 0.26 7.45 5.60 4.08 2.68 1.61 0.28 8.40 6.33 4.60 3.04 1.82 0.30 9.45 7.15 5.17 3.45 2.07 dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٥ (a) t1 t2 t3 t σ t=0 t1 t2 t3 ε σ (b) fig. 2 (a) a load-time history (b) stress-strain response at various times in load-time history b 1t (a) (b) fig. 1 (a) the cracked cantilever plate. (b) the section of side view of crack. d t dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٦ • compute the damaged frequency nω • compute the percentage frequency reduction )( hch ωωω − *100 start • geometric & mode specifications • (health laminates), bcs • material properties (e, g) modal analysis (numerical free vibration) out put health natural frequency ( nω ) stiffness degradation loop (i) cracked modeling quantifying frequency % shifting quantifying material properties % reduction e, g loop (ii) modal analysis of health with new properties ( nω ) e % g % if )()( ch ωω = no yes print % reduction fig. 3 the typical block diagram of the present stiffness reduction of cracked cantilever dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٧ 0 0.5 1 1.5 2 2.5 l1/l l1 / l = 0 l1 / l = 0.1 l1 / l = 0.2 l1 / l = 0.3 l1 / l = 0.4 0 1 2 3 4 5 6 l1/l [(e he c) /e h] *1 00 l1 / l = 0 l1 / l = 0.1 l1 / l = 0.2 l1 / l = 0.3 l1 / l = 0.4 0 2 4 6 8 10 l1/l [(e he c) /e h] * 1 00 l1 / l = 0 l1 / l = 0.1 l1 / l = 0.2 l1 / l = 0.3 l1 / l = 0.4 0 2 4 6 8 10 t1 /t [(e he c) /e h] *1 00 t1 /t=0 .06 t1 /t=0 .12 t1 /t=0 .18 t1 /t=0 .24 t1 /t=0 .30 fig. 4 variation of relative elastic modulus reduction with different (l1/l) at (t1/t=0.1) fig. 5 variation of relative elastic modulus reduction with different (l1/l) at (t1/t=0.2) fig. 6 variation of relative elastic modulus reduction with different (l1/l) at (t1/t=0.3) fig. 7 variation of relative elastic modulus reduction with different (t1/t) at (l1/l=0) dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٨ 0 1 2 3 4 5 6 t1 /t [(e he c) /e h] *1 00 t1 /t =0 .06 t1 /t =0 .12 t1 /t =0 .18 t1 /t =0 .24 t1 /t =0 .30 0 0.5 1 1.5 2 2.5 t1 /t [(e he c) /e h* 10 0] t1 /t=0 .06 t1 /t=0 .12 t1 /t=0 .18 t1 /t=0 .24 t1 /t=0 .30 0.970 0.975 0.980 0.985 0.990 0.995 1.000 l1/l e c/ e h l1 /l=0 l1 /l=0.1 l1 /l=0.2 l1 /l=0.3 l1 /l=0.4 0.930 0.940 0.950 0.960 0.970 0.980 0.990 1.000 l1 /l e c/ e h l1 /l=0 l1 /l=0.1 l1 /l=0.2 l1 /l=0.3 l1 /l=0.4 fig. 8 variation of relative elastic modulus reduction with different (t1/t) at (l1/l=0.2) fig. 9 variation of relative elastic modulus reduction with different (t1/t) at (l1/l=0.4) fig. 10 variation of relative elastic modulus ratio with different (li/l) at (t1/t=0.1) fig. 11 variation of relative elastic modulus ratio with different (li/l) at (t1/t=0.2) dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ٩٩ 0 .8 6 0 0 .8 8 0 0 .9 0 0 0 .9 2 0 0 .9 4 0 0 .9 6 0 0 .9 8 0 1 .0 0 0 l 1 /l e c/ e h l 1 /l=0 l 1 /l=0 .1 l 1 /l=0 .2 l 1 /l=0 .3 l 1 /l=0 .4 0 .86 0 0 .88 0 0 .90 0 0 .92 0 0 .94 0 0 .96 0 0 .98 0 1 .00 0 t 1 /t e c/ e h t 1 /t=0 .0 6 t 1 /t=0 .1 2 t 1 /t=0 .1 8 t 1 /t=0 .2 4 t 1 /t=0 .3 0 0.920 0.930 0.940 0.950 0.960 0.970 0.980 0.990 1.000 t1 /t e c/ e h t1 /t =0 .06 t1 /t =0 .12 t1 /t =0 .18 t1 /t =0 .24 t1 /t =0 .30 0.970 0.975 0.980 0.985 0.990 0.995 1.000 t1 /t e c/ e h t1 /t =0 .06 t1 /t =0 .12 t1 /t =0 .18 t1 /t =0 .24 t1 /t =0 .30 fig. 12 variation of relative elastic modulus ratio with different (li/l) at (t1/t=0.3) fig. 13 variation of relative elastic modulus ratio with different (t1/t) at (l1/l=0) fig. 14 variation of relative elastic modulus ratio with different (t1/t) at (l1/l=0.2) fig. 15 variation of relative elastic modulus ratio with different (t1/t) at (l1/l=0.4) dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ١٠٠ 5. references 1. andrew .m. erian . a, ” influence of damage on the elastic behavior of beams”, inter. journal americal hclicopter sol. 55 th, amual forum ,may 1999. 2. int. jouml structunal engineering and mechanics vol. (14), no.3(2002)245-202 3.w. carnegie, “vibrations of rotating cantilever blading” , theoretical approaches to the frequency problem based on energy methods. j. mech sci. 1, 235-240 (1959). 4.w. carnegie, c. stirling and j. fleming, “vibration characteristics of turbine blading under rotation results of an initial investigation and details of high speed test installation. proc. inst. mech. engrs 180, 1-9 (1966).. 5.w. carnegie and j. s. rao, “effect of pretwist and rotation on flexural vibrations of cantilever beams treated by the extended holzer method” bull. mech. engng eduction 10, 1971. 6.r. m. krupka and a. m. baumanis, “ bending-bending mode of a rotating tapered twisted turbomachine blade including rotary inertia and shear deflection” , j. engng. ind., asme 91, 1017 (1969). 7.r. o. stfford and v. giurgiutiu, “ semi-analytic methods for rotating timoshenko beams”. int. j. mech. sci. 17, 719-727 (1975). 8.b. a. h abbas, “ simple finite elements for dynamic analysis of thick pre-twisted blades ”. aeronaut. jnl, 450-453 (1979). 9.j. thomas and b. a. h. abbas,” finite element model for dynamic analysis of timosheno beam”. j. sound vibr. 41, 291-299 (1975). 10.b. a. h. abbas, “ dynamic analysis of thick rotating blade with flexible roots”. aeronaut. jnl, 10-16 (1985). 11.h. liebowiz, h. venderveldt and d. w. harris, “carrying capacity of notched column”. int. j. solids struct. 3, 489-500 (1967). 12.h. liebowiz and w. d. s. claus, jr, "failure of notched column", engng fract. mech. 1, 379-383 (1969). 13.h. okamura et al. , "acracked column under compression", engng fract. mech. 1, 547 (1969). 14.j. r. rice and n. levy, "the partthrough surface crack in an elastic plate", j. appl. mech. 185 (1975). 15.a. d. dimargonas, "vibrations engineering", west, st. paul (1976). 16.a. d. dimargonasand s. a. paipetis, "analytical methods in rotor dynamics". applied science, barking, u. k. (1983). 17.t. g. chondros and a. d. dimargonasand, "identification of cracks in welded joints of complex structures", j. sound vibr. 69, 531 (1980). 18.ramesh t, “stiffness properties of composites”, j. int. j. of fracture mechanics, vol(25) 12, pp (751), (1986). 19.rao s. s. “finite element method in engineering”, pergamon press, oxford, 1982. 20.ahmad s, irons b., zienkiewicz o. c. “analysis of thick and thin shell structures by curved elements”, i. j. for numerical methods in eng., vol. 2, pp. 419-451, 1989. 21.o. c. zienkiewicz, “the finite element method”, 3rd ed., mc grawhill book company (uk) limited, london, 1977. 22.wiilliam weaver and paul. r. johnston, “structural dynamic by finite elements”, standford university, pretice-hall inc., n. j., 1987. 23.b. a. h. abbas and h. irretiev, “experimental and theoretical investigation of the effect of root flexibility on the vibration characteristics beam”, j. of sound and vibration, vol.130, no. 3, pp. 353362, (1989). 24. adnan. n. j. muhsin j. jweeg, hussain a. d,"determination of dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ١٠١ dynamic characteristics, and inter laminar shear stress of composite plate under various loading", phd. theses uni. of baghdad, college of engg. mech. dept, 2004. 6. nomenclature: t : thickness of the cantilever plate (m) 1t : thickness of the crack (m) 1l : the location of the crack (m) l : the length of the cantilever plate (m) b : the width of the cantilever plate (m) he : health modulus of elasticity 2/ mn ec : cracked modulus of elasticity 2/ mn hg : health modulus of rigidity 2/ mn cg : cracked modulus of rigidity ]100*)/)[(( hc eee − : relative elastic modulus reduction )/( hc ee : relative elastic modulus ratio )/( hc gg : relative shear modulus ratio ]100*)/)[(( hch ggg − : relative shear modulus reduction 100*]/)[( hch ωωω − : relative frequency reduction d=0.05 mm dr: hussain a.dawood /al-khwarizmi engineering journal ,vol.1, no. 2,pp 86-102 (2005) ١٠٢ تحليل االهتزاز الحر لتكميم الجساءة لعتبة كابولية عدي ابراهيم عبد اهللا حسين علي داود .د كلية الهندسة/ كلية الهندسة جامعة بغداد / جامعة بغداد النووية قسم الهندسة الميكانيكيةقسم الهندسة :خالصةال عتبـة تم في هذا العمل تقديم تقنية عددية لتحليل والتوصيف الديناميكي لالنحدار في قيم الجساءة المرنة فـي التقنية العامة المقدمة تمثل الخطوة األولى في منظومة عمـل سـالمة . مثل التشقق"داٍخليا" كابولية تعاني عيبا ات على قيم الترددات الطبيعية مثل نقطة تقويم و تكمـيم تأثير وجود هذه العيوب والتشوه.الهياكل وتشخيصها تـم في هذا البحـث .مستويات االنحدار في قيم ثابت المرونة الهندسي لهذه الهياكل بوجود عيوب غير ظاهرية ق مثل التشق"داٍخليا" كابولية تعاني عيبا ة لعتبةالمواصفات االهتزازية الحرإليجاد استخدام تقنية العناصر المحددة قيم االنحدار في الجساءة بداللة الثوابت الهندسية المرنة ثـم تحليـل وفـق أن. وقعموبوجود شقوق متغيرة ال وباالعتماد على قيم .النتائج التي تم الحصول عليها وكذلك تقديم دراسة معلميه بداللة معامالت تصميميه أساسية .الهتزازيةالهندسية نسبة إلى المواصفات ا و الجساءة معامل المرونة رنا وماجد ومحمد al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 9, no. 1, p.p. 83-93 (2013) mechanical properties and corrosion behavior of low carbon steel weldments rana a.majed majid h. abdulmajeed mohamed mahdy department of materials engineering/ university of technology (received 10 april 2012; accepted 18 february 2013) abstract this research involves studying the mechanical properties and corrosion behavior of “low carbon steel” (0.077wt% c) before and after welding using arc, mig and tig welding. the mechanical properties include testing of microhardness, tensile strength, the results indicate that microhardness of tig, mig welding is more than arc welding, while tensile strength in arc welding more than tig and mig. the corrosion behavior of low carbon weldments was performed by potentiostat at scan rate 3mv.sec-1 in 3.5% nacl to show the polarization resistance and calculate the corrosion rate from data of linear polarization by “tafel extrapolation method”. the results indicate that the tig welding increase the corrosion current density and anodic tafel slop, while decrease the polarization resistance compared with unwelded low carbon steel. cyclic polarization were measured to show resistance of specimens to pitting corrosion and to calculate the forward and reveres potentials. the results show shifting the forward, reverse and pitting potentials toward active direction for weldments samples compared with unwelded sample. keywords: low carbon steel, acr, mig and tig welding, mechanical properties of weldments, corrosion behavior of weldments, tafel extrapolation. 1. introduction the corrosion behavior of carbon steel weldments is dependent on a number of factors. consideration must be given to the compositional effects of low carbon steel and welding consumable and to the different welding processes used. because carbon steels undergo metallurgical transformations across the weld and heat-affected zone (haz), microstructures and morphologies become important. a wide range of microstructures can be developed based on cooling rates, and these microstructures are dependent on energy input, preheat, metal thickness (heat sink effects), weld bead size, and reheating effects due to multiphase welding. as a result of their different chemical compositions and weld inclusions (oxides and sulfides), weld metal microstructures are usually significantly different from those of the haz and base metal. similarly, corrosion behavior can also vary [1]. in addition, hardness levels will be the lowest for high heat inputs, such as those produced by submerged-arc weldments, and will be highest for low-energy weldments (with faster cooling rates) made by the shielded metal arc processes. depending on the welding conditions, weld metal microstructures generally tend to be fine grained with basic flux and somewhat coarser with acid or rutile (tio2) flux compositions. during welding, the base metal, haz, and underlying weld passes experience stresses due to thermal expansion and contraction. upon solidification, rather high levels of residual stress remain as a result of weld shrinkage. stress concentration effects as a result of geometrical discontinuities, such as weld reinforcement and lack of full weld penetration (dangerous because of the likelihood of crevice corrosion and the possibility of fatigue cracking), are also important because of the possibility of stress corrosion cracking scc. achieving full weld penetration, minimizing excessive weld reinforcement through rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 84 control of the welding process or technique, and grinding (a costly method) can be effective in minimizing these geometric effects. a stressrelieving heat treatment is effective in reducing internal weld shrinkage stress and metal hardness to safe levels in most cases. this phenomenon has been observed in a wide range of aqueous environments. the common link being that the environments are fairly high in conductivity, while attack has usually, but not invariably, occurred at ph values below about 7 to 8. the reasons for localized weldment attack have not been fully defined. there is clearly a microstructural dependence, and studies on hazs show corrosion to be appreciably more severe when the material composition and welding are such that hardened structures are formed. it has been known for many years that hardened steel may corrode more rapidly in acid conditions than fully tempered material, apparently because local microcathodes on the metal surface stimulate the cathodic hydrogen evolution reaction. on this basis, water treatments ensuring alkaline conditions should be less likely to induce haz corrosion, but even at phs near 8, hydrogen ion (h+) reduction can account for about 20% of the total corrosion current; ph values substantially above this level would be needed to suppress the effect completely [1]. it is probable that similar microstructural considerations also apply to the preferential corrosion of weld metal, but in this case, the situation is further complicated by the presence of deoxidation products, their type and number depending largely on the flux system employed. consumable type plays a major role in determining weld metal corrosion rate, and the highest rates of metal loss are normally associated with shielded metal arc electrodes using a basic coating. in seawater, for example, the corrosion rate for a weld made using a basic-coated consumable may be three times as high as for weld metal from a rutile-coated consumable. fewer data are available for submerged-arc weld metals, but it would appear than they are intermediate between basic and rutile shielded metal arc electrodes and that a corrosion rate above that of the base steel can be expected. galvanic-corrosion effects have also been observed and have caused unexpected failure of piping tank age and pressure vessels where the welds are anodic to the base metal. there is no doubt that residual welding stresses can cause scc in environments in which such failure represents a hazard. this is the case for failure by both active path and hydrogen embrittlement mechanisms, and in the latter case, failure may be especially likely at low heat input welds because of the enhanced susceptibility of the hardened structures inevitably formed. most scc studies of welds in carbon and carbon-manganese steels have evaluated resistance to hydrogen-induced scc, especially under sour (h2s) conditions prevalent to the oil and gas industry [1]. 2. materials and procedure commercial low carbon steel (chemical composition wt%: 0.077 c, 0.309 mn, 0.003 si, 0.0001 p, 0.021 s, 0.0001 cr, 0.0002 mo, 0.023 cu, 0.0001 ni, 0.003 v and fe remain), have dimensions (20 x 20 x 3 mm) was used in this work. three couples of samples were welded by “mig” welding and the other three couples were welded by arc welding. during mig welding argon gas was used with 100 amp and 25 volt was used and in the arc welding 120 amp and 45 v was used. in order to investigate the microstructure some of the welded pieces were ground using emery paper 100, 240, 320, 600, 800 1000 and 1200p before the heat treatment. then they were polished by alumina solution using “nitel solution” (98% alchohol-2% nitric acid) for 5 sec. the microstructure was studied under reflected light microscope. after preparation the surface specimen, the micro hardness test was achieved, so the microhardness test is a test for mechanical hardness used particularly for very brittle materials or thin surface layer, where only a small indentation may be made for testing purposes. a pyramidal diamond point is pressed into the polished surface of the test material with a known force, for a specified well time, and the resulting indentation is measured using a microscope. the geometry of this indenter is an extended pyramid with the length to width ratio being (7:1) and respective face angles are 172 degrees for the long edge and 130 degrees for the short edge. the depth of the indentation can be approximated as 1/30 of the long dimension. we can obtain the result from the law [2]: ...(1) where l is length of indentation along its long axis, cp is correction factor related to the shape of the indenter, ideally 0.070279 and p is load. rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 85 the advantages of the test are that only a very small sample of material is required, and that it is valid for a wide range of test forces. the main disadvantages are the difficulty of using a microscope to measure the indentation (with an accuracy of 0.5μm), and the time needed to prepare the sample and apply the indenter. so we got the micro hardness for three areas, base metal, haz metal and fusion zone with load (9.8kn) all values of microhardness were average of three measurements. after micro hardness test, the tensile strength was measured for the samples, where the σmas or σu is indicated by the maxima of a stress-strain curve and, in general, indicates when necking will occur. this fracture will generally occur at the point of necking. after that heat treatment was done for the samples (arc welding and mig welding) using furnace at temperature 600 °c for time 15 minutes and the cooling was inside the furnace. the microstructure and micro hardness of the samples were measured after heat treatment too with a prior grinding and polishing. to corrosion test, three samples of low carbon steel were welded using arc, mig and tig welding to study effect of these treatments on the corrosion behavior of low carbon steel weldments. after welding all samples and as received specimens were mounted by hot mounting to insulate all but one side with an epoxy resin. the open side was polished mechanically to a mirror finish, rinsed in distilled water and stored in desiccators. the electrolyte reference used was sea water (3.5% nacl). polarization experiments were performed in “winking m lab 200” potentiostat from bank-elektronik with electrochemical standard cell with provision for working electrode, auxiliary electrode (pt electrode), and a luggin capillary for connection with an saturated calomel electrode (sce) reference electrode. electrochemical measurements were performed with a potentiostat at a scan rate 3 mv.sec-1. the main results obtained were expressed in terms of the corrosion potentials (ecorr) and corrosion current density (icorr) in addition to measure the “tafel slops”. 3. results and discussion 3.1. mechanical properties microscopic studies revealed that the base metal are coarser crystalline and elongated before heating becoming finer but still elongated after heating. the welding also affects the crystal size as the grains of the base become finer and equidimensional. however, the crystal size of the fusion zone are coarser and equidimensional before heating becoming elongated and oriented after heating (fig. 1). in arc welding the micro hardness results of the base metal, heat affected zone and fusion zone, before heat treatment, are 188, 185 and 200 kn/mm2 respectively. after heat treatment the micro hardness of the base metal, heat affected zone and fusion zone are 170, 186 and 190 kn/mm2 respectively (table 1). in mig welding the micro hardness results of the base metal, heat affected zone and fusion zone, before heat treatment, are 187, 186 and 222 kn/mm2 respectively. after heat treatment the micro hardness of the base metal, heat affected zone and fusion zone are 155, 163 and 236 kn/mm2 respectively as shown in table (1). but in tig welding the micro hardness results of the base metal, heat affected zone and fusion zone, before heat treatment, are 185, 209 and 255 kn/mm2 respectively. after heat treatment the micro hardness of the base metal, heat affected zone and fusion zone are 190, 200 and 236 kn/mm2 respectively in arc welding the σmax and the σy before heat treatment are 490 and 240 mpa respectively. the σmax and the σy after heat treatment are 395 and 235 mpa respectively as shown in table (2). while in mig arc welding the σmax and the σy before heat treatment are 395 and 390 mpa respectively. the σmax and the σy after heat treatment are 320 and 235 mpa respectively as shown in table (2). but in tig welding the σmax and the σy before heat treatment are 300 and 250 mpa respectively. the σmax and the σy after heat treatment are 370 and 260 mpa respectively it seems evident from the above mentioned tests that tensile strength and microhardness tests of the welded samples before and after heat treatment, has improved after welding. both σy and σmax (obtained directly from a digital apparatus attached to the tensile strength instrument). this behavior can probably attributed to the formation of ferrite in the inclusions, as the heating to high temperature led to the loss of carbon from the surface layer and thus decreasing hardness as shown in the photomicrographs. the photomicrographs (fig. (2)) revealed that most of the background consists of ferrite. the improvement of the mechanical properties, both microhardness and tensile strength, in the mig rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 86 welding can be attributed to the fine-grained perlite microstructure owing to the quick cooling. in brief, the arc welded pieces, both before and after heat treatment, lead to improvement in the tensile strength but on the expense of the microhardness, as it is less in comparison of the unwelded samples. this is the result of the ferrite formation in the inclusions. the mig welded samples showed slightly lesser tensile strength results but considerable higher hardness owing to the higher formation of the perlite microstructure. the mig welded samples showed lesser amount of defects than the arc welded samples. comparison of the microhardness test results reveals that the fusion zone of samples after heating in mig and tig welding is the highest reaching 236 kn/mm2, whereas in arc welding the microhardness result after heat treatment is 190 kn/mm2. also the microhardness of the fusion zone in the arc and tig welding decreases from 200 to 190 kn/mm2 and from 255 to 236 kn/mm2 respectively after heat treatment whereas it increases in the mig welding from 222 to 236 kn/mm2. fig. 1. photomicrographs showing the microstructures of the mig arc welded samples showing the base metal, the heat affected zone and the fusion zone, 250x. table 1, results of the microhardness of the arc, mig and tig welding before and after heat treatment. process base metal zone hv kn/mm2 heat affected zone hv kn/mm2 fusion zone hv kn/mm2 arc welding before heat treatment 188 185 200 arc welding after heat treatment 170 186 190 mig welding before heat treatment 187 186 222 mig welding after heat treatment 155 163 236 tig welding before heat treatment 185 209 255 tig welding after heat treatment 190 200 236 rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 87 fig. 2. photomicrographs showing the microstructures of the arc welded samples showing the base metal, the heat affected zone and the fusion zone, 250x. table 2, results of the tensile strength of the arc, mig and tig welding before and after heat treatment. process σmax σy arc welding before heat treatment 490 240 arc welding after heat treatment 395 235 mig welding before heat treatment 390 395 mig welding after heat treatment 320 235 tig welding before heat treatment 300 250 tig welding after heat treatment 370 260 3.2. corrosion behavior the variation of “open circuit potential” (ocp) with time was shown in the figure (3) for unwelded and welded low carbon steel samples in 3.5% nacl. the ocp-time measurement is considered as an important parameter for evaluating the stability of the passive film of the specimens. the data in table (3) indicate that all low carbon steel weldments shift the open circuit potential (eoc) toward active direction. thus sample of unwelded low carbon steel thermodynamically less tendency to corrosion. the behavior of weldments gives unstable surface/electrolyte interaction compared with the sample without welding through the variation of potential with time. rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 88 fig. 3. variation of potentials with time for as received and weldedlow carbon steel alloy in 3.5% nacl . table 3, corrosion parameters of as received and welded specimens in sea water (3.5% nacl) at room temperature. specimens open circuit potential (-eoc/mv) corrosion potential (-ecorr/mv) corrosion current density (icorr/μa.cm-2) tafel slop (mv.dec-1) -bc +ba polar. resistance (rp/ω.cm2) as received 518 516.3 21.45 124.8 72.80 0.9320 welded with arc 589 635.4 14.26 126.7 91.9 1.6240 welded with mig 592 604.5 17.41 126.2 61.0 1.0270 welded with tig 765 790.9 24.13 96.60 94.5 0.8596 linear polarization of unwelded and weldments show in figs. (4) to (7) respectively. these figures show the cathodic and anodic behavior of samples, the cathodic reaction represent the reduction of oxygen according to the following reaction: o2 + 4e + 2h2o → 4ohˉ while the oxidation of iron represents the anodic reaction as follow: fe → fe2+ + 2e the data of potentiodynamic polarization were listed in table (3). these data show that the corrosion potentials (ecorr) values for weldments shift toward active direction compared with unwelded low carbon steel, and the sequence of negativity of corrosion potentials as follow: ecorr tig welding > arc welding > mig welding. the effect of welding on the corrosion current density (icorr) values indicate that the arc and mig welding decrease the value of corrosion current density of low carbon steel without welding, while the tig welding increases the corrosion current density. the values of cathodic tafel slopes (bc) show little increases in the case of arc and mig welding, while decreases for tig welding. but the anodic “tafel slope” (ba) increases in arc and tig welding and decrease for mig welding sample. the polarization resistance (rp) can be determined from the tafel slopes and according to sterngeary equation [3,4]: ….(2) the results indicate increase in case of arc and mig welding and decreasing the polarization resistance for tig welding sample compared with sample without welding. rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 89 cyclic polarization measurements were carried out in order to determine the initiation and propagation of local corrosion, which is associated with the breakdown of passive protective film. the breakdown potential (ebr) is the one at which the anodic current increases considerably with applied potential. the potential, at which the hysteresis loop is completed upon reverse polarization scan, is known as the protective potential or repassivation potential. breakdown potential is a sign of local corrosion but the measure of pitting susceptibility is the difference between the breakdown potential and the repassivation one. the protection potential represents the potential at the intersection of hysteresis curve with passive domain. below this potential the propagation of existing localized corrosion will not occur. if the difference between breakdown and the repassivation potential is increasing, the chance in the appearance of pitting is greater and its propagation in depth is more intense. in other words, the hysteresis loop increases as the susceptibility of material to corrosion increases. the cyclic polarization of unwelded and weldments indicated in fig. (8) to (11) in 3.5% nacl. these figures show that the reverse scan starts right of the forward scan curve, that is, towards the high current density region. this type of cyclic polarization curve is known to be less resist to localized corrosion. the potentials for the forward and reverse scan are more negative than that of unwelded sample, in addition to pitting potentials (epit) values which are more negative than pitting potential of as received sample. the data of forward and reverse scan are listed in the table (4). generally, the data of corrosion test indicate that the welding increase the ability of materials to corrode. the tendency of forward, reverse and pitting potentials for weldments take the following sequence: -efor., -erev. and -epit. tig welding > arc welding >mig welding weldments can experience all the classical forms of corrosion, but they are particularly susceptible to those affected by variations in microstructure and composition. specifically, galvanic corrosion, pitting, stress corrosion, intergranular corrosion, hydrogen cracking, and microbiologically influenced corrosion must be considered when designing welded structures. galvanic couples, although some alloys can be autogenously welded, filler metals are more commonly used. the use of filler metals with compositions different from the base material may produce an electrochemical potential difference that makes some regions of the weldment more active. for the majority of aluminum alloys, the weld metal and the haz become nobler relative to the base metal [5]. certain aluminum alloys, however, form narrow anodic regions in the haz and are prone to localized attack. alloys 7005 and 7039 are particularly susceptible to this problem. there are a number of other common weld deposit/base metal combinations that are known to form galvanic couples. it is common practice to use austenitic stainless steel welding consumables for field repair of heavy machinery, particularly those fabricated from high-strength low-alloy steel. this practice leaves a cathodic stainless steel weld deposit in electrical contact with the steel. in the presence of corrosive environments, hydrogen is generated at the austenitic weld metal cathode, which is capable of maintaining high hydrogen content without cracking. however, the cathodic behavior of the austenitic weld deposit may increase the susceptibility for (scc) in the haz of the high-strength steel. a 40% thermal expansion mismatch between the austenitic stainless steel and ferritic base metal produces a significant residual stress field in the weldment; this residual stress field also contributes to cracking susceptibility. a similar, but more localized, behavior may explain the correlation between stress corrosion cracking susceptibility and the presence of retained austenite in highstrength steel weld deposits. another common dissimilar metal combination involves the use of high-nickel alloys for weld repair of cast iron. fe-55ni welding electrodes are used to make weld deposits that can hold in solid solution many of the alloying elements common to cast iron. furthermore, weld deposits made with fe-55ni welding consumables have an acceptable thermal expansion match to the cast iron. because cast iron is anodic to the high-nickel weld deposit, corrosive attack occurs in the cast iron adjacent to the weld deposit. it is suggested that cast iron welds made with high-nickel deposits be coated (painted) to reduce the susceptibility to selective corrosion attack. plain carbon steel weldments can also exhibit galvanic attack. for example, the e6013 welding electrode is known to be highly anodic to a285 base metal in a seawater environment [6]. it is important to select a suitable filler metal when an application involves a harsh environment. welding can reduce base metal corrosion resistance in aggressive environments. in welding, rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 90 heat is generated that produces a temperature gradient in the base metal, i.e. the haz. welding may a so induce residual stresses in the weld area which in certain environments can lead to scc. one of the early corrosion problems related to welding was intergranular attack, iga, in the weld haz. in the temperature range of about 800of to 1650of (425oc to 900oc), carbon combines with chromium to form chromium carbides at the grain boundaries. the area adjacent to the carbides is depleted in chromium. when the carbide network is continuous, the low chromium envelope around grains may be selectively attacked, resulting in intergranular corrosion [7]. table 4, data of cyclic polarization of as received and welded specimens in sea water (3.5% nacl) at room temperature. specimens forward potential (-efor/mv) reverse potential (-erev/mv) pitting potential (-epit/mv) as received 571.4 524.5 478.3 welded with arc 689.6 673.8 666.3 welded with mig 622.7 606.2 589.1 welded with tig 790.3 779.3 771.8 fig. 4. linear polarization for unwelded low carbon steel in 3.5%nacl. fig. 5. linear polarization for arc welded low carbon steel in 3.5%nacl. current density (μa.cm-2) po te nt ia l ( m v ) current density (μa.cm-2) po te nt ia l ( m v ) rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 91 current density (μa.cm-2) po te nt ia l ( m v ) fig. 6. linear polarization for mig welded low carbon steel in 3.5%nacl. fig. 7. linear polarization for tig welded low carbon steel in 3.5%nacl. fig. 8. cyclic polarization for as received low carbon steel in 3.5%nacl. fig. 9. cyclic polarization for arc welded low carbon steel in 3.5%nacl. fig. 10. cyclic polarization for mig welded low carbon steel in 3.5%nacl. fig. 11. cyclic polarization for tig welded low carbon steel in 3.5%nacl. current density (μa.cm-2) po te nt ia l ( m v ) current density (μa.cm-2) po te nt ia l ( m v) current density (μa.cm-2) po te nt ia l ( m v ) current density (μa.cm-2) po te nt ia l ( m v ) current density (μa.cm-2) po te nt ia l ( m v ) rana a.majed al-khwarizmi engineering journal, vol. 9, no.1, p.p. 83-93 (2013) 92 4. conclusion the following conclusions can be drawn from the present study: 1. the arc welded pieces, both before and after heat treatment, lead to improvement in the tensile strength but on the expense of the microhardness, as it is less in comparison of the unwelded sample. this is the result of the ferrite formation in the inclusions. 2. the mig and tig welded samples showed slightly lesser tensile strength results but considerable higher hardness owing to the higher formation of the perlite microstructure. 3. the mig and tig welded samples showed lesser amount of defects than the arc welded samples. 4. the welding enhances the corrosion of low carbon steel in sea water, and tig welded more liable to corrosion compared with arc and mig welding. 5. the tig welded samples has more negative corrosion, forward, reverse, pitting potentials. 6. the tig welded samples has the corrosion current density and the highest anodic “tafel slope” and the lowest polarization resistance than other welded samples. 5. references [1] c.g. arnold, "galvanic corrosion measurement of weldments," paper 71, presented at corrosion/ 80, chicago, il, national association of corrosion engineers, march 1980 [2] j. r. davis, "metal handbook", second edition (1998). [3] stern, m., method for determining corrosion rates from linear polarization data, corrosion, vol.14, no.9, 1958,p.440–444. [4] stern m., and geary, a. l., electrochemical polarization i: a theoretical analysis of the slope of polarization curves, journal of the electrochemical society, vol. 104, no. 1, 1957, p.559–563. [5] j.e. hatch, ed., aluminum: properties and physical metallurgy, asm international, 1984, p.283. [6] c.a. arnold, “galvanic corrosion measurement of weldments”, presented at nace corrosion/ 80, chicago, march 1980. [7] basic understanding of weld corrosion, 2006 asm international, www. asminternational.org. )2013(-93 83، صفحة1، العدد9مجلة الخوارزمي الھندسیة المجلد رنا عفیف مجید 93 الكاربون واطيء سلوك التآكل لملحومات الفوالذوخواص المیكانیكیة ال جبار محمد مھدي د عبد المجید ماجد حمی رنا عفیف مجید الجامعة التكنولوجیة /قسم ھندسة المواد الخالصة الكھربائي ولحام القوس ملحومات الفوالذ واطيء الكاربون باستخدام لحام القوسیتضمن ھذا البحث دراسة بعض الخواص المیكانیكیة وسلوك التاكل ل من اختبارالصالدة المجھریة واختبارات المعدني المحمي بالغاز الخامل واللحام بقوس التنجستن المحمي بالغاز الخامل، وقد تضمنت الخواص المیكانیكیة كًال وس التنجستن المحمي بالغاز الخامل ولحام القوس المعدني المحمي بالغاز الخامل على التوالي اكثر صالدة من لحام مقاومة الشد، وتشیر النتائج الى ان لحام ق المعدني المحمي القوس الكھربائي، بینما مقاومة الشد في لحام القوس الكھربائي اكثر مما ھي في لحام قوس التنجستن المحمي بالغاز الخامل ولحام القوس .ملبالغاز الخا كلورید الصودیوم لحساب متغیرات % ٣.٥ملي فولت لكل ثانیة في ماء البحر ٣بمعدل مسح " المجھاد الساكن"وقد اجریت تجارب التاكل باستخدام لتاكل من خالل وقد بینت نتائج التاكل بان اللحام بقوس التنجستن المحمي بالغاز الخامل یزید المیل لحصول ا". طریقة تافل االستقرائیة"التاكل باستخدام .وكذلك النفص في مقاومة االستقطاب مقارنة بالعینة غیر الملحومة" میل تافل االنودي"ارتفاع قیمة كثافة التیار و لمعرفة مدى مقاومة العینات الملحومة لتاكل التنقر، وقد دلت النتائج على ان جھود المسح االمامي والعكسي والتنقر كانت " المسح الحلقي"لقد اجري .اكثر سالبیة مقارنة بالعینة غیر الملحومة عزت سليمان67-59 1 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) composition and temperature dependence of excess volume of heavy oil-stocks mixtures + (gas oil or toluene or reformate) ezzat n. slaiman* haidar m. al-qamaje** shahad z. atta** * department of petroleum engineering/ university of kirkuk ** department of chemical engineering/ college of engineering/ university of nahrain (received 31 january 2011; accepted 2 jun 2011) abstract binary mixtures of three, heavy oil-stocks was subjected to density measurements at temperatures of 30, 35 and 40 °c. and precise data was acquired on the volumetric behavior of these systems. the results are reported in terms of equations for excess specific volumes of mixtures. the heavy oil-stocks used were of good varity, namely 40 stock, 60 stock, and 150 stock. the lightest one is 40 stock with °api gravity 33.69 while 60 stock is a middle type and 150 stock is a heavy one, with °api gravity 27.74 and 23.79 respectively. temperatures in the range of 30-40 °c have a minor effect on excess volume of heavy oil-stock binary mixture thus, insignificant expansion or shrinkage is observed by increasing the temperature this effect becomes more significant although the heavy oil-stocks is spiked with hydrocarbons like (gas oil, toluene and reformate). blending of heavy oil-stocks with hydrocarbons spikes (gas oil, toluene and reformate) form non-ideal mixtures, for which excess volume can be positive or negative depending on nature species. spiking of heavy oil-stocks with either gas oil or reformate resulted in negative excess volume. this shrinkage is greater for the lowest boiling point spike as in the case of reformate, while, the presence of methyl groups in aromatic rings results in a positive excess volume, as shown in toluene when blended with 40 stock but a negative excess volume was found when blended with 60 stock and 150 stock. the api gravity of heavy oil-stocks has an effect on excess volume when the oil-stocks spiked with hydrocarbons like (gas oil, toluene and reformate). this 40 stocks as a typical light types resulted in minimum negative excess volume of -0.47 at 30 °c, when it was spiked with the gas oil; while the spiked heavy oil-stock with kerosene shows a maximum excess volume of -15.56 at 40 °c. keywords: excess volume, heavy oil-stocks, temperature dependence. 1. introduction when two liquids are mixed together, the resulting changes in physical and thermodynamic properties can be considered as a sum of several contributions due to free volume change, change in energy, change in molecular orientations and steric hindrances. the mixing of different compounds gives rise to solutions that generally do not behave as ideal solutions. a solution which obeys raoult’s and dalton’s laws is said to be an ideal solution. in terms of interaction if unlike molecules interaction are equal with like molecules interaction, the solution is said to be an ideal solution. the deviation from ideality is expressed by many thermodynamic variables particularly by excess or residual extensive properties. excess thermodynamic properties of mixtures are useful in the study of molecular interactions and arrangements [1]. thermodynamic studies provide the additional advantage of using the analysis of microscale interactions for understanding the macroscale behavior of gases and liquids upon mixing. through the last decade, a considerable effort has been developed in the field of thermodynamic properties, although a scarcity of published data is still encountered for the mixtures. such properties are strongly dependent on the hydrogen-bond strength of hydroxyl groups, chain length, isomeric structures, and molecular interactions [2]. excess thermodynamic properties of mixtures provide sight into the molecular interactions ezzat n. slaiman al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) 60 between the various components and can be used for the development of molecular models describing the thermodynamic behavior of mixtures. recently, a considerable upsurge in the theoretical and experimental investigations of the excess thermodynamic properties of binary liquid mixtures has been done [3]. blend of petroleum components having different physical properties, endure a change in excess volumes since their constitutes do not form ideal solutions. in an ideal solution, the total solution volume is equal to the sum of the volumes of the components. for a solution to approach ideality, the molecules of the materials blended together must be similar in size, shape, and properties. if the nature of the components differs appreciably, then deviation from ideal behavior may be expected. this deviation may be either positive or negative; that is, the total volume may be smaller or larger than the volumes of its components [4]. the blending of oil stocks results in volume changes, caused by the nonideal behavior of oil systems as compared with the calculated ideal volume. since the oil industry uses volume measurement in its balances, the apparent discrepancies in material may cause financial complications, which in some cases have led to litigation [4]. the excess volume behavior of heavy oilstocks mixtures is important. since only small amount of database was published, especially on mixtures of heavy oil-stocks with pure hydrocarbons; while no or little studies were published on mixtures of different types of heavy oil-stocks [4]. a full understanding of thermodynamic and transport properties of binary liquid systems is essential in many chemical engineering processes such as design calculation, heat transfer, mass transfer, fluid flow, and so forth [5]. we started a research program on the excess properties of mixtures containing (heavy oil-stocks + spikes). in this work we reported experimental data such as density over the whole range of composition for binary liquid mixtures. density is temperature-dependent; in most cases a fluid has less dense as the temperature rises [6]. the variation of density with temperature is a property of great technical importance, since most petroleum products are sold by volume and specific gravity which are usually determined at the prevailing temperatures rather than at the standard 15.6 °c [7]. the present work is aimed to evaluate the volumetric behavior of blends of the heavy oilstocks at temperature range of 30-40 °c. the work is also extended to study the effect of hydrocarbons spikes such as (gas oil, toluene and reformate) on the excess volume of these mixtures, also in temperature range of 30-40 °c. 2. experimental work three heavy oil-stocks were obtained from aldurra refinery, namely 40 stock, 60 stock, and 150 stock. the lightest one is 40 stock with °api gravity 33.69 while 60 stock is middle type and 150 stock the heaviest of °api gravity 27.74 and 23.79 respectively. the main properties of oil stocks (40 stock, 60 stock, and 150 stock) were measured in al-durra refinery laboratories according to api and astm specification, as listed in table 1. table 1, properties of oil stocks. specification 40 stock 60 stock 150 stock kin. viscosity at 40 °c, cst 18.11 56.12 501.98 kin. viscosity at 100 °c, cst 3.14 7.69 33.38 viscosity index (vi) 95 95 93 specific gravity at 15.6 °c 0.85 0.88 0.90 °api gravity 33.69 27.74 23.79 coc flash,°c n.d. 200-300 290-300 p.m. flash,°c 160 n.d. n.d. pour point,°c -24 -6 -3 sulfur content, wt.% 0.62 1.40 2.00 gas oil was used as petroleum fraction to study the excess volume phenomena of heavy oilstocks. this fraction was supplied by al-duora refinery, while the toluene was supplied from merck company, germany. reformate, supplied from alduora refinery, was used to study the excess volume phenomena of heavy oilstocks. its general properties are about 58 api gravity, initial boiling point 40ºc, end point 200ºc, an octane number of about 91. the method of mixing process occurred by electrical mixer at room temperature (20-25 °c). density measurements was measured just, after preparing the mixtures to avoid deposit formation or vaporizing the light ends. all density measurements are carried out at atmospheric pressure. ezzat n. slaiman al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) 61 the following mixtures were prepared: three heavy oil-stocks binary mixtures, at temperature range of 30 40 °c. binary mixtures of heavy oil-stocks with spikes (gas oil, toluene and reformate), at temperature range of 30 40 °c. fig.1. water bath. density determination of heavy oil-stocks, spikes and their blends was carried out using pyknometer with a size of 50 cm3 according to the standard methods (ip 190) [8]. the pyknometer was placed in a water bath type (julabo f25) as shown in fig. (1), which was capable of maintaining the temperature within an accuracy of ± 0.1 °c. pyknometer and the stopper end were thoroughly cleaned using gasoline and acetone. to eliminate all traces of moisture pyknometer and stopper capillary are dried using hot air. wiping the outside of pyknometer and stopper with a clean, lint-free cloth normally. 3. results and discussion the excess thermodynamic properties such as excess volumes of mixtures of heavy oil-stocks are considerably interested in the field of transportation. normally light oil-stock blendes with medium and heavy oil-stock were used to satisfy such specification for lubricating oil and another uses. although these blends would lend to considerable change into thermodynamic behavior of these mixtures, but it directly led to loss in volume of these mixtures [4]. measurement densities at temperatures range of 30-40 °c for individual oil-stocks are listed in table (2). table 2, densities for individual oil stocks. temperature density in g/cm3 oil-stocks 40 °c 35 °c 30 °c 0.8524 0.8544 0.8566 ρexp stock 40 0.8826 0.8866 0.8886 ρexp stock 60 0.9072 0.9092 0.9112 ρexp stock 150 three binary mixtures of heavy oil-stocks have been prepared. the volumetric behavior of the binary mixtures of heavy oil-stocks with different densities was evaluated. the ideal volume was calculated by a linear expression in terms of mass fraction of blending component as follows [9]. …(1) excess volume is defined by the equation: …(2) where vmix is the actual specific volume, which is equal to 1/ρmix in cm3/kg and ρmix is the measured density in kg/m3. excess volumes for binary heavy oil-stocks mixtures are summarized in tables (3), (4) and (5). table 3, excess volume of binary systems; of stock 40 with stock 60 at 30, 35 and 40 °c. temperature ve stock 40 x2 40 °c 35 °c 30 °c -1.2474 -0.9918 -0.7838 ve exp 0.2 -1.5725 -1.3503 -1.0909 ve exp 0.4 -2.0788 -1.7161 -1.5105 ve exp 0.5 -1.6335 -1.357 -1.1479 ve exp 0.6 -1.1998 -1.0096 -0.7661 ve exp 0.8 ezzat n. slaiman al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) 62 table 4, excess volume of binary systems; of stock 40 with stock 150 at 30, 35 and 40 °c. temperature ve stock 40 x2 40 °c 35 °c 30 °c -3.6435 -2.3717 -2.0589 ve exp 0.2 -4.4801 -3.8262 -3.3522 ve exp 0.4 -5.6093 -4.6623 -3.9800 ve exp 0.5 -4.4510 -3.8554 -3.3812 ve exp 0.6 -3.7838 -2.2953 -1.7825 ve exp 0.8 table 5, excess volume of binary systems; of stock 60 with stock 150 at 30, 35 and 40 °c. temperature ve stock 40 x2 40 °c 35 °c 30 °c -1.1970 -0.7470 -0.5140 ve exp 0.2 -2.2325 -1.9432 -1.0893 ve exp 0.4 -2.3360 -2.2004 -1.5456 ve exp 0.5 -2.1924 -1.8282 -0.9790 ve exp 0.6 -1.2701 -0.7937 -0.5393 ve exp 0.8 if the data in the form of excess volumes are plotted against mass fraction of reference components at temperatures range of 30-40 °c, smooth curves are obtained as shown into figs. (2), (3) and (4). the curves pass through zero at 0 wt% and 100 wt% reference component, while the maximum excess volume occurs at, or close to, mass fraction of 0.5, indicating that ve at this point should be a good indicator of the molecular interactions in the mixtures. excess volumes are negative for (stock 40 + stock 60), (stock 40 + stock 150) and stock (60 + stock 150) mixtures over the mass fraction range, as shown into figs. (2), (3) and (4). both oil stocks mixtures (stock 40 + stock 60 and stock 60 + stock 150) gave approximately the same behavior of excess volume at different temperatures as shown into fig. (5). due to the non-ideal behavior of the system as compared with the calculated ideal volume, it can be also noticed from figs. (2), (3) and (4) that the increase in temperature was accompanied with an increase in the value of ve of binary crude oils. negative ve is obtained over the whole mass fraction range for binary heavy oil-stock mixtures at 30, 35 and 40 °c, under concern. tables (3), (4), and (5) are depicted into figs. (2), (3), and (4) in terms of function of mass fraction. fig.(5) shows maximum negative deviation values of ve for the (stock 40 + stock 150) mixtures (-5.6093 cm3/kg at 40 °c). ve curves are almost symmetric with the occurrence of ve maximum at 0.5 mass fractions. this negative excess volume (shrinkage) cames out from the changes in self-association (inter or intramolecular interactions) and physical interaction (van der waals interaction and dipole– dipole interaction) than generated between like molecules and undo the decreases in the volume [10]. on the other hand, free volume effects, interstitial accommodation or interactions between unlike molecules lead to volume contraction. fig.2. excess volume ve for stock 40 with stock 60 at 30, 35 and 40 °c) fig.3. excess volume ve for stock 40 with stock 150 at 30, 35 and 40 °c. ezzat n. slaiman al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) 63 fig.4. excess volume ve for stock 60 with stock 150 at 30, 35 and 40 °c. fig.5. excess volume ve for binary mixtures of stock oil at 40 °c. table 6, excess volumes ve, for spiked heavy oil-stock at 30, 35 and 40 °c). temperature stock 40 x2 40 °c 35 °c 30 °c reformate toluene gas oil reformate toluene gas oil reformate toluene gas oil -3.9150 1.1529 -1.5108 -3.8057 0.7125 -1.3803 -3.4789 0.4511 -0.5871 0.2 -4.8383 3.1330 -1.7034 -4.4355 1.2779 -1.6439 -4.6910 0.7359 -0.8048 0.4 -7.4587 3.5718 -2.2185 -6.3609 2.4827 -1.8833 -5.1969 1.7242 -1.3024 0.5 -5.1082 2.9824 -1.7896 -4.2851 1.2361 -1.5058 -4.6368 0.7868 -0.9284 0.6 -4.1677 1.2009 -1.4638 -3.7755 0.6504 -1.2144 -3.2529 0.4281 -0.4785 0.8 temperature stock 60 x2 40 °c 35 °c 30 °c reformate toluene gas oil reformate toluene gas oil reformate toluene gas oil -6.9053 -1.3359 -1.7580 -4.8113 -0.9120 -1.4588 -3.9328 -0.6438 -0.8387 0.2 -8.9683 -2.0288 -2.6400 -6.9254 -1.5394 -1.8582 -6.6942 -0.9887 -1.3824 0.4 -10.9243 -2.9151 -3.0878 -9.5726 -2.1099 -2.5500 -8.7438 -1.7571 -1.8798 0.5 -9.2383 -1.8970 -2.4687 -7.1612 -1.3398 -1.8639 -6.7819 -0.8576 -1.3277 0.6 -7.4807 -1.2794 -1.8773 -5.0424 -0.9636 -1.5024 -4.0481 -0.6310 -1.1430 0.8 temperature stock 150 x2 40 °c 35 °c 30 °c reformate toluene gas oil reformate toluene gas oil reformate toluene gas oil -9.8580 -1.1149 -3.5738 -8.6605 -0.9323 -2.1173 -5.7449 -0.5970 -1.3590 0.2 -13.2253 -1.3392 -4.5397 -10.8835 -1.1873 -3.9455 -8.0783 -0.6587 -2.4588 0.4 -15.5622 -1.7155 -5.4360 -14.0229 -1.3139 -3.7366 -11.2640 -0.7806 -5.0172 0.5 -12.8288 -1.2954 -4.7196 -10.8351 1.2624 -4.1536 -7.8434 -0.6445 -2.7736 0.6 -10.2505 -1.0963 -3.8789 -8.6506 0.8964 -2.5497 -5.6497 -0.6138 -1.4146 0.8 the lower values of the ve in comparison to other mixture is the result of the ideality of the stock 40 + stock 60 mixture, i.e. the difference between the mixture volume vmix and the ideal ezzat n. slaiman al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) 64 mixture molar volume videl = xv1 +(1−x)v2 is very small (maximum value of about (-1.51) cm3/kg at 30 ° and 0.5 mass fraction. the three heavy oil-stocks which had been blended with hydrocarbons spikes (gas oil, toluene and reformate), have been subjected to density measurements to evaluate its volumetric behavior at temperature range 30-40 °c. the density data obtained for each heavy oilstock/spike pairs are reported in the form of excess volume ve at a given mass fraction of spike x2 as shown in table (6). if the data in the form of specific excess volume are plotted against mass fraction of spike of blend, smooth curves are obtained as shown in figs. (6), (7) and (8) at 40 °c. the curves pass through zero at 0 wt% spike and 100 wt% spikes, while the maximum excess volume occur at, or close to, mass fraction of 0.5, indicating that ve at this point would be good indication of the molecular interactions in these systems. fig.6. excess volume ve for spiked stock 40 at 40°c. it is generally observed that the addition of middle petroleum fractions, such as gas oil to the three heavy oil-stocks of different densities produces negative excess volumes. in other words "shrinkage" occurs in comparison with the calculated ideal volume; as shown in fig. (9). fig.7. excess volume ve for spiked stock 60 at 40°c. fig.8. excess volume ve for spiked stock 150 at 40°c. fig.9. excess volume ve for binary mixtures of stock oil/ gas oil at 40 °c. ezzat n. slaiman al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) 65 also, the addition of the lowest boiling point spike as in the case of reformate to the three heavy oil-stocks of different densities produces negative excess volumes; in other words "shrinkage" occurs, as shown in fig. (10). this shrinkage effect is directly proportional to the specific gravities of the oil-stocks, thereof when the density of oil-stock increase the negative ve will be increased. as noticed in fig. (10), the derived values of ve for the (reformate + 150 oil stock) mixtures records negative (maximal value at about (-15.56) cm3/kg). fig.10. excess volume ve for binary mixtures of stock oil/ reformate at 40 °c. the negative ve values arise due to the dominance of the following factors [11]: (a) chemical interaction between constituent molecules such as hetero-molecular association through the formation of h-bond, often termed as strong specific interaction. (b) association through weaker physical forces such a dipolar force or any other forces of this kind. (c) accommodation of molecules of one component into the interstitial positions of the structural network of molecules of the other component. (d) geometry of the molecular structure that favors fitting of the component molecules with each other. the blending of heavy oil-stocks with aromatic spikes, such as toluene give a positive ve and negative ve depending upon the specific gravity of heavy oil-stock that blends with it. so that the blending of toluene with stock 40 gives positive excess volume and this phenomena refers to the interactions between molecules that are weak and it is better to say that the interactions between dissimilar molecules are much weaker between the similar ones. give rise positive deviations. but the blending of toluene with stock 60 and stock 150 give negative excess volume and this belong to the effect of the two methyl groups of toluene. the binary mixtures of stock 40 with toluene show positive values of excess volume, and thus exhibit expansion, as shown in fig. (11). this effect is appreciably in relation to the fact, that such compounds are "structure breaking" materials leading to positive excess volume [12]. fig.11. excess volume ve for binary mixtures of stock oil/ toluene at 40 °c. the factors that are mainly responsible for the volume expansion i.e., positive values of ve, are [11]: (a) disruption of one or both components in a solution system. a suitable example of this, is the rupture of h-bonding of one compound by the other, or breaking up of associates held together by weaker physical forces such as dipole or dipole-induced dipole interactions or by any other van der waals forces. (b) the geometry of molecular structure which does not favor fitting of the molecules with each other. ezzat n. slaiman al-khwarizmi engineering journal, vol. 7, no. 3, pp 59 67 (2011) 66 (c) (c) steric hindrance which opposes the proximity of the constituent molecules. the binary mixtures of stock 60, 150 with toluene shows negative values of excess volume over the whole composition range as shown in fig.(11). ve curves are almost symmetric with their maximal point at 0.5 mass fraction. this negative excess volume (shrinkage) come from the changes in self-association (inter or intramolecular) and physical interaction between similar molecules which increase the volume [10]. 4. conclusions it is general, it was observed that the blending of light medium oil-stocks and heavy oil-stock results in volume "losses" caused by the non-ideal behavior of those system as compared with their calculated ideal volumes which is accompany increased by increasing in temperature. also it was shown that the mixing of moderate petroleum fractions, such as gas oil and the addition of lowest boiling point spike as in the case of reformate with heavy oil-stocks produces negative excess volume. while the blends of aromatics hydrocarbons with heavy oil-stocks produces positive excess volume except for stocks 60, 150 at temperature range of 30-40 °c. nomenclature x2 mass fraction of component 2 ve excess volume, cm3/kg ρmix density of the mixture for binary system, g/cm3 ρi density of component i, g/cm3 5. references [1] s. parveen et al, “ultrasonic velocity, density, viscosity and their excess parameters of the binary mixtures of tetrahydrofuran with methanol and o-cresol at varying temperatures", applied acoustics 70 (2009) 507–513. [2] j. m. resa, c. gonz alez, j. m. goenaga and m. iglesias, “temperature dependence of excess molar volumes of ethanol +water + ethyl acetate", journal of solution chemistry, vol. 33, no. 2, february (2004). [3] elaheh k. goharshadi, maryam imani, rayhaneh rahimi-zarei, fahimeh razghandi, maryam abareshi, ali r. berenji, " prediction of excess thermodynamic functions and activity coefficients of some polymeric liquid mixtures using a new equation of state", european polymer journal 46 (2010) 587– 591. [4] thura n. a.,"correction of excess volume of oil stocks", m.sc thesis, nahrain university, baghdad, iraq, 2004. [5] jalal basiri parsa , mahdieh farshbaf haghro, " excess molar volume and viscosity deviation for binary mixtures of polyethylene glycol dimethyl ether 250 with 1,2alkanediols (c3–c6)at t = (293.15 to 323.15) k ", j. chem. thermodynamics 40 (2008) 782–788. [6] hobson, g.d., and pohl w., "modern petroleum technology"., 4th ed., applied science publisher ltd., london, (1975). [7] gruse w.a., and stevens "chemical technology of petroleum "., 3th ed., mc graw – hill, book company & new york, (1960). [8] "standard methods for analysis and testing of petroleum and related products", wiley j., and sons, new york, (1988). [9] ashcroft, s.j., booker d.r. and turner j.c.r., "volumetric behavior of oil mixtures of crude oils and light hydrocarbon", journal of the institute of energy", vol. 65, september, p. 131-136 (1992). [10] jan zielkiewicz, “excess volumes of mixing in (n,n-dimethylacetamide + methanol + water) and (n,ndimethylacetamide + ethanol + water) at the temperature 313.15 k", j. chem. thermodynamics 40 (2008) 431–436. [11] m.m.h. bhuiyan , m.h. uddin, " excess molar volumes and excess viscosities for mixtures of n,n-dimethylformamide with methanol, ethanol and 2-propanol at different temperatures ", journal of molecular liquids 138 (2008) 139–146. [12] shymaa k.a., "effect of the chemical composition on excess volume of mixtures with petroleum fractions", m.sc thesis, nahrain university, baghdad, iraq, 2005. )2011( 59 67 ، صفحة3، العدد 7مجلة الخوارزمي الھندسیة المجلد عزت نیازي سلیمان 67 الزائد لالساسات زیت التزلیق حجمعلى ال ودرجة الحرارة نسب الوزنیةتاثیر ال )الریفورمیت +التلوین +زیت الغاز(ركاربونیة بوجود المضافات الھید **شھد زھیر عطا ** حیدر موفق توفیق * عزت نیازي سلیمان جامعة كركوك/ قسم ھندسة النفط* جامعة النھرین /كلیة الھندسة /قسم الھندسة الكیمیاویة** الخالصة واالثقل وزنا ٦٠خف من حیث الوزن الجزیئي والمتوسط وھو االستوك الوھو ا ٤٠ق وھي االستوك تم استخدام ثالث انواع من اساسات زیت التزلی زیت الغاز(لمعرفة السلوك الحجمي لمخالیط تلك الزویت وكذلك سلوك تلك الزیوت حجمیا عند اضافة المضافات الھیدروكاربونیة مثل ١٥٠جزئیا االستوك دي الى زیادة في الحجم قد تكون موجبة او سالبة بمعنى تؤحیث ان اضافة ھذه المواد . )م° ٤٠-٣٠(ت حرارة متغیرة وكذلك بدرجا) الریفورمیتو التلوین و ادة الحجمیة لكل مزیج تمت یلدرجة الحرارة تاثیر ملحوظ على الز نكما ا. اخر ان ھذه االضافات قد تودي الى انكماش او تمدد حجمي في تلك الخالئط وكذلك المواد یؤدي الى حدوث انكماش ملحوظ في حجم الخالئط ) زیت الغاز(حیث تبین ان اضافة المادة الھیدروكاربونیة ذات الطابع البرافییني . دراستھ یؤدي الى ) ینولتال(بینما اضافة المادة الھیدروكاربونیة ذات الطابع الوروماتي ) الریفورمیت(الھیدروكاربونیة ذات درجة الغلیان الواطى كما ھو الحال في ین الى تلك الخالئط یؤدي الى انكماشھا والسبب في سلوك الزایلین بصورة عامة حیث ان اضافة التلو ٦٠و ١٥٠تمدد تلك الخالئط ماعدا خالئط االستوك االستوك الى الریفورمیتاضافة عند ١٥,٥٦نسبة من الوزن الزائد وھي اعلى تم الحصول على ). التلوین(المثیل في الحلقة تيمجموع یرجع الى وجود ١٥٠ . حسين قاسم حسين29-19 al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) upgrading sharky baghdad heavy crude oil hussain k. hussain* salah m. ali ** yazan m. ali ** * department of chemical engineering/ college of engineering/ university of baghdad ** petroleum research and development center/ ministry of oil (received 28 february 2011; accepted 19 jun 2011) abstract shaky baghdad heavy crude oil 22 api is processed by distillation and solvent extraction. the purpose of distillation is to separate the light distillates (light fractions) which represent 35% of heavy crude oil, and to obtain the reduced crude oil. the heavy residue (9 api) is extracted with iraqi light naphtha to get the deasphaltened oil (dao), the extraction carried out with temperature range of 20-75 oc, solvent to oil ratio 5-15:1(ml:g) and a mixing time of 15 minutes. in general, results show that api of dao increased twice the api of reduced crude oil while sulfur and metals content decreased 20% and 50% respectively. deasphaltened oil produced from various operating conditions blended with the light distillates obtained from distillation in a constant blending percentage of 35% light for all mixtures. these blends produced synthetic crude oil with api up to 30 suitable for using in the subsequent hydrocarbon processes. keyword: synthetic crude oil, deasphaltening, distillation, extraction. 1. introduction asphaltenes are high molecular weight polycyclic compounds containing nitrogen, sulfur, oxygen, and metals. the relative concentrations of these compounds vary in terms of the crude oil, and make up a unity which makes it a useful parameter for general comparisons of oils. all of these compounds are present in different oils which vary from light to heavy crudes with a broad spectrum of varying densities in which the conventional unit of gravity api gravity decreases or the oil becomes heavier, making this unit an important correlational factor. additional general correlational factors describing different types of oils are the h/c ratios, which also decrease as the oil becomes heavier. further, the polar n, s, o compounds become concentrated in the heavy ends of crudes. the heteroatom contents of these oils are measurable quantities and are also useful for correlational purposes. thus, as the sulfur and nitrogen concentrations increase, the api value decreases, consistent with an increase in the concentrations of compounds containing heteroatoms and increasing molecular weights. the high molecular weight fractions also concentrate organometallic compounds [1]. reduction of asphaltenes and metal content can be achieved by disturbing the solvation equilibrium via addition of suitable solvents, e.g., propane, pentane, heptane or carbon dioxide, resulting in the flocculation of asphaltenes [2].the solvent deasphaltation treats the residue through a pressurized liquid-liquid extraction, using specific properties of the solvent. the deasphaltation produces the deasphalted oil and the asphalted residue [3].the residuum oil supercritical extraction process is the premier deasphalting technology available in industry today. this stateof-art process extracts high-quality deasphalted oil (dao) from atmospheric or vacuum residues and other feedstocks. the asphaltene products from the rose process are often blended to fuel oil, but can also be used in the production of asphaltic blending components, solid fuels, or fuel emulsions. the development of the deasphaltation technology using supercritical fluid appears as a solution to improve the separation of the deasphalted oil (odes) from the asphaltenes. the use of supercritical fluid has some advantages like: the difference of the densities between the hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 20 extraction phase and the refining phase is greater than that obtained by the conventional liquid extraction, becoming the separation between the phases easier; the mass transport is faster using the supercritical fluid; the quantity and the quality of the odes can be easily controlled adjusting the temperature and the pressure of the extraction system and the efficiency to recover the oil is a function of the density of the supercritical fluid [3]. the solvent deasphalting process (sda) which is based on liquid–liquid extraction by using paraffinic solvents (c4–c7) is one of the most efficient approaches to reduce metal and asphaltene contents of heavy oil cuts before sending them to hydro-desulphurization and hydrocracking units. a number of deasphalting process parameters are to be considered, amongst which the dao process yield and the levels of demetalization and deasphalting could be noted. the important factors influencing the mentioned parameters are solvent composition and ratio of the solvent to the feed, temperature, pressure and the type of extractor equipment. the precipitation increases substantially as the solvent/feed ratio increases up to 10 folds. beyond this value, precipitation increases by very small amounts [4]. extraction temperature must be maintained below the critical temperature of the solvent, however, because at higher temperatures no portion of the residue is soluble in the solvent and no separation occurs[5]. in industrial plants, increasing the solvent to feed ratio compensates for the dao yield reduction with temperature rise. in consequence, the extraction process selectivity for paraffinic oils escalates and eventually the extracted oil will have an improved quality due to the reduction of undesirable components [6]. direct hydro-desulphurization followed by hydrocracking of crude oil heavy cuts and vacuum residues is one of the best methods of heavy residue upgrading in refining industry. but, problem emerges when metal and asphaltene contents of residue are high. in fact, the presence of these compounds adversely influences the activities of the hydro-desulphurization and hydrocracking catalysts. the aim of this work is to separate the light distillates from sharky baghdad heavy crude oil and to obtain deasphaltened oil by solvent extraction with light naphtha. the light and the blended dao distillate to produce high api synthetic crude oil with low sulfur and metals content. 2. experimental work 2.1. distillation process the distillation process for separation of light distillates (light fractions) from sharky baghdad heavy crude oil was achieved by a computerized laboratory distillation apparatus (according astm 5236) (pignat company, france) that consists of distillation flask, heating mantle, distillation column, condenser, thermometers, fraction collector. the physical properties of sharky baghdad heavy crude oil and distillation results are shown in table (1). figure (1) shows the schematic diagram of the laboratory distillation apparatus. table 1, physical properties of sharky baghdad crude oil. preliminary distillation (ip 24/55) value property vol. % temperature, ºc 0.922 specific gravity 15.6/15.6 ºc ibp(85 ºc) 22 api gravity 3.5 100 47 viscosity at 37.5 ºc, cs 5 125 5.044 sulfur content, wt. % 8.6 150 88 vanadium, ppm 11.6 175 25 iron, ppm 15.1 200 38 nickel, ppm 18.4 225 42.66 saturate compounds, wt. % 23 250 23.87 naphthene compounds, wt. % 27.5 275 17.8 polar aromatic compounds,wt.% 33.7 300 15.67 asphultene content,wt. % hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 21 fig.1. schematic diagram of the laboratory distillation unit. 2.2. extraction process asphaltenes are separated from atmospheric residue (350+oc) obtained from distillation stage by extraction with light naphtha. the composition of light naphtha and the physical properties of atmospheric residue are given in tables 2 and 3, respectively. the extraction process consists of three stages mixing, filtration and solvent recovery. table 2, composition of iraqi light naphtha. n-paraffins wt % i-paraffins wt % naphthenes wt % aromatics wt % c3 0.067 i-c4 0.045 cc5 0.302 benzene 0.683 n-c4 0.329 i-c5 3.956 nc6 4.37 toluene 1.904 n-c5 7.006 2mc5 10.787 cc6 2.844 n-c6 14.809 3mc5 7.421 nc7 4.11 n-c7 10.192 2mc6 6.976 nc8 7.091 3mc6 6.106 table 3, physical properties of atmospheric residue. property value specific gravity 15.6/15.6 ºc 1.002 api gravity 9.66 asphaltenes ,wt % 23 asphaltenes ,g 11.5 sulfur ,wt % 5.7 sulfur ,g 2.85 vanadium ,ppm 90 nickle ,ppm 35.2 chrome ,ppm 2.35 amixing stage mixing was carried out with 1-liter 2-neck glass flask, magnetic stirrer, heating mantle, high efficiency condenser and thermometers. 50 g of atmospheric residue was mixed with light naphtha at temperatures of 20, 50, 75oc, solvent to oil ratio 5, 10, 15:1 (ml:g) and mixing time of 15 minutes with 200 rpm. a high efficient vertical condenser operating at total reflux was mounted on mixing flask in order to decrease the solvent losses to the minimum. figure (2) shows a scheme of mixing process. when the mixing step was complete, the flask left for 1 hour at ambient temperature to let asphaltenes settle to the bottom of the flask. hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 22 fig.2. scheme of the mixing unit. bfiltration in order to filter the solvent-oil mixture in a reasonable time, a vacuum filtration unit was assembled, which consisted of a filtration flask, buchner funnel, vacuum pump and trap for condensing the high volatility solvent in order to avoid vacuum pump damage. the filter paper (whatman no. 1) was wetted with solvent before the filtration step. at the end of the filtration, the filter paper was put in a hot electrical furnace to evaporate the solvent associated with the precipitated asphaltenes. the dried filter paper was then weighed to estimate the percentage of asphaltenes yield. cevaporation solvent and deasphaltened oil is introduced to distillation unite in order to separate the solvent from dao. 2.3. blending dao produced from various operating conditions blended with the light distillates is produced from distillation stage which formed 35% from these mixtures to produce synthetic crude oil. 3. results and discussions the tests results of dao produced from various operating conditions are shown in table (4). the effective parameters of process included in these tables are specific gravity, api, asphaltene content, sulfur and metals content. table 4, tests results of deasphaltened oil. temperature oil:solvent 20 oc 01:05 01:10 01:15 specific gravity 15.6/15.6 ºc 0.946425 0.933993 0.931105 api 18.01 20 20.47 asphaltenes removed,g 8.32 10.5 11 sulfur content, wt% 4.4 4.3 4.4 vanadium,ppm 35 24.6 24 nickle,ppm 16 15.2 14.9 chrome,ppm 0.1 0.1 0.1 after blending api of synthesis crude oil 29.2065 30.5 30.8055 temperature oil:solvent 50 oc 01:05 01:10 01:15 specific gravity 15.6/15.6 ºc 0.946488 0.937086 0.93461 api 18 19.5 19.9 asphaltenes removed,g 7.81 8.2 8.4 sulfur content, wt% 4.5 4.6 4.6 vanadium,ppm 41.4 31 24.3 nickle,ppm 18 17.5 17.1 chrome,ppm 0.6 0.3 0.2 after blending api of synthesis crude oil 29.2 30.175 30.435 temperature oil:solvent 75 oc 01:05 01:10 01:15 specific gravity 15.6/15.6 ºc 0.95634 0.955436 0.9555 api 16.46 16.6 16.59 asphaltenes removed,g 5.1 7.3 7.1 sulfur content, wt% 4.8 4.7 4.6 vanadium,ppm 58.4 57 50.9 nickle,ppm 18.2 18 17.5 chrome,ppm 0.64 0.56 0.3 after blending api of synthesis crude oil 28.199 28.29 28.2835 hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 23 3.1. effect of temperature figure (3) shows that asphaltenes yield decreased with increasing temperature. this behavior is due to increasing the solubility of oil with increasing temperature which permits asphaltenes and resinous materials to escape to the oil phase. figures 4 and 5 show that api of dao and synthetic crude oil decreased with increasing temperature respectively due to decreasing of asphaltenes removal with increasing temperature. figure (6) shows that sulfur content of dao increased with increasing temperature due to the decreasing removal of asphaltenes. a figure 7, 8 and 9 shows that metals impurity reduction of vanadium, nickel and chrome respectively decreased with increasing temperature. these behaviors due to increasing asphaltenes content with increasing temperature. fig.3. effect of temperature on asphaltenes removal from rcr at various oil to solvent ratio. fig.4. effect of temperature on api of deasphaltened oil at various oil to solvent ratio. fig.(1) effect of temp on rem oved asph of rcr 0 5 10 15 20 50 75 tem p.(c) r em ov ed a sp h. 01:05 01:10 01:15 temperature (oc) a sp ha lte ne s r em ov ed (g ) 0 5 10 15 20 25 20 50 75 a pi temperature(°c) 01:05 01:10 01:15 hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 24 fig.5. effect of temperature on api of synthesis crude oil at various oil to solvent ratio fig.6. effect of temperature on sulfur content of deasphaltened oil at various oil to solvent ratio. fig.7. effect of temperature on vanadium reduction of deasphaltened oil at various oil to solvent ratio. 26.5 27 27.5 28 28.5 29 29.5 30 30.5 31 31.5 20 50 75 a pi temperature(°c) 01:05 01:10 01:15 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 20 50 75 su lfu r c on te nt (w t% ) temperature(°c) 01:05 01:10 01:15 0 10 20 30 40 50 60 70 80 20 50 75 v an ad iu m r ed uc tio n (w t% ) temperature (°c) 01:05 01:10 01:15 hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 25 fig.8. effect of temperature on nickel reduction of deasphaltened oil at various oil to solvent ratio. fig.9. effect of temperature on chrome reduction of deasphaltened oil at various oil to solvent ratio. 3.2. effect of solvent to oil ratio figure (10) shows the effect of increasing solvent to oil ratio on the removing of asphaltene. in this case, increasing solvent to oil ratio led to increasing asphaltenes removal and then to steady state at 10:1. this behavior is due to increasing solvent power and selectivity toward asphaltenes removal. figures 11 and 12 shows the effect of increasing the solvent to oil ratio on api of dao and synthetic crude oil respectively. in this case, the increasing of solvent to oil ratio led to increase of api due to increasing solvent power and selectivity for the removing of asphaltenes and then to steady state. figure (13) shows approximately steady state effect of increasing the solvent to oil ratio on sulfur content. figures 14, 15 and 16 show the effect of increasing solvent to oil ratio on vanadium, nickel and chrome impurity reduction, respectively. in this case, increasing solvent to oil ratio led to the increasing of metals impurity reduction due to increasing the removing of asphaltenes. 0 20 40 60 80 100 120 20 50 75 01:05 01:10 01:15 temperature (oc) c hr om e r ed uc tio n (w t% ) 42 44 46 48 50 52 54 56 58 60 20 50 75 n ic kl e r ed uc tio n (w t% ) temperature(°c) 01:05 01:10 01:15 hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 26 fig.10. effect of oil to solvent ratio on asphaltenes removal from rcr at different temperatures. fig.11. effect of oil to solvent ratio on api of deasphaltened oil at different temperatures. fig.12. effect of oil to solvent ratio on api of synthesis crude oil at different temperatures. 0 2 4 6 8 10 12 1:05 1:10 1:15 20 50 75 a sp ha lte ne s r em ov ed (g ) oil:solvent ratio (g:ml) 26.5 27 27.5 28 28.5 29 29.5 30 30.5 31 31.5 1:05 1:10 1:15 ap i 20 50 75 oil:solvent ratio (g:ml) 0 5 10 15 20 25 1:05 1:10 1:15 ap i 20 50 75 oil:solvent ratio (g:ml) hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 27 fig.13. effect of oil to solvent ratio on sulfur content of deasphaltened oil at different temperatures. fig.14. effect of oil to solvent ratio on vanadium reduction of deasphaltened oil at different temperatures. fig.15. effect of oil to solvent ratio on nickel reduction of deasphaltened oil at different temperatures. 42 44 46 48 50 52 54 56 58 60 1:05 1:10 1:15 n ic ke l r ed uc tio n (w t% ) oil:solvent ratio (g:ml) 20c 50c 75c 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 1:05 1:10 1:15 20c 50c 75c su lfu r c on te nt oil:solvent ratio (g:ml) 0 10 20 30 40 50 60 70 80 1:05 1:10 1:15 20c 50c 75c oil:solvent ratio (g:ml) v an ad iu m r ed uc tio n (w t% ) hussain k. hussain al-khwarizmi engineering journal, vol. 7, no. 3, pp 19 29 (2011) 28 fig.16. effect of oil to solvent ratio on chrome reduction of deasphaltened oil at different temperatures. 4. conclusions 1removing asphaltenes from the reduced crude oil produces dao with 19 api with low sulfur and metals content. 2increasing extraction temperature led to decreasing api of dao and other properties. 3increasing solvent to oil ratio led to increasing api of dao and other properties with no significant changes beyond solvent to oil ratio 10:1 (ml:g). 4optimum extraction process is carried out at temperature 20oc and 10:1 solvent to oil ratio. 5blending of light distillates in a percentage 35% with dao led to producing synthetic crude oil with 30 api and low sulfur and metals content. 5. references [1] e. t. premuzic and m. s. lin, “212th national acs meeting induced biochemical interactions in crude oils”, august 18-22, 1996, orlando, fl. [2] eckermann b. and vogelpohl a., “deasphaltization and demetalling of heavy crude olis and distillation residues with co2”, chemical engineerring and technology. v13,p.258-264, 1990. [3] mendes m. f., ferreira c. z. and pessoa f. l. p., “deasphaltion of petroleum using supercritical propane”. 2nd mercosur congress on chemical engineering, 4 nd mercosur congress on process systems engineering, enpromer, costa verde – brasil, 2005. [4] gonzalez, e. b., c. l. galeana, a. g. villegas, j. wu, aiche journal, vol. 50, no. 10 oct. 2004, p. 2552 [5] meyers, r. a., “handbook of petroleum refining processes”, 10th ed., mcgraw-hill, 2003. [6] ditman, j. g., van hook, j. p. :acs meeting atlanta, april 1981. 0 20 40 60 80 100 120 1:05 1:10 1:15 c hr om e r ed uc tio n (w t% ) oil:solvent ratio (g:ml) 20c 50c 75c )2011( 19 29 ، صفحة3، العدد 7مجلة الخوارزمي الھندسیة المجلد سم حسین احسین ق 29 رفع خواص نفط خام شرقي بغداد الثقیل **یزن مناف ** صالح مھدي *حسین قاسم حسین جامعة بغداد /كلیة الھندسة /قسم الھندسة الكیمیاویة* وزارة النفط/ مركز البحث والتطویر النفطي** الخالصة والتي تمثل ) المقاطع الخفیفة(ان الغرض من التقطیر ھو لفصل المقطرات الخفیفة . یر واالستخالصمعاملة نفط خام شرقي بغداد الثقیل بعملیات التقط قد استخلص بالنافثا العراقیة الخفیفة للحصول على متبقي ٩ان المتبقي الثقیل بثقل نوعي . وللحصول على المتبقي الجوي الثقیل, من النفط الخام الثقیل% ٣٥ بشكل عام فان .دقیقة ١٥وزمن خلط ) غم:مل( ١٥-٥:١نسبة مذیب الى اللقیم , مئویة ٧٥-٢٠االستخالص بمدى درجة حرارة ث تمحی, منزوع االسفلتینیات ى الكبریتي والمعادنالنتائج اظھرت بان الثقل النوعي للثقیل المنزوع االسفلتینیات قد ازداد مرتین بالنسبة الى المتبقي الجوي الثقیل بینما انخفض المحتو خفیف و % ٣٥تم خلط المتبقي منزوع االسفلتینیات مع المقطرات الخفیفة المستحصلة من عملیة التقطیر بنسبة خلط مئویة ثابتة .على التوالي ٥٠%و%٢٠ . مالئم لالستخدام في العملیات الھیدروكاربونیة الالحقة ٣٠ع بثقل نوعي بحدود ھذه االمزجة انتجت نفط خام مصن. لجمیع االمزجة المحضرة (microsoft word \316\341\346\317 \307\323\337\344\317\321129140) al-khwarizmi engineering journal al-khwarizmi engineering journal, vol. 14, no. 3, september, (2018) p.p. 129140 modified elman neural-pid controller design for dc-dc buck converter system based on dolphin echolocation optimization khulood e. dagher al-khwarizmi collage of engineering /university of baghdad/ baghdad/ iraq dagherkhulood@kecbu.uobagdad.edu.iq :email (received 25 september 2017; accepted 21 january 2018) https://doi.org/10.22153/kej.2018.01.009 abstract this paper describes a new proposed structure of the proportional integral derivative (pid) controller based on modified elman neural network for the dc-dc buck converter system which is used in battery operation of the portable devices. the dolphin echolocation optimization (deo) algorithm is considered as a perfect on-line tuning technique therefore, it was used for tuning and obtaining the parameters of the modified elman neural-pid controller to avoid the local minimum problem during learning the proposed controller. simulation results show that the best weight parameters of the proposed controller, which are taken from the deo, lead to find the best action and unsaturated state that will stabilize the buck converter system performance and achieve the desired output. in addition, there is a minimization for the tracking voltage error to zero value of the buck converter output, especially when changing a load resistance by 10%. keywords: buck converter, dolphin echolocation, modified elman neural pid controller, on-line-tuning optimization. 1. introduction dc-dc buck convertor is a very versatile electronic circuit due to its essential use in battery operations for different applications such as computer systems, portable devices, office equipment and any other devices that need to get an output voltage more or less than the input voltage. buck convertors acquired their name from the reality of their work, where the amplitude of input voltage is bucked/chopped or decreased to get the output voltage [1]. in fact, the optimal or near optimal control of the attenuation operation is not easy and this is because of the load variation thus, we can find various researches that solve this problem and the backbone for these researches is the famous pid controller which is well known by its structure simplicity, time domain regulation and good closed loop response [2]. hence, many optimization methods are developed to find the control gain parameters for the pid controller that is used to control the buck convertor, and some of these methods are: [3] presented a fuzzy pid controller with no defuzzification module. in [4] the authors proposed a new adaptive method based on simulated annealing algorithm to control the output voltage of the convertor. in [5] the authors proposed an on-line tuning method based on particle swarm optimization and they show high control performance. in addition to that, the genetic algorithm as a tuning control algorithm for buck converter is used as in [6]. this paper presents a new structure of the controller that uses a modified elman neural network in the form of the pid controller equation and the control parameters are tuned by an optimization algorithm named as dolphin echolocation optimization deo algorithm in order to get fast, accurate and robust control action for the dc buck converter. khulood e. dagher al-khwarizmi engineering journal, vol. 14, no. 3, p.p. 129140 (2018) 130 deo was presented by ali in 2013 [7] and proved as the most powerful optimization meta-huristic method as compared with other evolutionary algorithms in terms of the number of function evaluations and in convergence toward reaching the optimal solution. the description of this paper is as follows: section two describes the mathematical model of the dc-dc buck converter. section three explains the design of the proposed modified elman neural-pid controller. in section four, the dolphin echolocation optimization algorithm is explained. section five presents the simulation results of the proposed controller. finally, the conclusions are explained in section six. 2. buck converter circuit model in this work, an asynchronous buck convertor model is used with two n-channel mosfets as shown in figure (1) to make the output voltage vout always less than the supply voltage vs. this converter uses two controllable switches to achieve its operation rather than using one nchannel mosfet power switch and one power diode rectifier, thus it has a maximize conversion efficiency and fast switching transient [4, 8]. fig. 1. schematic diagram of synchronous buck power stage [8]. in general, the operation of the buck converter depends on q1 of the mos switch and q2 of the mos synchronous rectifier. the parameter values of the buck convertor taken from [3, 4] is shown in table 1. now to drive and analyze the mathematical model of the buck convertor two operation time have to be considered depending on two mosfets (q1 and q2) [3, 4] as follows: • at period of time t