Article AL-QADISIYAH JOURNAL FOR ENGINEERING SCIENCES 15 (2022) 212–217 Contents lists available at http://qu.edu.iq Al-Qadisiyah Journal for Engineering Sciences Journal homepage: http://qu.edu.iq/journaleng/index.php/JQES * Corresponding author. E-mail address: ahmed.shakir@qu.edu.iq (Ahmed Al-Saadi) https://doi.org/10.30772/qjes.v15i4.855 2411-7773/© 2022 University of Al-Qadisiyah. All rights reserved. This work is licensed under a Creative Commons Attribution 4.0 International License. Analysis of aerodynamics around tall buildings with several configurations Ahmed Ali Shakir Al-Saadi Department of Mechanical Engineering, College of Engineering, University of AL-Qadisiyah, Ad-Diwaniyah, Iraq. A R T I C L E I N F O Article history: Received 8 July 2022 Received in revised form 14 August 2022 Accepted 21 September 2022 Keywords: Aerodynamics Wind Tall buildings CFD Drag coefficient A B S T R A C T The streamlined exterior shapes of tall buildings are important to reduce the effect of the wind. Therefore, an examination of different techniques for the exterior design of tall buildings is required. This study aims to analyses some tall buildings to select the most streamlined design in order to reduce high wind risks. The benchmark used in the current study is a building with a height of 120 m and a triangular cross-section with a side length of 20 m. A square cross-section twisted building design is used as a modified model in tall buildings of about 120 m. The rotation angle of the building is 45° for each twisted path. Six configurations of this type of building are tested with different radiuses of fillet on their edges, which are 0, 1, 2, 3, 4, and 5 m respectively. All geometries of the buildings are created by SolidWorks, while mesh and simulations are achieved using ANSYS Fluent. A great agreement is obtained between the current results and the previous related study for the benchmark. Using twisted buildings with a fillet of 5 m can lead to a reduction of the drag coefficient of about 27.5% relative to the benchmark. Wind in a horizontal direction can be reduced by using twisted geometry. But in terms of separation, using a fillet with a large radius can lead to avoiding early separation of air. © 2022 University of Al-Qadisiyah. All rights reserved. 1. Introduction Several criteria determine the design and location of tall buildings in cities. Climate is the most important parameter for designing tall buildings [1-4]. Residential areas' environments should be improved for more comfortable and optimized energy use. And that can lead to a controlled environmental situation in these specific areas. Wind force is one of the most effective climatic factors in tall building designs [5]. A difference in temperature can lead to a change in the static pressure and that can lead to an increase in the velocity of wind [6]. Most tall building designs are more interested in studying wind loads than earthquake loads [7-10]. Architectural design, structural, and mechanical approaches are the main three approaches to designing tall buildings. The structural approach focuses on earthquake and wind loads for tall buildings because these types of buildings are more vulnerable to the external conditions than low-rise buildings [11]. It is necessary for evaluating wind loads in tall buildings and the uncommon exterior designs, especially in buildings with more than 40 stories, because of the changing wind loads fast and suddenly [12]. All architectural designers aspire to minimize the effects of wind on buildings in parallel to reduce the swirls behind the buildings, at corners, and near the ground. http://qu.edu.iq/ https://doi.org/10.30772/qjes.v15i4.855 http://creativecommons.org/licenses/by/4.0/ AHMED AL-SAADI /AL-QADISIYAH JOURNAL FOR ENGINEERING SCIENCES 15 (2021) 212–217 213 Many studies have been conducted for the exterior design optimization of tall buildings. Davenport [13] examined the effect of the exterior design of buildings on the overall behaviour of aerodynamics by using many model tests. Baghaei [14] investigated aerodynamic optimization of high-rise buildings. In his study, he focused on climate-roofing in Iran. 40 prototypes with different climates were used to achieve the optimal design. The optimal design of a building should have a minimum of eddies around the building. In the 1990's, high-rise buildings increased overall in the world, and that led to an increase in the studies of aerodynamics of tall buildings to reduce the effect of wind on this type of building [15-19]. Some researchers examined tapered and set-back design techniques for high-rise buildings [20, 21]. Other techniques of exterior building design, such as openings and spoilers, were used to reduce the effect of the wind on buildings [22, 23]. Kelly et al. [24] studied the influence of helical or twisted building models on the aerodynamics around buildings to resist wind loads. Tse et al. [25] analysed available space and cost regarding tall building designs and their effects on economic terms. Tanaka et al. [26] investigated many cross-sectional models of tall buildings, such as square, rectangular, circular, elliptical, and angle-modified models, in addition to helical and compound models. Some researchers mentioned that changing the exterior design of buildings has been restricted by many design factors, not just aerodynamics [27-29]. Furthermore, different perspectives have been taken during the design of tall buildings, in addition to aerodynamics [30-37]. Pressure coefficients for high-rise buildings have been studied to provide a clear picture of pressure differences [38-39]. while some studies concentrated on the impact of wind on pedestrians [40-43, 56]. Some previous studies used Autodesk Flow Design for simulating the aerodynamics around buildings [2, 44, 45]. Some recent research has focused on the applications of CFD in tall buildings [54, 55]. The main aim of this study is to analyse the drag force on tall buildings. Six different designs of tall buildings with a twist, in addition to the benchmark model, are used to achieve the optimal design for these proposed designs. The building with the minimum drag force is the best in terms of wind aerodynamics. That can lead to a decreased wind load on the building. Studying the aerodynamics of tall buildings is limited in many countries, such as Iraq, and that is the greatest motivation to carry out this numerical study. 2. Numerical approach The analysis of aerodynamics around high-rise buildings in this research was achieved by using CFD simulation. SolidWorks and ANSYS Fluent were used to create and simulate all configurations of tall buildings. All the 3-D full-scale configurations used in the current work were created using SolidWorks Software because of the complex shape of the twist. ANSYS Fluent was used to create a mesh around the main geometry and simulate all models inside the computational domain. 2.1. Numerical models Six twisted building models, in addition to the benchmark, were created. The benchmark had a triangular cross-sectional area with sharp edges, as in Daemei et al.'s study [2]. Nomenclature 2-D Two-dimensional L Height of the building 3-D Three-dimensional r Fillet radius CFD Computational Fluid Dynamics V Velocity A Frontal area of the building CD Drag coefficient Greek symbols FD Drag force ρ Density Figure 1. The benchmark (a) and twisted without fillet model (b). 214 AHMED AL-SAADI /AL-QADISIYAH JOURNAL FOR ENGINEERING SCIENCES 15 (2022) 212–217 While twisted building models have the same conditions except for the radius of fillet, which was nil, 1, 2, 3, 4, and 5 m respectively. All these buildings have the same height, which was 120 m, and the ratio of height to width was 6. Figure 1 shows the benchmark (a) and twisted without fillet model (b). The overall width of the benchmark model was 20 m, exactly the same as the aspect ratio (L/W=6). It was noted that the width of the cross-sectional area of the twisted model was 20 m. But the overall width of the twisted model was more than 20 m because of the twisted angle. Figure 2 illustrates all twisted models in isometric and top views. The first model on the left side is without a fillet. Then the rest, with a radius of 1 m to 5 m, respectively. It was noted that the frontal area of these twisted models was not equal because of the magnitude of the fillet radius. The frontal area of all building models was calculated by using SolidWorks software to achieve more accurate results. 2.2. Computational domain set-up ANSYS Fluent software was used to create a computational domain around the 3-D geometry of the building. Different dimensions for the computational domain have been used depending on the scale of the model and conditions [46-48]. Figure 3 shows the benckmark model inside the computational domain. Recommended dimensions by Bairagi and Dalui [48] were used in the current study. The distance from the inlet to the tested model was five times the building's height. While the distance from the tested model to the outlet was 15 times the building's height, the overall width of the computational domain was 10 times the building's height, in addition to the width of the building. The overall height of the computational domain was 6 times the building's height. 2.3. Mesh refinement Creating mesh is a very important step to obtaining accurate results. Therefore, mesh refinement, especially near the wall of testing geometry, is crucial. Tetrahedral mesh is used in all cases of the present study because of its sharp edges and twisted geometry. Prismatic cells are added around buildings and over the ground to improve the quality of the mesh. Seven layers of prismatic cells are used as the optimal case in the current study. A growth rate of 1.2 is used in the global domain of mesh. Figure 4 shows the side view of the mesh throughout the computational domain. Real air movement is not completely horizontal, but it can be in any direction because of the topography of the earth. Some previous studies focused on the direction of air and the effect of it on pedestrian comfort, as shown in Figure 5 [49-53]. The wind speed increases as the distance from the ground increases. The highest velocity of air could occur at a height of about 500 m [14]. In the current study, the direction of air is completely Figure 2. All twisted building models. Figure 3. Tall building inside the computational domain Figure 4. Mesh with seven layers of prismatic cells AHMED AL-SAADI /AL-QADISIYAH JOURNAL FOR ENGINEERING SCIENCES 15 (2021) 212–217 215 parallel to the horizontal ground of the computational domain. 2.4. Drag coefficient The drag coefficient (CD) is a dimensionless quantity which represents, in the current study, the resistance of a building against the wind. It is better to decrease this amount as much as possible to increase comfort standards for pedestrians and to decrease serious problems for pedestrians at the same time. Each shape has a different drag coefficient than the others. This dimensionless quantity can be mathematically clarified by the following equation (1) [2]: 𝐶𝐷 = 2 𝐹𝐷 𝜌 𝐴 𝑉 2 (1) where CD represents the drag coefficient, and it is a dimensionless quantity. FD represents the drag force (N). ρ represents the air density (kg/m 3) at 15℃. A represents the frontal area of the building (m2). V represents wind speed (m/s). 3. Results and discussions The numerical simulations were achieved in two stages. First, CD was evaluated for the building with a triangular cross-sectional area as in Daemei et al.'s [2] study to validate the methodology of the present study. Then, six modified exterior shapes of twisted buildings were simulated. 3.1. Validation of numerical results The mesh dependency test is the major step to achieving accurate numerical results. Therefore, a variety of mesh densities were tested to obtain the optimal number of meshes for this study. Figure 6 shows the mesh dependency test for the benchmark in the present study. Validation of the numerical simulation results for the benchmark in the current study was accomplished by comparing them with the previous study of Daemei et al. [2] for similar conditions. The benchmark model of the building in the present study had an equilateral triangular cross-sectional area. The length of the side of the triangle was 20 m, while the overall height of this building was 120 m. This baseline model had sharp edges on all sides, exactly similar to the model in the previous study [2]. Figure 7 shows the drag coefficient with the time for the benchmark in Daemei et al. study [2]. They used Autodesk Flow Design to achieve all drag coefficients for many configurations. Figure 8 shows the CD as a function to iterations for the benchmark in the present study; ANSYS Fluent was applied to obtain all numerical results. Table 1 shows the CD in the current study and previous study. A good agreement on the benchmark data between the previous and present studies was achieved. Table 1. Drag coefficients for the benchmark. A previous study [2] Current study Software Autodesk Flow Design ANSYS Fluent CD 0.79 0.8 Percentage Error (%) ----- 1.2 Figure 7. CD of the basic model in Daemei et al. study [2] 0 0.2 0.4 0.6 0.8 1 1.2 0.E+00 1.E+06 2.E+06 3.E+06 4.E+06 5.E+06 CD Number of mesh Figure 5. Airflow around buildings [14] Figure 6. CD as a function of mesh dependency. CD Time (s) CD Number of mesh 216 AHMED AL-SAADI /AL-QADISIYAH JOURNAL FOR ENGINEERING SCIENCES 15 (2022) 212–217 3.2. Numerical simulation results of modified buildings The numerical simulations for the modified models of buildings were conducted. The CD was assessed on twisted models of buildings. Six modified models were simulated. All modified models had the same overall height, cross-sectional shape, and twisted angle. The first model had sharp edges, while the other five had fillet radiuses of 1, 2, 3, 4, and 5 m. The frontal area of these models was not equal because of the different edges. And it was calculated by using SolidWorks for more accurate results. All values of CD were recorded and evaluated when the airflow was in a stabilization mode. Six modified models, in addition to the benchmark, were investigated. A comparison between all models was employed to figure out which model has the lowest drag coefficient in order to reduce drag force and bending torque. It is clear from Figure 9 and Table 2 that the CD of the benchmark was about 0.8. While the CD for all modified buildings was less than 0.7, as shown in Figure 9. The twisted building without a rounded fillet had the highest CD of the modified group of buildings because of early separation of air. Using fillet on all edges can reduce CD as well as vortex formations behind the building. According to Figure 9 and Table 2, increasing the radius of the fillet decreases the drag coefficient. Increasing the radius of fillet for edges can lead to decreasing CD, but that can be affected by the capacity of the building. Therefore, a balance between CD and the capacity of the building should be taken into consideration. Twisted tall buildings, on the other hand, are an expensive style to implement, but they are important in earthquake zones, as mentioned in previous studies [2, 24]. Table 2. Drag coefficients for all models 4. Conclusion Six modified exterior shapes of buildings, in addition to the benchmark, were numerically simulated using ANSYS Fluent to determine the optimal design among them, in proportion to the drag coefficient. 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