id sid tid token lemma pos cana-3879 1 1 communications communication NOUN cana-3879 1 2 on on ADP cana-3879 1 3 applied apply VERB cana-3879 1 4 nonlinear nonlinear ADJ cana-3879 1 5 analysis analysis NOUN cana-3879 1 6 issn issn NOUN cana-3879 1 7 : : PUNCT cana-3879 1 8 1074 1074 NUM cana-3879 1 9 - - PUNCT cana-3879 1 10 133x 133x NUM cana-3879 1 11 vol vol NOUN cana-3879 1 12 32 32 NUM cana-3879 1 13 no no NOUN cana-3879 1 14 . . PUNCT cana-3879 2 1 9s 9s NUM cana-3879 2 2 ( ( PUNCT cana-3879 2 3 2025 2025 NUM cana-3879 2 4 ) ) PUNCT cana-3879 2 5 313 313 NUM cana-3879 2 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 2 7 mathematical mathematical ADJ cana-3879 2 8 analysis analysis NOUN cana-3879 2 9 of of ADP cana-3879 2 10 thermodynamic thermodynamic ADJ cana-3879 2 11 model model NOUN cana-3879 2 12 to to PART cana-3879 2 13 predict predict VERB cana-3879 2 14 the the DET cana-3879 2 15 engine engine NOUN cana-3879 2 16 parameters parameter NOUN cana-3879 2 17 anbuchezian anbuchezian PROPN cana-3879 2 18 ashokan1 ashokan1 PROPN cana-3879 2 19 * * PROPN cana-3879 2 20 , , PUNCT cana-3879 2 21 hariharan hariharan PROPN cana-3879 2 22 elangandhi2,5 elangandhi2,5 PROPN cana-3879 2 23 , , PUNCT cana-3879 2 24 ravikumar ravikumar PROPN cana-3879 2 25 venkatachalam3 venkatachalam3 PROPN cana-3879 2 26 , , PUNCT cana-3879 2 27 inbasekaran inbasekaran PROPN cana-3879 2 28 alagarasan4 alagarasan4 PROPN cana-3879 2 29 , , PUNCT cana-3879 2 30 silambarasan silambarasan NOUN cana-3879 2 31 rajendran5,6,8 rajendran5,6,8 NOUN cana-3879 2 32 * * PROPN cana-3879 2 33 , , PUNCT cana-3879 2 34 balu balu NOUN cana-3879 2 35 pandian7 pandian7 ADV cana-3879 2 36 1department 1department NUM cana-3879 2 37 of of ADP cana-3879 2 38 civil civil ADJ cana-3879 2 39 engineering engineering NOUN cana-3879 2 40 , , PUNCT cana-3879 2 41 annapoorana annapoorana PROPN cana-3879 2 42 engineering engineering PROPN cana-3879 2 43 college college NOUN cana-3879 2 44 , , PUNCT cana-3879 2 45 seeragapadi seeragapadi NOUN cana-3879 2 46 , , PUNCT cana-3879 2 47 salem636308 salem636308 PROPN cana-3879 2 48 , , PUNCT cana-3879 2 49 tamil tamil PROPN cana-3879 2 50 nadu nadu PROPN cana-3879 2 51 , , PUNCT cana-3879 2 52 india india PROPN cana-3879 2 53 . . PUNCT cana-3879 3 1 2,5department 2,5department NUM cana-3879 3 2 of of ADP cana-3879 3 3 mechanical mechanical ADJ cana-3879 3 4 engineering engineering NOUN cana-3879 3 5 , , PUNCT cana-3879 3 6 annapoorana annapoorana PROPN cana-3879 3 7 engineering engineering PROPN cana-3879 3 8 college college PROPN cana-3879 3 9 , , PUNCT cana-3879 3 10 seeragapadi seeragapadi NOUN cana-3879 3 11 , , PUNCT cana-3879 3 12 salem-636308 salem-636308 ADJ cana-3879 3 13 , , PUNCT cana-3879 3 14 tamil tamil PROPN cana-3879 3 15 nadu nadu PROPN cana-3879 3 16 , , PUNCT cana-3879 3 17 india india PROPN cana-3879 3 18 . . PUNCT cana-3879 4 1 3department 3department NUM cana-3879 4 2 of of ADP cana-3879 4 3 mechanical mechanical ADJ cana-3879 4 4 engineering engineering NOUN cana-3879 4 5 , , PUNCT cana-3879 4 6 sona sona PROPN cana-3879 4 7 college college PROPN cana-3879 4 8 of of ADP cana-3879 4 9 technology technology NOUN cana-3879 4 10 , , PUNCT cana-3879 4 11 salem-636005 salem-636005 NOUN cana-3879 4 12 , , PUNCT cana-3879 4 13 tamil tamil PROPN cana-3879 4 14 nadu nadu PROPN cana-3879 4 15 , , PUNCT cana-3879 4 16 india india PROPN cana-3879 4 17 . . PUNCT cana-3879 5 1 4department 4department NUM cana-3879 5 2 of of ADP cana-3879 5 3 mechanical mechanical ADJ cana-3879 5 4 engineering engineering NOUN cana-3879 5 5 , , PUNCT cana-3879 5 6 r r NOUN cana-3879 5 7 p p X cana-3879 5 8 sarathy sarathy ADJ cana-3879 5 9 institute institute NOUN cana-3879 5 10 of of ADP cana-3879 5 11 technology technology NOUN cana-3879 5 12 , , PUNCT cana-3879 5 13 poosaripatti poosaripatti NOUN cana-3879 5 14 , , PUNCT cana-3879 5 15 salem-636305 salem-636305 NOUN cana-3879 5 16 , , PUNCT cana-3879 5 17 tamil tamil PROPN cana-3879 5 18 nadu nadu PROPN cana-3879 5 19 , , PUNCT cana-3879 5 20 india india PROPN cana-3879 5 21 . . PUNCT cana-3879 6 1 6department 6department NUM cana-3879 6 2 of of ADP cana-3879 6 3 mechanical mechanical ADJ cana-3879 6 4 engineering engineering NOUN cana-3879 6 5 , , PUNCT cana-3879 6 6 saveetha saveetha PROPN cana-3879 6 7 school school PROPN cana-3879 6 8 of of ADP cana-3879 6 9 engineering engineering PROPN cana-3879 6 10 , , PUNCT cana-3879 6 11 saveetha saveetha PROPN cana-3879 6 12 institute institute PROPN cana-3879 6 13 of of ADP cana-3879 6 14 medical medical ADJ cana-3879 6 15 and and CCONJ cana-3879 6 16 technical technical ADJ cana-3879 6 17 sciences science NOUN cana-3879 6 18 , , PUNCT cana-3879 6 19 chennai chennai PROPN cana-3879 6 20 , , PUNCT cana-3879 6 21 tamil tamil PROPN cana-3879 6 22 nadu nadu PROPN cana-3879 6 23 , , PUNCT cana-3879 6 24 india india PROPN cana-3879 6 25 . . PUNCT cana-3879 7 1 7department 7department NUM cana-3879 7 2 of of ADP cana-3879 7 3 automobile automobile NOUN cana-3879 7 4 engineering engineering NOUN cana-3879 7 5 , , PUNCT cana-3879 7 6 bharath bharath PROPN cana-3879 7 7 institute institute PROPN cana-3879 7 8 of of ADP cana-3879 7 9 higher high ADJ cana-3879 7 10 education education NOUN cana-3879 7 11 and and CCONJ cana-3879 7 12 research research NOUN cana-3879 7 13 , , PUNCT cana-3879 7 14 chennai chennai PROPN cana-3879 7 15 , , PUNCT cana-3879 7 16 tamil tamil PROPN cana-3879 7 17 nadu nadu PROPN cana-3879 7 18 , , PUNCT cana-3879 7 19 india india PROPN cana-3879 7 20 . . PUNCT cana-3879 8 1 8centre 8centre NUM cana-3879 8 2 for for ADP cana-3879 8 3 research research NOUN cana-3879 8 4 impact impact NOUN cana-3879 8 5 and and CCONJ cana-3879 8 6 outcome outcome NOUN cana-3879 8 7 , , PUNCT cana-3879 8 8 chitkara chitkara PROPN cana-3879 8 9 university university PROPN cana-3879 8 10 institute institute NOUN cana-3879 8 11 of of ADP cana-3879 8 12 engineering engineering NOUN cana-3879 8 13 and and CCONJ cana-3879 8 14 technology technology NOUN cana-3879 8 15 , , PUNCT cana-3879 8 16 chitkara chitkara ADJ cana-3879 8 17 university university NOUN cana-3879 8 18 , , PUNCT cana-3879 8 19 rajpura140417,punjab rajpura140417,punjab PROPN cana-3879 8 20 , , PUNCT cana-3879 8 21 india india PROPN cana-3879 8 22 . . PUNCT cana-3879 9 1 * * PUNCT cana-3879 9 2 corresponding correspond VERB cana-3879 9 3 author author NOUN cana-3879 9 4 : : PUNCT cana-3879 9 5 simbu2explore@gmail.com simbu2explore@gmail.com PROPN cana-3879 9 6 article article PROPN cana-3879 9 7 history history NOUN cana-3879 9 8 : : PUNCT cana-3879 9 9 received receive VERB cana-3879 9 10 : : PUNCT cana-3879 9 11 12 12 NUM cana-3879 9 12 - - SYM cana-3879 9 13 11 11 NUM cana-3879 9 14 - - PUNCT cana-3879 9 15 2024 2024 NUM cana-3879 9 16 revised:24 revised:24 X cana-3879 9 17 - - PUNCT cana-3879 9 18 12 12 NUM cana-3879 9 19 - - PUNCT cana-3879 9 20 2024 2024 NUM cana-3879 9 21 accepted:08 accepted:08 NOUN cana-3879 9 22 - - PUNCT cana-3879 9 23 01 01 NUM cana-3879 9 24 - - PUNCT cana-3879 9 25 2025 2025 NUM cana-3879 9 26 abstract abstract NOUN cana-3879 9 27 : : PUNCT cana-3879 9 28 to to PART cana-3879 9 29 predict predict VERB cana-3879 9 30 the the DET cana-3879 9 31 thermodynamic thermodynamic ADJ cana-3879 9 32 performance performance NOUN cana-3879 9 33 parameters parameter NOUN cana-3879 9 34 si si NOUN cana-3879 9 35 engine engine NOUN cana-3879 9 36 two two NUM cana-3879 9 37 zone zone NOUN cana-3879 9 38 thermodynamic thermodynamic ADJ cana-3879 9 39 simulation simulation NOUN cana-3879 9 40 model model NOUN cana-3879 9 41 was be AUX cana-3879 9 42 developed develop VERB cana-3879 9 43 . . PUNCT cana-3879 10 1 the the DET cana-3879 10 2 engine engine NOUN cana-3879 10 3 performance performance NOUN cana-3879 10 4 and and CCONJ cana-3879 10 5 thermodynamic thermodynamic ADJ cana-3879 10 6 parameters parameter NOUN cana-3879 10 7 was be AUX cana-3879 10 8 predicted predict VERB cana-3879 10 9 using use VERB cana-3879 10 10 first first ADJ cana-3879 10 11 order order NOUN cana-3879 10 12 mathematical mathematical ADJ cana-3879 10 13 ordinary ordinary ADJ cana-3879 10 14 differential differential ADJ cana-3879 10 15 equations equation NOUN cana-3879 10 16 such such ADJ cana-3879 10 17 as as ADP cana-3879 10 18 peak peak NOUN cana-3879 10 19 pressure pressure NOUN cana-3879 10 20 , , PUNCT cana-3879 10 21 burned burn VERB cana-3879 10 22 gas gas NOUN cana-3879 10 23 temperature temperature NOUN cana-3879 10 24 , , PUNCT cana-3879 10 25 unburned unburned ADJ cana-3879 10 26 gas gas NOUN cana-3879 10 27 temperature temperature NOUN cana-3879 10 28 , , PUNCT cana-3879 10 29 heat heat NOUN cana-3879 10 30 transfer transfer NOUN cana-3879 10 31 , , PUNCT cana-3879 10 32 heat heat NOUN cana-3879 10 33 leakage leakage NOUN cana-3879 10 34 , , PUNCT cana-3879 10 35 heat heat NOUN cana-3879 10 36 flux flux NOUN cana-3879 10 37 and and CCONJ cana-3879 10 38 adiabatic adiabatic ADJ cana-3879 10 39 flame flame NOUN cana-3879 10 40 temperature temperature NOUN cana-3879 10 41 . . PUNCT cana-3879 11 1 the the DET cana-3879 11 2 fuel fuel NOUN cana-3879 11 3 is be AUX cana-3879 11 4 specified specify VERB cana-3879 11 5 by by ADP cana-3879 11 6 the the DET cana-3879 11 7 way way NOUN cana-3879 11 8 of of ADP cana-3879 11 9 c c NOUN cana-3879 11 10 - - PUNCT cana-3879 11 11 h h NOUN cana-3879 11 12 - - PUNCT cana-3879 11 13 o o NOUN cana-3879 11 14 - - PUNCT cana-3879 11 15 n n PRON cana-3879 11 16 values value NOUN cana-3879 11 17 , , PUNCT cana-3879 11 18 the the DET cana-3879 11 19 equilibrium equilibrium NOUN cana-3879 11 20 state state NOUN cana-3879 11 21 of of ADP cana-3879 11 22 combustion combustion NOUN cana-3879 11 23 products product NOUN cana-3879 11 24 was be AUX cana-3879 11 25 determined determine VERB cana-3879 11 26 by by ADP cana-3879 11 27 olikara olikara NOUN cana-3879 11 28 and and CCONJ cana-3879 11 29 borman borman NOUN cana-3879 11 30 method method NOUN cana-3879 11 31 . . PUNCT cana-3879 12 1 the the DET cana-3879 12 2 model model NOUN cana-3879 12 3 was be AUX cana-3879 12 4 developed develop VERB cana-3879 12 5 for for ADP cana-3879 12 6 air air NOUN cana-3879 12 7 cooled cool VERB cana-3879 12 8 , , PUNCT cana-3879 12 9 single single ADJ cana-3879 12 10 cylinder cylinder NOUN cana-3879 12 11 , , PUNCT cana-3879 12 12 4 4 NUM cana-3879 12 13 stroke stroke NOUN cana-3879 12 14 si si NOUN cana-3879 12 15 engine engine NOUN cana-3879 12 16 with with ADP cana-3879 12 17 variable variable ADJ cana-3879 12 18 compression compression NOUN cana-3879 12 19 ratio ratio NOUN cana-3879 12 20 of of ADP cana-3879 12 21 6 6 NUM cana-3879 12 22 - - SYM cana-3879 12 23 8 8 NUM cana-3879 12 24 . . PUNCT cana-3879 13 1 curve curve VERB cana-3879 13 2 fit fit ADJ cana-3879 13 3 co co ADJ cana-3879 13 4 - - ADJ cana-3879 13 5 efficient efficient ADJ cana-3879 13 6 are be AUX cana-3879 13 7 used use VERB cana-3879 13 8 to to PART cana-3879 13 9 simulate simulate VERB cana-3879 13 10 air air NOUN cana-3879 13 11 and and CCONJ cana-3879 13 12 fuel fuel NOUN cana-3879 13 13 data datum NOUN cana-3879 13 14 along along ADP cana-3879 13 15 with with ADP cana-3879 13 16 residuals residual NOUN cana-3879 13 17 . . PUNCT cana-3879 14 1 thermodynamic thermodynamic ADJ cana-3879 14 2 parameters parameter NOUN cana-3879 14 3 are be AUX cana-3879 14 4 plotted plot VERB cana-3879 14 5 with with ADP cana-3879 14 6 respect respect NOUN cana-3879 14 7 to to ADP cana-3879 14 8 crank crank PROPN cana-3879 14 9 angle angle PROPN cana-3879 14 10 . . PUNCT cana-3879 15 1 the the DET cana-3879 15 2 objective objective NOUN cana-3879 15 3 of of ADP cana-3879 15 4 this this DET cana-3879 15 5 work work NOUN cana-3879 15 6 was be AUX cana-3879 15 7 to to PART cana-3879 15 8 study study VERB cana-3879 15 9 the the DET cana-3879 15 10 thermodynamic thermodynamic ADJ cana-3879 15 11 , , PUNCT cana-3879 15 12 performance performance NOUN cana-3879 15 13 parameters parameter NOUN cana-3879 15 14 of of ADP cana-3879 15 15 si si NOUN cana-3879 15 16 engine engine NOUN cana-3879 15 17 using use VERB cana-3879 15 18 various various ADJ cana-3879 15 19 mathematical mathematical ADJ cana-3879 15 20 models model NOUN cana-3879 15 21 . . PUNCT cana-3879 16 1 keywords keyword NOUN cana-3879 16 2 : : PUNCT cana-3879 16 3 spark spark NOUN cana-3879 16 4 ignition ignition NOUN cana-3879 16 5 engine engine NOUN cana-3879 16 6 ; ; PUNCT cana-3879 16 7 alternate alternate ADJ cana-3879 16 8 fuels fuel NOUN cana-3879 16 9 ; ; PUNCT cana-3879 16 10 simulation simulation NOUN cana-3879 16 11 ; ; PUNCT cana-3879 16 12 two two NUM cana-3879 16 13 zone zone NOUN cana-3879 16 14 ; ; PUNCT cana-3879 16 15 thermodynamic thermodynamic ADJ cana-3879 16 16 model model NOUN cana-3879 16 17 communications communication NOUN cana-3879 16 18 on on ADP cana-3879 16 19 applied apply VERB cana-3879 16 20 nonlinear nonlinear ADJ cana-3879 16 21 analysis analysis NOUN cana-3879 16 22 issn issn NOUN cana-3879 16 23 : : PUNCT cana-3879 16 24 1074 1074 NUM cana-3879 16 25 - - PUNCT cana-3879 16 26 133x 133x NUM cana-3879 16 27 vol vol NOUN cana-3879 16 28 32 32 NUM cana-3879 16 29 no no NOUN cana-3879 16 30 . . PUNCT cana-3879 17 1 9s 9s NUM cana-3879 17 2 ( ( PUNCT cana-3879 17 3 2025 2025 NUM cana-3879 17 4 ) ) PUNCT cana-3879 17 5 314 314 NUM cana-3879 17 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 17 7 i. i. NOUN cana-3879 17 8 introduction introduction NOUN cana-3879 17 9 the the DET cana-3879 17 10 present present ADJ cana-3879 17 11 trend trend NOUN cana-3879 17 12 is be AUX cana-3879 17 13 towards towards ADP cana-3879 17 14 the the DET cana-3879 17 15 development development NOUN cana-3879 17 16 of of ADP cana-3879 17 17 comprehensive comprehensive ADJ cana-3879 17 18 3 3 NUM cana-3879 17 19 - - PUNCT cana-3879 17 20 d d NOUN cana-3879 17 21 models model NOUN cana-3879 17 22 , , PUNCT cana-3879 17 23 which which PRON cana-3879 17 24 describes describe VERB cana-3879 17 25 the the DET cana-3879 17 26 functioning functioning NOUN cana-3879 17 27 of of ADP cana-3879 17 28 engines engine NOUN cana-3879 17 29 at at ADP cana-3879 17 30 a a DET cana-3879 17 31 very very ADV cana-3879 17 32 high high ADJ cana-3879 17 33 level level NOUN cana-3879 17 34 of of ADP cana-3879 17 35 detail detail NOUN cana-3879 17 36 and and CCONJ cana-3879 17 37 accuracy accuracy NOUN cana-3879 17 38 ; ; PUNCT cana-3879 17 39 however however ADV cana-3879 17 40 , , PUNCT cana-3879 17 41 these these PRON cana-3879 17 42 require require VERB cana-3879 17 43 substantial substantial ADJ cana-3879 17 44 computational computational ADJ cana-3879 17 45 power power NOUN cana-3879 17 46 . . PUNCT cana-3879 18 1 also also ADV cana-3879 18 2 , , PUNCT cana-3879 18 3 the the DET cana-3879 18 4 need need NOUN cana-3879 18 5 for for ADP cana-3879 18 6 precise precise ADJ cana-3879 18 7 experimental experimental ADJ cana-3879 18 8 input input NOUN cana-3879 18 9 makes make VERB cana-3879 18 10 the the DET cana-3879 18 11 process process NOUN cana-3879 18 12 significantly significantly ADV cana-3879 18 13 complicated complicated ADJ cana-3879 18 14 and and CCONJ cana-3879 18 15 time time NOUN cana-3879 18 16 consuming consume VERB cana-3879 18 17 . . PUNCT cana-3879 19 1 there there PRON cana-3879 19 2 are be VERB cana-3879 19 3 several several ADJ cana-3879 19 4 instances instance NOUN cana-3879 19 5 where where SCONJ cana-3879 19 6 theoretical theoretical ADJ cana-3879 19 7 methods method NOUN cana-3879 19 8 , , PUNCT cana-3879 19 9 which which PRON cana-3879 19 10 are be AUX cana-3879 19 11 based base VERB cana-3879 19 12 on on ADP cana-3879 19 13 a a DET cana-3879 19 14 limited limited ADJ cana-3879 19 15 set set NOUN cana-3879 19 16 of of ADP cana-3879 19 17 experimental experimental ADJ cana-3879 19 18 data datum NOUN cana-3879 19 19 , , PUNCT cana-3879 19 20 are be AUX cana-3879 19 21 preferred prefer VERB cana-3879 19 22 . . PUNCT cana-3879 20 1 from from ADP cana-3879 20 2 these these DET cana-3879 20 3 considerations consideration NOUN cana-3879 20 4 , , PUNCT cana-3879 20 5 the the DET cana-3879 20 6 need need NOUN cana-3879 20 7 for for ADP cana-3879 20 8 a a DET cana-3879 20 9 simple simple ADJ cana-3879 20 10 , , PUNCT cana-3879 20 11 fast fast ADJ cana-3879 20 12 and and CCONJ cana-3879 20 13 accurate accurate ADJ cana-3879 20 14 engine engine NOUN cana-3879 20 15 simulation simulation NOUN cana-3879 20 16 model model NOUN cana-3879 20 17 is be AUX cana-3879 20 18 quite quite ADV cana-3879 20 19 evident evident ADJ cana-3879 20 20 . . PUNCT cana-3879 21 1 a a DET cana-3879 21 2 two two NUM cana-3879 21 3 - - PUNCT cana-3879 21 4 zone zone NOUN cana-3879 21 5 , , PUNCT cana-3879 21 6 zero zero NUM cana-3879 21 7 - - PUNCT cana-3879 21 8 dimensional dimensional ADJ cana-3879 21 9 model model NOUN cana-3879 21 10 was be AUX cana-3879 21 11 used use VERB cana-3879 21 12 to to PART cana-3879 21 13 simulate simulate VERB cana-3879 21 14 the the DET cana-3879 21 15 engine engine NOUN cana-3879 21 16 operations operation NOUN cana-3879 21 17 . . PUNCT cana-3879 22 1 the the DET cana-3879 22 2 most most ADV cana-3879 22 3 important important ADJ cana-3879 22 4 assumptions assumption NOUN cana-3879 22 5 were be AUX cana-3879 22 6 that that SCONJ cana-3879 22 7 , , PUNCT cana-3879 22 8 a a X cana-3879 22 9 ) ) PUNCT cana-3879 22 10 the the DET cana-3879 22 11 working work VERB cana-3879 22 12 medium medium NOUN cana-3879 22 13 was be AUX cana-3879 22 14 considered consider VERB cana-3879 22 15 , , PUNCT cana-3879 22 16 in in ADP cana-3879 22 17 general general ADJ cana-3879 22 18 , , PUNCT cana-3879 22 19 to to PART cana-3879 22 20 be be AUX cana-3879 22 21 a a DET cana-3879 22 22 mixture mixture NOUN cana-3879 22 23 of of ADP cana-3879 22 24 14 14 NUM cana-3879 22 25 species specie NOUN cana-3879 22 26 ( ( PUNCT cana-3879 22 27 o2 o2 PROPN cana-3879 22 28 , , PUNCT cana-3879 22 29 n2 n2 ADJ cana-3879 22 30 , , PUNCT cana-3879 22 31 co2 co2 NOUN cana-3879 22 32 , , PUNCT cana-3879 22 33 h2o h2o PROPN cana-3879 22 34 , , PUNCT cana-3879 22 35 h2 h2 NOUN cana-3879 22 36 , , PUNCT cana-3879 22 37 oh oh INTJ cana-3879 22 38 , , PUNCT cana-3879 22 39 no no INTJ cana-3879 22 40 , , PUNCT cana-3879 22 41 co co NOUN cana-3879 22 42 , , PUNCT cana-3879 22 43 o o NOUN cana-3879 22 44 , , PUNCT cana-3879 22 45 h h NOUN cana-3879 22 46 , , PUNCT cana-3879 22 47 n n CCONJ cana-3879 22 48 , , PUNCT cana-3879 22 49 ar ar PROPN cana-3879 22 50 , , PUNCT cana-3879 22 51 no2 no2 PROPN cana-3879 22 52 , , PUNCT cana-3879 22 53 ho2 ho2 PROPN cana-3879 22 54 ) ) PUNCT cana-3879 22 55 and and CCONJ cana-3879 22 56 fuel fuel NOUN cana-3879 22 57 vapor vapor NOUN cana-3879 22 58 . . PUNCT cana-3879 23 1 b b X cana-3879 23 2 ) ) PUNCT cana-3879 23 3 all all DET cana-3879 23 4 14 14 NUM cana-3879 23 5 species specie NOUN cana-3879 23 6 were be AUX cana-3879 23 7 considered consider VERB cana-3879 23 8 as as ADP cana-3879 23 9 ideal ideal ADJ cana-3879 23 10 gases gas NOUN cana-3879 23 11 . . PUNCT cana-3879 24 1 and and CCONJ cana-3879 24 2 c c AUX cana-3879 24 3 ) ) PUNCT cana-3879 24 4 the the DET cana-3879 24 5 alternate alternate ADJ cana-3879 24 6 fuels fuel NOUN cana-3879 24 7 are be AUX cana-3879 24 8 limited limit VERB cana-3879 24 9 to to ADP cana-3879 24 10 c c NOUN cana-3879 24 11 - - PUNCT cana-3879 24 12 h h NOUN cana-3879 24 13 - - PUNCT cana-3879 24 14 o o NOUN cana-3879 24 15 - - ADJ cana-3879 24 16 n n PRON cana-3879 24 17 species specie NOUN cana-3879 24 18 . . PUNCT cana-3879 25 1 hence hence ADV cana-3879 25 2 , , PUNCT cana-3879 25 3 this this DET cana-3879 25 4 paper paper NOUN cana-3879 25 5 aims aim VERB cana-3879 25 6 to to PART cana-3879 25 7 combine combine VERB cana-3879 25 8 the the DET cana-3879 25 9 benefits benefit NOUN cana-3879 25 10 of of ADP cana-3879 25 11 various various ADJ cana-3879 25 12 known know VERB cana-3879 25 13 models model NOUN cana-3879 25 14 to to PART cana-3879 25 15 achieve achieve VERB cana-3879 25 16 this this DET cana-3879 25 17 goal goal NOUN cana-3879 25 18 . . PUNCT cana-3879 26 1 2 2 X cana-3879 26 2 . . NUM cana-3879 26 3 zero zero NUM cana-3879 26 4 - - PUNCT cana-3879 26 5 dimensional dimensional ADJ cana-3879 26 6 thermodynamic thermodynamic ADJ cana-3879 26 7 model model NOUN cana-3879 26 8 formulation formulation NOUN cana-3879 26 9 the the DET cana-3879 26 10 combustion combustion NOUN cana-3879 26 11 chamber chamber NOUN cana-3879 26 12 is be AUX cana-3879 26 13 divided divide VERB cana-3879 26 14 into into ADP cana-3879 26 15 two two NUM cana-3879 26 16 zones zone NOUN cana-3879 26 17 consisting consist VERB cana-3879 26 18 of of ADP cana-3879 26 19 unburned unburned ADJ cana-3879 26 20 gas gas NOUN cana-3879 26 21 ( ( PUNCT cana-3879 26 22 mixture mixture NOUN cana-3879 26 23 of of ADP cana-3879 26 24 fuel fuel NOUN cana-3879 26 25 , , PUNCT cana-3879 26 26 air air NOUN cana-3879 26 27 and and CCONJ cana-3879 26 28 residuals residual NOUN cana-3879 26 29 ) ) PUNCT cana-3879 26 30 and and CCONJ cana-3879 26 31 burned burn VERB cana-3879 26 32 gas gas NOUN cana-3879 26 33 ( ( PUNCT cana-3879 26 34 mixture mixture NOUN cana-3879 26 35 of of ADP cana-3879 26 36 10 10 NUM cana-3879 26 37 product product NOUN cana-3879 26 38 species specie NOUN cana-3879 26 39 ) ) PUNCT cana-3879 26 40 , , PUNCT cana-3879 26 41 each each PRON cana-3879 26 42 under under ADP cana-3879 26 43 uniform uniform ADJ cana-3879 26 44 composition composition NOUN cana-3879 26 45 . . PUNCT cana-3879 27 1 following follow VERB cana-3879 27 2 assumptions assumption NOUN cana-3879 27 3 are be AUX cana-3879 27 4 considered consider VERB cana-3879 27 5 while while SCONJ cana-3879 27 6 developing develop VERB cana-3879 27 7 the the DET cana-3879 27 8 model model NOUN cana-3879 27 9 . . PUNCT cana-3879 28 1 the the DET cana-3879 28 2 pressure pressure NOUN cana-3879 28 3 at at ADP cana-3879 28 4 any any DET cana-3879 28 5 instant instant NOUN cana-3879 28 6 is be AUX cana-3879 28 7 assumed assume VERB cana-3879 28 8 to to PART cana-3879 28 9 be be AUX cana-3879 28 10 uniform uniform ADJ cana-3879 28 11 throughout throughout ADP cana-3879 28 12 the the DET cana-3879 28 13 cylinder cylinder NOUN cana-3879 28 14 . . PUNCT cana-3879 29 1 at at ADP cana-3879 29 2 any any DET cana-3879 29 3 instant instant NOUN cana-3879 29 4 of of ADP cana-3879 29 5 time time NOUN cana-3879 29 6 during during ADP cana-3879 29 7 combustion combustion NOUN cana-3879 29 8 , , PUNCT cana-3879 29 9 the the DET cana-3879 29 10 cylinder cylinder NOUN cana-3879 29 11 volume volume NOUN cana-3879 29 12 is be AUX cana-3879 29 13 divided divide VERB cana-3879 29 14 into into ADP cana-3879 29 15 burned burn VERB cana-3879 29 16 and and CCONJ cana-3879 29 17 unburned unburned ADJ cana-3879 29 18 zones zone NOUN cana-3879 29 19 by by ADP cana-3879 29 20 an an DET cana-3879 29 21 infinitesimally infinitesimally ADV cana-3879 29 22 thin thin ADJ cana-3879 29 23 flame flame NOUN cana-3879 29 24 - - PUNCT cana-3879 29 25 front front NOUN cana-3879 29 26 with with ADP cana-3879 29 27 a a DET cana-3879 29 28 spherical spherical ADJ cana-3879 29 29 shape shape NOUN cana-3879 29 30 . . PUNCT cana-3879 30 1 there there PRON cana-3879 30 2 is be VERB cana-3879 30 3 no no DET cana-3879 30 4 heat heat NOUN cana-3879 30 5 transfer transfer NOUN cana-3879 30 6 between between ADP cana-3879 30 7 burned burn VERB cana-3879 30 8 and and CCONJ cana-3879 30 9 unburned unburned ADJ cana-3879 30 10 zones zone NOUN cana-3879 30 11 . . PUNCT cana-3879 31 1 the the DET cana-3879 31 2 burned burn VERB cana-3879 31 3 gases gas NOUN cana-3879 31 4 are be AUX cana-3879 31 5 assumed assume VERB cana-3879 31 6 to to PART cana-3879 31 7 be be AUX cana-3879 31 8 in in ADP cana-3879 31 9 chemical chemical ADJ cana-3879 31 10 equilibrium equilibrium NOUN cana-3879 31 11 during during ADP cana-3879 31 12 combustion combustion NOUN cana-3879 31 13 and and CCONJ cana-3879 31 14 for for ADP cana-3879 31 15 the the DET cana-3879 31 16 main main ADJ cana-3879 31 17 expansion expansion NOUN cana-3879 31 18 stroke stroke NOUN cana-3879 31 19 while while SCONJ cana-3879 31 20 the the DET cana-3879 31 21 end end NOUN cana-3879 31 22 of of ADP cana-3879 31 23 expansion expansion NOUN cana-3879 31 24 stroke stroke NOUN cana-3879 31 25 the the DET cana-3879 31 26 mixture mixture NOUN cana-3879 31 27 is be AUX cana-3879 31 28 assumed assume VERB cana-3879 31 29 to to PART cana-3879 31 30 be be AUX cana-3879 31 31 frozen freeze VERB cana-3879 31 32 . . PUNCT cana-3879 32 1 the the DET cana-3879 32 2 zero zero NUM cana-3879 32 3 - - PUNCT cana-3879 32 4 dimensional dimensional ADJ cana-3879 32 5 model model NOUN cana-3879 32 6 includes include VERB cana-3879 32 7 the the DET cana-3879 32 8 formulation formulation NOUN cana-3879 32 9 of of ADP cana-3879 32 10 mass mass NOUN cana-3879 32 11 and and CCONJ cana-3879 32 12 energy energy NOUN cana-3879 32 13 balance balance NOUN cana-3879 32 14 . . PUNCT cana-3879 33 1 ii ii PROPN cana-3879 33 2 . . PUNCT cana-3879 34 1 thermodynamic thermodynamic ADJ cana-3879 34 2 model model NOUN cana-3879 34 3 in in ADP cana-3879 34 4 the the DET cana-3879 34 5 present present ADJ cana-3879 34 6 model model NOUN cana-3879 34 7 , , PUNCT cana-3879 34 8 a a DET cana-3879 34 9 zero zero NUM cana-3879 34 10 - - PUNCT cana-3879 34 11 dimensional dimensional ADJ cana-3879 34 12 combustion combustion NOUN cana-3879 34 13 model model NOUN cana-3879 34 14 is be AUX cana-3879 34 15 employed employ VERB cana-3879 34 16 . . PUNCT cana-3879 35 1 the the DET cana-3879 35 2 combustion combustion NOUN cana-3879 35 3 chamber chamber NOUN cana-3879 35 4 is be AUX cana-3879 35 5 divided divide VERB cana-3879 35 6 into into ADP cana-3879 35 7 two two NUM cana-3879 35 8 zones zone NOUN cana-3879 35 9 consisting consist VERB cana-3879 35 10 of of ADP cana-3879 35 11 unburned unburned ADJ cana-3879 35 12 gas gas NOUN cana-3879 35 13 ( ( PUNCT cana-3879 35 14 mixture mixture NOUN cana-3879 35 15 of of ADP cana-3879 35 16 fuel fuel NOUN cana-3879 35 17 , , PUNCT cana-3879 35 18 air air NOUN cana-3879 35 19 and and CCONJ cana-3879 35 20 residuals residual NOUN cana-3879 35 21 ) ) PUNCT cana-3879 35 22 are be AUX cana-3879 35 23 burned burn VERB cana-3879 35 24 gas gas NOUN cana-3879 35 25 ( ( PUNCT cana-3879 35 26 mixture mixture NOUN cana-3879 35 27 of of ADP cana-3879 35 28 14 14 NUM cana-3879 35 29 product product NOUN cana-3879 35 30 species specie NOUN cana-3879 35 31 ) ) PUNCT cana-3879 35 32 , , PUNCT cana-3879 35 33 each each PRON cana-3879 35 34 under under ADP cana-3879 35 35 uniform uniform ADJ cana-3879 35 36 composition composition NOUN cana-3879 35 37 . . PUNCT cana-3879 36 1 this this DET cana-3879 36 2 model model NOUN cana-3879 36 3 assumes assume VERB cana-3879 36 4 that that SCONJ cana-3879 36 5 at at ADP cana-3879 36 6 any any DET cana-3879 36 7 instant instant NOUN cana-3879 36 8 of of ADP cana-3879 36 9 time time NOUN cana-3879 36 10 during during ADP cana-3879 36 11 the the DET cana-3879 36 12 combustion combustion NOUN cana-3879 36 13 , , PUNCT cana-3879 36 14 the the DET cana-3879 36 15 cylinder cylinder NOUN cana-3879 36 16 volume volume NOUN cana-3879 36 17 is be AUX cana-3879 36 18 divided divide VERB cana-3879 36 19 into into ADP cana-3879 36 20 burned burn VERB cana-3879 36 21 and and CCONJ cana-3879 36 22 unburned unburned ADJ cana-3879 36 23 zones zone NOUN cana-3879 36 24 byu byu VERB cana-3879 36 25 an an DET cana-3879 36 26 infinitesimally infinitesimally ADV cana-3879 36 27 thin thin ADJ cana-3879 36 28 flame flame NOUN cana-3879 36 29 - - PUNCT cana-3879 36 30 front front NOUN cana-3879 36 31 with with ADP cana-3879 36 32 a a DET cana-3879 36 33 spherical spherical ADJ cana-3879 36 34 shape shape NOUN cana-3879 36 35 . . PUNCT cana-3879 37 1 the the DET cana-3879 37 2 burned burn VERB cana-3879 37 3 gases gas NOUN cana-3879 37 4 are be AUX cana-3879 37 5 assumed assume VERB cana-3879 37 6 to to PART cana-3879 37 7 be be AUX cana-3879 37 8 in in ADP cana-3879 37 9 chemical chemical ADJ cana-3879 37 10 equilibrium equilibrium NOUN cana-3879 37 11 during during ADP cana-3879 37 12 combustion combustion NOUN cana-3879 37 13 and and CCONJ cana-3879 37 14 form form VERB cana-3879 37 15 the the DET cana-3879 37 16 main main ADJ cana-3879 37 17 expansion expansion NOUN cana-3879 37 18 stroke stroke NOUN cana-3879 37 19 , , PUNCT cana-3879 37 20 while while SCONJ cana-3879 37 21 near near ADP cana-3879 37 22 the the DET cana-3879 37 23 end end NOUN cana-3879 37 24 of of ADP cana-3879 37 25 expansion expansion NOUN cana-3879 37 26 stroke stroke NOUN cana-3879 37 27 the the DET cana-3879 37 28 mixture mixture NOUN cana-3879 37 29 is be AUX cana-3879 37 30 assumed assume VERB cana-3879 37 31 frozen frozen ADJ cana-3879 37 32 [ [ X cana-3879 37 33 7 7 NUM cana-3879 37 34 ] ] PUNCT cana-3879 37 35 , , PUNCT cana-3879 37 36 [ [ X cana-3879 37 37 10 10 NUM cana-3879 37 38 ] ] PUNCT cana-3879 37 39 , , PUNCT cana-3879 37 40 [ [ X cana-3879 37 41 8 8 NUM cana-3879 37 42 ] ] PUNCT cana-3879 37 43 . . PUNCT cana-3879 38 1 a a DET cana-3879 38 2 wiebe wiebe PROPN cana-3879 38 3 function function NOUN cana-3879 38 4 specifies specify VERB cana-3879 38 5 the the DET cana-3879 38 6 fule fule NOUN cana-3879 38 7 burn burn NOUN cana-3879 38 8 rate rate NOUN cana-3879 38 9 and and CCONJ cana-3879 38 10 controls control VERB cana-3879 38 11 the the DET cana-3879 38 12 rate rate NOUN cana-3879 38 13 at at ADP cana-3879 38 14 which which PRON cana-3879 38 15 mixtures mixture NOUN cana-3879 38 16 from from ADP cana-3879 38 17 the the DET cana-3879 38 18 unburned unburned ADJ cana-3879 38 19 zone zone NOUN cana-3879 38 20 is be AUX cana-3879 38 21 converted convert VERB cana-3879 38 22 to to ADP cana-3879 38 23 the the DET cana-3879 38 24 burned burn VERB cana-3879 38 25 zone zone NOUN cana-3879 38 26 [ [ X cana-3879 38 27 10 10 NUM cana-3879 38 28 ] ] PUNCT cana-3879 38 29 . . PUNCT cana-3879 39 1 mass mass PROPN cana-3879 39 2 and and CCONJ cana-3879 39 3 energy energy NOUN cana-3879 39 4 conservation conservation NOUN cana-3879 39 5 relations relation NOUN cana-3879 39 6 and and CCONJ cana-3879 39 7 equations equation NOUN cana-3879 39 8 of of ADP cana-3879 39 9 state state NOUN cana-3879 39 10 from from ADP cana-3879 39 11 the the DET cana-3879 39 12 principle principle ADJ cana-3879 39 13 governing govern VERB cana-3879 39 14 equations equation NOUN cana-3879 39 15 . . PUNCT cana-3879 40 1 also also ADV cana-3879 40 2 considering consider VERB cana-3879 40 3 crank crank NOUN cana-3879 40 4 angle angle NOUN cana-3879 40 5 as as ADP cana-3879 40 6 the the DET cana-3879 40 7 independent independent ADJ cana-3879 40 8 variable variable NOUN cana-3879 40 9 , , PUNCT cana-3879 40 10 we we PRON cana-3879 40 11 thus thus ADV cana-3879 40 12 form form VERB cana-3879 40 13 the the DET cana-3879 40 14 base base NOUN cana-3879 40 15 of of ADP cana-3879 40 16 our our PRON cana-3879 40 17 thermodynamic thermodynamic ADJ cana-3879 40 18 model model NOUN cana-3879 40 19 . . PUNCT cana-3879 41 1 communications communication NOUN cana-3879 41 2 on on ADP cana-3879 41 3 applied apply VERB cana-3879 41 4 nonlinear nonlinear ADJ cana-3879 41 5 analysis analysis NOUN cana-3879 41 6 issn issn NOUN cana-3879 41 7 : : PUNCT cana-3879 41 8 1074 1074 NUM cana-3879 41 9 - - PUNCT cana-3879 41 10 133x 133x NUM cana-3879 41 11 vol vol NOUN cana-3879 41 12 32 32 NUM cana-3879 41 13 no no NOUN cana-3879 41 14 . . PUNCT cana-3879 42 1 9s 9s NUM cana-3879 42 2 ( ( PUNCT cana-3879 42 3 2025 2025 NUM cana-3879 42 4 ) ) PUNCT cana-3879 42 5 315 315 NUM cana-3879 42 6 https://internationalpubls.com https://internationalpubls.com NUM cana-3879 42 7 a. a. NOUN cana-3879 42 8 mass mass NOUN cana-3879 42 9 and and CCONJ cana-3879 42 10 energy energy NOUN cana-3879 42 11 balance balance NOUN cana-3879 42 12 the the DET cana-3879 42 13 equation equation NOUN cana-3879 42 14 of of ADP cana-3879 42 15 state state NOUN cana-3879 42 16 for for ADP cana-3879 42 17 an an DET cana-3879 42 18 ideal ideal ADJ cana-3879 42 19 gas gas NOUN cana-3879 42 20 is be AUX cana-3879 42 21 𝑃𝑉 𝑃𝑉 PROPN cana-3879 42 22 = = SYM cana-3879 42 23 π‘šπ‘…π‘‡ π‘šπ‘…π‘‡ PROPN cana-3879 42 24 ( ( PUNCT cana-3879 42 25 1 1 X cana-3879 42 26 ) ) PUNCT cana-3879 42 27 the the DET cana-3879 42 28 rate rate NOUN cana-3879 42 29 of of ADP cana-3879 42 30 change change NOUN cana-3879 42 31 of of ADP cana-3879 42 32 mass mass NOUN cana-3879 42 33 within within ADP cana-3879 42 34 any any DET cana-3879 42 35 open open ADJ cana-3879 42 36 system system NOUN cana-3879 42 37 is be AUX cana-3879 42 38 the the DET cana-3879 42 39 net net ADJ cana-3879 42 40 flux flux NOUN cana-3879 42 41 of of ADP cana-3879 42 42 mass mass NOUN cana-3879 42 43 across across ADP cana-3879 42 44 the the DET cana-3879 42 45 system system NOUN cana-3879 42 46 boundaries boundary NOUN cana-3879 42 47 . . PUNCT cana-3879 43 1 hence hence ADV cana-3879 43 2 for for ADP cana-3879 43 3 a a DET cana-3879 43 4 control control NOUN cana-3879 43 5 volume volume NOUN cana-3879 43 6 enclosing enclose VERB cana-3879 43 7 the the DET cana-3879 43 8 air air NOUN cana-3879 43 9 - - PUNCT cana-3879 43 10 fuel fuel NOUN cana-3879 43 11 mixture mixture NOUN cana-3879 43 12 , , PUNCT cana-3879 43 13 we we PRON cana-3879 43 14 have have VERB cana-3879 43 15 π‘š π‘š NOUN cana-3879 43 16 = = SYM cana-3879 43 17 βˆ‘π‘šπ‘˜Μ‡ βˆ‘π‘šπ‘˜Μ‡ PROPN cana-3879 43 18 π‘˜ π‘˜ X cana-3879 43 19 Μ‡ Μ‡ NOUN cana-3879 43 20 ( ( PUNCT cana-3879 43 21 2 2 NUM cana-3879 43 22 ) ) PUNCT cana-3879 43 23 the the DET cana-3879 43 24 first first ADJ cana-3879 43 25 law law NOUN cana-3879 43 26 of of ADP cana-3879 43 27 thermodynamics thermodynamic NOUN cana-3879 43 28 to to ADP cana-3879 43 29 an an DET cana-3879 43 30 open open ADJ cana-3879 43 31 system system NOUN cana-3879 43 32 yields yield VERB cana-3879 43 33 the the DET cana-3879 43 34 energy energy NOUN cana-3879 43 35 equation equation NOUN cana-3879 43 36 as as ADP cana-3879 43 37 οΏ½ οΏ½ PROPN cana-3879 43 38 Μ‡ Μ‡ PROPN cana-3879 43 39 οΏ½ οΏ½ PROPN cana-3879 43 40 = = SYM cana-3879 43 41 οΏ½ οΏ½ PROPN cana-3879 43 42 Μ‡ Μ‡ NOUN cana-3879 43 43 οΏ½ οΏ½ PROPN cana-3879 43 44 βˆ’ βˆ’ PROPN cana-3879 43 45 π‘Š π‘Š PROPN cana-3879 43 46 + + NOUN cana-3879 43 47 βˆ‘π‘šπ‘˜Μ‡ βˆ‘π‘šπ‘˜Μ‡ NOUN cana-3879 43 48 π‘˜ π‘˜ PRON cana-3879 43 49 β„Žπ‘˜ β„Žπ‘˜ PROPN cana-3879 43 50 ( ( PUNCT cana-3879 43 51 3 3 X cana-3879 43 52 ) ) PUNCT cana-3879 43 53 equations equation NOUN cana-3879 43 54 ( ( PUNCT cana-3879 43 55 2 2 NUM cana-3879 43 56 ) ) PUNCT cana-3879 43 57 and and CCONJ cana-3879 43 58 ( ( PUNCT cana-3879 43 59 3 3 X cana-3879 43 60 ) ) PUNCT cana-3879 43 61 can can AUX cana-3879 43 62 be be AUX cana-3879 43 63 written write VERB cana-3879 43 64 as as ADP cana-3879 43 65 π‘‘π‘š π‘‘π‘š NOUN cana-3879 43 66 π‘‘πœƒ π‘‘πœƒ ADV cana-3879 43 67 = = PUNCT cana-3879 43 68 βˆ‘ βˆ‘ PUNCT cana-3879 43 69 π‘‘π‘šπ‘˜ π‘‘π‘šπ‘˜ PROPN cana-3879 43 70 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 43 71 π‘˜ π‘˜ X cana-3879 43 72 ( ( PUNCT cana-3879 43 73 4 4 NUM cana-3879 43 74 ) ) PUNCT cana-3879 43 75 𝑑(π‘šπ‘’ 𝑑(π‘šπ‘’ NOUN cana-3879 43 76 ) ) PUNCT cana-3879 43 77 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 43 78 = = SYM cana-3879 43 79 𝑑𝑄 𝑑𝑄 PROPN cana-3879 43 80 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 43 81 βˆ’ βˆ’ PROPN cana-3879 43 82 𝑝 𝑝 NOUN cana-3879 43 83 𝑑𝑉 𝑑𝑉 ADP cana-3879 43 84 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 43 85 + + CCONJ cana-3879 43 86 βˆ‘β„Žπ‘˜ βˆ‘β„Žπ‘˜ VERB cana-3879 44 1 π‘‘π‘šπ‘˜Μ‡ π‘‘π‘šπ‘˜Μ‡ NOUN cana-3879 44 2 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 44 3 π‘˜ π‘˜ X cana-3879 44 4 ( ( PUNCT cana-3879 44 5 5 5 NUM cana-3879 44 6 ) ) PUNCT cana-3879 44 7 equation equation NOUN cana-3879 44 8 ( ( PUNCT cana-3879 44 9 5 5 NUM cana-3879 44 10 ) ) PUNCT cana-3879 44 11 neglects neglect VERB cana-3879 44 12 changes change NOUN cana-3879 44 13 of of ADP cana-3879 44 14 kinetic kinetic ADJ cana-3879 44 15 and and CCONJ cana-3879 44 16 potential potential ADJ cana-3879 44 17 energy energy NOUN cana-3879 44 18 in in ADP cana-3879 44 19 the the DET cana-3879 44 20 control control NOUN cana-3879 44 21 volume volume NOUN cana-3879 44 22 . . PUNCT cana-3879 45 1 b. b. PROPN cana-3879 45 2 air air PROPN cana-3879 45 3 and and CCONJ cana-3879 45 4 combustion combustion NOUN cana-3879 45 5 products product NOUN cana-3879 45 6 data datum NOUN cana-3879 45 7 gordon gordon PROPN cana-3879 45 8 and and CCONJ cana-3879 45 9 mcbride mcbride NOUN cana-3879 46 1 [ [ X cana-3879 46 2 8 8 NUM cana-3879 46 3 ] ] PUNCT cana-3879 46 4 , , PUNCT cana-3879 46 5 proposed propose VERB cana-3879 46 6 the the DET cana-3879 46 7 following follow VERB cana-3879 46 8 expressions expression NOUN cana-3879 46 9 that that PRON cana-3879 46 10 wee wee AUX cana-3879 46 11 curve curve NOUN cana-3879 46 12 - - PUNCT cana-3879 46 13 fitted fit VERB cana-3879 46 14 to to ADP cana-3879 46 15 the the DET cana-3879 46 16 tabulated tabulate VERB cana-3879 46 17 janaf janaf PROPN cana-3879 46 18 thermchemical thermchemical ADJ cana-3879 46 19 tables table NOUN cana-3879 46 20 [ [ X cana-3879 46 21 11 11 NUM cana-3879 46 22 ] ] PUNCT cana-3879 46 23 . . PUNCT cana-3879 47 1 𝐢𝑝 𝐢𝑝 PROPN cana-3879 47 2 𝑅 𝑅 PROPN cana-3879 47 3 = = PUNCT cana-3879 47 4 π‘Ž1 π‘Ž1 PROPN cana-3879 47 5 + + CCONJ cana-3879 47 6 π‘Ž2𝑇 π‘Ž2𝑇 NOUN cana-3879 48 1 + + CCONJ cana-3879 48 2 π‘Ž3𝑇 π‘Ž3𝑇 ADJ cana-3879 48 3 2 2 NUM cana-3879 48 4 + + CCONJ cana-3879 48 5 π‘Ž4𝑇 π‘Ž4𝑇 X cana-3879 48 6 3 3 NUM cana-3879 48 7 + + CCONJ cana-3879 48 8 π‘Ž5𝑇 π‘Ž5𝑇 VERB cana-3879 48 9 4 4 NUM cana-3879 48 10 ( ( PUNCT cana-3879 48 11 6 6 NUM cana-3879 48 12 ) ) PUNCT cana-3879 48 13 β„Ž β„Ž X cana-3879 48 14 𝑅𝑇 𝑅𝑇 NOUN cana-3879 48 15 = = PUNCT cana-3879 48 16 π‘Ž1 π‘Ž1 PROPN cana-3879 49 1 + + CCONJ cana-3879 49 2 π‘Ž2 π‘Ž2 NOUN cana-3879 49 3 2 2 NUM cana-3879 49 4 𝑇 𝑇 PROPN cana-3879 49 5 + + CCONJ cana-3879 49 6 π‘Ž3 π‘Ž3 PROPN cana-3879 49 7 3 3 NUM cana-3879 49 8 𝑇2 𝑇2 NOUN cana-3879 49 9 + + CCONJ cana-3879 49 10 π‘Ž4 π‘Ž4 PROPN cana-3879 49 11 4 4 NUM cana-3879 49 12 𝑇3 𝑇3 PROPN cana-3879 49 13 + + CCONJ cana-3879 49 14 π‘Ž5 π‘Ž5 PROPN cana-3879 49 15 5 5 NUM cana-3879 49 16 𝑇4 𝑇4 NOUN cana-3879 49 17 + + CCONJ cana-3879 49 18 π‘Ž6 π‘Ž6 NOUN cana-3879 49 19 𝑇 𝑇 PROPN cana-3879 49 20 ( ( PUNCT cana-3879 49 21 7 7 NUM cana-3879 49 22 ) ) PUNCT cana-3879 49 23 𝑆 𝑆 PROPN cana-3879 49 24 𝑅 𝑅 PROPN cana-3879 49 25 = = PUNCT cana-3879 49 26 π‘Ž1𝐼𝑛𝑇 π‘Ž1𝐼𝑛𝑇 NOUN cana-3879 49 27 + + NUM cana-3879 49 28 π‘Ž2𝑇 π‘Ž2𝑇 NOUN cana-3879 49 29 + + CCONJ cana-3879 49 30 π‘Ž3 π‘Ž3 PROPN cana-3879 49 31 2 2 NUM cana-3879 49 32 𝑇2 𝑇2 NOUN cana-3879 49 33 + + CCONJ cana-3879 49 34 π‘Ž4 π‘Ž4 PROPN cana-3879 49 35 3 3 NUM cana-3879 49 36 𝑇3 𝑇3 PROPN cana-3879 49 37 + + CCONJ cana-3879 49 38 π‘Ž5 π‘Ž5 PROPN cana-3879 49 39 4 4 NUM cana-3879 49 40 𝑇4 𝑇4 NOUN cana-3879 49 41 + + CCONJ cana-3879 49 42 π‘Ž7 π‘Ž7 NOUN cana-3879 49 43 ( ( PUNCT cana-3879 49 44 8) 8) NUM cana-3879 49 45 where where SCONJ cana-3879 49 46 𝑐𝑝 𝑐𝑝 ADV cana-3879 49 47 is be AUX cana-3879 49 48 the the DET cana-3879 49 49 specific specific ADJ cana-3879 49 50 heat heat NOUN cana-3879 49 51 at at ADP cana-3879 49 52 constant constant ADJ cana-3879 49 53 pressure pressure NOUN cana-3879 49 54 , , PUNCT cana-3879 49 55 h h NOUN cana-3879 49 56 is be AUX cana-3879 49 57 the the DET cana-3879 49 58 specific specific ADJ cana-3879 49 59 enthalpy enthalpy NOUN cana-3879 49 60 and and CCONJ cana-3879 49 61 s s NOUN cana-3879 49 62 is be AUX cana-3879 49 63 the the DET cana-3879 49 64 specific specific ADJ cana-3879 49 65 entropy entropy NOUN cana-3879 49 66 . . PUNCT cana-3879 50 1 the the DET cana-3879 50 2 coefficients coefficient NOUN cana-3879 50 3 π‘Ž1 π‘Ž1 INTJ cana-3879 50 4 to to ADP cana-3879 50 5 π‘Ž7 π‘Ž7 VERB cana-3879 50 6 are be AUX cana-3879 50 7 calculated calculate VERB cana-3879 50 8 over over ADP cana-3879 50 9 two two NUM cana-3879 50 10 different different ADJ cana-3879 50 11 temperature temperature NOUN cana-3879 50 12 ranges range NOUN cana-3879 50 13 : : PUNCT cana-3879 50 14 1)300 1)300 NUM cana-3879 50 15 < < X cana-3879 50 16 t<1000 t<1000 X cana-3879 50 17 k k NOUN cana-3879 50 18 ; ; PUNCT cana-3879 50 19 and and CCONJ cana-3879 50 20 2)1000 2)1000 NUM cana-3879 50 21 < < X cana-3879 50 22 t<5000 t<5000 X cana-3879 50 23 k k NOUN cana-3879 50 24 and and CCONJ cana-3879 50 25 can can AUX cana-3879 50 26 be be AUX cana-3879 50 27 sourced source VERB cana-3879 50 28 from from ADP cana-3879 50 29 [ [ X cana-3879 50 30 8 8 NUM cana-3879 50 31 ] ] PUNCT cana-3879 50 32 . . PUNCT cana-3879 51 1 the the DET cana-3879 51 2 most most ADV cana-3879 51 3 complete complete ADJ cana-3879 51 4 models model NOUN cana-3879 51 5 are be AUX cana-3879 51 6 based base VERB cana-3879 51 7 on on ADP cana-3879 51 8 the the DET cana-3879 51 9 assumption assumption NOUN cana-3879 51 10 that that SCONJ cana-3879 51 11 the the DET cana-3879 51 12 unburned unburned ADJ cana-3879 51 13 mixture mixture NOUN cana-3879 51 14 is be AUX cana-3879 51 15 frozen freeze VERB cana-3879 51 16 in in ADP cana-3879 51 17 composition composition NOUN cana-3879 51 18 and and CCONJ cana-3879 51 19 the the DET cana-3879 51 20 burned burn VERB cana-3879 51 21 mixture mixture NOUN cana-3879 51 22 is be AUX cana-3879 51 23 in in ADP cana-3879 51 24 equilibrium equilibrium NOUN cana-3879 52 1 [ [ X cana-3879 52 2 10]/. 10]/. NUM cana-3879 52 3 the the DET cana-3879 52 4 following follow VERB cana-3879 52 5 are be AUX cana-3879 52 6 species specie NOUN cana-3879 52 7 of of ADP cana-3879 52 8 interest interest NOUN cana-3879 52 9 during during ADP cana-3879 52 10 combustion combustion NOUN cana-3879 52 11 : : PUNCT cana-3879 52 12 co2 co2 NOUN cana-3879 52 13 , , PUNCT cana-3879 52 14 h2o h2o PROPN cana-3879 52 15 , , PUNCT cana-3879 52 16 n2 n2 ADJ cana-3879 52 17 , , PUNCT cana-3879 52 18 o2 o2 PROPN cana-3879 52 19 , , PUNCT cana-3879 52 20 co co NOUN cana-3879 52 21 , , PUNCT cana-3879 52 22 h2 h2 PROPN cana-3879 52 23 , , PUNCT cana-3879 52 24 h h NOUN cana-3879 52 25 , , PUNCT cana-3879 52 26 o o NOUN cana-3879 52 27 , , PUNCT cana-3879 53 1 oh oh INTJ cana-3879 54 1 and and CCONJ cana-3879 54 2 no no PRON cana-3879 55 1 [ [ NOUN cana-3879 55 2 7 7 NUM cana-3879 55 3 ] ] PUNCT cana-3879 55 4 . . PUNCT cana-3879 56 1 communications communication NOUN cana-3879 56 2 on on ADP cana-3879 56 3 applied apply VERB cana-3879 56 4 nonlinear nonlinear ADJ cana-3879 56 5 analysis analysis NOUN cana-3879 56 6 issn issn NOUN cana-3879 56 7 : : PUNCT cana-3879 56 8 1074 1074 NUM cana-3879 56 9 - - PUNCT cana-3879 56 10 133x 133x NUM cana-3879 56 11 vol vol NOUN cana-3879 56 12 32 32 NUM cana-3879 56 13 no no NOUN cana-3879 56 14 . . PUNCT cana-3879 57 1 9s 9s NUM cana-3879 57 2 ( ( PUNCT cana-3879 57 3 2025 2025 NUM cana-3879 57 4 ) ) PUNCT cana-3879 57 5 316 316 NUM cana-3879 57 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 57 7 c. c. PROPN cana-3879 57 8 fuel fuel PROPN cana-3879 57 9 data datum NOUN cana-3879 57 10 heywood heywood PROPN cana-3879 58 1 [ [ X cana-3879 58 2 10 10 NUM cana-3879 58 3 ] ] PUNCT cana-3879 58 4 has have AUX cana-3879 58 5 represented represent VERB cana-3879 58 6 the the DET cana-3879 58 7 thermodynamic thermodynamic ADJ cana-3879 58 8 properties property NOUN cana-3879 58 9 of of ADP cana-3879 58 10 fuels fuel NOUN cana-3879 58 11 ( ( PUNCT cana-3879 58 12 in in ADP cana-3879 58 13 vapor vapor NOUN cana-3879 58 14 phase phase NOUN cana-3879 58 15 ) ) PUNCT cana-3879 58 16 using use VERB cana-3879 58 17 curves curve NOUN cana-3879 58 18 that that PRON cana-3879 58 19 slightly slightly ADV cana-3879 58 20 differ differ VERB cana-3879 58 21 from from ADP cana-3879 58 22 ( ( PUNCT cana-3879 58 23 6),(7),(8 6),(7),(8 NOUN cana-3879 58 24 ) ) PUNCT cana-3879 58 25 . . PUNCT cana-3879 59 1 𝐢𝑝 𝐢𝑝 PROPN cana-3879 59 2 𝑅 𝑅 PROPN cana-3879 59 3 = = PUNCT cana-3879 59 4 π‘Ž1 π‘Ž1 PROPN cana-3879 59 5 + + CCONJ cana-3879 59 6 π‘Ž2𝑇 π‘Ž2𝑇 NOUN cana-3879 59 7 + + CCONJ cana-3879 59 8 π‘Ž3𝑇 π‘Ž3𝑇 ADJ cana-3879 59 9 2 2 NUM cana-3879 59 10 + + NUM cana-3879 59 11 π‘Ž4𝑇 π‘Ž4𝑇 X cana-3879 59 12 3 3 NUM cana-3879 59 13 + + CCONJ cana-3879 59 14 π‘Ž5 π‘Ž5 PROPN cana-3879 59 15 1 1 NUM cana-3879 59 16 𝑇2 𝑇2 NOUN cana-3879 59 17 ( ( PUNCT cana-3879 59 18 9 9 NUM cana-3879 59 19 ) ) PUNCT cana-3879 59 20 β„Ž β„Ž NOUN cana-3879 59 21 𝑅𝑇 𝑅𝑇 NOUN cana-3879 59 22 = = PUNCT cana-3879 59 23 π‘Ž1 π‘Ž1 PROPN cana-3879 60 1 + + CCONJ cana-3879 60 2 π‘Ž2 π‘Ž2 NOUN cana-3879 60 3 2 2 NUM cana-3879 60 4 𝑇 𝑇 PROPN cana-3879 60 5 + + CCONJ cana-3879 60 6 π‘Ž3 π‘Ž3 PROPN cana-3879 60 7 3 3 NUM cana-3879 60 8 𝑇2 𝑇2 NOUN cana-3879 60 9 + + CCONJ cana-3879 60 10 π‘Ž4 π‘Ž4 PROPN cana-3879 60 11 4 4 NUM cana-3879 60 12 𝑇3 𝑇3 PROPN cana-3879 60 13 βˆ’ βˆ’ PROPN cana-3879 60 14 π‘Ž5 π‘Ž5 PROPN cana-3879 60 15 1 1 NUM cana-3879 60 16 𝑇2 𝑇2 NOUN cana-3879 60 17 + + CCONJ cana-3879 60 18 π‘Ž6 π‘Ž6 NOUN cana-3879 60 19 𝑇 𝑇 PROPN cana-3879 60 20 ( ( PUNCT cana-3879 60 21 10 10 NUM cana-3879 60 22 ) ) PUNCT cana-3879 60 23 𝑆 𝑆 PROPN cana-3879 60 24 𝑅 𝑅 PROPN cana-3879 60 25 = = PUNCT cana-3879 60 26 π‘Ž1𝐼𝑛𝑇 π‘Ž1𝐼𝑛𝑇 NOUN cana-3879 60 27 + + NUM cana-3879 60 28 π‘Ž2𝑇 π‘Ž2𝑇 NOUN cana-3879 60 29 + + CCONJ cana-3879 60 30 π‘Ž3 π‘Ž3 PROPN cana-3879 60 31 2 2 NUM cana-3879 60 32 𝑇2 𝑇2 NOUN cana-3879 60 33 + + CCONJ cana-3879 60 34 π‘Ž4 π‘Ž4 PROPN cana-3879 60 35 3 3 NUM cana-3879 60 36 𝑇3 𝑇3 PROPN cana-3879 60 37 βˆ’ βˆ’ PROPN cana-3879 60 38 π‘Ž5 π‘Ž5 PROPN cana-3879 60 39 2 2 NUM cana-3879 60 40 1 1 NUM cana-3879 60 41 𝑇2 𝑇2 NOUN cana-3879 60 42 + + CCONJ cana-3879 60 43 π‘Ž7 π‘Ž7 NOUN cana-3879 60 44 ( ( PUNCT cana-3879 60 45 11 11 NUM cana-3879 60 46 ) ) PUNCT cana-3879 60 47 data datum NOUN cana-3879 60 48 for for ADP cana-3879 60 49 calculating calculate VERB cana-3879 60 50 the the DET cana-3879 60 51 coefficients coefficient NOUN cana-3879 60 52 can can AUX cana-3879 60 53 be be AUX cana-3879 60 54 obtained obtain VERB cana-3879 60 55 from from ADP cana-3879 60 56 [ [ X cana-3879 60 57 11 11 NUM cana-3879 60 58 ] ] PUNCT cana-3879 60 59 , , PUNCT cana-3879 60 60 [ [ X cana-3879 60 61 5 5 NUM cana-3879 60 62 ] ] PUNCT cana-3879 60 63 or or CCONJ cana-3879 60 64 [ [ X cana-3879 60 65 8 8 NUM cana-3879 60 66 ] ] PUNCT cana-3879 60 67 . . PUNCT cana-3879 61 1 reference reference NOUN cana-3879 62 1 [ [ X cana-3879 62 2 9 9 NUM cana-3879 62 3 ] ] PUNCT cana-3879 62 4 , , PUNCT cana-3879 62 5 has have AUX cana-3879 62 6 discussed discuss VERB cana-3879 62 7 about about ADP cana-3879 62 8 the the DET cana-3879 62 9 methods method NOUN cana-3879 62 10 for for ADP cana-3879 62 11 calculating calculate VERB cana-3879 62 12 the the DET cana-3879 62 13 thermodynamic thermodynamic ADJ cana-3879 62 14 properties property NOUN cana-3879 62 15 of of ADP cana-3879 62 16 user user NOUN cana-3879 62 17 - - PUNCT cana-3879 62 18 defined define VERB cana-3879 62 19 fuels fuel NOUN cana-3879 62 20 . . PUNCT cana-3879 63 1 the the DET cana-3879 63 2 following follow VERB cana-3879 63 3 relation relation NOUN cana-3879 63 4 is be AUX cana-3879 63 5 proposed propose VERB cana-3879 63 6 for for ADP cana-3879 63 7 deriving derive VERB cana-3879 63 8 the the DET cana-3879 63 9 properties property NOUN cana-3879 63 10 like like ADP cana-3879 63 11 specific specific ADJ cana-3879 63 12 heats heat NOUN cana-3879 63 13 and and CCONJ cana-3879 63 14 enthalpies enthalpy NOUN cana-3879 63 15 for for ADP cana-3879 63 16 various various ADJ cana-3879 63 17 species specie NOUN cana-3879 63 18 , , PUNCT cana-3879 63 19 with with ADP cana-3879 63 20 πœ‰ πœ‰ NOUN cana-3879 63 21 referring refer VERB cana-3879 63 22 to to ADP cana-3879 63 23 the the DET cana-3879 63 24 property property NOUN cana-3879 63 25 and and CCONJ cana-3879 63 26 x x NOUN cana-3879 63 27 is be AUX cana-3879 63 28 the the DET cana-3879 63 29 burnt burn VERB cana-3879 63 30 mass mass NOUN cana-3879 63 31 fraction fraction NOUN cana-3879 63 32 . . PUNCT cana-3879 64 1 πœ‰π‘šπ‘–π‘₯π‘‘π‘’π‘Ÿπ‘’ πœ‰π‘šπ‘–π‘₯π‘‘π‘’π‘Ÿπ‘’ ADV cana-3879 64 2 = = SYM cana-3879 64 3 βˆ‘ βˆ‘ PUNCT cana-3879 64 4 π‘₯π‘˜ π‘₯π‘˜ PROPN cana-3879 64 5 𝑁 𝑁 PROPN cana-3879 64 6 π‘˜βˆ’1 π‘˜βˆ’1 PROPN cana-3879 64 7 . . PUNCT cana-3879 65 1 πœ‰π‘˜ πœ‰π‘˜ PROPN cana-3879 65 2 ( ( PUNCT cana-3879 65 3 12 12 NUM cana-3879 65 4 ) ) PUNCT cana-3879 65 5 d. d. NOUN cana-3879 65 6 equivalence equivalence NOUN cana-3879 65 7 ratio ratio NOUN cana-3879 65 8 when when SCONJ cana-3879 65 9 modeling model VERB cana-3879 65 10 with with ADP cana-3879 65 11 a a DET cana-3879 65 12 single single ADJ cana-3879 65 13 fuel fuel NOUN cana-3879 65 14 , , PUNCT cana-3879 65 15 the the DET cana-3879 65 16 equivalence equivalence NOUN cana-3879 65 17 ratio ratio NOUN cana-3879 65 18 is be AUX cana-3879 65 19 given give VERB cana-3879 65 20 by by ADP cana-3879 65 21 [ [ X cana-3879 65 22 7 7 NUM cana-3879 65 23 ] ] X cana-3879 65 24 πœ™ πœ™ NOUN cana-3879 65 25 = = SYM cana-3879 65 26 ( ( PUNCT cana-3879 65 27 [ [ X cana-3879 65 28 𝐹 𝐹 X cana-3879 65 29 ] ] X cana-3879 65 30 π΄π‘–π‘Ÿ π΄π‘–π‘Ÿ PROPN cana-3879 65 31 ) ) PUNCT cana-3879 65 32 𝐴𝑐𝑑. 𝐴𝑐𝑑. PROPN cana-3879 66 1 ( ( PUNCT cana-3879 66 2 [ [ X cana-3879 66 3 𝐹 𝐹 X cana-3879 66 4 ] ] X cana-3879 66 5 π΄π‘–π‘Ÿ π΄π‘–π‘Ÿ PROPN cana-3879 66 6 ) ) PUNCT cana-3879 66 7 𝑆𝑑. 𝑆𝑑. PROPN cana-3879 66 8 ⁄ ⁄ PROPN cana-3879 66 9 ( ( PUNCT cana-3879 66 10 13 13 NUM cana-3879 66 11 ) ) PUNCT cana-3879 66 12 where where SCONJ cana-3879 66 13 subscript subscript PROPN cana-3879 66 14 act act PROPN cana-3879 66 15 . . PUNCT cana-3879 67 1 refers refer VERB cana-3879 67 2 to to ADP cana-3879 67 3 actual actual ADJ cana-3879 67 4 and and CCONJ cana-3879 67 5 st st PROPN cana-3879 67 6 . . PROPN cana-3879 67 7 alcohol alcohol PROPN cana-3879 67 8 with with ADP cana-3879 67 9 hydrogen hydrogen NOUN cana-3879 67 10 fuel fuel NOUN cana-3879 67 11 , , PUNCT cana-3879 67 12 the the DET cana-3879 67 13 equivalence equivalence NOUN cana-3879 67 14 ratio ratio NOUN cana-3879 67 15 changes change NOUN cana-3879 67 16 to to ADP cana-3879 67 17 [ [ X cana-3879 67 18 16 16 NUM cana-3879 67 19 ] ] X cana-3879 67 20 πœ™ πœ™ NOUN cana-3879 67 21 = = SYM cana-3879 67 22 ( ( PUNCT cana-3879 67 23 [ [ X cana-3879 67 24 𝐹 𝐹 X cana-3879 67 25 ] ] X cana-3879 68 1 [ [ X cana-3879 68 2 π΄π‘–π‘Ÿ π΄π‘–π‘Ÿ X cana-3879 68 3 ] ] X cana-3879 68 4 βˆ’ βˆ’ PROPN cana-3879 68 5 [ [ X cana-3879 68 6 𝐻 𝐻 X cana-3879 68 7 ] ] X cana-3879 68 8 ( ( PUNCT cana-3879 68 9 𝐻 𝐻 PROPN cana-3879 68 10 π΄π‘–π‘Ÿβ„ π΄π‘–π‘Ÿβ„ NOUN cana-3879 68 11 ) ) PUNCT cana-3879 68 12 𝑆𝑑. 𝑆𝑑. PROPN cana-3879 68 13 ) ) PUNCT cana-3879 68 14 ( ( PUNCT cana-3879 69 1 [ [ X cana-3879 69 2 𝐹 𝐹 X cana-3879 69 3 ] ] X cana-3879 69 4 π΄π‘–π‘Ÿ π΄π‘–π‘Ÿ PROPN cana-3879 69 5 ) ) PUNCT cana-3879 69 6 𝑆𝑑. 𝑆𝑑. PROPN cana-3879 69 7 ( ( PUNCT cana-3879 69 8 14)⁄ 14)⁄ NUM cana-3879 69 9 e. e. PROPN cana-3879 69 10 practical practical PROPN cana-3879 69 11 chemical chemical PROPN cana-3879 69 12 equilibrium equilibrium NOUN cana-3879 69 13 under under ADP cana-3879 69 14 the the DET cana-3879 69 15 assumption assumption NOUN cana-3879 69 16 of of ADP cana-3879 69 17 atmospheric atmospheric ADJ cana-3879 69 18 air air NOUN cana-3879 69 19 composition composition NOUN cana-3879 69 20 ( ( PUNCT cana-3879 69 21 21%v 21%v NUM cana-3879 69 22 oxygen oxygen NOUN cana-3879 69 23 and and CCONJ cana-3879 69 24 79%v 79%v NUM cana-3879 69 25 nitrogen nitrogen NOUN cana-3879 69 26 ) ) PUNCT cana-3879 69 27 , , PUNCT cana-3879 69 28 and and CCONJ cana-3879 69 29 provided provide VERB cana-3879 69 30 πœ™ πœ™ PROPN cana-3879 69 31 < < X cana-3879 69 32 3 3 NUM cana-3879 69 33 , , PUNCT cana-3879 69 34 the the DET cana-3879 69 35 only only ADJ cana-3879 69 36 species specie NOUN cana-3879 69 37 that that PRON cana-3879 69 38 are be AUX cana-3879 69 39 important important ADJ cana-3879 69 40 because because SCONJ cana-3879 69 41 of of ADP cana-3879 69 42 dissociation dissociation NOUN cana-3879 69 43 are be AUX cana-3879 69 44 o o NOUN cana-3879 69 45 , , PUNCT cana-3879 69 46 h h NOUN cana-3879 69 47 , , PUNCT cana-3879 69 48 oh oh INTJ cana-3879 69 49 , , PUNCT cana-3879 69 50 and and CCONJ cana-3879 69 51 no no PRON cana-3879 70 1 [ [ X cana-3879 70 2 7 7 NUM cana-3879 70 3 ] ] PUNCT cana-3879 70 4 . . PUNCT cana-3879 71 1 the the DET cana-3879 71 2 combustion combustion NOUN cana-3879 71 3 reaction reaction NOUN cana-3879 71 4 thus thus ADV cana-3879 71 5 becomes become VERB cana-3879 71 6 communications communication NOUN cana-3879 71 7 on on ADP cana-3879 71 8 applied apply VERB cana-3879 71 9 nonlinear nonlinear ADJ cana-3879 71 10 analysis analysis NOUN cana-3879 71 11 issn issn NOUN cana-3879 71 12 : : PUNCT cana-3879 71 13 1074 1074 NUM cana-3879 71 14 - - PUNCT cana-3879 71 15 133x 133x NUM cana-3879 71 16 vol vol NOUN cana-3879 71 17 32 32 NUM cana-3879 71 18 no no NOUN cana-3879 71 19 . . PUNCT cana-3879 72 1 9s 9s NUM cana-3879 72 2 ( ( PUNCT cana-3879 72 3 2025 2025 NUM cana-3879 72 4 ) ) PUNCT cana-3879 72 5 317 317 NUM cana-3879 72 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 72 7 νœ€βˆ…πΆπ‘Žπ»π›½π‘‚π›Ύπ‘π›Ώ νœ€βˆ…πΆπ‘Žπ»π›½π‘‚π›Ύπ‘π›Ώ PROPN cana-3879 73 1 + + NUM cana-3879 73 2 0.21𝑂2 0.21𝑂2 NOUN cana-3879 74 1 + + NOUN cana-3879 74 2 0.79𝑁2 0.79𝑁2 NOUN cana-3879 74 3 β†’ β†’ PUNCT cana-3879 74 4 π‘₯1𝐢𝑂2 π‘₯1𝐢𝑂2 NUM cana-3879 74 5 + + CCONJ cana-3879 74 6 𝑋2𝐻2𝑂 𝑋2𝐻2𝑂 ADV cana-3879 74 7 + + CCONJ cana-3879 74 8 𝑋3𝑁2 𝑋3𝑁2 PROPN cana-3879 74 9 + + CCONJ cana-3879 74 10 𝑋4𝑂2 𝑋4𝑂2 PROPN cana-3879 74 11 + + CCONJ cana-3879 74 12 𝑋5𝐢𝑂 𝑋5𝐢𝑂 PROPN cana-3879 74 13 + + CCONJ cana-3879 74 14 𝑋6𝐻2 𝑋6𝐻2 PROPN cana-3879 74 15 + + CCONJ cana-3879 74 16 𝑋7𝐻 𝑋7𝐻 PROPN cana-3879 75 1 + + CCONJ cana-3879 75 2 𝑋8𝑂 𝑋8𝑂 PROPN cana-3879 75 3 + + PROPN cana-3879 75 4 𝑋9𝑂𝐻 𝑋9𝑂𝐻 PROPN cana-3879 75 5 + + NUM cana-3879 75 6 𝑋10𝑁𝑂 𝑋10𝑁𝑂 PROPN cana-3879 75 7 ( ( PUNCT cana-3879 75 8 15 15 NUM cana-3879 75 9 ) ) PUNCT cana-3879 75 10 where where SCONJ cana-3879 75 11 x1 x1 PROPN cana-3879 75 12 to to PART cana-3879 75 13 x10 x10 PRON cana-3879 75 14 represent represent VERB cana-3879 75 15 mole mole ADJ cana-3879 75 16 fractions fraction NOUN cana-3879 75 17 of of ADP cana-3879 75 18 the the DET cana-3879 75 19 products product NOUN cana-3879 75 20 . . PUNCT cana-3879 76 1 olikara olikara NOUN cana-3879 76 2 and and CCONJ cana-3879 76 3 borman borman NOUN cana-3879 77 1 [ [ X cana-3879 77 2 14 14 NUM cana-3879 77 3 ] ] PUNCT cana-3879 77 4 included include VERB cana-3879 77 5 two two NUM cana-3879 77 6 additional additional ADJ cana-3879 77 7 mole mole NOUN cana-3879 77 8 fractions fraction NOUN cana-3879 77 9 in in ADP cana-3879 77 10 the the DET cana-3879 77 11 products product NOUN cana-3879 77 12 : : PUNCT cana-3879 77 13 n n PROPN cana-3879 77 14 and and CCONJ cana-3879 77 15 ar ar PROPN cana-3879 77 16 . . PROPN cana-3879 78 1 they they PRON cana-3879 78 2 also also ADV cana-3879 78 3 made make VERB cana-3879 78 4 provision provision NOUN cana-3879 78 5 to to PART cana-3879 78 6 include include VERB cana-3879 78 7 user user NOUN cana-3879 78 8 specified specify VERB cana-3879 78 9 quality quality NOUN cana-3879 78 10 of of ADP cana-3879 78 11 air air NOUN cana-3879 78 12 . . PUNCT cana-3879 79 1 depcik depcik NOUN cana-3879 80 1 [ [ X cana-3879 80 2 6 6 NUM cana-3879 80 3 ] ] PUNCT cana-3879 80 4 modified modify VERB cana-3879 80 5 the the DET cana-3879 80 6 olikara olikara NOUN cana-3879 80 7 and and CCONJ cana-3879 80 8 borman borman NOUN cana-3879 80 9 [ [ X cana-3879 80 10 14 14 NUM cana-3879 80 11 ] ] PUNCT cana-3879 80 12 model model NOUN cana-3879 80 13 by by ADP cana-3879 80 14 including include VERB cana-3879 80 15 the the DET cana-3879 80 16 following follow VERB cana-3879 80 17 two two NUM cana-3879 80 18 reactions reaction NOUN cana-3879 80 19 𝑂𝑁 𝑂𝑁 PROPN cana-3879 80 20 + + CCONJ cana-3879 80 21 1 1 NUM cana-3879 80 22 2 2 NUM cana-3879 80 23 𝑂2 𝑂2 NOUN cana-3879 80 24 ⟷ ⟷ PROPN cana-3879 80 25 𝑁𝑂2 𝑁𝑂2 PROPN cana-3879 80 26 ( ( PUNCT cana-3879 80 27 16 16 NUM cana-3879 80 28 ) ) PUNCT cana-3879 80 29 𝑂2 𝑂2 NOUN cana-3879 81 1 + + CCONJ cana-3879 81 2 1 1 NUM cana-3879 81 3 2 2 NUM cana-3879 81 4 𝐻2 𝐻2 NOUN cana-3879 81 5 ⟷ ⟷ VERB cana-3879 81 6 𝐻𝑂2 𝐻𝑂2 PROPN cana-3879 81 7 ( ( PUNCT cana-3879 81 8 17 17 NUM cana-3879 81 9 ) ) PUNCT cana-3879 81 10 the the DET cana-3879 81 11 combustion combustion NOUN cana-3879 81 12 reaction reaction NOUN cana-3879 81 13 now now ADV cana-3879 81 14 changes change VERB cana-3879 81 15 to to ADP cana-3879 81 16 𝑋13 𝑋13 PROPN cana-3879 81 17 [ [ PUNCT cana-3879 81 18 πΆπ‘›π»π‘šπ‘‚π‘™π‘π‘˜ πΆπ‘›π»π‘šπ‘‚π‘™π‘π‘˜ NOUN cana-3879 81 19 + + CCONJ cana-3879 81 20 𝑛 𝑛 PROPN cana-3879 81 21 + + CCONJ cana-3879 81 22 0.25π‘š 0.25π‘š PROPN cana-3879 81 23 βˆ’ βˆ’ NOUN cana-3879 81 24 0.51 0.51 NUM cana-3879 81 25 βˆ… βˆ… NOUN cana-3879 81 26 ( ( PUNCT cana-3879 81 27 𝑂2 𝑂2 NOUN cana-3879 81 28 + + CCONJ cana-3879 81 29 𝑄𝑁2 𝑄𝑁2 PROPN cana-3879 81 30 𝑁2𝑁2 𝑁2𝑁2 VERB cana-3879 82 1 + + CCONJ cana-3879 82 2 π‘„π΄π‘Ÿπ΄π‘Ÿ π‘„π΄π‘Ÿπ΄π‘Ÿ PROPN cana-3879 82 3 + + CCONJ cana-3879 82 4 π‘„π‘π‘œ2 π‘„π‘π‘œ2 PROPN cana-3879 82 5 𝐢𝑂2 𝐢𝑂2 PROPN cana-3879 82 6 + + CCONJ cana-3879 82 7 𝑄𝐻2𝑂𝐻2𝑂 𝑄𝐻2𝑂𝐻2𝑂 ADV cana-3879 82 8 ) ) PUNCT cana-3879 82 9 ] ] PUNCT cana-3879 83 1 ( ( PUNCT cana-3879 83 2 18 18 NUM cana-3879 83 3 ) ) PUNCT cana-3879 83 4 β†’ β†’ PUNCT cana-3879 83 5 𝑋1𝐻 𝑋1𝐻 PROPN cana-3879 83 6 + + CCONJ cana-3879 83 7 𝑋2𝑂 𝑋2𝑂 PROPN cana-3879 83 8 + + CCONJ cana-3879 83 9 𝑋3𝑁 𝑋3𝑁 PROPN cana-3879 83 10 + + PUNCT cana-3879 83 11 𝑋4𝐻2 𝑋4𝐻2 VERB cana-3879 83 12 + + CCONJ cana-3879 83 13 𝑋5𝑂𝐻 𝑋5𝑂𝐻 ADP cana-3879 83 14 + + CCONJ cana-3879 83 15 𝑋6𝐢𝑂 𝑋6𝐢𝑂 PROPN cana-3879 83 16 + + SYM cana-3879 83 17 𝑋7𝑁𝑂 𝑋7𝑁𝑂 ADP cana-3879 83 18 + + NUM cana-3879 83 19 𝑋8𝑂2 𝑋8𝑂2 ADJ cana-3879 83 20 + + CCONJ cana-3879 83 21 𝑋9𝐻2𝑂 𝑋9𝐻2𝑂 ADV cana-3879 83 22 + + NUM cana-3879 83 23 𝑋10𝐢𝑂2 𝑋10𝐢𝑂2 NOUN cana-3879 83 24 + + CCONJ cana-3879 83 25 𝑋11𝑁2 𝑋11𝑁2 NOUN cana-3879 83 26 + + CCONJ cana-3879 83 27 𝑋12π΄π‘Ÿ 𝑋12π΄π‘Ÿ ADJ cana-3879 83 28 + + CCONJ cana-3879 83 29 𝑋14𝑁𝑂2 𝑋14𝑁𝑂2 NOUN cana-3879 83 30 + + CCONJ cana-3879 83 31 𝑋15𝐻𝑂2 𝑋15𝐻𝑂2 NOUN cana-3879 83 32 here here ADV cana-3879 83 33 x x PUNCT cana-3879 83 34 and and CCONJ cana-3879 83 35 q q NOUN cana-3879 83 36 denote denote NOUN cana-3879 83 37 mole mole NOUN cana-3879 83 38 fraction fraction NOUN cana-3879 83 39 and and CCONJ cana-3879 83 40 quality quality NOUN cana-3879 83 41 respectively respectively ADV cana-3879 83 42 . . PUNCT cana-3879 84 1 for for ADP cana-3879 84 2 clarity clarity NOUN cana-3879 84 3 , , PUNCT cana-3879 84 4 we we PRON cana-3879 84 5 define define VERB cana-3879 84 6 : : PUNCT cana-3879 84 7 πœ“ πœ“ NOUN cana-3879 84 8 = = SYM cana-3879 84 9 ( ( PUNCT cana-3879 84 10 𝑛+0.25π‘šβˆ’0.51 𝑛+0.25π‘šβˆ’0.51 PROPN cana-3879 84 11 πœ™ πœ™ NOUN cana-3879 84 12 ) ) PUNCT cana-3879 84 13 the the DET cana-3879 84 14 atom atom NOUN cana-3879 84 15 balance balance NOUN cana-3879 84 16 for for ADP cana-3879 84 17 the the DET cana-3879 84 18 various various ADJ cana-3879 84 19 elements element NOUN cana-3879 84 20 gives give VERB cana-3879 84 21 𝐢 𝐢 PROPN cana-3879 84 22 : : PUNCT cana-3879 84 23 π‘₯6 π‘₯6 PROPN cana-3879 84 24 + + CCONJ cana-3879 84 25 π‘₯10 π‘₯10 NUM cana-3879 84 26 = = SYM cana-3879 84 27 π‘₯13(πœ“π‘„πΆπ‘‚2 π‘₯13(πœ“π‘„πΆπ‘‚2 PROPN cana-3879 84 28 + + CCONJ cana-3879 84 29 𝑛 𝑛 NOUN cana-3879 84 30 ) ) PUNCT cana-3879 84 31 ( ( PUNCT cana-3879 84 32 19 19 NUM cana-3879 84 33 ) ) PUNCT cana-3879 84 34 𝐻 𝐻 PROPN cana-3879 84 35 : : PUNCT cana-3879 84 36 π‘₯1 π‘₯1 NOUN cana-3879 84 37 + + CCONJ cana-3879 84 38 2π‘₯4 2π‘₯4 NUM cana-3879 84 39 + + CCONJ cana-3879 84 40 π‘₯5 π‘₯5 PROPN cana-3879 84 41 + + CCONJ cana-3879 84 42 2π‘₯9 2π‘₯9 NUM cana-3879 84 43 + + CCONJ cana-3879 84 44 π‘₯15 π‘₯15 NOUN cana-3879 84 45 = = PUNCT cana-3879 84 46 π‘₯13(2πœ“π‘„π»2𝑂 π‘₯13(2πœ“π‘„π»2𝑂 ADV cana-3879 84 47 + + NUM cana-3879 84 48 π‘š π‘š X cana-3879 84 49 ) ) PUNCT cana-3879 84 50 ( ( PUNCT cana-3879 84 51 20 20 X cana-3879 84 52 ) ) PUNCT cana-3879 84 53 𝑂 𝑂 NOUN cana-3879 84 54 : : PUNCT cana-3879 84 55 π‘₯2 π‘₯2 NOUN cana-3879 84 56 + + CCONJ cana-3879 84 57 𝑋5 𝑋5 NOUN cana-3879 84 58 + + CCONJ cana-3879 84 59 π‘₯6 π‘₯6 PROPN cana-3879 84 60 + + CCONJ cana-3879 84 61 𝑋7 𝑋7 NOUN cana-3879 84 62 + + CCONJ cana-3879 85 1 2𝑋8 2𝑋8 NUM cana-3879 85 2 + + CCONJ cana-3879 85 3 π‘₯9 π‘₯9 NOUN cana-3879 85 4 + + CCONJ cana-3879 85 5 2𝑋10 2𝑋10 PROPN cana-3879 86 1 + + CCONJ cana-3879 86 2 2𝑋14 2𝑋14 NUM cana-3879 87 1 + + NUM cana-3879 87 2 2𝑋15 2𝑋15 NUM cana-3879 87 3 = = SYM cana-3879 87 4 2𝑋13(πœ“(1 2𝑋13(πœ“(1 PROPN cana-3879 88 1 + + CCONJ cana-3879 88 2 𝑄𝐢𝑂2 𝑄𝐢𝑂2 PROPN cana-3879 88 3 + + CCONJ cana-3879 88 4 0.5𝑄𝐻2𝑂 0.5𝑄𝐻2𝑂 NUM cana-3879 88 5 ) ) PUNCT cana-3879 89 1 + + NOUN cana-3879 89 2 0.51 0.51 NUM cana-3879 89 3 ) ) PUNCT cana-3879 89 4 ( ( PUNCT cana-3879 89 5 21 21 NUM cana-3879 89 6 ) ) PUNCT cana-3879 89 7 𝑁:π‘₯3 𝑁:π‘₯3 VERB cana-3879 89 8 + + CCONJ cana-3879 89 9 π‘₯7 π‘₯7 VERB cana-3879 89 10 + + NUM cana-3879 89 11 2π‘₯11 2π‘₯11 NUM cana-3879 90 1 + + CCONJ cana-3879 90 2 π‘₯14 π‘₯14 ADJ cana-3879 90 3 = = NOUN cana-3879 90 4 2π‘₯13(πœ“π‘„π‘2 2π‘₯13(πœ“π‘„π‘2 NOUN cana-3879 90 5 + + NUM cana-3879 90 6 0.5π‘˜ 0.5π‘˜ NUM cana-3879 90 7 ) ) PUNCT cana-3879 90 8 ( ( PUNCT cana-3879 90 9 22 22 X cana-3879 90 10 ) ) PUNCT cana-3879 90 11 π΄π‘Ÿ π΄π‘Ÿ NOUN cana-3879 90 12 : : PUNCT cana-3879 90 13 π‘₯12 π‘₯12 VERB cana-3879 90 14 = = SYM cana-3879 90 15 π‘₯13πœ“π‘„π΄π‘Ÿ π‘₯13πœ“π‘„π΄π‘Ÿ PROPN cana-3879 90 16 ( ( PUNCT cana-3879 90 17 23 23 NUM cana-3879 90 18 ) ) PUNCT cana-3879 90 19 the the DET cana-3879 90 20 constraint constraint NOUN cana-3879 90 21 that that PRON cana-3879 90 22 the the DET cana-3879 90 23 mole mole NOUN cana-3879 90 24 fraction fraction NOUN cana-3879 90 25 of of ADP cana-3879 90 26 all all DET cana-3879 90 27 the the DET cana-3879 90 28 products product NOUN cana-3879 90 29 adds add VERB cana-3879 90 30 up up ADP cana-3879 90 31 to to ADP cana-3879 90 32 unity unity NOUN cana-3879 90 33 requires require VERB cana-3879 90 34 that that SCONJ cana-3879 90 35 βˆ‘ βˆ‘ PUNCT cana-3879 90 36 π‘₯π‘˜ π‘₯π‘˜ NOUN cana-3879 90 37 + + CCONJ cana-3879 90 38 π‘₯14 π‘₯14 ADJ cana-3879 90 39 + + CCONJ cana-3879 90 40 π‘₯15 π‘₯15 NOUN cana-3879 90 41 = = SYM cana-3879 90 42 1 1 NUM cana-3879 90 43 12 12 NUM cana-3879 90 44 π‘˜=1 π‘˜=1 NOUN cana-3879 90 45 ( ( PUNCT cana-3879 90 46 24 24 NUM cana-3879 90 47 ) ) PUNCT cana-3879 90 48 communications communication NOUN cana-3879 90 49 on on ADP cana-3879 90 50 applied apply VERB cana-3879 90 51 nonlinear nonlinear ADJ cana-3879 90 52 analysis analysis NOUN cana-3879 90 53 issn issn NOUN cana-3879 90 54 : : PUNCT cana-3879 90 55 1074 1074 NUM cana-3879 90 56 - - PUNCT cana-3879 90 57 133x 133x NUM cana-3879 90 58 vol vol NOUN cana-3879 90 59 32 32 NUM cana-3879 91 1 no no NOUN cana-3879 91 2 . . PUNCT cana-3879 92 1 9s 9s NUM cana-3879 92 2 ( ( PUNCT cana-3879 92 3 2025 2025 NUM cana-3879 92 4 ) ) PUNCT cana-3879 92 5 318 318 NUM cana-3879 92 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 92 7 to to PART cana-3879 92 8 solve solve VERB cana-3879 92 9 for for ADP cana-3879 92 10 the the DET cana-3879 92 11 unknowns unknown NOUN cana-3879 92 12 , , PUNCT cana-3879 92 13 we we PRON cana-3879 92 14 need need VERB cana-3879 92 15 equations equation NOUN cana-3879 92 16 that that PRON cana-3879 92 17 are be AUX cana-3879 92 18 provided provide VERB cana-3879 92 19 by by ADP cana-3879 92 20 the the DET cana-3879 92 21 criteria criterion NOUN cana-3879 92 22 of of ADP cana-3879 92 23 equilibrium equilibrium NOUN cana-3879 92 24 among among ADP cana-3879 92 25 the the DET cana-3879 92 26 products product NOUN cana-3879 92 27 , , PUNCT cana-3879 92 28 which which PRON cana-3879 92 29 are be AUX cana-3879 92 30 expressed express VERB cana-3879 92 31 by by ADP cana-3879 92 32 the the DET cana-3879 92 33 following follow VERB cana-3879 92 34 hypothetical hypothetical ADJ cana-3879 92 35 relations relation NOUN cana-3879 92 36 . . PUNCT cana-3879 93 1 1 1 NUM cana-3879 93 2 2 2 NUM cana-3879 93 3 𝐻2 𝐻2 NOUN cana-3879 93 4 ⟷ ⟷ PUNCT cana-3879 94 1 𝐻 𝐻 PROPN cana-3879 94 2 𝐾1 𝐾1 NOUN cana-3879 94 3 = = PUNCT cana-3879 94 4 𝑋1 𝑋1 NOUN cana-3879 95 1 βˆ™ βˆ™ PROPN cana-3879 95 2 𝑃0.5 𝑃0.5 PROPN cana-3879 95 3 𝑋4 𝑋4 VERB cana-3879 95 4 0.5 0.5 NUM cana-3879 95 5 ( ( PUNCT cana-3879 95 6 25π‘Ž 25π‘Ž NOUN cana-3879 95 7 ) ) PUNCT cana-3879 95 8 1 1 NUM cana-3879 95 9 2 2 NUM cana-3879 95 10 02 02 NUM cana-3879 95 11 ⟷ ⟷ NUM cana-3879 95 12 𝑂 𝑂 NOUN cana-3879 95 13 𝐾2 𝐾2 NOUN cana-3879 95 14 = = PUNCT cana-3879 95 15 𝑋2 𝑋2 VERB cana-3879 95 16 βˆ™ βˆ™ PROPN cana-3879 95 17 𝑃0.5 𝑃0.5 ADJ cana-3879 95 18 𝑋8 𝑋8 NOUN cana-3879 95 19 0.5 0.5 NUM cana-3879 95 20 ( ( PUNCT cana-3879 95 21 25𝑏 25𝑏 NUM cana-3879 95 22 ) ) PUNCT cana-3879 95 23 1 1 NUM cana-3879 95 24 2 2 NUM cana-3879 95 25 𝐻2 𝐻2 NOUN cana-3879 95 26 ⟷ ⟷ VERB cana-3879 96 1 𝑁 𝑁 NOUN cana-3879 96 2 𝐾3 𝐾3 NOUN cana-3879 96 3 = = PUNCT cana-3879 96 4 𝑋3 𝑋3 NOUN cana-3879 96 5 βˆ™ βˆ™ PROPN cana-3879 96 6 𝑃0.5 𝑃0.5 PROPN cana-3879 96 7 𝑋11 𝑋11 PROPN cana-3879 96 8 0.5 0.5 NUM cana-3879 96 9 ( ( PUNCT cana-3879 96 10 25𝑐 25𝑐 NOUN cana-3879 96 11 ) ) PUNCT cana-3879 96 12 1 1 NUM cana-3879 96 13 2 2 NUM cana-3879 96 14 𝐻2 𝐻2 NOUN cana-3879 96 15 + + X cana-3879 96 16 1 1 NUM cana-3879 96 17 2 2 NUM cana-3879 96 18 𝑂2 𝑂2 NOUN cana-3879 96 19 ⟷ ⟷ NUM cana-3879 96 20 𝑂𝐻 𝑂𝐻 PROPN cana-3879 96 21 𝐾5 𝐾5 NOUN cana-3879 96 22 = = SYM cana-3879 96 23 𝑋5 𝑋5 PROPN cana-3879 96 24 𝑋4 𝑋4 VERB cana-3879 96 25 0.5 0.5 NUM cana-3879 96 26 βˆ™ βˆ™ PROPN cana-3879 96 27 𝑋8 𝑋8 NOUN cana-3879 96 28 0.5 0.5 NUM cana-3879 96 29 ( ( PUNCT cana-3879 96 30 25𝑑 25𝑑 NUM cana-3879 96 31 ) ) PUNCT cana-3879 96 32 1 1 NUM cana-3879 96 33 2 2 NUM cana-3879 96 34 𝑂2 𝑂2 NOUN cana-3879 96 35 + + CCONJ cana-3879 96 36 1 1 NUM cana-3879 96 37 2 2 NUM cana-3879 96 38 𝑁2 𝑁2 NOUN cana-3879 96 39 ⟷ ⟷ X cana-3879 96 40 𝑁𝑂 𝑁𝑂 PROPN cana-3879 96 41 𝐾7 𝐾7 NOUN cana-3879 96 42 = = PUNCT cana-3879 96 43 𝑋7 𝑋7 PROPN cana-3879 96 44 𝑋8 𝑋8 NOUN cana-3879 96 45 0.5 0.5 NUM cana-3879 96 46 βˆ™ βˆ™ PROPN cana-3879 96 47 𝑋11 𝑋11 PROPN cana-3879 96 48 0.5 0.5 NUM cana-3879 96 49 ( ( PUNCT cana-3879 96 50 25𝑒 25𝑒 NUM cana-3879 96 51 ) ) PUNCT cana-3879 96 52 𝐻2 𝐻2 VERB cana-3879 97 1 + + X cana-3879 97 2 1 1 NUM cana-3879 97 3 2 2 NUM cana-3879 97 4 𝑂2 𝑂2 NOUN cana-3879 97 5 ⟷ ⟷ NUM cana-3879 97 6 𝐻2𝑂 𝐻2𝑂 PROPN cana-3879 97 7 𝐾9 𝐾9 NOUN cana-3879 97 8 = = SYM cana-3879 97 9 𝑋9 𝑋9 PROPN cana-3879 97 10 𝑋4 𝑋4 VERB cana-3879 97 11 βˆ™ βˆ™ PROPN cana-3879 97 12 𝑋8 𝑋8 NOUN cana-3879 97 13 0.5 0.5 NUM cana-3879 97 14 βˆ™ βˆ™ PROPN cana-3879 97 15 𝑃0.5 𝑃0.5 PROPN cana-3879 97 16 ( ( PUNCT cana-3879 97 17 25𝑓 25𝑓 NOUN cana-3879 97 18 ) ) PUNCT cana-3879 97 19 𝐢𝑂 𝐢𝑂 PROPN cana-3879 97 20 + + CCONJ cana-3879 97 21 1 1 NUM cana-3879 97 22 2 2 NUM cana-3879 97 23 𝑂2 𝑂2 NOUN cana-3879 97 24 ⟷ ⟷ PROPN cana-3879 97 25 𝑁𝑂2 𝑁𝑂2 PROPN cana-3879 97 26 𝐾14 𝐾14 PROPN cana-3879 97 27 = = SYM cana-3879 97 28 𝑋14 𝑋14 ADJ cana-3879 97 29 𝑋7 𝑋7 NOUN cana-3879 97 30 βˆ™ βˆ™ PROPN cana-3879 97 31 𝑋8 𝑋8 NOUN cana-3879 97 32 0.5 0.5 NUM cana-3879 97 33 βˆ™ βˆ™ PROPN cana-3879 97 34 𝑃0.5 𝑃0.5 PROPN cana-3879 97 35 ( ( PUNCT cana-3879 97 36 25𝑔 25𝑔 NUM cana-3879 97 37 ) ) PUNCT cana-3879 97 38 𝑁𝑂 𝑁𝑂 NOUN cana-3879 97 39 + + CCONJ cana-3879 98 1 1 1 NUM cana-3879 98 2 2 2 NUM cana-3879 98 3 𝐻2 𝐻2 NOUN cana-3879 98 4 ⟷ ⟷ NUM cana-3879 98 5 𝐻𝑂2 𝐻𝑂2 PROPN cana-3879 98 6 𝐾15 𝐾15 PROPN cana-3879 98 7 = = PUNCT cana-3879 98 8 𝑋15 𝑋15 PROPN cana-3879 98 9 𝑋15 𝑋15 PROPN cana-3879 98 10 βˆ™ βˆ™ PROPN cana-3879 98 11 𝑋4 𝑋4 VERB cana-3879 98 12 0.5 0.5 NUM cana-3879 98 13 βˆ™ βˆ™ PROPN cana-3879 98 14 𝑃0.5 𝑃0.5 PROPN cana-3879 98 15 ( ( PUNCT cana-3879 98 16 25β„Ž 25β„Ž NUM cana-3879 98 17 ) ) PUNCT cana-3879 98 18 𝑂2 𝑂2 NOUN cana-3879 99 1 + + CCONJ cana-3879 99 2 1 1 NUM cana-3879 99 3 2 2 NUM cana-3879 99 4 𝐻2 𝐻2 NOUN cana-3879 99 5 ⟷ ⟷ NUM cana-3879 99 6 𝐻𝑂2 𝐻𝑂2 PROPN cana-3879 99 7 𝐾15 𝐾15 PROPN cana-3879 99 8 = = PUNCT cana-3879 99 9 𝑋15 𝑋15 PROPN cana-3879 99 10 𝑋15 𝑋15 PROPN cana-3879 99 11 βˆ™ βˆ™ PROPN cana-3879 99 12 𝑋4 𝑋4 VERB cana-3879 99 13 0.5 0.5 NUM cana-3879 99 14 βˆ™ βˆ™ PROPN cana-3879 99 15 𝑃0.5 𝑃0.5 PROPN cana-3879 99 16 ( ( PUNCT cana-3879 99 17 25𝑖 25𝑖 NOUN cana-3879 99 18 ) ) PUNCT cana-3879 99 19 the the DET cana-3879 99 20 equilibrium equilibrium NOUN cana-3879 99 21 constant constant ADJ cana-3879 99 22 k k PROPN cana-3879 99 23 , , PUNCT cana-3879 99 24 for for ADP cana-3879 99 25 the the DET cana-3879 99 26 above above ADJ cana-3879 99 27 are be AUX cana-3879 99 28 determined determine VERB cana-3879 99 29 from from ADP cana-3879 99 30 the the DET cana-3879 99 31 gibbs gibbs PROPN cana-3879 99 32 free free ADJ cana-3879 99 33 energy energy NOUN cana-3879 99 34 as as ADP cana-3879 99 35 βˆ’ βˆ’ PROPN cana-3879 99 36 βˆ†πΊ βˆ†πΊ ADV cana-3879 99 37 Β° Β° ADP cana-3879 99 38 𝑅𝑇 𝑅𝑇 PROPN cana-3879 99 39 = = SYM cana-3879 99 40 𝐼𝑛𝐾𝑝 𝐼𝑛𝐾𝑝 PROPN cana-3879 99 41 ( ( PUNCT cana-3879 99 42 26 26 NUM cana-3879 99 43 ) ) PUNCT cana-3879 99 44 where where SCONJ cana-3879 99 45 βˆ†πΊ βˆ†πΊ NOUN cana-3879 99 46 Β° Β° NOUN cana-3879 99 47 is be AUX cana-3879 99 48 the the DET cana-3879 99 49 standard standard ADJ cana-3879 99 50 - - PUNCT cana-3879 99 51 state state NOUN cana-3879 99 52 gibbs gibbs PROPN cana-3879 99 53 free free ADJ cana-3879 99 54 energy energy NOUN cana-3879 99 55 . . PUNCT cana-3879 100 1 the the DET cana-3879 100 2 values value NOUN cana-3879 100 3 of of ADP cana-3879 100 4 the the DET cana-3879 100 5 equilibrium equilibrium NOUN cana-3879 100 6 constants constant NOUN cana-3879 100 7 can can AUX cana-3879 100 8 be be AUX cana-3879 100 9 obtained obtain VERB cana-3879 100 10 from from ADP cana-3879 100 11 [ [ X cana-3879 100 12 11 11 NUM cana-3879 100 13 ] ] PUNCT cana-3879 100 14 . . PUNCT cana-3879 101 1 equations equation NOUN cana-3879 101 2 ( ( PUNCT cana-3879 101 3 25a 25a NOUN cana-3879 101 4 ) ) PUNCT cana-3879 101 5 to to ADP cana-3879 101 6 ( ( PUNCT cana-3879 101 7 25i 25i NOUN cana-3879 101 8 ) ) PUNCT cana-3879 101 9 reduce reduce VERB cana-3879 101 10 to to ADP cana-3879 101 11 the the DET cana-3879 101 12 following following NOUN cana-3879 101 13 which which PRON cana-3879 101 14 is be AUX cana-3879 101 15 then then ADV cana-3879 101 16 solved solve VERB cana-3879 101 17 using use VERB cana-3879 101 18 newton newton PROPN cana-3879 101 19 - - PUNCT cana-3879 101 20 raphson raphson PROPN cana-3879 101 21 iteration iteration NOUN cana-3879 101 22 scheme scheme NOUN cana-3879 101 23 . . PUNCT cana-3879 102 1 π‘₯1 π‘₯1 NOUN cana-3879 102 2 + + NOUN cana-3879 102 3 2𝑋4 2𝑋4 NUM cana-3879 102 4 + + CCONJ cana-3879 102 5 2𝑋9 2𝑋9 NUM cana-3879 102 6 + + CCONJ cana-3879 102 7 𝑋15 𝑋15 PROPN cana-3879 102 8 βˆ’ βˆ’ PROPN cana-3879 102 9 ( ( PUNCT cana-3879 102 10 2πœ“π‘„π»2𝑂 2πœ“π‘„π»2𝑂 NUM cana-3879 102 11 + + CCONJ cana-3879 102 12 π‘š π‘š NOUN cana-3879 102 13 ) ) PUNCT cana-3879 102 14 πœ“π‘„πΆπ‘‚2 πœ“π‘„πΆπ‘‚2 NOUN cana-3879 102 15 + + CCONJ cana-3879 102 16 𝑛 𝑛 PROPN cana-3879 102 17 ( ( PUNCT cana-3879 102 18 𝑋6 𝑋6 NOUN cana-3879 102 19 + + CCONJ cana-3879 102 20 𝑋10 𝑋10 PROPN cana-3879 102 21 ) ) PUNCT cana-3879 103 1 = = SYM cana-3879 103 2 0 0 NUM cana-3879 103 3 ( ( PUNCT cana-3879 103 4 27 27 NUM cana-3879 103 5 ) ) PUNCT cana-3879 103 6 π‘₯2 π‘₯2 NOUN cana-3879 103 7 + + CCONJ cana-3879 104 1 π‘₯5 π‘₯5 PROPN cana-3879 104 2 + + CCONJ cana-3879 104 3 π‘₯6 π‘₯6 PROPN cana-3879 104 4 + + CCONJ cana-3879 104 5 π‘₯7 π‘₯7 ADJ cana-3879 104 6 + + NOUN cana-3879 104 7 π‘₯8 π‘₯8 NOUN cana-3879 104 8 + + CCONJ cana-3879 104 9 π‘₯9 π‘₯9 NOUN cana-3879 104 10 + + CCONJ cana-3879 104 11 2π‘₯10 2π‘₯10 NUM cana-3879 104 12 + + CCONJ cana-3879 104 13 2π‘₯14 2π‘₯14 NUM cana-3879 104 14 + + CCONJ cana-3879 104 15 π‘₯15 π‘₯15 ADJ cana-3879 104 16 βˆ’ βˆ’ NUM cana-3879 104 17 2(πœ“(1 2(πœ“(1 NUM cana-3879 104 18 + + CCONJ cana-3879 104 19 𝑄𝐢𝑂2 𝑄𝐢𝑂2 X cana-3879 104 20 + + CCONJ cana-3879 104 21 0.5𝑄𝐻2𝑂 0.5𝑄𝐻2𝑂 NUM cana-3879 104 22 ) ) PUNCT cana-3879 105 1 + + NOUN cana-3879 105 2 0.51 0.51 NUM cana-3879 105 3 ) ) PUNCT cana-3879 105 4 ( ( PUNCT cana-3879 105 5 πœ“π‘„πΆπ‘‚2 πœ“π‘„πΆπ‘‚2 VERB cana-3879 105 6 + + CCONJ cana-3879 105 7 𝑛 𝑛 X cana-3879 105 8 ) ) PUNCT cana-3879 105 9 ( ( PUNCT cana-3879 105 10 π‘₯6 π‘₯6 PROPN cana-3879 105 11 + + CCONJ cana-3879 105 12 π‘₯10 π‘₯10 NOUN cana-3879 105 13 ) ) PUNCT cana-3879 105 14 = = SYM cana-3879 105 15 0 0 NUM cana-3879 105 16 ( ( PUNCT cana-3879 105 17 28 28 NUM cana-3879 105 18 ) ) PUNCT cana-3879 105 19 communications communication NOUN cana-3879 105 20 on on ADP cana-3879 105 21 applied apply VERB cana-3879 105 22 nonlinear nonlinear ADJ cana-3879 105 23 analysis analysis NOUN cana-3879 105 24 issn issn NOUN cana-3879 105 25 : : PUNCT cana-3879 105 26 1074 1074 NUM cana-3879 105 27 - - PUNCT cana-3879 105 28 133x 133x NUM cana-3879 105 29 vol vol NOUN cana-3879 105 30 32 32 NUM cana-3879 106 1 no no NOUN cana-3879 106 2 . . PUNCT cana-3879 107 1 9s 9s NUM cana-3879 107 2 ( ( PUNCT cana-3879 107 3 2025 2025 NUM cana-3879 107 4 ) ) PUNCT cana-3879 107 5 319 319 NUM cana-3879 107 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 107 7 π‘₯3 π‘₯3 NOUN cana-3879 107 8 + + CCONJ cana-3879 107 9 π‘₯7 π‘₯7 VERB cana-3879 107 10 + + NUM cana-3879 107 11 2π‘₯11 2π‘₯11 NUM cana-3879 108 1 + + CCONJ cana-3879 108 2 π‘₯14 π‘₯14 ADJ cana-3879 108 3 βˆ’ βˆ’ PROPN cana-3879 108 4 2(πœ“π‘„π‘2 2(πœ“π‘„π‘2 NUM cana-3879 108 5 + + NUM cana-3879 108 6 0.5π‘˜ 0.5π‘˜ NUM cana-3879 108 7 ) ) PUNCT cana-3879 108 8 ( ( PUNCT cana-3879 108 9 πœ“π‘„πΆπ‘‚2 πœ“π‘„πΆπ‘‚2 VERB cana-3879 108 10 + + CCONJ cana-3879 108 11 𝑛 𝑛 X cana-3879 108 12 ) ) PUNCT cana-3879 108 13 ( ( PUNCT cana-3879 108 14 π‘₯6 π‘₯6 PROPN cana-3879 108 15 + + CCONJ cana-3879 108 16 π‘₯10 π‘₯10 NOUN cana-3879 108 17 ) ) PUNCT cana-3879 108 18 = = SYM cana-3879 108 19 0 0 NUM cana-3879 109 1 ( ( PUNCT cana-3879 109 2 29 29 NUM cana-3879 109 3 ) ) PUNCT cana-3879 109 4 π‘₯1 π‘₯1 NOUN cana-3879 109 5 + + CCONJ cana-3879 109 6 π‘₯2 π‘₯2 PROPN cana-3879 109 7 + + CCONJ cana-3879 109 8 π‘₯3 π‘₯3 ADJ cana-3879 109 9 + + CCONJ cana-3879 109 10 π‘₯4 π‘₯4 NOUN cana-3879 109 11 + + CCONJ cana-3879 109 12 π‘₯5 π‘₯5 PROPN cana-3879 109 13 + + CCONJ cana-3879 109 14 π‘₯6 π‘₯6 PROPN cana-3879 109 15 + + CCONJ cana-3879 109 16 π‘₯7 π‘₯7 ADJ cana-3879 109 17 + + NOUN cana-3879 109 18 π‘₯8 π‘₯8 NOUN cana-3879 109 19 + + CCONJ cana-3879 109 20 π‘₯9 π‘₯9 NOUN cana-3879 109 21 + + CCONJ cana-3879 109 22 π‘₯10 π‘₯10 NOUN cana-3879 109 23 + + CCONJ cana-3879 109 24 π‘₯11 π‘₯11 ADV cana-3879 109 25 + + CCONJ cana-3879 109 26 π‘₯14 π‘₯14 ADJ cana-3879 109 27 + + CCONJ cana-3879 109 28 π‘₯15 π‘₯15 NOUN cana-3879 109 29 + + CCONJ cana-3879 109 30 πœ“π‘„π΄π‘Ÿ πœ“π‘„π΄π‘Ÿ NOUN cana-3879 109 31 ( ( PUNCT cana-3879 109 32 πœ“π‘„πΆπ‘‚2 πœ“π‘„πΆπ‘‚2 PROPN cana-3879 109 33 + + CCONJ cana-3879 109 34 𝑛 𝑛 X cana-3879 109 35 ) ) PUNCT cana-3879 109 36 ( ( PUNCT cana-3879 109 37 π‘₯6 π‘₯6 PROPN cana-3879 109 38 + + CCONJ cana-3879 109 39 π‘₯10 π‘₯10 NOUN cana-3879 109 40 ) ) PUNCT cana-3879 109 41 βˆ’ βˆ’ PROPN cana-3879 109 42 1 1 NUM cana-3879 109 43 = = SYM cana-3879 109 44 0 0 NUM cana-3879 109 45 ( ( PUNCT cana-3879 109 46 30 30 NUM cana-3879 109 47 ) ) PUNCT cana-3879 110 1 f. f. NOUN cana-3879 110 2 frozen frozen ADJ cana-3879 110 3 composition composition NOUN cana-3879 110 4 depcik depcik NOUN cana-3879 110 5 model model NOUN cana-3879 110 6 [ [ X cana-3879 110 7 6 6 NUM cana-3879 110 8 ] ] PUNCT cana-3879 110 9 is be AUX cana-3879 110 10 applicable applicable ADJ cana-3879 110 11 only only ADV cana-3879 110 12 over over ADP cana-3879 110 13 the the DET cana-3879 110 14 range range NOUN cana-3879 110 15 of of ADP cana-3879 110 16 600 600 NUM cana-3879 110 17 - - PUNCT cana-3879 110 18 4000k 4000k NUM cana-3879 110 19 . . PUNCT cana-3879 111 1 we we PRON cana-3879 111 2 use use VERB cana-3879 111 3 the the DET cana-3879 111 4 ferguson ferguson PROPN cana-3879 111 5 model model NOUN cana-3879 112 1 [ [ X cana-3879 112 2 7 7 X cana-3879 112 3 ] ] PUNCT cana-3879 112 4 that that PRON cana-3879 112 5 calculates calculate VERB cana-3879 112 6 the the DET cana-3879 112 7 species specie NOUN cana-3879 112 8 of of ADP cana-3879 112 9 combustion combustion NOUN cana-3879 112 10 in in ADP cana-3879 112 11 the the DET cana-3879 112 12 low low ADJ cana-3879 112 13 ranges range NOUN cana-3879 112 14 of of ADP cana-3879 112 15 temperature temperature NOUN cana-3879 112 16 from from ADP cana-3879 112 17 300 300 NUM cana-3879 112 18 - - PUNCT cana-3879 112 19 600k 600k NUM cana-3879 112 20 . . PUNCT cana-3879 113 1 this this DET cana-3879 113 2 model model NOUN cana-3879 113 3 assumes assume VERB cana-3879 113 4 that that SCONJ cana-3879 113 5 the the DET cana-3879 113 6 only only ADJ cana-3879 113 7 species specie NOUN cana-3879 113 8 prevalent prevalent ADJ cana-3879 113 9 in in ADP cana-3879 113 10 the the DET cana-3879 113 11 exhaust exhaust NOUN cana-3879 113 12 are be AUX cana-3879 113 13 : : PUNCT cana-3879 113 14 co2 co2 NOUN cana-3879 113 15 , , PUNCT cana-3879 113 16 h2o h2o PROPN cana-3879 113 17 , , PUNCT cana-3879 113 18 n2 n2 NOUN cana-3879 113 19 , , PUNCT cana-3879 113 20 ar ar PROPN cana-3879 113 21 , , PUNCT cana-3879 113 22 co co NOUN cana-3879 113 23 , , PUNCT cana-3879 113 24 o2 o2 PROPN cana-3879 113 25 and and CCONJ cana-3879 113 26 h2 h2 NOUN cana-3879 113 27 . . PUNCT cana-3879 114 1 the the DET cana-3879 114 2 general general ADJ cana-3879 114 3 reaction reaction NOUN cana-3879 114 4 is be AUX cana-3879 114 5 given give VERB cana-3879 114 6 by by ADP cana-3879 114 7 πœ–βˆ…πΆπ‘Žπ»π›½π‘‚π›Ύπ‘π›Ώ πœ–βˆ…πΆπ‘Žπ»π›½π‘‚π›Ύπ‘π›Ώ PROPN cana-3879 114 8 + + CCONJ cana-3879 114 9 ( ( PUNCT cana-3879 114 10 π‘Šπ‘‚2 π‘Šπ‘‚2 PROPN cana-3879 114 11 + + CCONJ cana-3879 114 12 𝑋𝑁2 𝑋𝑁2 PROPN cana-3879 114 13 + + CCONJ cana-3879 114 14 π‘Œπ΄π‘Ÿ π‘Œπ΄π‘Ÿ NOUN cana-3879 114 15 + + CCONJ cana-3879 114 16 𝑍𝐢𝑂2 𝑍𝐢𝑂2 NUM cana-3879 114 17 ) ) PUNCT cana-3879 114 18 β†’ β†’ SYM cana-3879 114 19 π‘₯1𝐢𝑂2 π‘₯1𝐢𝑂2 X cana-3879 114 20 + + PUNCT cana-3879 114 21 π‘₯2𝐻2𝑂 π‘₯2𝐻2𝑂 ADV cana-3879 114 22 + + CCONJ cana-3879 114 23 π‘₯3𝑁2 π‘₯3𝑁2 NUM cana-3879 114 24 + + CCONJ cana-3879 114 25 π‘₯4𝑂2 π‘₯4𝑂2 ADJ cana-3879 114 26 + + ADP cana-3879 114 27 π‘₯5𝐢𝑂 π‘₯5𝐢𝑂 NOUN cana-3879 114 28 + + CCONJ cana-3879 114 29 π‘₯6𝐻2 π‘₯6𝐻2 NUM cana-3879 114 30 + + PROPN cana-3879 114 31 π‘₯7π΄π‘Ÿ π‘₯7π΄π‘Ÿ X cana-3879 114 32 ( ( PUNCT cana-3879 114 33 31 31 NUM cana-3879 114 34 ) ) PUNCT cana-3879 114 35 equation equation NOUN cana-3879 114 36 ( ( PUNCT cana-3879 114 37 31 31 NUM cana-3879 114 38 ) ) PUNCT cana-3879 114 39 is be AUX cana-3879 114 40 formulated formulate VERB cana-3879 114 41 for for ADP cana-3879 114 42 stoichiometric stoichiometric ADJ cana-3879 114 43 case case NOUN cana-3879 114 44 , , PUNCT cana-3879 114 45 i.e. i.e. X cana-3879 114 46 ( ( PUNCT cana-3879 114 47 βˆ… βˆ… NOUN cana-3879 114 48 = = SYM cana-3879 114 49 1)wherein 1)wherein NUM cana-3879 114 50 π‘₯4 π‘₯4 NOUN cana-3879 114 51 = = SYM cana-3879 114 52 π‘₯5 π‘₯5 PROPN cana-3879 114 53 = = SYM cana-3879 114 54 π‘₯6 π‘₯6 PROPN cana-3879 114 55 = = SYM cana-3879 114 56 0 0 NUM cana-3879 114 57 . . PUNCT cana-3879 115 1 for for ADP cana-3879 115 2 lean lean ADJ cana-3879 115 3 , , PUNCT cana-3879 115 4 i.e. i.e. X cana-3879 115 5 ( ( PUNCT cana-3879 115 6 βˆ… βˆ… NOUN cana-3879 115 7 ≀ ≀ NUM cana-3879 115 8 1 1 NUM cana-3879 115 9 ) ) PUNCT cana-3879 115 10 , , PUNCT cana-3879 115 11 π‘₯5 π‘₯5 PROPN cana-3879 115 12 = = SYM cana-3879 115 13 π‘₯6 π‘₯6 PROPN cana-3879 115 14 = = SYM cana-3879 115 15 0 0 NUM cana-3879 115 16 and and CCONJ cana-3879 115 17 for for ADP cana-3879 115 18 rich rich ADJ cana-3879 115 19 , , PUNCT cana-3879 115 20 i.e. i.e. X cana-3879 115 21 ( ( PUNCT cana-3879 115 22 βˆ… βˆ… NOUN cana-3879 115 23 ≀ ≀ NUM cana-3879 115 24 1 1 NUM cana-3879 115 25 ) ) PUNCT cana-3879 115 26 , , PUNCT cana-3879 115 27 π‘₯4 π‘₯4 NOUN cana-3879 115 28 = = SYM cana-3879 115 29 0 0 X cana-3879 115 30 . . X cana-3879 115 31 performing perform VERB cana-3879 115 32 atom atom NOUN cana-3879 115 33 balance balance NOUN cana-3879 115 34 for for ADP cana-3879 115 35 stoichiometric stoichiometric ADJ cana-3879 115 36 case case NOUN cana-3879 115 37 and and CCONJ cana-3879 115 38 solving solving NOUN cana-3879 115 39 for for ADP cana-3879 115 40 the the DET cana-3879 115 41 coefficients coefficient NOUN cana-3879 115 42 give give VERB cana-3879 115 43 𝐢 𝐢 PROPN cana-3879 115 44 : : PUNCT cana-3879 115 45 βˆ…νœ€π›Ό βˆ…νœ€π›Ό NOUN cana-3879 115 46 + + CCONJ cana-3879 115 47 𝑍 𝑍 PROPN cana-3879 115 48 = = SYM cana-3879 115 49 π‘₯1 π‘₯1 PROPN cana-3879 115 50 ⟹ ⟹ NUM cana-3879 115 51 π‘₯1 π‘₯1 PROPN cana-3879 115 52 = = PROPN cana-3879 116 1 βˆ…νœ€π›Ό βˆ…νœ€π›Ό PROPN cana-3879 116 2 + + CCONJ cana-3879 116 3 𝑍 𝑍 PROPN cana-3879 116 4 ( ( PUNCT cana-3879 116 5 32 32 NUM cana-3879 116 6 ) ) PUNCT cana-3879 116 7 𝐻 𝐻 PROPN cana-3879 116 8 : : PUNCT cana-3879 116 9 βˆ…νœ€π›½ βˆ…νœ€π›½ NOUN cana-3879 116 10 = = SYM cana-3879 116 11 2π‘₯2 2π‘₯2 NUM cana-3879 116 12 ⟹ ⟹ NUM cana-3879 116 13 π‘₯2 π‘₯2 NOUN cana-3879 116 14 = = SYM cana-3879 116 15 βˆ…νœ€π›½ βˆ…νœ€π›½ NOUN cana-3879 116 16 2 2 NUM cana-3879 116 17 ( ( PUNCT cana-3879 116 18 33 33 NUM cana-3879 116 19 ) ) PUNCT cana-3879 116 20 𝑂 𝑂 NOUN cana-3879 116 21 : : PUNCT cana-3879 116 22 βˆ…νœ€π›Ύ βˆ…νœ€π›Ύ PROPN cana-3879 116 23 + + CCONJ cana-3879 116 24 2π‘Š 2π‘Š NOUN cana-3879 116 25 + + CCONJ cana-3879 116 26 2𝑍 2𝑍 NOUN cana-3879 116 27 = = SYM cana-3879 116 28 2π‘₯1 2π‘₯1 NUM cana-3879 116 29 + + CCONJ cana-3879 116 30 π‘₯2 π‘₯2 NOUN cana-3879 116 31 ( ( PUNCT cana-3879 116 32 34 34 NUM cana-3879 116 33 ) ) PUNCT cana-3879 116 34 𝑁 𝑁 NOUN cana-3879 116 35 : : PUNCT cana-3879 116 36 βˆ…νœ€π›Ώ βˆ…νœ€π›Ώ NOUN cana-3879 116 37 + + CCONJ cana-3879 116 38 2𝑋 2𝑋 NOUN cana-3879 116 39 = = SYM cana-3879 116 40 2π‘₯3 2π‘₯3 NUM cana-3879 116 41 ⟹ ⟹ NUM cana-3879 116 42 π‘₯3 π‘₯3 NOUN cana-3879 116 43 = = SYM cana-3879 116 44 βˆ…νœ€π›Ώ βˆ…νœ€π›Ώ NOUN cana-3879 116 45 + + CCONJ cana-3879 116 46 2𝑋 2𝑋 PROPN cana-3879 116 47 2 2 NUM cana-3879 116 48 ( ( PUNCT cana-3879 116 49 35 35 NUM cana-3879 116 50 ) ) PUNCT cana-3879 116 51 π΄π‘Ÿ π΄π‘Ÿ NOUN cana-3879 116 52 : : PUNCT cana-3879 116 53 π‘Œ π‘Œ PROPN cana-3879 116 54 = = SYM cana-3879 116 55 𝑋7 𝑋7 PROPN cana-3879 116 56 ⟹ ⟹ PRON cana-3879 116 57 π‘₯7 π‘₯7 PROPN cana-3879 116 58 = = SYM cana-3879 116 59 π‘Œ π‘Œ PROPN cana-3879 116 60 ( ( PUNCT cana-3879 116 61 36 36 NUM cana-3879 116 62 ) ) PUNCT cana-3879 116 63 νœ€ νœ€ NOUN cana-3879 116 64 = = PUNCT cana-3879 116 65 π‘Š π‘Š NOUN cana-3879 116 66 𝛼 𝛼 NOUN cana-3879 116 67 + + NOUN cana-3879 116 68 𝛽 𝛽 NOUN cana-3879 116 69 4 4 NUM cana-3879 116 70 βˆ’ βˆ’ NOUN cana-3879 116 71 𝛾 𝛾 NOUN cana-3879 116 72 2 2 NUM cana-3879 116 73 ( ( PUNCT cana-3879 116 74 37 37 NUM cana-3879 116 75 ) ) PUNCT cana-3879 116 76 hence hence ADV cana-3879 116 77 the the DET cana-3879 116 78 stoichiometric stoichiometric ADJ cana-3879 116 79 fuel fuel NOUN cana-3879 116 80 - - PUNCT cana-3879 116 81 air air NOUN cana-3879 116 82 ratio ratio NOUN cana-3879 116 83 is be AUX cana-3879 116 84 ( ( PUNCT cana-3879 116 85 [ [ X cana-3879 116 86 𝐹 𝐹 X cana-3879 116 87 ] ] X cana-3879 116 88 π΄π‘–π‘Ÿ π΄π‘–π‘Ÿ PROPN cana-3879 116 89 ) ) PUNCT cana-3879 116 90 𝑆𝑑. 𝑆𝑑. PROPN cana-3879 117 1 = = PUNCT cana-3879 118 1 νœ€(12.011𝛼 νœ€(12.011𝛼 NOUN cana-3879 118 2 + + CCONJ cana-3879 118 3 1.008𝛽 1.008𝛽 NUM cana-3879 118 4 + + NUM cana-3879 118 5 16.0𝛾 16.0𝛾 NUM cana-3879 118 6 + + CCONJ cana-3879 118 7 14.01𝛿 14.01𝛿 NUM cana-3879 118 8 ) ) PUNCT cana-3879 118 9 31.998π‘Š 31.998π‘Š NUM cana-3879 118 10 + + CCONJ cana-3879 118 11 28.012𝑋 28.012𝑋 PROPN cana-3879 118 12 + + CCONJ cana-3879 118 13 38.948π‘Œ 38.948π‘Œ NUM cana-3879 118 14 + + NUM cana-3879 118 15 44.009𝑍 44.009𝑍 NOUN cana-3879 118 16 ( ( PUNCT cana-3879 118 17 38 38 NUM cana-3879 118 18 ) ) PUNCT cana-3879 118 19 communications communication NOUN cana-3879 118 20 on on ADP cana-3879 118 21 applied apply VERB cana-3879 118 22 nonlinear nonlinear ADJ cana-3879 118 23 analysis analysis NOUN cana-3879 118 24 issn issn NOUN cana-3879 118 25 : : PUNCT cana-3879 118 26 1074 1074 NUM cana-3879 118 27 - - PUNCT cana-3879 118 28 133x 133x NUM cana-3879 118 29 vol vol NOUN cana-3879 118 30 32 32 NUM cana-3879 118 31 no no NOUN cana-3879 118 32 . . PUNCT cana-3879 119 1 9s 9s NUM cana-3879 119 2 ( ( PUNCT cana-3879 119 3 2025 2025 NUM cana-3879 119 4 ) ) PUNCT cana-3879 119 5 320 320 NUM cana-3879 119 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 119 7 equation equation NOUN cana-3879 119 8 ( ( PUNCT cana-3879 119 9 38 38 NUM cana-3879 119 10 ) ) PUNCT cana-3879 119 11 is be AUX cana-3879 119 12 used use VERB cana-3879 119 13 in in ADP cana-3879 119 14 ( ( PUNCT cana-3879 119 15 13 13 NUM cana-3879 119 16 ) ) PUNCT cana-3879 119 17 or or CCONJ cana-3879 119 18 ( ( PUNCT cana-3879 119 19 14 14 NUM cana-3879 119 20 ) ) PUNCT cana-3879 119 21 to to PART cana-3879 119 22 calculate calculate VERB cana-3879 119 23 the the DET cana-3879 119 24 equivalence equivalence NOUN cana-3879 119 25 ratio ratio NOUN cana-3879 119 26 . . PUNCT cana-3879 120 1 similar similar ADJ cana-3879 120 2 formulation formulation NOUN cana-3879 120 3 can can AUX cana-3879 120 4 be be AUX cana-3879 120 5 used use VERB cana-3879 120 6 for for ADP cana-3879 120 7 lean lean ADJ cana-3879 120 8 and and CCONJ cana-3879 120 9 rich rich ADJ cana-3879 120 10 mixture mixture NOUN cana-3879 120 11 cases case NOUN cana-3879 120 12 . . PUNCT cana-3879 121 1 g. g. PROPN cana-3879 121 2 thermal thermal ADJ cana-3879 121 3 properties property NOUN cana-3879 121 4 we we PRON cana-3879 121 5 consider consider VERB cana-3879 121 6 the the DET cana-3879 121 7 unburned unburned ADJ cana-3879 121 8 and and CCONJ cana-3879 121 9 burnt burn VERB cana-3879 121 10 mixture mixture NOUN cana-3879 121 11 zones zone NOUN cana-3879 121 12 as as ADP cana-3879 121 13 separate separate ADJ cana-3879 121 14 open open ADJ cana-3879 121 15 systems system NOUN cana-3879 121 16 . . PUNCT cana-3879 122 1 therefore therefore ADV cana-3879 122 2 , , PUNCT cana-3879 122 3 the the DET cana-3879 122 4 specific specific ADJ cana-3879 122 5 internal internal ADJ cana-3879 122 6 energy energy NOUN cana-3879 122 7 , , PUNCT cana-3879 122 8 u u NOUN cana-3879 122 9 and and CCONJ cana-3879 122 10 specific specific ADJ cana-3879 122 11 volume volume NOUN cana-3879 122 12 , , PUNCT cana-3879 122 13 v v NOUN cana-3879 122 14 is be AUX cana-3879 122 15 expressed express VERB cana-3879 122 16 as as ADP cana-3879 122 17 𝑒 𝑒 PROPN cana-3879 122 18 = = SYM cana-3879 122 19 π‘ˆ π‘ˆ NOUN cana-3879 122 20 π‘š π‘š NOUN cana-3879 122 21 = = PUNCT cana-3879 122 22 π‘₯𝑒𝑏 π‘₯𝑒𝑏 NOUN cana-3879 122 23 + + CCONJ cana-3879 122 24 ( ( PUNCT cana-3879 122 25 1 1 NUM cana-3879 122 26 βˆ’ βˆ’ PROPN cana-3879 123 1 π‘₯)𝑒𝑒 π‘₯)𝑒𝑒 PROPN cana-3879 123 2 ( ( PUNCT cana-3879 123 3 39 39 NUM cana-3879 123 4 ) ) PUNCT cana-3879 123 5 𝑣 𝑣 NOUN cana-3879 123 6 = = SYM cana-3879 123 7 𝑉 𝑉 PROPN cana-3879 123 8 π‘š π‘š NOUN cana-3879 123 9 = = PUNCT cana-3879 123 10 π‘₯𝑉𝑏 π‘₯𝑉𝑏 SYM cana-3879 123 11 + + CCONJ cana-3879 123 12 ( ( PUNCT cana-3879 123 13 1 1 NUM cana-3879 123 14 βˆ’ βˆ’ NOUN cana-3879 123 15 π‘₯)𝑉𝑒 π‘₯)𝑉𝑒 NOUN cana-3879 123 16 ( ( PUNCT cana-3879 123 17 40 40 NUM cana-3879 123 18 ) ) PUNCT cana-3879 123 19 subscripts subscript NOUN cana-3879 123 20 b b NOUN cana-3879 123 21 and and CCONJ cana-3879 123 22 u u PRON cana-3879 123 23 refers refer VERB cana-3879 123 24 to to ADP cana-3879 123 25 burnt burn VERB cana-3879 123 26 gas gas NOUN cana-3879 123 27 and and CCONJ cana-3879 123 28 unburned unburned ADJ cana-3879 123 29 gas gas NOUN cana-3879 123 30 respectively respectively ADV cana-3879 123 31 . . PUNCT cana-3879 124 1 going go VERB cana-3879 124 2 by by ADP cana-3879 124 3 our our PRON cana-3879 124 4 assumption assumption NOUN cana-3879 124 5 that that SCONJ cana-3879 124 6 the the DET cana-3879 124 7 pressures pressure NOUN cana-3879 124 8 of of ADP cana-3879 124 9 burnt burn VERB cana-3879 124 10 and and CCONJ cana-3879 124 11 unburned unburned ADJ cana-3879 124 12 gases gas NOUN cana-3879 124 13 are be AUX cana-3879 124 14 equal equal ADJ cana-3879 124 15 , , PUNCT cana-3879 124 16 𝑣𝑏 𝑣𝑏 VERB cana-3879 124 17 and and CCONJ cana-3879 124 18 𝑣𝑒 𝑣𝑒 NOUN cana-3879 124 19 are be AUX cana-3879 124 20 functions function NOUN cana-3879 124 21 of of ADP cana-3879 124 22 𝑇𝑏 𝑇𝑏 PROPN cana-3879 124 23 , , PUNCT cana-3879 124 24 𝑇𝑒 𝑇𝑒 PROPN cana-3879 124 25 and and CCONJ cana-3879 124 26 p p NOUN cana-3879 124 27 . . PUNCT cana-3879 125 1 hence hence ADV cana-3879 125 2 𝑑𝑣𝑏 𝑑𝑣𝑏 NOUN cana-3879 125 3 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 125 4 πœ•π‘£π‘π‘‘π‘‡π‘ πœ•π‘£π‘π‘‘π‘‡π‘ NUM cana-3879 125 5 πœ•π‘‡π‘π‘‘πœƒ πœ•π‘‡π‘π‘‘πœƒ PRON cana-3879 125 6 πœ•π‘£π‘ πœ•π‘£π‘ VERB cana-3879 126 1 πœ•π‘‡ πœ•π‘‡ VERB cana-3879 126 2 𝑑𝑝 𝑑𝑝 ADV cana-3879 126 3 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 126 4 ( ( PUNCT cana-3879 126 5 41 41 NUM cana-3879 126 6 ) ) PUNCT cana-3879 126 7 𝑑𝑣𝑒 𝑑𝑣𝑒 NOUN cana-3879 126 8 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 126 9 = = SYM cana-3879 126 10 πœ•π‘£π‘’π‘‘π‘‡π‘’ πœ•π‘£π‘’π‘‘π‘‡π‘’ PROPN cana-3879 126 11 πœ•π‘‡π‘’π‘‘πœƒ πœ•π‘‡π‘’π‘‘πœƒ PROPN cana-3879 126 12 + + PROPN cana-3879 126 13 πœ•π‘£π‘’ πœ•π‘£π‘’ PART cana-3879 126 14 πœ•π‘ πœ•π‘ VERB cana-3879 126 15 𝑑𝑝 𝑑𝑝 NUM cana-3879 126 16 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 126 17 ( ( PUNCT cana-3879 126 18 42 42 NUM cana-3879 126 19 ) ) PUNCT cana-3879 126 20 back back ADV cana-3879 126 21 substituting substitute VERB cana-3879 126 22 the the DET cana-3879 126 23 logarithmic logarithmic ADJ cana-3879 126 24 derivatives derivative NOUN cana-3879 126 25 from from ADP cana-3879 126 26 depcik depcik NOUN cana-3879 126 27 model model NOUN cana-3879 127 1 [ [ X cana-3879 127 2 6 6 NUM cana-3879 127 3 ] ] PUNCT cana-3879 127 4 on on ADP cana-3879 127 5 ( ( PUNCT cana-3879 127 6 41 41 NUM cana-3879 127 7 ) ) PUNCT cana-3879 127 8 and and CCONJ cana-3879 127 9 ( ( PUNCT cana-3879 127 10 42 42 NUM cana-3879 127 11 ) ) PUNCT cana-3879 127 12 , , PUNCT cana-3879 127 13 we we PRON cana-3879 127 14 have have VERB cana-3879 127 15 𝑑𝑣𝑏 𝑑𝑣𝑏 NOUN cana-3879 127 16 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 127 17 = = SYM cana-3879 127 18 𝑣𝑏 𝑣𝑏 NUM cana-3879 127 19 𝑇𝑏 𝑇𝑏 ADP cana-3879 127 20 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ ADP cana-3879 127 21 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ NOUN cana-3879 127 22 𝑑𝑇𝑏 𝑑𝑇𝑏 ADJ cana-3879 127 23 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 127 24 + + CCONJ cana-3879 127 25 𝑣𝑏 𝑣𝑏 PROPN cana-3879 127 26 𝑝 𝑝 PRON cana-3879 127 27 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 127 28 πœ•πΌπ‘› πœ•πΌπ‘› NOUN cana-3879 127 29 𝑃 𝑃 VERB cana-3879 127 30 𝑑𝑝 𝑑𝑝 NOUN cana-3879 127 31 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 127 32 ( ( PUNCT cana-3879 127 33 43 43 NUM cana-3879 127 34 ) ) PUNCT cana-3879 127 35 𝑑𝑣𝑒 𝑑𝑣𝑒 NOUN cana-3879 128 1 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 128 2 = = PUNCT cana-3879 128 3 𝑣𝑒 𝑣𝑒 PROPN cana-3879 128 4 𝑇𝑒 𝑇𝑒 PROPN cana-3879 128 5 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 128 6 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ ADP cana-3879 128 7 𝑑𝑇𝑒 𝑑𝑇𝑒 NOUN cana-3879 128 8 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 128 9 + + CCONJ cana-3879 128 10 𝑣𝑒 𝑣𝑒 PROPN cana-3879 128 11 𝑝 𝑝 PROPN cana-3879 128 12 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 128 13 πœ•πΌπ‘› πœ•πΌπ‘› NOUN cana-3879 128 14 𝑃 𝑃 NOUN cana-3879 128 15 𝑑𝑝 𝑑𝑝 NOUN cana-3879 128 16 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 128 17 ( ( PUNCT cana-3879 128 18 44 44 NUM cana-3879 128 19 ) ) PUNCT cana-3879 128 20 similarly similarly ADV cana-3879 129 1 , , PUNCT cana-3879 129 2 the the DET cana-3879 129 3 internal internal ADJ cana-3879 129 4 energies energy NOUN cana-3879 129 5 of of ADP cana-3879 129 6 both both CCONJ cana-3879 129 7 the the DET cana-3879 129 8 burnt burn VERB cana-3879 129 9 and and CCONJ cana-3879 129 10 unburned unburned ADJ cana-3879 129 11 gases gas NOUN cana-3879 129 12 , , PUNCT cana-3879 129 13 under under ADP cana-3879 129 14 the the DET cana-3879 129 15 same same ADJ cana-3879 129 16 pressure pressure NOUN cana-3879 129 17 condition condition NOUN cana-3879 129 18 and and CCONJ cana-3879 129 19 including include VERB cana-3879 129 20 the the DET cana-3879 129 21 logarithmic logarithmic ADJ cana-3879 129 22 derivatives derivative NOUN cana-3879 129 23 can can AUX cana-3879 129 24 be be AUX cana-3879 129 25 written write VERB cana-3879 129 26 as as ADP cana-3879 129 27 𝑑𝑣𝑏 𝑑𝑣𝑏 NOUN cana-3879 129 28 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 129 29 = = SYM cana-3879 129 30 ( ( PUNCT cana-3879 129 31 𝑐𝑝𝑏 𝑐𝑝𝑏 NOUN cana-3879 129 32 βˆ’ βˆ’ PROPN cana-3879 129 33 𝑝𝑣𝑏 𝑝𝑣𝑏 NOUN cana-3879 129 34 𝑇 𝑇 PROPN cana-3879 129 35 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 129 36 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ NOUN cana-3879 129 37 ) ) PUNCT cana-3879 129 38 𝑑𝑇𝑏 𝑑𝑇𝑏 PROPN cana-3879 129 39 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 129 40 βˆ’ βˆ’ NOUN cana-3879 129 41 𝑣𝑏 𝑣𝑏 VERB cana-3879 129 42 ( ( PUNCT cana-3879 129 43 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 129 44 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ PROPN cana-3879 129 45 + + CCONJ cana-3879 129 46 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 129 47 πœ•πΌπ‘› πœ•πΌπ‘› NOUN cana-3879 129 48 𝑃 𝑃 PROPN cana-3879 129 49 ) ) PUNCT cana-3879 129 50 𝑑𝑝 𝑑𝑝 ADP cana-3879 129 51 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 129 52 ( ( PUNCT cana-3879 129 53 45 45 NUM cana-3879 129 54 ) ) PUNCT cana-3879 129 55 𝑑𝑒𝑒 𝑑𝑒𝑒 NOUN cana-3879 129 56 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 129 57 = = SYM cana-3879 129 58 ( ( PUNCT cana-3879 129 59 𝑐𝑝𝑒 𝑐𝑝𝑒 NOUN cana-3879 129 60 βˆ’ βˆ’ NOUN cana-3879 129 61 𝑝𝑣𝑒 𝑝𝑣𝑒 X cana-3879 129 62 𝑇𝑒 𝑇𝑒 X cana-3879 129 63 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 129 64 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ ADV cana-3879 129 65 ) ) PUNCT cana-3879 129 66 𝑑𝑇𝑒 𝑑𝑇𝑒 NOUN cana-3879 129 67 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 129 68 βˆ’ βˆ’ PROPN cana-3879 129 69 𝑣𝑒 𝑣𝑒 NOUN cana-3879 129 70 ( ( PUNCT cana-3879 129 71 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 129 72 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ NOUN cana-3879 129 73 + + CCONJ cana-3879 130 1 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ DET cana-3879 130 2 πœ•πΌπ‘› πœ•πΌπ‘› NOUN cana-3879 130 3 𝑃 𝑃 NOUN cana-3879 130 4 ) ) PUNCT cana-3879 130 5 𝑑𝑝 𝑑𝑝 ADP cana-3879 130 6 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 130 7 ( ( PUNCT cana-3879 130 8 46 46 NUM cana-3879 130 9 ) ) PUNCT cana-3879 130 10 h. h. NOUN cana-3879 130 11 trapped trap VERB cana-3879 130 12 mass mass NOUN cana-3879 130 13 in in ADP cana-3879 130 14 control control NOUN cana-3879 130 15 volume volume NOUN cana-3879 130 16 the the DET cana-3879 130 17 trapped trap VERB cana-3879 130 18 mass mass NOUN cana-3879 130 19 in in ADP cana-3879 130 20 control control NOUN cana-3879 130 21 volume volume NOUN cana-3879 130 22 is be AUX cana-3879 130 23 defined define VERB cana-3879 130 24 at at ADP cana-3879 130 25 various various ADJ cana-3879 130 26 periods period NOUN cana-3879 130 27 by by ADP cana-3879 130 28 [ [ X cana-3879 130 29 4 4 NUM cana-3879 130 30 ] ] X cana-3879 130 31 π‘“π‘œπ‘Ÿ π‘“π‘œπ‘Ÿ ADV cana-3879 130 32 πœƒπΌπ‘‰πΆ πœƒπΌπ‘‰πΆ X cana-3879 130 33 β‰₯ β‰₯ NUM cana-3879 130 34 πœƒ πœƒ PRON cana-3879 130 35 β‰₯ β‰₯ NOUN cana-3879 130 36 βˆ’360 βˆ’360 NOUN cana-3879 130 37 Β° Β° ADP cana-3879 130 38 𝐢𝐴 𝐢𝐴 PROPN cana-3879 130 39 ( ( PUNCT cana-3879 130 40 π‘–π‘›π‘‘π‘Žπ‘˜π‘’ π‘–π‘›π‘‘π‘Žπ‘˜π‘’ NOUN cana-3879 130 41 ) ) PUNCT cana-3879 130 42 π‘š π‘š NOUN cana-3879 130 43 = = PUNCT cana-3879 130 44 𝑉(πœƒ 𝑉(πœƒ X cana-3879 130 45 ) ) PUNCT cana-3879 130 46 𝑣𝑒 𝑣𝑒 NOUN cana-3879 130 47 ( ( PUNCT cana-3879 130 48 47 47 NUM cana-3879 130 49 ) ) PUNCT cana-3879 130 50 π‘“π‘œπ‘Ÿ π‘“π‘œπ‘Ÿ ADV cana-3879 130 51 πœƒπΈπ‘‰π‘‚ πœƒπΈπ‘‰π‘‚ VERB cana-3879 130 52 β‰₯ β‰₯ PROPN cana-3879 130 53 πœƒ πœƒ DET cana-3879 130 54 β‰₯ β‰₯ NOUN cana-3879 130 55 πœƒπΌπ‘‰πΆ πœƒπΌπ‘‰πΆ X cana-3879 130 56 ( ( PUNCT cana-3879 130 57 π‘£π‘Žπ‘™π‘£π‘’ π‘£π‘Žπ‘™π‘£π‘’ NOUN cana-3879 130 58 βˆ’ βˆ’ NOUN cana-3879 130 59 π‘π‘™π‘œπ‘ π‘’π‘‘ π‘π‘™π‘œπ‘ π‘’π‘‘ NOUN cana-3879 130 60 ) ) PUNCT cana-3879 130 61 π‘š π‘š X cana-3879 130 62 = = PUNCT cana-3879 130 63 π‘šπΌπ‘‰πΆπ‘’ π‘šπΌπ‘‰πΆπ‘’ NOUN cana-3879 130 64 βˆ’π‘π‘(πœƒβˆ’πœƒπΌπ‘‰πΆ βˆ’π‘π‘(πœƒβˆ’πœƒπΌπ‘‰πΆ NUM cana-3879 130 65 ) ) PUNCT cana-3879 131 1 πœ”β„ πœ”β„ PROPN cana-3879 131 2 ( ( PUNCT cana-3879 131 3 48 48 NUM cana-3879 131 4 ) ) PUNCT cana-3879 131 5 communications communication NOUN cana-3879 131 6 on on ADP cana-3879 131 7 applied apply VERB cana-3879 131 8 nonlinear nonlinear ADJ cana-3879 131 9 analysis analysis NOUN cana-3879 131 10 issn issn NOUN cana-3879 131 11 : : PUNCT cana-3879 131 12 1074 1074 NUM cana-3879 131 13 - - PUNCT cana-3879 131 14 133x 133x NUM cana-3879 131 15 vol vol NOUN cana-3879 131 16 32 32 NUM cana-3879 131 17 no no NOUN cana-3879 131 18 . . PUNCT cana-3879 132 1 9s 9s NUM cana-3879 132 2 ( ( PUNCT cana-3879 132 3 2025 2025 NUM cana-3879 132 4 ) ) PUNCT cana-3879 132 5 321 321 NUM cana-3879 132 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 132 7 π‘“π‘œπ‘Ÿ π‘“π‘œπ‘Ÿ ADV cana-3879 132 8 360 360 NUM cana-3879 132 9 Β° Β° PRON cana-3879 132 10 𝐢𝐴 𝐢𝐴 PROPN cana-3879 132 11 β‰₯ β‰₯ NUM cana-3879 132 12 πœƒ πœƒ NUM cana-3879 132 13 β‰₯ β‰₯ NOUN cana-3879 132 14 πœƒπΈπ‘‰π‘‚ πœƒπΈπ‘‰π‘‚ SYM cana-3879 132 15 ( ( PUNCT cana-3879 132 16 π΅π‘™π‘œπ‘€π‘‘π‘œπ‘€π‘› π΅π‘™π‘œπ‘€π‘‘π‘œπ‘€π‘› PROPN cana-3879 132 17 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ cana-3879 132 18 𝑒π‘₯β„Žπ‘Žπ‘’π‘ π‘‘ 𝑒π‘₯β„Žπ‘Žπ‘’π‘ π‘‘ ADV cana-3879 132 19 ) ) PUNCT cana-3879 133 1 π‘š π‘š PROPN cana-3879 133 2 = = SYM cana-3879 133 3 𝑉(πœƒ 𝑉(πœƒ X cana-3879 133 4 ) ) PUNCT cana-3879 133 5 𝑣𝑏 𝑣𝑏 PROPN cana-3879 133 6 ( ( PUNCT cana-3879 133 7 49 49 NUM cana-3879 133 8 ) ) PUNCT cana-3879 133 9 ivc ivc PROPN cana-3879 133 10 refers refer VERB cana-3879 133 11 to to ADP cana-3879 133 12 intake intake ADJ cana-3879 133 13 valve valve NOUN cana-3879 133 14 open open ADJ cana-3879 133 15 and and CCONJ cana-3879 133 16 evo evo PROPN cana-3879 133 17 refers refer VERB cana-3879 133 18 to to ADP cana-3879 133 19 exhaust exhaust NOUN cana-3879 133 20 valve valve NOUN cana-3879 133 21 open open ADJ cana-3879 133 22 . . PUNCT cana-3879 134 1 the the DET cana-3879 134 2 volume volume NOUN cana-3879 134 3 of of ADP cana-3879 134 4 the the DET cana-3879 134 5 cylinder cylinder NOUN cana-3879 134 6 at at ADP cana-3879 134 7 any any DET cana-3879 134 8 crank crank NOUN cana-3879 134 9 angle angle NOUN cana-3879 134 10 instant instant NOUN cana-3879 134 11 is be AUX cana-3879 134 12 given give VERB cana-3879 134 13 by by ADP cana-3879 134 14 [ [ X cana-3879 134 15 7 7 NUM cana-3879 134 16 ] ] X cana-3879 134 17 𝑉(πœƒ 𝑉(πœƒ NUM cana-3879 134 18 ) ) PUNCT cana-3879 134 19 = = PUNCT cana-3879 135 1 𝑉𝑐 𝑉𝑐 PROPN cana-3879 135 2 { { PUNCT cana-3879 135 3 1 1 NUM cana-3879 135 4 + + NUM cana-3879 135 5 π‘Ÿ π‘Ÿ NOUN cana-3879 135 6 βˆ’ βˆ’ PROPN cana-3879 135 7 1 1 NUM cana-3879 135 8 2 2 NUM cana-3879 135 9 { { PUNCT cana-3879 135 10 1 1 NUM cana-3879 135 11 βˆ’ βˆ’ PROPN cana-3879 135 12 π‘π‘œπ‘ πœƒ π‘π‘œπ‘ πœƒ NOUN cana-3879 135 13 + + CCONJ cana-3879 135 14 1 1 NUM cana-3879 135 15 νœ€ νœ€ NOUN cana-3879 135 16 [ [ X cana-3879 135 17 1 1 NUM cana-3879 135 18 βˆ’ βˆ’ NOUN cana-3879 135 19 ( ( PUNCT cana-3879 135 20 1 1 NUM cana-3879 135 21 βˆ’ βˆ’ PROPN cana-3879 135 22 πœ–2𝑠𝑖𝑛2πœƒ)0.5 πœ–2𝑠𝑖𝑛2πœƒ)0.5 NOUN cana-3879 135 23 ] ] PUNCT cana-3879 135 24 } } PUNCT cana-3879 135 25 } } PUNCT cana-3879 135 26 ( ( PUNCT cana-3879 135 27 50 50 NUM cana-3879 135 28 ) ) PUNCT cana-3879 136 1 𝑉𝑐 𝑉𝑐 PROPN cana-3879 136 2 is be AUX cana-3879 136 3 clearance clearance NOUN cana-3879 136 4 volume volume NOUN cana-3879 136 5 , , PUNCT cana-3879 136 6 r r NOUN cana-3879 136 7 is be AUX cana-3879 136 8 the the DET cana-3879 136 9 compression compression NOUN cana-3879 136 10 ratio ratio NOUN cana-3879 136 11 and and CCONJ cana-3879 136 12 πœ– πœ– X cana-3879 136 13 = = NOUN cana-3879 136 14 stroke stroke NOUN cana-3879 136 15 2x 2x NUM cana-3879 136 16 length length NOUN cana-3879 136 17 of of ADP cana-3879 136 18 connecting connect VERB cana-3879 136 19 rod rod NOUN cana-3879 136 20 i. i. NOUN cana-3879 136 21 fuel fuel NOUN cana-3879 136 22 burning burn VERB cana-3879 136 23 rate rate NOUN cana-3879 136 24 model model NOUN cana-3879 136 25 many many ADJ cana-3879 136 26 experiments experiment NOUN cana-3879 136 27 show show VERB cana-3879 136 28 that that SCONJ cana-3879 136 29 the the DET cana-3879 136 30 burning burn VERB cana-3879 136 31 rate rate NOUN cana-3879 136 32 depends depend VERB cana-3879 136 33 mostly mostly ADV cana-3879 136 34 on on ADP cana-3879 136 35 the the DET cana-3879 136 36 combustion combustion NOUN cana-3879 136 37 chamber chamber NOUN cana-3879 136 38 shape shape NOUN cana-3879 136 39 and and CCONJ cana-3879 136 40 the the DET cana-3879 136 41 position position NOUN cana-3879 136 42 of of ADP cana-3879 136 43 the the DET cana-3879 136 44 spark spark NOUN cana-3879 136 45 plug plug NOUN cana-3879 136 46 . . PUNCT cana-3879 137 1 the the DET cana-3879 137 2 wiebe wiebe PROPN cana-3879 137 3 function function NOUN cana-3879 137 4 represent represent VERB cana-3879 137 5 the the DET cana-3879 137 6 mass mass ADJ cana-3879 137 7 fraction fraction NOUN cana-3879 137 8 burned burn VERB cana-3879 137 9 , , PUNCT cana-3879 137 10 π‘₯𝑏 π‘₯𝑏 ADV cana-3879 137 11 versus versus ADP cana-3879 137 12 crank crank NOUN cana-3879 137 13 angle angle NOUN cana-3879 137 14 and and CCONJ cana-3879 137 15 defined define VERB cana-3879 137 16 as as ADP cana-3879 137 17 [ [ X cana-3879 137 18 10 10 NUM cana-3879 137 19 ] ] SYM cana-3879 137 20 π‘₯𝑏(πœƒ π‘₯𝑏(πœƒ NOUN cana-3879 137 21 ) ) PUNCT cana-3879 137 22 = = SYM cana-3879 137 23 1 1 NUM cana-3879 137 24 βˆ’ βˆ’ NOUN cana-3879 137 25 𝑒π‘₯𝑝{βˆ’π‘Ž[(πœƒ 𝑒π‘₯𝑝{βˆ’π‘Ž[(πœƒ NOUN cana-3879 137 26 βˆ’ βˆ’ NOUN cana-3879 137 27 πœƒ0 πœƒ0 PROPN cana-3879 137 28 ) ) PUNCT cana-3879 137 29 βˆ†πœƒβ„ βˆ†πœƒβ„ VERB cana-3879 137 30 ] ] PUNCT cana-3879 137 31 π‘š+1 π‘š+1 NUM cana-3879 137 32 } } PUNCT cana-3879 137 33 ( ( PUNCT cana-3879 137 34 51 51 NUM cana-3879 137 35 ) ) PUNCT cana-3879 137 36 the the DET cana-3879 137 37 present present ADJ cana-3879 137 38 simulation simulation NOUN cana-3879 137 39 uses use VERB cana-3879 137 40 a=5 a=5 PROPN cana-3879 137 41 and and CCONJ cana-3879 137 42 m=2 m=2 PROPN cana-3879 138 1 [ [ X cana-3879 138 2 10 10 NUM cana-3879 138 3 ] ] PUNCT cana-3879 138 4 . . PUNCT cana-3879 139 1 this this DET cana-3879 139 2 model model NOUN cana-3879 139 3 is be AUX cana-3879 139 4 capable capable ADJ cana-3879 139 5 of of ADP cana-3879 139 6 representing represent VERB cana-3879 139 7 many many ADJ cana-3879 139 8 combustion combustion NOUN cana-3879 139 9 chamber chamber NOUN cana-3879 139 10 shapes shape NOUN cana-3879 139 11 with with ADP cana-3879 139 12 different different ADJ cana-3879 139 13 positions position NOUN cana-3879 139 14 of of ADP cana-3879 139 15 spark spark NOUN cana-3879 139 16 plugs plug NOUN cana-3879 139 17 by by ADP cana-3879 139 18 adjusting adjust VERB cana-3879 139 19 a a PRON cana-3879 139 20 and and CCONJ cana-3879 139 21 m. m. VERB cana-3879 139 22 the the DET cana-3879 139 23 constant constant ADJ cana-3879 139 24 a a PRON cana-3879 139 25 is be AUX cana-3879 139 26 responsible responsible ADJ cana-3879 139 27 for for ADP cana-3879 139 28 maximum maximum ADJ cana-3879 139 29 value value NOUN cana-3879 139 30 of of ADP cana-3879 139 31 xb xb PROPN cana-3879 139 32 which which PRON cana-3879 139 33 is be AUX cana-3879 139 34 unity unity NOUN cana-3879 139 35 [ [ X cana-3879 139 36 12 12 NUM cana-3879 139 37 ] ] PUNCT cana-3879 139 38 . . PUNCT cana-3879 140 1 hence hence ADV cana-3879 140 2 a a PRON cana-3879 140 3 may may AUX cana-3879 140 4 represent represent VERB cana-3879 140 5 the the DET cana-3879 140 6 positions position NOUN cana-3879 140 7 and/or and/or CCONJ cana-3879 140 8 number number NOUN cana-3879 140 9 of of ADP cana-3879 140 10 spark spark NOUN cana-3879 140 11 plugs plug NOUN cana-3879 140 12 . . PUNCT cana-3879 141 1 by by ADP cana-3879 141 2 varying vary VERB cana-3879 141 3 m m PROPN cana-3879 141 4 , , PUNCT cana-3879 141 5 he he PRON cana-3879 141 6 observed observe VERB cana-3879 141 7 the the DET cana-3879 141 8 starting starting NOUN cana-3879 141 9 point point NOUN cana-3879 141 10 and and CCONJ cana-3879 141 11 end end VERB cana-3879 141 12 point point NOUN cana-3879 141 13 of of ADP cana-3879 141 14 xb xb PROPN cana-3879 141 15 are be AUX cana-3879 141 16 independent independent ADJ cana-3879 141 17 of of ADP cana-3879 141 18 m. m. NOUN cana-3879 141 19 hence hence ADV cana-3879 141 20 even even ADV cana-3879 141 21 though though ADV cana-3879 141 22 , , PUNCT cana-3879 141 23 for for ADP cana-3879 141 24 a a DET cana-3879 141 25 particular particular ADJ cana-3879 141 26 a a NOUN cana-3879 141 27 , , PUNCT cana-3879 141 28 the the DET cana-3879 141 29 amount amount NOUN cana-3879 141 30 of of ADP cana-3879 141 31 burned burn VERB cana-3879 141 32 mass mass NOUN cana-3879 141 33 fraction fraction NOUN cana-3879 141 34 xb xb PROPN cana-3879 141 35 is be AUX cana-3879 141 36 independent independent ADJ cana-3879 141 37 of of ADP cana-3879 141 38 m m PROPN cana-3879 141 39 , , PUNCT cana-3879 141 40 its its PRON cana-3879 141 41 rate rate NOUN cana-3879 141 42 closely closely ADV cana-3879 141 43 depends depend VERB cana-3879 141 44 on on ADP cana-3879 141 45 m. m. NOUN cana-3879 141 46 hence hence ADV cana-3879 141 47 as as SCONJ cana-3879 141 48 m m NOUN cana-3879 141 49 increases increase NOUN cana-3879 141 50 , , PUNCT cana-3879 141 51 xb xb PROPN cana-3879 141 52 is be AUX cana-3879 141 53 found find VERB cana-3879 141 54 to to PART cana-3879 141 55 decrease decrease VERB cana-3879 141 56 and and CCONJ cana-3879 141 57 hence hence ADV cana-3879 141 58 m m VERB cana-3879 141 59 may may AUX cana-3879 141 60 represent represent VERB cana-3879 141 61 combustion combustion NOUN cana-3879 141 62 chamber chamber NOUN cana-3879 141 63 shape shape NOUN cana-3879 141 64 - - PUNCT cana-3879 141 65 factor factor NOUN cana-3879 141 66 . . PUNCT cana-3879 142 1 j. j. PROPN cana-3879 142 2 heat heat PROPN cana-3879 142 3 transfer transfer NOUN cana-3879 142 4 model model NOUN cana-3879 142 5 heat heat NOUN cana-3879 142 6 transfer transfer NOUN cana-3879 142 7 into into ADP cana-3879 142 8 a a DET cana-3879 142 9 thermodynamic thermodynamic ADJ cana-3879 142 10 system system NOUN cana-3879 142 11 is be AUX cana-3879 142 12 expressed express VERB cana-3879 142 13 in in ADP cana-3879 142 14 terms term NOUN cana-3879 142 15 of of ADP cana-3879 142 16 heat heat NOUN cana-3879 142 17 loss loss NOUN cana-3879 142 18 𝑑𝑄 𝑑𝑄 NOUN cana-3879 142 19 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 142 20 = = SYM cana-3879 142 21 βˆ’π‘„1 βˆ’π‘„1 PRON cana-3879 142 22 πœ” πœ” PROPN cana-3879 142 23 = = ADJ cana-3879 142 24 𝑄 𝑄 PROPN cana-3879 142 25 οΏ½ οΏ½ PROPN cana-3879 142 26 Μ‡ Μ‡ VERB cana-3879 142 27 οΏ½ οΏ½ PROPN cana-3879 142 28 βˆ’ βˆ’ PROPN cana-3879 142 29 𝑄 𝑄 PROPN cana-3879 142 30 οΏ½ οΏ½ PROPN cana-3879 142 31 Μ‡ Μ‡ VERB cana-3879 142 32 οΏ½ οΏ½ PROPN cana-3879 142 33 πœ” πœ” X cana-3879 142 34 ( ( PUNCT cana-3879 142 35 52 52 NUM cana-3879 142 36 ) ) PUNCT cana-3879 142 37 where where SCONJ cana-3879 142 38 𝑄 𝑄 PROPN cana-3879 142 39 οΏ½ οΏ½ NOUN cana-3879 142 40 Μ‡ Μ‡ VERB cana-3879 142 41 οΏ½ οΏ½ PROPN cana-3879 142 42 = = PUNCT cana-3879 142 43 β„Ž β„Ž PROPN cana-3879 142 44 βˆ‘ βˆ‘ PROPN cana-3879 142 45 𝐴𝑏𝑖(𝑇𝑏 𝐴𝑏𝑖(𝑇𝑏 PROPN cana-3879 142 46 βˆ’ βˆ’ PROPN cana-3879 142 47 𝑇𝑀𝑖 𝑇𝑀𝑖 PROPN cana-3879 142 48 ) ) PUNCT cana-3879 142 49 𝑖=β„Ž,𝑝,𝑙 𝑖=β„Ž,𝑝,𝑙 ADJ cana-3879 142 50 ( ( PUNCT cana-3879 142 51 53 53 NUM cana-3879 142 52 ) ) PUNCT cana-3879 142 53 𝑄 𝑄 PROPN cana-3879 142 54 οΏ½ οΏ½ NOUN cana-3879 142 55 Μ‡ Μ‡ VERB cana-3879 142 56 οΏ½ οΏ½ PROPN cana-3879 142 57 = = PUNCT cana-3879 142 58 β„Ž β„Ž X cana-3879 142 59 βˆ‘ βˆ‘ PUNCT cana-3879 142 60 𝐴𝑒𝑖(𝑇𝑒 𝐴𝑒𝑖(𝑇𝑒 PROPN cana-3879 142 61 βˆ’ βˆ’ PROPN cana-3879 142 62 𝑇𝑀𝑖 𝑇𝑀𝑖 PROPN cana-3879 142 63 ) ) PUNCT cana-3879 142 64 𝑖=β„Ž,𝑝,𝑙 𝑖=β„Ž,𝑝,𝑙 ADJ cana-3879 142 65 ( ( PUNCT cana-3879 142 66 54 54 NUM cana-3879 142 67 ) ) PUNCT cana-3879 142 68 communications communication NOUN cana-3879 142 69 on on ADP cana-3879 142 70 applied apply VERB cana-3879 142 71 nonlinear nonlinear ADJ cana-3879 142 72 analysis analysis NOUN cana-3879 142 73 issn issn NOUN cana-3879 142 74 : : PUNCT cana-3879 142 75 1074 1074 NUM cana-3879 142 76 - - PUNCT cana-3879 142 77 133x 133x NUM cana-3879 142 78 vol vol NOUN cana-3879 142 79 32 32 NUM cana-3879 143 1 no no NOUN cana-3879 143 2 . . PUNCT cana-3879 144 1 9s 9s NUM cana-3879 144 2 ( ( PUNCT cana-3879 144 3 2025 2025 NUM cana-3879 144 4 ) ) PUNCT cana-3879 144 5 322 322 NUM cana-3879 144 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 144 7 here here ADV cana-3879 144 8 𝐴𝑏𝑖 𝐴𝑏𝑖 PROPN cana-3879 144 9 and and CCONJ cana-3879 144 10 𝐴𝑒𝑖are 𝐴𝑒𝑖are VERB cana-3879 144 11 the the DET cana-3879 144 12 areas area NOUN cana-3879 144 13 of of ADP cana-3879 144 14 burnt burn VERB cana-3879 144 15 and and CCONJ cana-3879 144 16 unburned unburned ADJ cana-3879 144 17 gases gas NOUN cana-3879 144 18 in in ADP cana-3879 144 19 contact contact NOUN cana-3879 144 20 with with ADP cana-3879 144 21 the the DET cana-3879 144 22 combustion combustion NOUN cana-3879 144 23 chamber chamber NOUN cana-3879 144 24 component component NOUN cana-3879 144 25 at at ADP cana-3879 144 26 temperature temperature NOUN cana-3879 144 27 𝑇𝑀𝑖and 𝑇𝑀𝑖and PROPN cana-3879 144 28 subscripts subscript VERB cana-3879 144 29 h h NOUN cana-3879 144 30 , , PUNCT cana-3879 144 31 p p X cana-3879 144 32 , , PUNCT cana-3879 144 33 l l NOUN cana-3879 144 34 refers refer VERB cana-3879 144 35 to to ADP cana-3879 144 36 cylinder cylinder NOUN cana-3879 144 37 head head NOUN cana-3879 144 38 , , PUNCT cana-3879 144 39 piston piston NOUN cana-3879 144 40 crown crown NOUN cana-3879 144 41 and and CCONJ cana-3879 144 42 liner liner NOUN cana-3879 144 43 , , PUNCT cana-3879 144 44 respectively respectively ADV cana-3879 144 45 . . PUNCT cana-3879 145 1 we we PRON cana-3879 145 2 have have VERB cana-3879 145 3 the the DET cana-3879 145 4 following follow VERB cana-3879 145 5 relations relation NOUN cana-3879 145 6 [ [ X cana-3879 145 7 7 7 NUM cana-3879 145 8 ] ] X cana-3879 145 9 𝐴𝑏𝑖 𝐴𝑏𝑖 PROPN cana-3879 145 10 = = SYM cana-3879 145 11 𝐴𝑖π‘₯ 𝐴𝑖π‘₯ PROPN cana-3879 145 12 0.5 0.5 NUM cana-3879 145 13 ( ( PUNCT cana-3879 145 14 55 55 NUM cana-3879 145 15 ) ) PUNCT cana-3879 145 16 𝐴𝑒𝑖 𝐴𝑒𝑖 PROPN cana-3879 145 17 = = PUNCT cana-3879 145 18 𝐴𝑖(1 𝐴𝑖(1 VERB cana-3879 145 19 βˆ’ βˆ’ PROPN cana-3879 145 20 π‘₯0.5 π‘₯0.5 NOUN cana-3879 145 21 ) ) PUNCT cana-3879 145 22 ( ( PUNCT cana-3879 145 23 56 56 NUM cana-3879 145 24 ) ) PUNCT cana-3879 145 25 π΄β„Ž π΄β„Ž PROPN cana-3879 145 26 = = PUNCT cana-3879 145 27 πœ‹π‘2 πœ‹π‘2 NOUN cana-3879 145 28 2 2 NUM cana-3879 145 29 ( ( PUNCT cana-3879 145 30 hemispherical hemispherical ADJ cana-3879 145 31 cylinder cylinder NOUN cana-3879 145 32 head head NOUN cana-3879 145 33 ) ) PUNCT cana-3879 145 34 ( ( PUNCT cana-3879 145 35 57 57 NUM cana-3879 145 36 ) ) PUNCT cana-3879 145 37 𝐴𝑝 𝐴𝑝 NOUN cana-3879 145 38 = = PUNCT cana-3879 145 39 πœ‹π‘2 πœ‹π‘2 NOUN cana-3879 145 40 4 4 NUM cana-3879 145 41 ( ( PUNCT cana-3879 145 42 flat flat ADJ cana-3879 145 43 piston piston NOUN cana-3879 145 44 crown crown NOUN cana-3879 145 45 ) ) PUNCT cana-3879 145 46 ( ( PUNCT cana-3879 145 47 58 58 X cana-3879 145 48 ) ) PUNCT cana-3879 145 49 𝐴𝑙 𝐴𝑙 NOUN cana-3879 145 50 = = SYM cana-3879 145 51 4𝑉(πœƒ 4𝑉(πœƒ NUM cana-3879 145 52 ) ) PUNCT cana-3879 146 1 𝑏 𝑏 PROPN cana-3879 146 2 ( ( PUNCT cana-3879 146 3 linear linear PROPN cana-3879 146 4 surface surface NOUN cana-3879 146 5 area area NOUN cana-3879 146 6 exposed expose VERB cana-3879 146 7 to to ADP cana-3879 146 8 gases gas NOUN cana-3879 146 9 ) ) PUNCT cana-3879 146 10 ( ( PUNCT cana-3879 146 11 59 59 NUM cana-3879 146 12 ) ) PUNCT cana-3879 146 13 subscript subscript NOUN cana-3879 146 14 i i PRON cana-3879 146 15 refers refer VERB cana-3879 146 16 to to ADP cana-3879 146 17 intake intake NOUN cana-3879 146 18 . . PUNCT cana-3879 147 1 k. k. PROPN cana-3879 147 2 heat heat PROPN cana-3879 147 3 transfer transfer NOUN cana-3879 147 4 correlation correlation NOUN cana-3879 147 5 in in ADP cana-3879 147 6 ( ( PUNCT cana-3879 147 7 53 53 NUM cana-3879 147 8 ) ) PUNCT cana-3879 147 9 and and CCONJ cana-3879 147 10 ( ( PUNCT cana-3879 147 11 54 54 NUM cana-3879 147 12 ) ) PUNCT cana-3879 148 1 , , PUNCT cana-3879 148 2 h h NOUN cana-3879 148 3 is be AUX cana-3879 148 4 the the DET cana-3879 148 5 instantaneous instantaneous ADJ cana-3879 148 6 heat heat NOUN cana-3879 148 7 transfer transfer NOUN cana-3879 148 8 coefficient coefficient NOUN cana-3879 148 9 . . PUNCT cana-3879 149 1 woschni woschni PROPN cana-3879 149 2 proposed propose VERB cana-3879 149 3 a a DET cana-3879 149 4 correlation correlation NOUN cana-3879 149 5 of of ADP cana-3879 149 6 the the DET cana-3879 149 7 form form NOUN cana-3879 149 8 [ [ X cana-3879 149 9 18 18 NUM cana-3879 149 10 ] ] X cana-3879 149 11 nu nu PROPN cana-3879 149 12 = = SYM cana-3879 149 13 0.035 0.035 NUM cana-3879 149 14 re0.8 re0.8 PRON cana-3879 149 15 ( ( PUNCT cana-3879 149 16 60 60 NUM cana-3879 149 17 ) ) PUNCT cana-3879 149 18 where where SCONJ cana-3879 149 19 nu nu PROPN cana-3879 149 20 is be AUX cana-3879 149 21 nusselt nusselt NOUN cana-3879 149 22 number number NOUN cana-3879 149 23 and and CCONJ cana-3879 149 24 re re NOUN cana-3879 149 25 is be AUX cana-3879 149 26 reynolds reynolds PROPN cana-3879 149 27 number number NOUN cana-3879 149 28 . . PUNCT cana-3879 150 1 now now ADV cana-3879 150 2 , , PUNCT cana-3879 150 3 assuming assume VERB cana-3879 150 4 a a DET cana-3879 150 5 local local ADJ cana-3879 150 6 average average ADJ cana-3879 150 7 gas gas NOUN cana-3879 150 8 velocity velocity NOUN cana-3879 150 9 in in ADP cana-3879 150 10 the the DET cana-3879 150 11 cylinder cylinder NOUN cana-3879 150 12 , , PUNCT cana-3879 150 13 becomes become VERB cana-3879 150 14 β„Ž β„Ž PROPN cana-3879 150 15 = = SYM cana-3879 150 16 0.82π‘βˆ’0.2(𝑝. 0.82π‘βˆ’0.2(𝑝. NUM cana-3879 150 17 10βˆ’3 10βˆ’3 NUM cana-3879 150 18 . . PUNCT cana-3879 151 1 𝑐)0.8π‘‡βˆ’0.53 𝑐)0.8π‘‡βˆ’0.53 NOUN cana-3879 151 2 ( ( PUNCT cana-3879 151 3 61 61 NUM cana-3879 151 4 ) ) PUNCT cana-3879 151 5 whre whre PROPN cana-3879 151 6 h h PROPN cana-3879 151 7 is be AUX cana-3879 151 8 the the DET cana-3879 151 9 heat heat NOUN cana-3879 151 10 transfer transfer NOUN cana-3879 151 11 coefficient coefficient NOUN cana-3879 151 12 , , PUNCT cana-3879 151 13 p p NOUN cana-3879 151 14 is be AUX cana-3879 151 15 pressure pressure NOUN cana-3879 151 16 . . PUNCT cana-3879 152 1 c c X cana-3879 152 2 = = PUNCT cana-3879 152 3 6.18 6.18 NUM cana-3879 152 4 cm cm NOUN cana-3879 152 5 ( ( PUNCT cana-3879 152 6 for for ADP cana-3879 152 7 gas gas NOUN cana-3879 152 8 exchange exchange NOUN cana-3879 152 9 process process NOUN cana-3879 152 10 ) ) PUNCT cana-3879 152 11 ( ( PUNCT cana-3879 152 12 62 62 NUM cana-3879 152 13 ) ) PUNCT cana-3879 152 14 𝑇π‘₯𝑇𝑏(1π‘₯)𝑇𝑒 𝑇π‘₯𝑇𝑏(1π‘₯)𝑇𝑒 NOUN cana-3879 152 15 ( ( PUNCT cana-3879 152 16 63 63 NUM cana-3879 152 17 ) ) PUNCT cana-3879 152 18 l. l. PROPN cana-3879 152 19 blowby blowby PROPN cana-3879 152 20 energy energy PROPN cana-3879 152 21 loss loss NOUN cana-3879 152 22 enthalpy enthalpy NOUN cana-3879 152 23 loss loss NOUN cana-3879 152 24 due due ADJ cana-3879 152 25 to to ADP cana-3879 152 26 blowby blowby PROPN cana-3879 152 27 is be AUX cana-3879 152 28 expressed express VERB cana-3879 152 29 as as ADP cana-3879 152 30 [ [ X cana-3879 152 31 7 7 NUM cana-3879 152 32 ] ] X cana-3879 152 33 β„Ž1 β„Ž1 PROPN cana-3879 152 34 = = PUNCT cana-3879 152 35 ( ( PUNCT cana-3879 152 36 1 1 NUM cana-3879 152 37 βˆ’ βˆ’ PROPN cana-3879 152 38 π‘₯2)β„Žπ‘’ π‘₯2)β„Žπ‘’ PROPN cana-3879 152 39 + + NOUN cana-3879 152 40 π‘₯2β„Žπ‘ π‘₯2β„Žπ‘ PUNCT cana-3879 152 41 ( ( PUNCT cana-3879 152 42 64 64 NUM cana-3879 152 43 ) ) PUNCT cana-3879 152 44 which which PRON cana-3879 152 45 indicates indicate VERB cana-3879 152 46 that that SCONJ cana-3879 152 47 more more ADJ cana-3879 152 48 leaking leaking NOUN cana-3879 152 49 is be AUX cana-3879 152 50 due due ADJ cana-3879 152 51 to to ADP cana-3879 152 52 the the DET cana-3879 152 53 unburned unburned ADJ cana-3879 152 54 gas gas NOUN cana-3879 152 55 compared compare VERB cana-3879 152 56 with with ADP cana-3879 152 57 the the DET cana-3879 152 58 burnt burn VERB cana-3879 152 59 gas gas NOUN cana-3879 152 60 in in ADP cana-3879 152 61 the the DET cana-3879 152 62 early early ADJ cana-3879 152 63 stage stage NOUN cana-3879 152 64 of of ADP cana-3879 152 65 combustion combustion NOUN cana-3879 152 66 . . PUNCT cana-3879 153 1 m. m. NOUN cana-3879 153 2 principle principle NOUN cana-3879 153 3 governing govern VERB cana-3879 153 4 equations equation NOUN cana-3879 153 5 differentiating differentiate VERB cana-3879 153 6 ( ( PUNCT cana-3879 153 7 40 40 NUM cana-3879 153 8 ) ) PUNCT cana-3879 153 9 with with ADP cana-3879 153 10 respect respect NOUN cana-3879 153 11 to to ADP cana-3879 153 12 crank crank NOUN cana-3879 153 13 angle angle NOUN cana-3879 153 14 and and CCONJ cana-3879 153 15 also also ADV cana-3879 153 16 considering consider VERB cana-3879 153 17 ( ( PUNCT cana-3879 153 18 43 43 NUM cana-3879 153 19 ) ) PUNCT cana-3879 153 20 and and CCONJ cana-3879 153 21 ( ( PUNCT cana-3879 153 22 44 44 NUM cana-3879 153 23 ) ) PUNCT cana-3879 153 24 , , PUNCT cana-3879 153 25 we we PRON cana-3879 153 26 have have VERB cana-3879 153 27 [ [ X cana-3879 153 28 7 7 NUM cana-3879 153 29 ] ] ADJ cana-3879 153 30 communications communication NOUN cana-3879 153 31 on on ADP cana-3879 153 32 applied apply VERB cana-3879 153 33 nonlinear nonlinear ADJ cana-3879 153 34 analysis analysis NOUN cana-3879 153 35 issn issn NOUN cana-3879 153 36 : : PUNCT cana-3879 153 37 1074 1074 NUM cana-3879 153 38 - - PUNCT cana-3879 153 39 133x 133x NUM cana-3879 153 40 vol vol NOUN cana-3879 153 41 32 32 NUM cana-3879 153 42 no no NOUN cana-3879 153 43 . . PUNCT cana-3879 154 1 9s 9s NUM cana-3879 154 2 ( ( PUNCT cana-3879 154 3 2025 2025 NUM cana-3879 154 4 ) ) PUNCT cana-3879 154 5 323 323 NUM cana-3879 154 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 154 7 1 1 NUM cana-3879 154 8 π‘š π‘š NOUN cana-3879 154 9 𝑑𝑉 𝑑𝑉 ADP cana-3879 154 10 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 154 11 + + NUM cana-3879 154 12 𝑉𝐢𝑏 𝑉𝐢𝑏 VERB cana-3879 154 13 π‘šπœ” π‘šπœ” NOUN cana-3879 154 14 = = PUNCT cana-3879 154 15 π‘₯ π‘₯ ADP cana-3879 154 16 𝑣𝑏 𝑣𝑏 NOUN cana-3879 154 17 𝑇𝑏 𝑇𝑏 ADP cana-3879 154 18 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ ADP cana-3879 154 19 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ NOUN cana-3879 154 20 𝑑𝑇𝑏 𝑑𝑇𝑏 ADJ cana-3879 154 21 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 154 22 + + CCONJ cana-3879 154 23 ( ( PUNCT cana-3879 154 24 1 1 NUM cana-3879 154 25 βˆ’ βˆ’ PROPN cana-3879 154 26 π‘₯ π‘₯ NOUN cana-3879 154 27 ) ) PUNCT cana-3879 154 28 𝑣𝑒 𝑣𝑒 NOUN cana-3879 154 29 𝑇𝑒 𝑇𝑒 PROPN cana-3879 154 30 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 154 31 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ ADP cana-3879 154 32 𝑑𝑇𝑒 𝑑𝑇𝑒 NOUN cana-3879 154 33 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 155 1 + + PUNCT cana-3879 156 1 [ [ X cana-3879 156 2 π‘₯ π‘₯ X cana-3879 156 3 𝑣𝑏 𝑣𝑏 VERB cana-3879 156 4 𝑃 𝑃 VERB cana-3879 156 5 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PRON cana-3879 156 6 πœ•πΌπ‘›π‘ƒ πœ•πΌπ‘›π‘ƒ PUNCT cana-3879 156 7 + + PUNCT cana-3879 156 8 ( ( PUNCT cana-3879 156 9 1 1 NUM cana-3879 156 10 βˆ’ βˆ’ PROPN cana-3879 156 11 π‘₯ π‘₯ NOUN cana-3879 156 12 ) ) PUNCT cana-3879 156 13 𝑣𝑒 𝑣𝑒 NOUN cana-3879 156 14 𝑃 𝑃 PROPN cana-3879 156 15 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 156 16 πœ•πΌπ‘›π‘ƒ πœ•πΌπ‘›π‘ƒ PROPN cana-3879 156 17 ] ] PUNCT cana-3879 157 1 𝑑𝑃 𝑑𝑃 PROPN cana-3879 157 2 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 157 3 + + CCONJ cana-3879 157 4 ( ( PUNCT cana-3879 157 5 𝑣𝑏 𝑣𝑏 NUM cana-3879 157 6 βˆ’ βˆ’ PROPN cana-3879 157 7 𝑣𝑒 𝑣𝑒 NOUN cana-3879 157 8 ) ) PUNCT cana-3879 157 9 𝑑π‘₯ 𝑑π‘₯ VERB cana-3879 157 10 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 157 11 ( ( PUNCT cana-3879 157 12 65 65 NUM cana-3879 157 13 ) ) PUNCT cana-3879 157 14 here here ADV cana-3879 157 15 cb cb PROPN cana-3879 157 16 is be AUX cana-3879 157 17 the the DET cana-3879 157 18 blowby blowby NOUN cana-3879 157 19 coefficient coefficient NOUN cana-3879 157 20 and and CCONJ cana-3879 157 21 given give VERB cana-3879 157 22 by by ADP cana-3879 157 23 𝐢𝑏 𝐢𝑏 PROPN cana-3879 157 24 = = PUNCT cana-3879 157 25 οΏ½ οΏ½ PROPN cana-3879 157 26 Μ‡ Μ‡ PROPN cana-3879 157 27 οΏ½ οΏ½ PROPN cana-3879 157 28 1 1 NUM cana-3879 157 29 π‘šβ„ π‘šβ„ NUM cana-3879 157 30 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ PROPN cana-3879 157 31 οΏ½ οΏ½ PROPN cana-3879 157 32 Μ‡ Μ‡ NOUN cana-3879 157 33 οΏ½ οΏ½ PROPN cana-3879 157 34 1 1 NUM cana-3879 157 35 is be AUX cana-3879 157 36 the the DET cana-3879 157 37 leakage leakage NOUN cana-3879 157 38 due due ADP cana-3879 157 39 to to ADP cana-3879 157 40 blowby blowby NOUN cana-3879 157 41 . . PUNCT cana-3879 158 1 expressing express VERB cana-3879 158 2 the the DET cana-3879 158 3 heat heat NOUN cana-3879 158 4 loss loss NOUN cana-3879 158 5 of of ADP cana-3879 158 6 burnt burn VERB cana-3879 158 7 and and CCONJ cana-3879 158 8 unburned unburned ADJ cana-3879 158 9 gases gas NOUN cana-3879 158 10 as as ADP cana-3879 158 11 a a DET cana-3879 158 12 function function NOUN cana-3879 158 13 of of ADP cana-3879 158 14 the the DET cana-3879 158 15 rate rate NOUN cana-3879 158 16 of of ADP cana-3879 158 17 change change NOUN cana-3879 158 18 of of ADP cana-3879 158 19 specific specific ADJ cana-3879 158 20 entropy entropy NOUN cana-3879 158 21 gives give VERB cana-3879 158 22 βˆ’ βˆ’ PROPN cana-3879 158 23 οΏ½ οΏ½ NOUN cana-3879 158 24 Μ‡ Μ‡ NOUN cana-3879 158 25 οΏ½ οΏ½ PROPN cana-3879 158 26 𝑏 𝑏 NOUN cana-3879 158 27 = = SYM cana-3879 158 28 π‘šπœ”π‘₯𝑇𝑏 π‘šπœ”π‘₯𝑇𝑏 PROPN cana-3879 158 29 𝑑𝑠𝑏 𝑑𝑠𝑏 VERB cana-3879 158 30 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 158 31 ( ( PUNCT cana-3879 158 32 66 66 NUM cana-3879 158 33 ) ) PUNCT cana-3879 159 1 βˆ’ βˆ’ NOUN cana-3879 159 2 οΏ½ οΏ½ PROPN cana-3879 159 3 Μ‡ Μ‡ NOUN cana-3879 159 4 οΏ½ οΏ½ PROPN cana-3879 159 5 𝑒 𝑒 NOUN cana-3879 159 6 = = X cana-3879 159 7 π‘šπœ”(1 π‘šπœ”(1 PROPN cana-3879 159 8 βˆ’ βˆ’ PROPN cana-3879 159 9 π‘₯)𝑇𝑒 π‘₯)𝑇𝑒 NOUN cana-3879 159 10 𝑑𝑠𝑏 𝑑𝑠𝑏 VERB cana-3879 159 11 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 159 12 ( ( PUNCT cana-3879 159 13 67 67 NUM cana-3879 159 14 ) ) PUNCT cana-3879 159 15 where where SCONJ cana-3879 159 16 𝑑𝑠𝑏 𝑑𝑠𝑏 VERB cana-3879 159 17 π‘‘πœƒ π‘‘πœƒ NOUN cana-3879 159 18 = = PUNCT cana-3879 159 19 ( ( PUNCT cana-3879 159 20 𝑐𝑝𝑏 𝑐𝑝𝑏 ADV cana-3879 159 21 𝑇𝑏 𝑇𝑏 ADJ cana-3879 159 22 ) ) PUNCT cana-3879 159 23 𝑑𝑇𝑏 𝑑𝑇𝑏 PROPN cana-3879 159 24 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 159 25 βˆ’ βˆ’ NUM cana-3879 159 26 𝑣𝑏 𝑣𝑏 NUM cana-3879 159 27 𝑇𝑏 𝑇𝑏 VERB cana-3879 159 28 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 159 29 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ PROPN cana-3879 159 30 𝑑𝑃 𝑑𝑃 PROPN cana-3879 159 31 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 159 32 ( ( PUNCT cana-3879 159 33 68 68 NUM cana-3879 159 34 ) ) PUNCT cana-3879 159 35 𝑑𝑠𝑒 𝑑𝑠𝑒 NOUN cana-3879 159 36 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 159 37 = = PRON cana-3879 159 38 ( ( PUNCT cana-3879 159 39 𝑐𝑝𝑒 𝑐𝑝𝑒 NOUN cana-3879 159 40 𝑇𝑒 𝑇𝑒 PROPN cana-3879 159 41 ) ) PUNCT cana-3879 159 42 𝑑𝑇𝑒 𝑑𝑇𝑒 PROPN cana-3879 159 43 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 159 44 𝑣𝑒 𝑣𝑒 NOUN cana-3879 159 45 𝑇𝑒 𝑇𝑒 PROPN cana-3879 159 46 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 159 47 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ ADP cana-3879 159 48 𝑑𝑃 𝑑𝑃 PROPN cana-3879 159 49 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 159 50 ( ( PUNCT cana-3879 159 51 69 69 NUM cana-3879 159 52 ) ) PUNCT cana-3879 159 53 expressing express VERB cana-3879 159 54 the the DET cana-3879 159 55 heat heat NOUN cana-3879 159 56 loss loss NOUN cana-3879 159 57 of of ADP cana-3879 159 58 burnt burn VERB cana-3879 159 59 and and CCONJ cana-3879 159 60 unburned unburned ADJ cana-3879 159 61 gases gas NOUN cana-3879 159 62 as as ADP cana-3879 159 63 a a DET cana-3879 159 64 function function NOUN cana-3879 159 65 of of ADP cana-3879 159 66 the the DET cana-3879 159 67 rate rate NOUN cana-3879 159 68 of of ADP cana-3879 159 69 change change NOUN cana-3879 159 70 of of ADP cana-3879 159 71 specific specific ADJ cana-3879 159 72 entropy entropy NOUN cana-3879 159 73 by by ADP cana-3879 159 74 combining combine VERB cana-3879 159 75 ( ( PUNCT cana-3879 159 76 53)-(56 53)-(56 NUM cana-3879 159 77 ) ) PUNCT cana-3879 159 78 and and CCONJ cana-3879 159 79 ( ( PUNCT cana-3879 159 80 66)-(69 66)-(69 NOUN cana-3879 159 81 ) ) PUNCT cana-3879 160 1 𝐢𝑝𝑏 𝐢𝑝𝑏 PROPN cana-3879 160 2 𝑑𝑇𝑏 𝑑𝑇𝑏 ADJ cana-3879 160 3 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 160 4 βˆ’ βˆ’ NUM cana-3879 160 5 𝑣𝑏 𝑣𝑏 VERB cana-3879 160 6 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 160 7 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ PROPN cana-3879 160 8 𝑑𝑃 𝑑𝑃 PROPN cana-3879 160 9 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 160 10 = = SYM cana-3879 160 11 βˆ’β„Ž βˆ’β„Ž NOUN cana-3879 160 12 βˆ‘ βˆ‘ PROPN cana-3879 160 13 𝐴𝑏𝑖(𝑇𝑏 𝐴𝑏𝑖(𝑇𝑏 PROPN cana-3879 160 14 βˆ’ βˆ’ PROPN cana-3879 160 15 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 PUNCT cana-3879 160 16 π‘šπœ” π‘šπœ” NOUN cana-3879 160 17 ( ( PUNCT cana-3879 160 18 70 70 NUM cana-3879 160 19 ) ) PUNCT cana-3879 160 20 𝐢𝑝𝑒 𝐢𝑝𝑒 PROPN cana-3879 160 21 𝑑𝑇𝑒 𝑑𝑇𝑒 NOUN cana-3879 160 22 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 160 23 βˆ’ βˆ’ PROPN cana-3879 160 24 𝑣𝑒 𝑣𝑒 NOUN cana-3879 160 25 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ NOUN cana-3879 160 26 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ ADP cana-3879 160 27 𝑑𝑃 𝑑𝑃 ADJ cana-3879 160 28 π‘‘πœƒ π‘‘πœƒ VERB cana-3879 160 29 = = SYM cana-3879 160 30 βˆ’β„Ž βˆ’β„Ž NOUN cana-3879 160 31 βˆ‘ βˆ‘ PUNCT cana-3879 160 32 𝐴𝑒𝑖(𝑇𝑒 𝐴𝑒𝑖(𝑇𝑒 PROPN cana-3879 160 33 βˆ’ βˆ’ PROPN cana-3879 160 34 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 PUNCT cana-3879 160 35 π‘šπœ”(1 π‘šπœ”(1 PROPN cana-3879 160 36 βˆ’ βˆ’ PROPN cana-3879 160 37 π‘₯ π‘₯ NOUN cana-3879 160 38 ) ) PUNCT cana-3879 160 39 ( ( PUNCT cana-3879 160 40 71 71 NUM cana-3879 160 41 ) ) PUNCT cana-3879 160 42 differentiating differentiate VERB cana-3879 160 43 equations equation NOUN cana-3879 160 44 ( ( PUNCT cana-3879 160 45 50 50 NUM cana-3879 160 46 ) ) PUNCT cana-3879 160 47 and and CCONJ cana-3879 160 48 ( ( PUNCT cana-3879 160 49 51 51 NUM cana-3879 160 50 ) ) PUNCT cana-3879 160 51 and and CCONJ cana-3879 160 52 incorporating incorporate VERB cana-3879 160 53 with with ADP cana-3879 160 54 equation equation NOUN cana-3879 160 55 ( ( PUNCT cana-3879 160 56 4 4 NUM cana-3879 160 57 ) ) PUNCT cana-3879 160 58 , , PUNCT cana-3879 160 59 ( ( PUNCT cana-3879 160 60 39 39 NUM cana-3879 160 61 ) ) PUNCT cana-3879 160 62 , , PUNCT cana-3879 160 63 ( ( PUNCT cana-3879 160 64 40 40 NUM cana-3879 160 65 ) ) PUNCT cana-3879 160 66 , , PUNCT cana-3879 160 67 ( ( PUNCT cana-3879 160 68 43)-(46 43)-(46 NOUN cana-3879 160 69 ) ) PUNCT cana-3879 160 70 and and CCONJ cana-3879 160 71 ( ( PUNCT cana-3879 160 72 52)-(64 52)-(64 NUM cana-3879 160 73 ) ) PUNCT cana-3879 160 74 into into ADP cana-3879 160 75 equation equation NOUN cana-3879 160 76 ( ( PUNCT cana-3879 160 77 5 5 NUM cana-3879 160 78 ) ) PUNCT cana-3879 160 79 , , PUNCT cana-3879 160 80 we we PRON cana-3879 160 81 have have VERB cana-3879 160 82 the the DET cana-3879 160 83 following follow VERB cana-3879 160 84 relations relation NOUN cana-3879 160 85 [ [ X cana-3879 160 86 7 7 NUM cana-3879 160 87 ] ] SYM cana-3879 160 88 𝑑𝑃 𝑑𝑃 NOUN cana-3879 160 89 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 160 90 = = SYM cana-3879 160 91 𝑓1 𝑓1 PROPN cana-3879 160 92 + + CCONJ cana-3879 160 93 𝑓2 𝑓2 PROPN cana-3879 160 94 + + CCONJ cana-3879 160 95 𝑓3 𝑓3 NOUN cana-3879 160 96 𝑓4 𝑓4 NOUN cana-3879 160 97 + + CCONJ cana-3879 160 98 𝑓5 𝑓5 NOUN cana-3879 160 99 ( ( PUNCT cana-3879 160 100 72 72 NUM cana-3879 160 101 ) ) PUNCT cana-3879 160 102 𝑑𝑇𝑏 𝑑𝑇𝑏 ADJ cana-3879 160 103 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 160 104 = = PUNCT cana-3879 160 105 βˆ’β„Ž βˆ’β„Ž NOUN cana-3879 160 106 βˆ‘ βˆ‘ PROPN cana-3879 160 107 𝐴𝑏𝑖(𝑇𝑏 𝐴𝑏𝑖(𝑇𝑏 PROPN cana-3879 160 108 βˆ’ βˆ’ PROPN cana-3879 160 109 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 PUNCT cana-3879 160 110 π‘šπœ”π‘π‘π‘π‘₯ π‘šπœ”π‘π‘π‘π‘₯ X cana-3879 160 111 + + CCONJ cana-3879 160 112 𝑣𝑏 𝑣𝑏 VERB cana-3879 160 113 𝑐𝑝𝑏 𝑐𝑝𝑏 ADV cana-3879 160 114 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 160 115 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ PROPN cana-3879 160 116 𝑑𝑃 𝑑𝑃 PROPN cana-3879 160 117 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 161 1 + + SYM cana-3879 161 2 β„Žπ‘’ β„Žπ‘’ ADP cana-3879 161 3 βˆ’ βˆ’ NOUN cana-3879 161 4 β„Žπ‘ β„Žπ‘ NOUN cana-3879 161 5 π‘₯𝑐𝑝𝑏 π‘₯𝑐𝑝𝑏 ADJ cana-3879 161 6 [ [ PUNCT cana-3879 161 7 𝑑π‘₯ 𝑑π‘₯ ADP cana-3879 161 8 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 161 9 βˆ’ βˆ’ PROPN cana-3879 161 10 ( ( PUNCT cana-3879 161 11 π‘₯ π‘₯ NOUN cana-3879 161 12 βˆ’ βˆ’ NOUN cana-3879 161 13 π‘₯2 π‘₯2 NOUN cana-3879 161 14 ) ) PUNCT cana-3879 161 15 𝑐𝑏 𝑐𝑏 ADV cana-3879 161 16 πœ” πœ” X cana-3879 161 17 ] ] PUNCT cana-3879 161 18 ( ( PUNCT cana-3879 161 19 73 73 NUM cana-3879 161 20 ) ) PUNCT cana-3879 161 21 𝑑𝑇𝑒 𝑑𝑇𝑒 NOUN cana-3879 161 22 π‘‘πœƒ π‘‘πœƒ PRON cana-3879 161 23 βˆ’β„Ž βˆ’β„Ž NOUN cana-3879 161 24 βˆ‘ βˆ‘ PUNCT cana-3879 161 25 𝐴𝑒𝑖(𝑇𝑒 𝐴𝑒𝑖(𝑇𝑒 PROPN cana-3879 161 26 βˆ’ βˆ’ NOUN cana-3879 161 27 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 PUNCT cana-3879 161 28 π‘šπœ”π‘π‘π‘’(1 π‘šπœ”π‘π‘π‘’(1 NOUN cana-3879 161 29 βˆ’ βˆ’ ADP cana-3879 161 30 π‘₯ π‘₯ NOUN cana-3879 161 31 ) ) PUNCT cana-3879 161 32 ( ( PUNCT cana-3879 161 33 74 74 NUM cana-3879 161 34 ) ) PUNCT cana-3879 161 35 where where SCONJ cana-3879 161 36 𝑓1 𝑓1 PROPN cana-3879 161 37 = = SYM cana-3879 161 38 1 1 NUM cana-3879 161 39 π‘š π‘š NOUN cana-3879 161 40 ( ( PUNCT cana-3879 161 41 𝑑𝑉 𝑑𝑉 ADP cana-3879 161 42 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 161 43 + + SYM cana-3879 161 44 𝑉𝐢𝑏 𝑉𝐢𝑏 NOUN cana-3879 161 45 πœ” πœ” NOUN cana-3879 161 46 ) ) PUNCT cana-3879 161 47 ( ( PUNCT cana-3879 161 48 75 75 NUM cana-3879 161 49 ) ) PUNCT cana-3879 161 50 communications communication NOUN cana-3879 161 51 on on ADP cana-3879 161 52 applied apply VERB cana-3879 161 53 nonlinear nonlinear ADJ cana-3879 161 54 analysis analysis NOUN cana-3879 161 55 issn issn NOUN cana-3879 161 56 : : PUNCT cana-3879 161 57 1074 1074 NUM cana-3879 161 58 - - PUNCT cana-3879 161 59 133x 133x NUM cana-3879 161 60 vol vol NOUN cana-3879 161 61 32 32 NUM cana-3879 162 1 no no NOUN cana-3879 162 2 . . PUNCT cana-3879 163 1 9s 9s NUM cana-3879 163 2 ( ( PUNCT cana-3879 163 3 2025 2025 NUM cana-3879 163 4 ) ) PUNCT cana-3879 163 5 324 324 NUM cana-3879 163 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 163 7 𝑓2 𝑓2 NOUN cana-3879 163 8 = = PUNCT cana-3879 163 9 β„Ž β„Ž ADP cana-3879 163 10 π‘šπœ” π‘šπœ” NOUN cana-3879 163 11 [ [ PUNCT cana-3879 163 12 𝑣𝑏 𝑣𝑏 AUX cana-3879 163 13 𝑐𝑝𝑏 𝑐𝑝𝑏 ADV cana-3879 163 14 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 163 15 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ PROPN cana-3879 163 16 βˆ‘ βˆ‘ PROPN cana-3879 163 17 𝐴𝑏𝑖(𝑇𝑏 𝐴𝑏𝑖(𝑇𝑏 PROPN cana-3879 163 18 βˆ’ βˆ’ PROPN cana-3879 163 19 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 NUM cana-3879 164 1 𝑇𝑏 𝑇𝑏 NOUN cana-3879 164 2 + + NUM cana-3879 164 3 𝑣𝑒 𝑣𝑒 ADP cana-3879 164 4 𝑐𝑝𝑒 𝑐𝑝𝑒 NOUN cana-3879 164 5 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 164 6 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ ADV cana-3879 164 7 βˆ‘ βˆ‘ PUNCT cana-3879 164 8 𝐴𝑒𝑖(𝑇𝑒 𝐴𝑒𝑖(𝑇𝑒 PROPN cana-3879 164 9 βˆ’ βˆ’ NOUN cana-3879 164 10 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 𝑇𝑀𝑖)𝑖=β„Ž,𝑝,𝐼 PUNCT cana-3879 165 1 𝑇𝑒 𝑇𝑒 PROPN cana-3879 165 2 ] ] PUNCT cana-3879 165 3 ( ( PUNCT cana-3879 165 4 76 76 NUM cana-3879 165 5 ) ) PUNCT cana-3879 165 6 𝑓3 𝑓3 NOUN cana-3879 165 7 = = SYM cana-3879 165 8 ( ( PUNCT cana-3879 165 9 𝑣𝑏 𝑣𝑏 NUM cana-3879 165 10 βˆ’ βˆ’ PROPN cana-3879 165 11 𝑣𝑒 𝑣𝑒 NOUN cana-3879 165 12 ) ) PUNCT cana-3879 165 13 𝑑π‘₯ 𝑑π‘₯ VERB cana-3879 165 14 π‘‘πœƒ π‘‘πœƒ ADP cana-3879 165 15 βˆ’ βˆ’ NUM cana-3879 165 16 𝑣𝑏 𝑣𝑏 VERB cana-3879 165 17 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 165 18 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ NOUN cana-3879 165 19 β„Žπ‘’ β„Žπ‘’ ADP cana-3879 165 20 βˆ’ βˆ’ NOUN cana-3879 165 21 β„Žπ‘ β„Žπ‘ NOUN cana-3879 165 22 𝑐𝑝𝑏𝑇𝑏 𝑐𝑝𝑏𝑇𝑏 NOUN cana-3879 165 23 [ [ PUNCT cana-3879 165 24 𝑑π‘₯ 𝑑π‘₯ ADP cana-3879 165 25 π‘‘πœƒ π‘‘πœƒ PROPN cana-3879 165 26 βˆ’ βˆ’ PROPN cana-3879 165 27 ( ( PUNCT cana-3879 165 28 π‘₯ π‘₯ NOUN cana-3879 165 29 βˆ’ βˆ’ NOUN cana-3879 165 30 π‘₯2 π‘₯2 NOUN cana-3879 165 31 ) ) PUNCT cana-3879 165 32 𝐢𝑏 𝐢𝑏 PROPN cana-3879 165 33 πœ” πœ” PART cana-3879 165 34 ] ] PUNCT cana-3879 165 35 ( ( PUNCT cana-3879 165 36 77 77 NUM cana-3879 165 37 ) ) PUNCT cana-3879 165 38 𝑓4 𝑓4 NOUN cana-3879 165 39 = = SYM cana-3879 165 40 π‘₯ π‘₯ PROPN cana-3879 165 41 [ [ PUNCT cana-3879 165 42 𝑣𝑏 𝑣𝑏 NUM cana-3879 165 43 2 2 NUM cana-3879 165 44 𝑐𝑝𝑏𝑇𝑏 𝑐𝑝𝑏𝑇𝑏 NOUN cana-3879 165 45 ( ( PUNCT cana-3879 165 46 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 165 47 πœ•πΌπ‘›π‘‡π‘ πœ•πΌπ‘›π‘‡π‘ PROPN cana-3879 165 48 ) ) PUNCT cana-3879 165 49 2 2 NUM cana-3879 166 1 + + CCONJ cana-3879 166 2 𝑣𝑏 𝑣𝑏 PROPN cana-3879 166 3 𝑝 𝑝 PRON cana-3879 166 4 πœ•πΌπ‘›π‘£π‘ πœ•πΌπ‘›π‘£π‘ PROPN cana-3879 166 5 πœ•πΌπ‘› πœ•πΌπ‘› NOUN cana-3879 166 6 𝑝 𝑝 PROPN cana-3879 166 7 ] ] PUNCT cana-3879 166 8 ( ( PUNCT cana-3879 166 9 78 78 X cana-3879 166 10 ) ) PUNCT cana-3879 166 11 𝑓5 𝑓5 NOUN cana-3879 166 12 = = SYM cana-3879 166 13 ( ( PUNCT cana-3879 166 14 1 1 NUM cana-3879 166 15 βˆ’ βˆ’ PROPN cana-3879 166 16 π‘₯ π‘₯ NOUN cana-3879 166 17 ) ) PUNCT cana-3879 166 18 [ [ PUNCT cana-3879 166 19 𝑣𝑒 𝑣𝑒 NOUN cana-3879 166 20 2 2 NUM cana-3879 166 21 𝑐𝑝𝑒𝑇𝑒 𝑐𝑝𝑒𝑇𝑒 NOUN cana-3879 166 22 ( ( PUNCT cana-3879 166 23 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ NOUN cana-3879 166 24 πœ•πΌπ‘›π‘‡π‘’ πœ•πΌπ‘›π‘‡π‘’ ADV cana-3879 166 25 ) ) PUNCT cana-3879 166 26 2 2 NUM cana-3879 167 1 + + CCONJ cana-3879 167 2 𝑣𝑒 𝑣𝑒 PROPN cana-3879 167 3 𝑝 𝑝 PROPN cana-3879 167 4 πœ•πΌπ‘›π‘£π‘’ πœ•πΌπ‘›π‘£π‘’ PROPN cana-3879 167 5 πœ•πΌπ‘› πœ•πΌπ‘› NOUN cana-3879 167 6 𝑝 𝑝 NOUN cana-3879 167 7 ] ] PUNCT cana-3879 167 8 ( ( PUNCT cana-3879 167 9 79 79 NUM cana-3879 167 10 ) ) PUNCT cana-3879 167 11 equations equation NOUN cana-3879 167 12 ( ( PUNCT cana-3879 167 13 75)-(79 75)-(79 NUM cana-3879 167 14 ) ) PUNCT cana-3879 167 15 are be AUX cana-3879 167 16 functions function NOUN cana-3879 167 17 of of ADP cana-3879 167 18 πœƒ πœƒ NOUN cana-3879 167 19 , , PUNCT cana-3879 167 20 𝑃 𝑃 NOUN cana-3879 167 21 , , PUNCT cana-3879 167 22 𝑇𝑏 𝑇𝑏 PROPN cana-3879 167 23 and and CCONJ cana-3879 167 24 𝑇𝑒 𝑇𝑒 PROPN cana-3879 167 25 and and CCONJ cana-3879 167 26 are be AUX cana-3879 167 27 solved solve VERB cana-3879 167 28 using use VERB cana-3879 167 29 the the DET cana-3879 167 30 runge runge NOUN cana-3879 167 31 - - PUNCT cana-3879 167 32 kutta kutta NOUN cana-3879 167 33 method method NOUN cana-3879 167 34 . . PUNCT cana-3879 168 1 iii iii X cana-3879 168 2 . . PROPN cana-3879 168 3 simulation simulation NOUN cana-3879 168 4 results result NOUN cana-3879 168 5 having having AUX cana-3879 168 6 formulated formulate VERB cana-3879 168 7 the the DET cana-3879 168 8 mathematical mathematical ADJ cana-3879 168 9 framework framework NOUN cana-3879 168 10 , , PUNCT cana-3879 168 11 we we PRON cana-3879 168 12 simulate simulate VERB cana-3879 168 13 pressure pressure NOUN cana-3879 168 14 , , PUNCT cana-3879 168 15 temperature temperature NOUN cana-3879 168 16 , , PUNCT cana-3879 168 17 work work NOUN cana-3879 168 18 and and CCONJ cana-3879 168 19 heat heat NOUN cana-3879 168 20 transfer transfer NOUN cana-3879 168 21 for for ADP cana-3879 168 22 an an DET cana-3879 168 23 single single ADJ cana-3879 168 24 cylinder cylinder NOUN cana-3879 168 25 , , PUNCT cana-3879 168 26 four four NUM cana-3879 168 27 stroke stroke NOUN cana-3879 168 28 si si NOUN cana-3879 168 29 engine engine NOUN cana-3879 168 30 running run VERB cana-3879 168 31 on on ADP cana-3879 168 32 gasoline gasoline NOUN cana-3879 168 33 - - PUNCT cana-3879 168 34 ethanol ethanol NOUN cana-3879 168 35 blend blend NOUN cana-3879 168 36 . . PUNCT cana-3879 169 1 we we PRON cana-3879 169 2 have have AUX cana-3879 169 3 assumed assume VERB cana-3879 169 4 a a DET cana-3879 169 5 bore bore NOUN cana-3879 169 6 of of ADP cana-3879 169 7 0.1 0.1 NUM cana-3879 169 8 m m NOUN cana-3879 169 9 , , PUNCT cana-3879 169 10 stroke stroke NOUN cana-3879 169 11 of of ADP cana-3879 169 12 0.08 0.08 NUM cana-3879 169 13 m m NOUN cana-3879 169 14 and and CCONJ cana-3879 169 15 compression compression NOUN cana-3879 169 16 ratio ratio NOUN cana-3879 169 17 vary vary VERB cana-3879 169 18 from from ADP cana-3879 169 19 6 6 NUM cana-3879 169 20 to to PART cana-3879 169 21 8 8 NUM cana-3879 169 22 . . PUNCT cana-3879 170 1 the the DET cana-3879 170 2 engine engine NOUN cana-3879 170 3 is be AUX cana-3879 170 4 assumed assume VERB cana-3879 170 5 to to PART cana-3879 170 6 operate operate VERB cana-3879 170 7 at at ADP cana-3879 170 8 2000 2000 NUM cana-3879 170 9 rpm rpm NOUN cana-3879 170 10 , , PUNCT cana-3879 170 11 with with ADP cana-3879 170 12 an an DET cana-3879 170 13 equivalence equivalence NOUN cana-3879 170 14 ratio ratio NOUN cana-3879 170 15 of of ADP cana-3879 170 16 0.8 0.8 NUM cana-3879 170 17 . . PUNCT cana-3879 171 1 communications communication NOUN cana-3879 171 2 on on ADP cana-3879 171 3 applied apply VERB cana-3879 171 4 nonlinear nonlinear ADJ cana-3879 171 5 analysis analysis NOUN cana-3879 171 6 issn issn NOUN cana-3879 171 7 : : PUNCT cana-3879 171 8 1074 1074 NUM cana-3879 171 9 - - PUNCT cana-3879 171 10 133x 133x NUM cana-3879 171 11 vol vol NOUN cana-3879 171 12 32 32 NUM cana-3879 171 13 no no NOUN cana-3879 171 14 . . PUNCT cana-3879 172 1 9s 9s NUM cana-3879 172 2 ( ( PUNCT cana-3879 172 3 2025 2025 NUM cana-3879 172 4 ) ) PUNCT cana-3879 172 5 325 325 NUM cana-3879 172 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 172 7 0 0 NUM cana-3879 172 8 10 10 NUM cana-3879 172 9 20 20 NUM cana-3879 172 10 30 30 NUM cana-3879 172 11 40 40 NUM cana-3879 172 12 50 50 NUM cana-3879 172 13 60 60 NUM cana-3879 172 14 70 70 NUM cana-3879 172 15 -180 -180 NUM cana-3879 172 16 -90 -90 PUNCT cana-3879 172 17 0 0 NUM cana-3879 172 18 90 90 NUM cana-3879 172 19 180 180 NUM cana-3879 172 20 p p NOUN cana-3879 172 21 re re ADP cana-3879 172 22 ss ss ADP cana-3879 172 23 u u NOUN cana-3879 172 24 re re X cana-3879 172 25 ( ( PUNCT cana-3879 172 26 b b PROPN cana-3879 172 27 ar ar PROPN cana-3879 172 28 ) ) PUNCT cana-3879 172 29 crank crank NOUN cana-3879 172 30 angle angle NOUN cana-3879 172 31 ( ( PUNCT cana-3879 172 32 degrees degree NOUN cana-3879 172 33 atdc atdc PROPN cana-3879 172 34 ) ) PUNCT cana-3879 172 35 cr cr ADP cana-3879 172 36 6 6 NUM cana-3879 172 37 cr cr PROPN cana-3879 172 38 7 7 NUM cana-3879 172 39 cr cr PART cana-3879 172 40 8 8 NUM cana-3879 172 41 communications communication NOUN cana-3879 172 42 on on ADP cana-3879 172 43 applied apply VERB cana-3879 172 44 nonlinear nonlinear ADJ cana-3879 172 45 analysis analysis NOUN cana-3879 172 46 issn issn NOUN cana-3879 172 47 : : PUNCT cana-3879 172 48 1074 1074 NUM cana-3879 172 49 - - PUNCT cana-3879 172 50 133x 133x NUM cana-3879 172 51 vol vol NOUN cana-3879 172 52 32 32 NUM cana-3879 172 53 no no NOUN cana-3879 172 54 . . PUNCT cana-3879 173 1 9s 9s NUM cana-3879 173 2 ( ( PUNCT cana-3879 173 3 2025 2025 NUM cana-3879 173 4 ) ) PUNCT cana-3879 173 5 326 326 NUM cana-3879 174 1 https://internationalpubls.com https://internationalpubls.com X cana-3879 174 2 0 0 NUM cana-3879 174 3 100 100 NUM cana-3879 174 4 200 200 NUM cana-3879 174 5 300 300 NUM cana-3879 174 6 400 400 NUM cana-3879 174 7 500 500 NUM cana-3879 174 8 600 600 NUM cana-3879 174 9 700 700 NUM cana-3879 174 10 800 800 NUM cana-3879 174 11 900 900 NUM cana-3879 174 12 -180 -180 NUM cana-3879 174 13 -90 -90 NUM cana-3879 174 14 0 0 NUM cana-3879 174 15 90 90 NUM cana-3879 174 16 180 180 NUM cana-3879 174 17 te te ADP cana-3879 174 18 m m PRON cana-3879 174 19 p p X cana-3879 174 20 er er INTJ cana-3879 174 21 at at ADP cana-3879 174 22 u u NOUN cana-3879 174 23 re re X cana-3879 174 24 ( ( PUNCT cana-3879 174 25 k k PROPN cana-3879 174 26 ) ) PUNCT cana-3879 174 27 crank crank PROPN cana-3879 174 28 angle angle NOUN cana-3879 174 29 ( ( PUNCT cana-3879 174 30 degrees degree NOUN cana-3879 174 31 atdc atdc PROPN cana-3879 174 32 ) ) PUNCT cana-3879 174 33 cr cr ADP cana-3879 174 34 6 6 NUM cana-3879 174 35 cr cr PROPN cana-3879 174 36 7 7 NUM cana-3879 174 37 cr cr PROPN cana-3879 174 38 8 8 NUM cana-3879 174 39 -4.5 -4.5 NUM cana-3879 174 40 -4 -4 INTJ cana-3879 174 41 -3.5 -3.5 INTJ cana-3879 174 42 -3 -3 PUNCT cana-3879 174 43 -2.5 -2.5 INTJ cana-3879 175 1 -2 -2 INTJ cana-3879 175 2 -1.5 -1.5 NUM cana-3879 175 3 -1 -1 PROPN cana-3879 176 1 -0.5 -0.5 X cana-3879 176 2 0 0 NUM cana-3879 176 3 -180 -180 NUM cana-3879 176 4 -90 -90 PUNCT cana-3879 176 5 0 0 NUM cana-3879 176 6 90 90 NUM cana-3879 176 7 180 180 NUM cana-3879 176 8 b b NOUN cana-3879 176 9 lo lo PROPN cana-3879 176 10 w w PROPN cana-3879 176 11 b b PROPN cana-3879 176 12 y y PROPN cana-3879 176 13 h h NOUN cana-3879 176 14 ea ea PROPN cana-3879 176 15 t t PROPN cana-3879 177 1 lo lo INTJ cana-3879 177 2 ss ss PROPN cana-3879 177 3 ( ( PUNCT cana-3879 177 4 j j PROPN cana-3879 177 5 ) ) PUNCT cana-3879 177 6 crank crank PROPN cana-3879 177 7 angle angle NOUN cana-3879 177 8 ( ( PUNCT cana-3879 177 9 degrees degree NOUN cana-3879 177 10 atdc atdc PROPN cana-3879 177 11 ) ) PUNCT cana-3879 177 12 cr cr ADP cana-3879 177 13 6 6 NUM cana-3879 177 14 cr cr PROPN cana-3879 177 15 7 7 NUM cana-3879 177 16 cr cr PART cana-3879 177 17 8 8 NUM cana-3879 177 18 -150 -150 NUM cana-3879 177 19 -100 -100 PROPN cana-3879 177 20 -50 -50 PUNCT cana-3879 177 21 0 0 NUM cana-3879 177 22 50 50 NUM cana-3879 177 23 100 100 NUM cana-3879 177 24 150 150 NUM cana-3879 177 25 200 200 NUM cana-3879 177 26 250 250 NUM cana-3879 177 27 300 300 NUM cana-3879 177 28 350 350 NUM cana-3879 177 29 400 400 NUM cana-3879 177 30 -180 -180 PROPN cana-3879 177 31 -90 -90 PUNCT cana-3879 177 32 0 0 NUM cana-3879 177 33 90 90 NUM cana-3879 177 34 180 180 NUM cana-3879 177 35 w w NOUN cana-3879 177 36 o o NOUN cana-3879 177 37 rk rk NOUN cana-3879 178 1 d d X cana-3879 178 2 o o X cana-3879 178 3 n n X cana-3879 178 4 e e X cana-3879 178 5 ( ( PUNCT cana-3879 178 6 j j PROPN cana-3879 178 7 ) ) PUNCT cana-3879 178 8 crank crank PROPN cana-3879 178 9 angle angle NOUN cana-3879 178 10 ( ( PUNCT cana-3879 178 11 degrees degree NOUN cana-3879 178 12 atdc atdc PROPN cana-3879 178 13 ) ) PUNCT cana-3879 178 14 cr cr ADP cana-3879 178 15 6 6 NUM cana-3879 178 16 cr cr PROPN cana-3879 178 17 7 7 NUM cana-3879 178 18 0 0 NUM cana-3879 178 19 500 500 NUM cana-3879 178 20 1000 1000 NUM cana-3879 178 21 1500 1500 NUM cana-3879 178 22 2000 2000 NUM cana-3879 178 23 2500 2500 NUM cana-3879 178 24 3000 3000 NUM cana-3879 178 25 -180 -180 NUM cana-3879 178 26 -90 -90 PUNCT cana-3879 178 27 0 0 NUM cana-3879 178 28 90 90 NUM cana-3879 178 29 180 180 NUM cana-3879 178 30 te te ADP cana-3879 178 31 m m PRON cana-3879 178 32 p p X cana-3879 178 33 e e X cana-3879 178 34 ra ra PROPN cana-3879 178 35 tu tu X cana-3879 178 36 re re X cana-3879 178 37 ( ( PUNCT cana-3879 178 38 k k PROPN cana-3879 178 39 ) ) PUNCT cana-3879 178 40 crank crank PROPN cana-3879 178 41 angle angle NOUN cana-3879 178 42 ( ( PUNCT cana-3879 178 43 degrees degree NOUN cana-3879 178 44 atdc atdc PROPN cana-3879 178 45 ) ) PUNCT cana-3879 178 46 cr cr ADP cana-3879 178 47 6 6 NUM cana-3879 178 48 -50 -50 SYM cana-3879 178 49 0 0 NUM cana-3879 179 1 50 50 NUM cana-3879 179 2 100 100 NUM cana-3879 179 3 150 150 NUM cana-3879 179 4 200 200 NUM cana-3879 179 5 250 250 NUM cana-3879 179 6 -180 -180 NUM cana-3879 179 7 -90 -90 NUM cana-3879 179 8 0 0 NUM cana-3879 179 9 90 90 NUM cana-3879 179 10 180 180 NUM cana-3879 179 11 h h NOUN cana-3879 179 12 ea ea NOUN cana-3879 179 13 t t PROPN cana-3879 179 14 tr tr VERB cana-3879 179 15 an an DET cana-3879 179 16 sf sf NOUN cana-3879 179 17 er er INTJ cana-3879 179 18 ( ( PUNCT cana-3879 179 19 j j PROPN cana-3879 179 20 ) ) PUNCT cana-3879 179 21 crank crank PROPN cana-3879 179 22 angle angle NOUN cana-3879 179 23 ( ( PUNCT cana-3879 179 24 degrees degree NOUN cana-3879 179 25 atdc atdc PROPN cana-3879 179 26 ) ) PUNCT cana-3879 179 27 cr cr ADP cana-3879 179 28 6 6 NUM cana-3879 179 29 cr cr PROPN cana-3879 179 30 7 7 NUM cana-3879 179 31 cr cr PART cana-3879 179 32 8 8 NUM cana-3879 179 33 communications communication NOUN cana-3879 179 34 on on ADP cana-3879 179 35 applied apply VERB cana-3879 179 36 nonlinear nonlinear ADJ cana-3879 179 37 analysis analysis NOUN cana-3879 179 38 issn issn NOUN cana-3879 179 39 : : PUNCT cana-3879 179 40 1074 1074 NUM cana-3879 179 41 - - PUNCT cana-3879 179 42 133x 133x NUM cana-3879 179 43 vol vol NOUN cana-3879 179 44 32 32 NUM cana-3879 179 45 no no NOUN cana-3879 179 46 . . PUNCT cana-3879 180 1 9s 9s NUM cana-3879 180 2 ( ( PUNCT cana-3879 180 3 2025 2025 NUM cana-3879 180 4 ) ) PUNCT cana-3879 180 5 327 327 NUM cana-3879 180 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 180 7 iv iv NOUN cana-3879 180 8 . . PUNCT cana-3879 180 9 conclusion conclusion NOUN cana-3879 180 10 the the DET cana-3879 180 11 present present ADJ cana-3879 180 12 work work NOUN cana-3879 180 13 achieves achieve VERB cana-3879 180 14 its its PRON cana-3879 180 15 goal goal NOUN cana-3879 180 16 by by ADP cana-3879 180 17 being be AUX cana-3879 180 18 a a DET cana-3879 180 19 simple simple ADJ cana-3879 180 20 , , PUNCT cana-3879 180 21 fast fast ADJ cana-3879 180 22 and and CCONJ cana-3879 180 23 accurate accurate ADJ cana-3879 180 24 engine engine NOUN cana-3879 180 25 simulation simulation NOUN cana-3879 180 26 model model NOUN cana-3879 180 27 . . PUNCT cana-3879 181 1 the the DET cana-3879 181 2 results result NOUN cana-3879 181 3 obtained obtain VERB cana-3879 181 4 can can AUX cana-3879 181 5 be be AUX cana-3879 181 6 used use VERB cana-3879 181 7 as as ADP cana-3879 181 8 a a DET cana-3879 181 9 first first ADJ cana-3879 181 10 - - PUNCT cana-3879 181 11 degree degree NOUN cana-3879 181 12 approximation approximation NOUN cana-3879 181 13 and and CCONJ cana-3879 181 14 is be AUX cana-3879 181 15 useful useful ADJ cana-3879 181 16 in in ADP cana-3879 181 17 numerous numerous ADJ cana-3879 181 18 engineering engineering NOUN cana-3879 181 19 applications application NOUN cana-3879 181 20 including include VERB cana-3879 181 21 general general ADJ cana-3879 181 22 design design NOUN cana-3879 181 23 predictions prediction NOUN cana-3879 181 24 . . PUNCT cana-3879 182 1 the the DET cana-3879 182 2 model model NOUN cana-3879 182 3 can can AUX cana-3879 182 4 predict predict VERB cana-3879 182 5 an an DET cana-3879 182 6 array array NOUN cana-3879 182 7 of of ADP cana-3879 182 8 thermodynamic thermodynamic ADJ cana-3879 182 9 and and CCONJ cana-3879 182 10 combustion combustion NOUN cana-3879 182 11 parameters parameter NOUN cana-3879 182 12 and and CCONJ cana-3879 182 13 easily easily ADV cana-3879 182 14 adapt adapt VERB cana-3879 182 15 to to ADP cana-3879 182 16 any any DET cana-3879 182 17 combustion combustion NOUN cana-3879 182 18 chamber chamber NOUN cana-3879 182 19 shape shape NOUN cana-3879 182 20 . . PUNCT cana-3879 183 1 due due ADP cana-3879 183 2 to to ADP cana-3879 183 3 its its PRON cana-3879 183 4 simplicity simplicity NOUN cana-3879 183 5 and and CCONJ cana-3879 183 6 computational computational ADJ cana-3879 183 7 efficiency efficiency NOUN cana-3879 183 8 , , PUNCT cana-3879 183 9 the the DET cana-3879 183 10 model model NOUN cana-3879 183 11 can can AUX cana-3879 183 12 also also ADV cana-3879 183 13 be be AUX cana-3879 183 14 used use VERB cana-3879 183 15 as as ADP cana-3879 183 16 a a DET cana-3879 183 17 preliminary preliminary ADJ cana-3879 183 18 test test NOUN cana-3879 183 19 on on ADP cana-3879 183 20 a a DET cana-3879 183 21 wide wide ADJ cana-3879 183 22 range range NOUN cana-3879 183 23 of of ADP cana-3879 183 24 alternate alternate ADJ cana-3879 183 25 hydrocarbon hydrocarbon NOUN cana-3879 183 26 fuels fuel NOUN cana-3879 183 27 . . PUNCT cana-3879 184 1 references reference NOUN cana-3879 184 2 [ [ X cana-3879 184 3 1 1 X cana-3879 184 4 ] ] PUNCT cana-3879 184 5 abdul abdul PROPN cana-3879 184 6 alla alla PROPN cana-3879 184 7 g.h g.h PROPN cana-3879 184 8 . . PUNCT cana-3879 185 1 β€œ " PUNCT cana-3879 185 2 computer computer NOUN cana-3879 185 3 simulation simulation NOUN cana-3879 185 4 of of ADP cana-3879 185 5 a a DET cana-3879 185 6 four four NUM cana-3879 185 7 stroke stroke NOUN cana-3879 185 8 ignition ignition NOUN cana-3879 185 9 engine engine NOUN cana-3879 185 10 ” " PUNCT cana-3879 185 11 energy energy NOUN cana-3879 185 12 conservation conservation NOUN cana-3879 185 13 and and CCONJ cana-3879 185 14 management management NOUN cana-3879 185 15 43(8 43(8 NOUN cana-3879 185 16 ) ) PUNCT cana-3879 186 1 may may AUX cana-3879 186 2 ( ( PUNCT cana-3879 186 3 2002 2002 NUM cana-3879 186 4 ) ) PUNCT cana-3879 186 5 1043 1043 NUM cana-3879 186 6 - - SYM cana-3879 186 7 1061 1061 NUM cana-3879 186 8 . . PUNCT cana-3879 187 1 [ [ X cana-3879 187 2 2 2 X cana-3879 187 3 ] ] X cana-3879 187 4 arthur arthur PROPN cana-3879 187 5 bell bell PROPN cana-3879 187 6 β€œ " PUNCT cana-3879 187 7 the the DET cana-3879 187 8 effect effect NOUN cana-3879 187 9 of of ADP cana-3879 187 10 fuel fuel NOUN cana-3879 187 11 formulation formulation NOUN cana-3879 187 12 on on ADP cana-3879 187 13 the the DET cana-3879 187 14 exhaust exhaust NOUN cana-3879 187 15 emissions emission NOUN cana-3879 187 16 of of ADP cana-3879 187 17 spark spark NOUN cana-3879 187 18 ignition ignition NOUN cana-3879 187 19 engines engine NOUN cana-3879 187 20 ” " PUNCT cana-3879 187 21 degree degree NOUN cana-3879 187 22 of of ADP cana-3879 187 23 doctor doctor NOUN cana-3879 187 24 of of ADP cana-3879 187 25 engineering engineering NOUN cana-3879 187 26 dissertation dissertation NOUN cana-3879 187 27 university university PROPN cana-3879 187 28 of of ADP cana-3879 187 29 stellenbosch stellenbosch PROPN cana-3879 187 30 , , PUNCT cana-3879 187 31 april2006 april2006 PROPN cana-3879 187 32 . . PUNCT cana-3879 188 1 [ [ X cana-3879 188 2 3 3 NUM cana-3879 188 3 ] ] X cana-3879 188 4 baghdadi baghdadi NOUN cana-3879 188 5 m. m. NOUN cana-3879 188 6 ” " PUNCT cana-3879 188 7 a a DET cana-3879 188 8 simulation simulation NOUN cana-3879 188 9 model model NOUN cana-3879 188 10 for for ADP cana-3879 188 11 a a DET cana-3879 188 12 single single ADJ cana-3879 188 13 cylinder cylinder NOUN cana-3879 188 14 four four NUM cana-3879 188 15 - - PUNCT cana-3879 188 16 stroke stroke NOUN cana-3879 188 17 spark spark NOUN cana-3879 188 18 ignition ignition NOUN cana-3879 188 19 engine engine NOUN cana-3879 188 20 fuelled fuel VERB cana-3879 188 21 with with ADP cana-3879 188 22 alternative alternative ADJ cana-3879 188 23 fuels fuel NOUN cana-3879 188 24 ” " PUNCT cana-3879 188 25 turkish turkish ADJ cana-3879 188 26 j. j. PROPN cana-3879 188 27 engineering engineering PROPN cana-3879 188 28 . . PUNCT cana-3879 189 1 environment environment PROPN cana-3879 189 2 . . PUNCT cana-3879 190 1 science science NOUN cana-3879 190 2 30 30 NUM cana-3879 190 3 ( ( PUNCT cana-3879 190 4 2006 2006 NUM cana-3879 190 5 ) ) PUNCT cana-3879 190 6 331350 331350 NUM cana-3879 190 7 . . PUNCT cana-3879 191 1 [ [ X cana-3879 191 2 4 4 NUM cana-3879 191 3 ] ] X cana-3879 191 4 bayraktar bayraktar NOUN cana-3879 191 5 h h PROPN cana-3879 191 6 , , PUNCT cana-3879 191 7 durgun durgun NOUN cana-3879 191 8 o. o. NOUN cana-3879 191 9 β€œ " PUNCT cana-3879 191 10 development development NOUN cana-3879 191 11 of of ADP cana-3879 191 12 an an DET cana-3879 191 13 empirical empirical ADJ cana-3879 191 14 correlation correlation NOUN cana-3879 191 15 for for ADP cana-3879 191 16 combustion combustion NOUN cana-3879 191 17 durations duration NOUN cana-3879 191 18 in in ADP cana-3879 191 19 spark spark NOUN cana-3879 191 20 ignition ignition NOUN cana-3879 191 21 engines engine NOUN cana-3879 191 22 ” " PUNCT cana-3879 191 23 energy energy NOUN cana-3879 191 24 conservation conservation NOUN cana-3879 191 25 and and CCONJ cana-3879 191 26 managment managment NOUN cana-3879 191 27 45(9 45(9 PROPN cana-3879 191 28 ) ) PUNCT cana-3879 191 29 june june PROPN cana-3879 191 30 ( ( PUNCT cana-3879 191 31 2004 2004 NUM cana-3879 191 32 ) ) PUNCT cana-3879 191 33 14191431 14191431 NUM cana-3879 191 34 . . PUNCT cana-3879 192 1 [ [ X cana-3879 192 2 5 5 NUM cana-3879 192 3 ] ] PUNCT cana-3879 192 4 buttsworth buttsworth NOUN cana-3879 192 5 d.r d.r PROPN cana-3879 192 6 . . PUNCT cana-3879 192 7 β€œ " PUNCT cana-3879 192 8 spark spark VERB cana-3879 192 9 ignition ignition NOUN cana-3879 192 10 internal internal ADJ cana-3879 192 11 combustion combustion NOUN cana-3879 192 12 engine engine NOUN cana-3879 192 13 modelling modelling NOUN cana-3879 192 14 using use VERB cana-3879 192 15 matlab matlab PROPN cana-3879 192 16 ” " PUNCT cana-3879 192 17 faculty faculty NOUN cana-3879 192 18 of of ADP cana-3879 192 19 engineering engineering NOUN cana-3879 192 20 & & CCONJ cana-3879 192 21 surveying surveying PROPN cana-3879 192 22 technical technical ADJ cana-3879 192 23 reports report NOUN cana-3879 192 24 , , PUNCT cana-3879 192 25 university university NOUN cana-3879 192 26 of of ADP cana-3879 192 27 southern southern PROPN cana-3879 192 28 queensland queensland PROPN cana-3879 192 29 ( ( PUNCT cana-3879 192 30 2002 2002 NUM cana-3879 192 31 ) ) PUNCT cana-3879 192 32 . . PUNCT cana-3879 193 1 [ [ X cana-3879 193 2 6 6 NUM cana-3879 193 3 ] ] PUNCT cana-3879 193 4 ferguson ferguson PROPN cana-3879 193 5 .c.r .c.r PROPN cana-3879 193 6 . . PUNCT cana-3879 194 1 β€œ " PUNCT cana-3879 194 2 internal internal ADJ cana-3879 194 3 combustion combustion NOUN cana-3879 194 4 engines engine NOUN cana-3879 194 5 , , PUNCT cana-3879 194 6 applied apply VERB cana-3879 194 7 thermo thermo NOUN cana-3879 194 8 sciences science NOUN cana-3879 194 9 ” " PUNCT cana-3879 194 10 , , PUNCT cana-3879 194 11 john john PROPN cana-3879 194 12 wiley wiley PROPN cana-3879 194 13 and and CCONJ cana-3879 194 14 sons son NOUN cana-3879 194 15 , , PUNCT cana-3879 194 16 new new PROPN cana-3879 194 17 york york PROPN cana-3879 194 18 , , PUNCT cana-3879 194 19 1986 1986 NUM cana-3879 194 20 . . PUNCT cana-3879 195 1 [ [ X cana-3879 195 2 7 7 NUM cana-3879 195 3 ] ] SYM cana-3879 195 4 ganesan.v ganesan.v NOUN cana-3879 195 5 , , PUNCT cana-3879 195 6 β€œ " PUNCT cana-3879 195 7 computer computer NOUN cana-3879 195 8 simulation simulation NOUN cana-3879 195 9 of of ADP cana-3879 195 10 si si NOUN cana-3879 195 11 engine engine NOUN cana-3879 195 12 processes process NOUN cana-3879 195 13 ” " PUNCT cana-3879 195 14 , , PUNCT cana-3879 195 15 universities university NOUN cana-3879 195 16 press press VERB cana-3879 195 17 ( ( PUNCT cana-3879 195 18 india india PROPN cana-3879 195 19 ) ) PUNCT cana-3879 195 20 ltd ltd PROPN cana-3879 195 21 1996 1996 NUM cana-3879 195 22 . . PUNCT cana-3879 196 1 [ [ X cana-3879 196 2 8 8 NUM cana-3879 196 3 ] ] X cana-3879 196 4 gordon gordon PROPN cana-3879 196 5 . . PUNCT cana-3879 197 1 s. s. PROPN cana-3879 197 2 and and CCONJ cana-3879 197 3 mcbride mcbride PROPN cana-3879 197 4 b. b. PROPN cana-3879 197 5 j. j. PROPN cana-3879 197 6 , , PUNCT cana-3879 197 7 β€œ " PUNCT cana-3879 197 8 computer computer NOUN cana-3879 197 9 program program NOUN cana-3879 197 10 for for ADP cana-3879 197 11 calculation calculation NOUN cana-3879 197 12 of of ADP cana-3879 197 13 complex complex ADJ cana-3879 197 14 chemical chemical NOUN cana-3879 197 15 equilibrium equilibrium NOUN cana-3879 197 16 composition composition NOUN cana-3879 197 17 , , PUNCT cana-3879 197 18 rocket rocket NOUN cana-3879 197 19 performance performance NOUN cana-3879 197 20 , , PUNCT cana-3879 197 21 incident incident NOUN cana-3879 197 22 and and CCONJ cana-3879 197 23 reflected reflect VERB cana-3879 197 24 shocks shock NOUN cana-3879 197 25 , , PUNCT cana-3879 197 26 and and CCONJ cana-3879 197 27 chapman chapman PROPN cana-3879 197 28 - - PUNCT cana-3879 197 29 jouguet jouguet PROPN cana-3879 197 30 detonations detonation NOUN cana-3879 197 31 " " PUNCT cana-3879 197 32 , , PUNCT cana-3879 197 33 nasa nasa PROPN cana-3879 197 34 publication publication NOUN cana-3879 197 35 sp-273 sp-273 PROPN cana-3879 197 36 , , PUNCT cana-3879 197 37 1971 1971 NUM cana-3879 197 38 . . PUNCT cana-3879 198 1 [ [ X cana-3879 198 2 9 9 NUM cana-3879 198 3 ] ] X cana-3879 198 4 hakan hakan PROPN cana-3879 198 5 bayraktar bayraktar PROPN cana-3879 198 6 β€œ " PUNCT cana-3879 198 7 experimental experimental ADJ cana-3879 198 8 and and CCONJ cana-3879 198 9 theoretical theoretical ADJ cana-3879 198 10 investigation investigation NOUN cana-3879 198 11 of of ADP cana-3879 198 12 using use VERB cana-3879 198 13 gasoline gasoline NOUN cana-3879 198 14 – – PUNCT cana-3879 198 15 ethanol ethanol NOUN cana-3879 198 16 blends blend NOUN cana-3879 198 17 in in ADP cana-3879 198 18 spark spark NOUN cana-3879 198 19 - - PUNCT cana-3879 198 20 ignition ignition NOUN cana-3879 198 21 engines”renewable engines”renewable PROPN cana-3879 198 22 energy energy NOUN cana-3879 198 23 30 30 NUM cana-3879 198 24 ( ( PUNCT cana-3879 198 25 2005 2005 NUM cana-3879 198 26 ) ) PUNCT cana-3879 198 27 1733–1747 1733–1747 NUM cana-3879 198 28 . . PUNCT cana-3879 199 1 [ [ X cana-3879 199 2 10 10 NUM cana-3879 199 3 ] ] X cana-3879 199 4 hakan hakan PROPN cana-3879 199 5 bayraktar bayraktar PROPN cana-3879 199 6 , , PUNCT cana-3879 199 7 β€œ " PUNCT cana-3879 199 8 theoretical theoretical ADJ cana-3879 199 9 investigation investigation NOUN cana-3879 199 10 of of ADP cana-3879 199 11 flame flame NOUN cana-3879 199 12 propagation propagation NOUN cana-3879 199 13 process process NOUN cana-3879 199 14 in in ADP cana-3879 199 15 an an DET cana-3879 199 16 si si NOUN cana-3879 199 17 engine engine NOUN cana-3879 199 18 running run VERB cana-3879 199 19 on on ADP cana-3879 199 20 gasoline gasoline NOUN cana-3879 199 21 – – PUNCT cana-3879 199 22 ethanol ethanol NOUN cana-3879 199 23 blends”renewable blends”renewable ADJ cana-3879 199 24 energy energy NOUN cana-3879 199 25 32 32 NUM cana-3879 199 26 ( ( PUNCT cana-3879 199 27 2007 2007 NUM cana-3879 199 28 ) ) PUNCT cana-3879 199 29 758–771 758–771 NUM cana-3879 199 30 . . PUNCT cana-3879 200 1 [ [ X cana-3879 200 2 11 11 NUM cana-3879 200 3 ] ] X cana-3879 200 4 heywood heywood PROPN cana-3879 200 5 j.b j.b PROPN cana-3879 200 6 . . PUNCT cana-3879 201 1 β€œ " PUNCT cana-3879 201 2 combustion combustion NOUN cana-3879 201 3 and and CCONJ cana-3879 201 4 its its PRON cana-3879 201 5 modelling modelling NOUN cana-3879 201 6 in in ADP cana-3879 201 7 spark spark NOUN cana-3879 201 8 ignition ignition NOUN cana-3879 201 9 engines engine NOUN cana-3879 201 10 ” " PUNCT cana-3879 201 11 international international ADJ cana-3879 201 12 symposium symposium NOUN cana-3879 201 13 comodia comodia NOUN cana-3879 201 14 ( ( PUNCT cana-3879 201 15 1994 1994 NUM cana-3879 201 16 ) ) PUNCT cana-3879 201 17 . . PUNCT cana-3879 202 1 [ [ X cana-3879 202 2 12 12 NUM cana-3879 202 3 ] ] X cana-3879 202 4 heywood heywood PROPN cana-3879 202 5 j.b j.b PROPN cana-3879 202 6 . . PUNCT cana-3879 203 1 β€œ " PUNCT cana-3879 203 2 internal internal ADJ cana-3879 203 3 combustion combustion NOUN cana-3879 203 4 engine engine NOUN cana-3879 203 5 fundamentals fundamental NOUN cana-3879 203 6 ” " PUNCT cana-3879 203 7 , , PUNCT cana-3879 203 8 mcgraw mcgraw PROPN cana-3879 203 9 - - PUNCT cana-3879 203 10 hill hill PROPN cana-3879 203 11 , , PUNCT cana-3879 203 12 new new PROPN cana-3879 203 13 york york PROPN cana-3879 203 14 , , PUNCT cana-3879 203 15 1988 1988 NUM cana-3879 203 16 . . PUNCT cana-3879 204 1 [ [ X cana-3879 204 2 13 13 NUM cana-3879 204 3 ] ] X cana-3879 204 4 hosseini hosseini PROPN cana-3879 204 5 s s PROPN cana-3879 204 6 , , PUNCT cana-3879 204 7 abdolah abdolah ADP cana-3879 204 8 r r NOUN cana-3879 204 9 , , PUNCT cana-3879 204 10 and and CCONJ cana-3879 204 11 khani khani PROPN cana-3879 204 12 a. a. NOUN cana-3879 204 13 β€œ " PUNCT cana-3879 204 14 a a DET cana-3879 204 15 developed developed ADJ cana-3879 204 16 quasi quasi ADJ cana-3879 204 17 - - ADJ cana-3879 204 18 dimensional dimensional ADJ cana-3879 204 19 combustion combustion NOUN cana-3879 204 20 model model NOUN cana-3879 204 21 in in ADP cana-3879 204 22 spark spark NOUN cana-3879 204 23 - - PUNCT cana-3879 204 24 ignition ignition NOUN cana-3879 204 25 engines engine NOUN cana-3879 204 26 ” " PUNCT cana-3879 204 27 proceedings proceeding NOUN cana-3879 204 28 of of ADP cana-3879 204 29 the the DET cana-3879 204 30 world world NOUN cana-3879 204 31 congress congress PROPN cana-3879 204 32 on on ADP cana-3879 204 33 engineering engineering PROPN cana-3879 204 34 london(2008 london(2008 PROPN cana-3879 204 35 ) ) PUNCT cana-3879 204 36 . . PUNCT cana-3879 205 1 communications communication NOUN cana-3879 205 2 on on ADP cana-3879 205 3 applied apply VERB cana-3879 205 4 nonlinear nonlinear ADJ cana-3879 205 5 analysis analysis NOUN cana-3879 205 6 issn issn NOUN cana-3879 205 7 : : PUNCT cana-3879 205 8 1074 1074 NUM cana-3879 205 9 - - PUNCT cana-3879 205 10 133x 133x NUM cana-3879 205 11 vol vol NOUN cana-3879 205 12 32 32 NUM cana-3879 205 13 no no NOUN cana-3879 205 14 . . PUNCT cana-3879 206 1 9s 9s NUM cana-3879 206 2 ( ( PUNCT cana-3879 206 3 2025 2025 NUM cana-3879 206 4 ) ) PUNCT cana-3879 206 5 328 328 NUM cana-3879 206 6 https://internationalpubls.com https://internationalpubls.com X cana-3879 207 1 [ [ X cana-3879 207 2 14 14 NUM cana-3879 207 3 ] ] PUNCT cana-3879 207 4 huΒ¨seyin huΒ¨seyin PROPN cana-3879 207 5 serdar serdar PROPN cana-3879 207 6 yuΒ¨cesu yuΒ¨cesu PROPN cana-3879 207 7 , , PUNCT cana-3879 207 8 tolga tolga PROPN cana-3879 207 9 topguΒ¨ topguΒ¨ PROPN cana-3879 207 10 l l PROPN cana-3879 207 11 , , PUNCT cana-3879 207 12 can can AUX cana-3879 207 13 c c PROPN cana-3879 207 14 Μ§inar Μ§inar PROPN cana-3879 207 15 , , PUNCT cana-3879 207 16 melih melih ADJ cana-3879 207 17 okur okur NOUN cana-3879 207 18 β€œ " PUNCT cana-3879 207 19 effect effect NOUN cana-3879 207 20 of of ADP cana-3879 207 21 ethanol ethanol NOUN cana-3879 207 22 – – PUNCT cana-3879 207 23 gasoline gasoline NOUN cana-3879 207 24 blends blend NOUN cana-3879 207 25 on on ADP cana-3879 207 26 engine engine NOUN cana-3879 207 27 performance performance NOUN cana-3879 207 28 and and CCONJ cana-3879 207 29 exhaust exhaust NOUN cana-3879 207 30 emissions emission NOUN cana-3879 207 31 in in ADP cana-3879 207 32 different different ADJ cana-3879 207 33 compression compression NOUN cana-3879 207 34 ratios”applied ratios”applied ADJ cana-3879 207 35 thermal thermal ADJ cana-3879 207 36 engineering engineering NOUN cana-3879 207 37 26 26 NUM cana-3879 207 38 ( ( PUNCT cana-3879 207 39 2006 2006 NUM cana-3879 207 40 ) ) PUNCT cana-3879 207 41 2272–2278 2272–2278 NUM cana-3879 207 42 . . PUNCT cana-3879 208 1 [ [ X cana-3879 208 2 15 15 NUM cana-3879 208 3 ] ] X cana-3879 208 4 janaf janaf NOUN cana-3879 208 5 β€œ " PUNCT cana-3879 208 6 thermochemical thermochemical ADJ cana-3879 208 7 tables table NOUN cana-3879 208 8 " " PUNCT cana-3879 208 9 , , PUNCT cana-3879 208 10 u.s u.s PROPN cana-3879 208 11 national national PROPN cana-3879 208 12 bureau bureau PROPN cana-3879 208 13 of of ADP cana-3879 208 14 standards standard NOUN cana-3879 208 15 publications publication NOUN cana-3879 208 16 nsrds nsrd NOUN cana-3879 208 17 - - PUNCT cana-3879 208 18 nbs nbs PROPN cana-3879 208 19 37 37 NUM cana-3879 208 20 , , PUNCT cana-3879 208 21 june june PROPN cana-3879 208 22 1971 1971 NUM cana-3879 208 23 . . PUNCT cana-3879 209 1 [ [ X cana-3879 209 2 16 16 NUM cana-3879 209 3 ] ] X cana-3879 209 4 kee kee PROPN cana-3879 209 5 r. r. PROPN cana-3879 209 6 j. j. PROPN cana-3879 209 7 , , PUNCT cana-3879 209 8 rupley rupley PROPN cana-3879 209 9 f. f. PROPN cana-3879 209 10 m m PROPN cana-3879 209 11 and and CCONJ cana-3879 209 12 j. j. PROPN cana-3879 209 13 a. a. PROPN cana-3879 209 14 miller miller PROPN cana-3879 209 15 , , PUNCT cana-3879 209 16 β€œ " PUNCT cana-3879 209 17 the the DET cana-3879 209 18 chemkin chemkin ADJ cana-3879 209 19 thermodynamic thermodynamic ADJ cana-3879 209 20 data datum NOUN cana-3879 209 21 base base NOUN cana-3879 209 22 " " PUNCT cana-3879 209 23 , , PUNCT cana-3879 209 24 sandia sandia PROPN cana-3879 209 25 report report PROPN cana-3879 209 26 sand87 sand87 NOUN cana-3879 209 27 - - PUNCT cana-3879 209 28 8215b 8215b NUM cana-3879 209 29 , , PUNCT cana-3879 209 30 march march PROPN cana-3879 209 31 1991 1991 NUM cana-3879 209 32 . . PUNCT cana-3879 210 1 [ [ X cana-3879 210 2 17 17 NUM cana-3879 210 3 ] ] X cana-3879 210 4 olikara olikara NOUN cana-3879 210 5 c. c. NOUN cana-3879 210 6 and and CCONJ cana-3879 210 7 borman borman NOUN cana-3879 210 8 g g PROPN cana-3879 210 9 l. l. PROPN cana-3879 210 10 β€œ " PUNCT cana-3879 210 11 calculating calculate VERB cana-3879 210 12 properties property NOUN cana-3879 210 13 of of ADP cana-3879 210 14 equilibrium equilibrium NOUN cana-3879 210 15 combustion combustion NOUN cana-3879 210 16 products product NOUN cana-3879 210 17 with with ADP cana-3879 210 18 some some DET cana-3879 210 19 application application NOUN cana-3879 210 20 to to ADP cana-3879 210 21 i.c i.c PROPN cana-3879 210 22 . . PROPN cana-3879 210 23 engines engines PROPN cana-3879 210 24 ” " PUNCT cana-3879 210 25 sae sae PROPN cana-3879 210 26 paper paper PROPN cana-3879 210 27 750468 750468 NUM cana-3879 210 28 ( ( PUNCT cana-3879 210 29 1975 1975 NUM cana-3879 210 30 ) ) PUNCT cana-3879 210 31 . . PUNCT cana-3879 211 1 [ [ X cana-3879 211 2 18 18 NUM cana-3879 211 3 ] ] X cana-3879 211 4 ramachandran ramachandran PROPN cana-3879 211 5 s. s. PROPN cana-3879 211 6 β€œ " PUNCT cana-3879 211 7 rapid rapid ADJ cana-3879 211 8 thermodynamic thermodynamic ADJ cana-3879 211 9 simulation simulation NOUN cana-3879 211 10 model model NOUN cana-3879 211 11 of of ADP cana-3879 211 12 an an DET cana-3879 211 13 internal internal ADJ cana-3879 211 14 combustion combustion NOUN cana-3879 211 15 engine engine NOUN cana-3879 211 16 on on ADP cana-3879 211 17 alternative alternative ADJ cana-3879 211 18 fuels fuel NOUN cana-3879 211 19 ” " PUNCT cana-3879 211 20 proceedings proceeding NOUN cana-3879 211 21 of of ADP cana-3879 211 22 the the DET cana-3879 211 23 international international ADJ cana-3879 211 24 multiconference multiconference NOUN cana-3879 211 25 of of ADP cana-3879 211 26 engineers engineer NOUN cana-3879 211 27 and and CCONJ cana-3879 211 28 computer computer NOUN cana-3879 211 29 scientist scientist NOUN cana-3879 211 30 hong hong PROPN cana-3879 211 31 kong kong PROPN cana-3879 211 32 ( ( PUNCT cana-3879 211 33 2009 2009 NUM cana-3879 211 34 ) ) PUNCT cana-3879 211 35 . . PUNCT cana-3879 212 1 [ [ X cana-3879 212 2 19 19 NUM cana-3879 212 3 ] ] X cana-3879 212 4 sekmen sekmen NOUN cana-3879 212 5 p p NOUN cana-3879 212 6 and and CCONJ cana-3879 212 7 sekmen sekman NOUN cana-3879 212 8 y. y. NOUN cana-3879 212 9 β€œ " PUNCT cana-3879 212 10 mathametical mathametical ADJ cana-3879 212 11 modeling modeling NOUN cana-3879 212 12 of of ADP cana-3879 212 13 a a DET cana-3879 212 14 si si NOUN cana-3879 212 15 engine engine NOUN cana-3879 212 16 cycle cycle NOUN cana-3879 212 17 with with ADP cana-3879 212 18 actual actual ADJ cana-3879 212 19 air air NOUN cana-3879 212 20 - - PUNCT cana-3879 212 21 fuel fuel NOUN cana-3879 212 22 cycle cycle NOUN cana-3879 212 23 analysis analysis NOUN cana-3879 212 24 ” " PUNCT cana-3879 212 25 mathematical mathematical ADJ cana-3879 212 26 and and CCONJ cana-3879 212 27 computational computational ADJ cana-3879 212 28 application application NOUN cana-3879 212 29 12(3 12(3 NUM cana-3879 212 30 ) ) PUNCT cana-3879 212 31 ( ( PUNCT cana-3879 212 32 2007 2007 NUM cana-3879 212 33 ) ) PUNCT cana-3879 212 34 161 161 NUM cana-3879 212 35 - - SYM cana-3879 212 36 171 171 NUM cana-3879 212 37 . . PUNCT cana-3879 213 1 [ [ X cana-3879 213 2 20 20 NUM cana-3879 213 3 ] ] SYM cana-3879 213 4 serdar.h serdar.h PROPN cana-3879 213 5 , , PUNCT cana-3879 213 6 yuΒ¨cesua yuΒ¨cesua NUM cana-3879 213 7 , , PUNCT cana-3879 213 8 adnansozen adnansozen PROPN cana-3879 213 9 , , PUNCT cana-3879 213 10 tolga tolga PROPN cana-3879 213 11 topgu topgu ADV cana-3879 213 12 and and CCONJ cana-3879 213 13 erol erol PROPN cana-3879 213 14 arcakliog arcakliog PROPN cana-3879 213 15 β€œ " PUNCT cana-3879 213 16 comparative comparative ADJ cana-3879 213 17 study study NOUN cana-3879 213 18 of of ADP cana-3879 213 19 mathematical mathematical ADJ cana-3879 213 20 and and CCONJ cana-3879 213 21 experimental experimental ADJ cana-3879 213 22 analysis analysis NOUN cana-3879 213 23 of of ADP cana-3879 213 24 spark spark NOUN cana-3879 213 25 ignition ignition NOUN cana-3879 213 26 engine engine NOUN cana-3879 213 27 performance performance NOUN cana-3879 213 28 used use VERB cana-3879 213 29 ethanol ethanol NOUN cana-3879 213 30 – – PUNCT cana-3879 213 31 gasoline gasoline NOUN cana-3879 213 32 blend blend NOUN cana-3879 213 33 fuel fuel NOUN cana-3879 213 34 ” " PUNCT cana-3879 213 35 applied apply VERB cana-3879 213 36 thermal thermal ADJ cana-3879 213 37 engineering engineering NOUN cana-3879 213 38 27 27 NUM cana-3879 213 39 ( ( PUNCT cana-3879 213 40 2007 2007 NUM cana-3879 213 41 ) ) PUNCT cana-3879 213 42 358–368 358–368 NUM cana-3879 213 43 . . PUNCT cana-3879 214 1 [ [ X cana-3879 214 2 21 21 NUM cana-3879 214 3 ] ] X cana-3879 214 4 sitthiracha sitthiracha PROPN cana-3879 214 5 s s PROPN cana-3879 214 6 , , PUNCT cana-3879 214 7 patumsawad patumsawad NOUN cana-3879 214 8 s s PART cana-3879 214 9 and and CCONJ cana-3879 214 10 koetniyom koetniyom PROPN cana-3879 214 11 s. s. PROPN cana-3879 214 12 β€œ " PUNCT cana-3879 214 13 an an DET cana-3879 214 14 analytical analytical ADJ cana-3879 214 15 model model NOUN cana-3879 214 16 of of ADP cana-3879 214 17 spark spark NOUN cana-3879 214 18 ignition ignition NOUN cana-3879 214 19 engine engine NOUN cana-3879 214 20 for for ADP cana-3879 214 21 performance performance NOUN cana-3879 214 22 prediction prediction NOUN cana-3879 214 23 ” " PUNCT cana-3879 214 24 the the DET cana-3879 214 25 20th 20th ADJ cana-3879 214 26 conference conference NOUN cana-3879 214 27 of of ADP cana-3879 214 28 mechanical mechanical ADJ cana-3879 214 29 engineering engineering NOUN cana-3879 214 30 network network NOUN cana-3879 214 31 of of ADP cana-3879 214 32 thailand thailand PROPN cana-3879 214 33 ( ( PUNCT cana-3879 214 34 2006 2006 NUM cana-3879 214 35 ) ) PUNCT cana-3879 214 36 . . PUNCT cana-3879 215 1 [ [ X cana-3879 215 2 22 22 NUM cana-3879 215 3 ] ] PUNCT cana-3879 215 4 richard.stone richard.stone NOUN cana-3879 215 5 , , PUNCT cana-3879 215 6 β€œ " PUNCT cana-3879 215 7 introduction introduction NOUN cana-3879 215 8 to to ADP cana-3879 215 9 internal internal ADJ cana-3879 215 10 combustion combustion NOUN cana-3879 215 11 engines engine NOUN cana-3879 215 12 ” " PUNCT cana-3879 215 13 , , PUNCT cana-3879 215 14 macmillan macmillan PROPN cana-3879 215 15 press press PROPN cana-3879 215 16 , , PUNCT cana-3879 215 17 basingstoke basingstoke PROPN cana-3879 215 18 , , PUNCT cana-3879 215 19 third third ADJ cana-3879 215 20 edition edition NOUN cana-3879 215 21 , , PUNCT cana-3879 215 22 1999 1999 NUM cana-3879 216 1 [ [ X cana-3879 216 2 23 23 NUM cana-3879 216 3 ] ] PUNCT cana-3879 216 4 woschni.g woschni.g ADV cana-3879 216 5 β€œ " PUNCT cana-3879 216 6 a a DET cana-3879 216 7 universally universally ADV cana-3879 216 8 applicable applicable ADJ cana-3879 216 9 equation equation NOUN cana-3879 216 10 for for ADP cana-3879 216 11 the the DET cana-3879 216 12 instantaneous instantaneous ADJ cana-3879 216 13 heat heat NOUN cana-3879 216 14 transfer transfer NOUN cana-3879 216 15 coefficient coefficient NOUN cana-3879 216 16 in in ADP cana-3879 216 17 the the DET cana-3879 216 18 internal internal ADJ cana-3879 216 19 combustion combustion NOUN cana-3879 216 20 engine engine NOUN cana-3879 216 21 " " PUNCT cana-3879 216 22 , , PUNCT cana-3879 216 23 sae sae PROPN cana-3879 216 24 paper paper PROPN cana-3879 216 25 670931 670931 NUM cana-3879 216 26 , , PUNCT cana-3879 216 27 1967 1967 NUM cana-3879 216 28 . . PUNCT cana-3879 217 1 [ [ X cana-3879 217 2 24 24 NUM cana-3879 217 3 ] ] PUNCT cana-3879 217 4 yusaf yusaf PROPN cana-3879 217 5 tf tf X cana-3879 217 6 , , PUNCT cana-3879 217 7 sye sye NOUN cana-3879 217 8 h h PROPN cana-3879 217 9 , , PUNCT cana-3879 217 10 fong fong PROPN cana-3879 217 11 , , PUNCT cana-3879 217 12 yusoff yusoff PROPN cana-3879 217 13 mz mz PROPN cana-3879 217 14 and and CCONJ cana-3879 217 15 hussein hussein PROPN cana-3879 217 16 i. i. PROPN cana-3879 217 17 β€œ " PUNCT cana-3879 217 18 modelling modelling NOUN cana-3879 217 19 of of ADP cana-3879 217 20 transient transient ADJ cana-3879 217 21 heat heat NOUN cana-3879 217 22 flux flux NOUN cana-3879 217 23 in in ADP cana-3879 217 24 spark spark NOUN cana-3879 217 25 ignition ignition NOUN cana-3879 217 26 engine engine NOUN cana-3879 217 27 duration duration NOUN cana-3879 217 28 combustion combustion NOUN cana-3879 217 29 and and CCONJ cana-3879 217 30 comparisons comparison NOUN cana-3879 217 31 with with ADP cana-3879 217 32 experimental experimental ADJ cana-3879 217 33 ” " PUNCT cana-3879 217 34 american american ADJ cana-3879 217 35 journal journal NOUN cana-3879 217 36 of of ADP cana-3879 217 37 applied apply VERB cana-3879 217 38 sciences science NOUN cana-3879 217 39 , , PUNCT cana-3879 217 40 10(2 10(2 NUM cana-3879 217 41 ) ) PUNCT cana-3879 217 42 ( ( PUNCT cana-3879 217 43 2005 2005 NUM cana-3879 217 44 ) ) PUNCT cana-3879 217 45 1438 1438 NUM cana-3879 217 46 - - SYM cana-3879 217 47 1444 1444 NUM cana-3879 217 48 . . PUNCT