id sid tid token lemma pos cana-2412 1 1 communications communication NOUN cana-2412 1 2 on on ADP cana-2412 1 3 applied apply VERB cana-2412 1 4 nonlinear nonlinear ADJ cana-2412 1 5 analysis analysis NOUN cana-2412 1 6 issn issn NOUN cana-2412 1 7 : : PUNCT cana-2412 1 8 1074 1074 NUM cana-2412 1 9 - - PUNCT cana-2412 1 10 133x 133x NUM cana-2412 1 11 vol vol NOUN cana-2412 1 12 32 32 NUM cana-2412 1 13 no no NOUN cana-2412 1 14 . . PUNCT cana-2412 2 1 2s 2s NUM cana-2412 2 2 ( ( PUNCT cana-2412 2 3 2025 2025 NUM cana-2412 2 4 ) ) PUNCT cana-2412 2 5 386 386 NUM cana-2412 2 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 2 7 radiative radiative ADJ cana-2412 2 8 flow flow NOUN cana-2412 2 9 and and CCONJ cana-2412 2 10 heat heat NOUN cana-2412 2 11 transfer transfer NOUN cana-2412 2 12 of of ADP cana-2412 2 13 chemically chemically ADV cana-2412 2 14 reacted react VERB cana-2412 2 15 casson casson PROPN cana-2412 2 16 nanofluid nanofluid PROPN cana-2412 2 17 over over ADP cana-2412 2 18 a a DET cana-2412 2 19 wedge wedge NOUN cana-2412 2 20 under under ADP cana-2412 2 21 the the DET cana-2412 2 22 influence influence NOUN cana-2412 2 23 of of ADP cana-2412 2 24 mhd mhd NOUN cana-2412 2 25 and and CCONJ cana-2412 2 26 viscous viscous ADJ cana-2412 2 27 dissipation dissipation NOUN cana-2412 2 28 ch ch NOUN cana-2412 2 29 . . PUNCT cana-2412 2 30 vittal1 vittal1 PROPN cana-2412 3 1 g. g. PROPN cana-2412 3 2 kavitha1 kavitha1 PROPN cana-2412 3 3 , , PUNCT cana-2412 3 4 s s PART cana-2412 3 5 renuka3 renuka3 NOUN cana-2412 3 6 , , PUNCT cana-2412 3 7 v v NUM cana-2412 3 8 dhanalaxmi1 dhanalaxmi1 NOUN cana-2412 3 9 , , PUNCT cana-2412 3 10 vijayalaxmi vijayalaxmi NOUN cana-2412 3 11 tankasala2βˆ— tankasala2βˆ— PROPN cana-2412 3 12 , , PUNCT cana-2412 3 13 1 1 NUM cana-2412 3 14 department department NOUN cana-2412 3 15 of of ADP cana-2412 3 16 mathematics mathematic NOUN cana-2412 3 17 , , PUNCT cana-2412 3 18 university university NOUN cana-2412 3 19 college college NOUN cana-2412 3 20 of of ADP cana-2412 3 21 science science PROPN cana-2412 3 22 , , PUNCT cana-2412 3 23 osmania osmania PROPN cana-2412 3 24 university university PROPN cana-2412 3 25 , , PUNCT cana-2412 3 26 hyderabad hyderabad PROPN cana-2412 3 27 , , PUNCT cana-2412 3 28 telangana telangana PROPN cana-2412 3 29 , , PUNCT cana-2412 3 30 india india PROPN cana-2412 3 31 2 2 NUM cana-2412 3 32 department department NOUN cana-2412 3 33 of of ADP cana-2412 3 34 mathematics mathematic NOUN cana-2412 3 35 , , PUNCT cana-2412 3 36 government government NOUN cana-2412 3 37 degree degree NOUN cana-2412 3 38 college college PROPN cana-2412 3 39 , , PUNCT cana-2412 3 40 shadnagar shadnagar PROPN cana-2412 3 41 , , PUNCT cana-2412 3 42 ranga ranga PROPN cana-2412 3 43 reddy reddy PROPN cana-2412 3 44 , , PUNCT cana-2412 3 45 telangana telangana PROPN cana-2412 3 46 , , PUNCT cana-2412 3 47 india india PROPN cana-2412 3 48 3 3 PROPN cana-2412 3 49 department department PROPN cana-2412 3 50 of of ADP cana-2412 3 51 mathematics mathematics PROPN cana-2412 3 52 , , PUNCT cana-2412 3 53 nizam nizam PROPN cana-2412 3 54 college college PROPN cana-2412 3 55 , , PUNCT cana-2412 3 56 basheerbagh basheerbagh PROPN cana-2412 3 57 , , PUNCT cana-2412 3 58 hyderabad hyderabad PROPN cana-2412 3 59 , , PUNCT cana-2412 3 60 telangana telangana PROPN cana-2412 3 61 , , PUNCT cana-2412 3 62 india india PROPN cana-2412 3 63 * * PUNCT cana-2412 3 64 corresponding correspond VERB cana-2412 3 65 author author NOUN cana-2412 3 66 : : PUNCT cana-2412 3 67 vijaya9966998024@rediffmail.com vijaya9966998024@rediffmail.com PROPN cana-2412 4 1 mobile mobile ADJ cana-2412 4 2 number number NOUN cana-2412 4 3 : : PUNCT cana-2412 4 4 9966998024 9966998024 NUM cana-2412 4 5 article article NOUN cana-2412 4 6 history history NOUN cana-2412 4 7 : : PUNCT cana-2412 4 8 received receive VERB cana-2412 4 9 : : PUNCT cana-2412 4 10 18 18 NUM cana-2412 4 11 - - SYM cana-2412 4 12 09 09 NUM cana-2412 4 13 - - PUNCT cana-2412 4 14 2024 2024 NUM cana-2412 4 15 revised revise VERB cana-2412 4 16 : : PUNCT cana-2412 4 17 25 25 NUM cana-2412 4 18 - - SYM cana-2412 4 19 10 10 NUM cana-2412 4 20 - - PUNCT cana-2412 4 21 2024 2024 NUM cana-2412 4 22 accepted accept VERB cana-2412 4 23 : : PUNCT cana-2412 4 24 05 05 NUM cana-2412 4 25 - - SYM cana-2412 4 26 11 11 NUM cana-2412 4 27 - - PUNCT cana-2412 4 28 2024 2024 NUM cana-2412 4 29 abstract abstract NOUN cana-2412 4 30 : : PUNCT cana-2412 4 31 the the DET cana-2412 4 32 effect effect NOUN cana-2412 4 33 of of ADP cana-2412 4 34 thermal thermal ADJ cana-2412 4 35 radiation radiation NOUN cana-2412 4 36 , , PUNCT cana-2412 4 37 viscous viscous ADJ cana-2412 4 38 dissipation dissipation NOUN cana-2412 4 39 with with ADP cana-2412 4 40 magnetohydrodynamic magnetohydrodynamic ADJ cana-2412 4 41 and and CCONJ cana-2412 4 42 chemically chemically ADV cana-2412 4 43 reacted react VERB cana-2412 4 44 casson casson PROPN cana-2412 4 45 nano nano NOUN cana-2412 4 46 fluid fluid NOUN cana-2412 4 47 flow flow NOUN cana-2412 4 48 across across ADP cana-2412 4 49 a a DET cana-2412 4 50 moving move VERB cana-2412 4 51 wedge wedge NOUN cana-2412 4 52 and and CCONJ cana-2412 4 53 convective convective ADJ cana-2412 4 54 boundary boundary ADJ cana-2412 4 55 condition condition NOUN cana-2412 4 56 in in ADP cana-2412 4 57 existence existence NOUN cana-2412 4 58 of of ADP cana-2412 4 59 internal internal ADJ cana-2412 4 60 heat heat NOUN cana-2412 4 61 generation generation NOUN cana-2412 4 62 / / SYM cana-2412 4 63 absorption absorption NOUN cana-2412 4 64 is be AUX cana-2412 4 65 studied study VERB cana-2412 4 66 , , PUNCT cana-2412 4 67 the the DET cana-2412 4 68 obtained obtain VERB cana-2412 4 69 results result NOUN cana-2412 4 70 are be AUX cana-2412 4 71 presented present VERB cana-2412 4 72 . . PUNCT cana-2412 5 1 the the DET cana-2412 5 2 simple simple ADJ cana-2412 5 3 governing govern VERB cana-2412 5 4 partial partial ADJ cana-2412 5 5 differential differential NOUN cana-2412 5 6 equations equation NOUN cana-2412 5 7 are be AUX cana-2412 5 8 altered alter VERB cana-2412 5 9 into into ADP cana-2412 5 10 non non ADJ cana-2412 5 11 - - ADJ cana-2412 5 12 linear linear ADJ cana-2412 5 13 ordinary ordinary ADJ cana-2412 5 14 differential differential ADJ cana-2412 5 15 equations equation NOUN cana-2412 5 16 through through ADP cana-2412 5 17 employing employ VERB cana-2412 5 18 suitable suitable ADJ cana-2412 5 19 similarity similarity NOUN cana-2412 5 20 transformations transformation NOUN cana-2412 5 21 . . PUNCT cana-2412 6 1 the the DET cana-2412 6 2 obtained obtain VERB cana-2412 6 3 non non ADJ cana-2412 6 4 - - ADJ cana-2412 6 5 linear linear ADJ cana-2412 6 6 ordinary ordinary ADJ cana-2412 6 7 differential differential ADJ cana-2412 6 8 equations equation NOUN cana-2412 6 9 are be AUX cana-2412 6 10 effectively effectively ADV cana-2412 6 11 elucidated elucidate VERB cana-2412 6 12 numerically numerically ADV cana-2412 6 13 through through ADP cana-2412 6 14 keller keller PROPN cana-2412 6 15 - - PUNCT cana-2412 6 16 box box PROPN cana-2412 6 17 method method NOUN cana-2412 6 18 by by ADP cana-2412 6 19 use use NOUN cana-2412 6 20 of of ADP cana-2412 6 21 matlab matlab PROPN cana-2412 6 22 software software NOUN cana-2412 6 23 . . PUNCT cana-2412 7 1 the the DET cana-2412 7 2 variation variation NOUN cana-2412 7 3 of of ADP cana-2412 7 4 the the DET cana-2412 7 5 pertinent pertinent ADJ cana-2412 7 6 constraints constraint NOUN cana-2412 7 7 on on ADP cana-2412 7 8 velocity velocity NOUN cana-2412 7 9 , , PUNCT cana-2412 7 10 temperature temperature NOUN cana-2412 7 11 and and CCONJ cana-2412 7 12 nanoparticle nanoparticle NOUN cana-2412 7 13 volume volume NOUN cana-2412 7 14 fraction fraction NOUN cana-2412 7 15 are be AUX cana-2412 7 16 explored explore VERB cana-2412 7 17 through through ADP cana-2412 7 18 graphs graph NOUN cana-2412 7 19 . . PUNCT cana-2412 8 1 the the DET cana-2412 8 2 graphs graph NOUN cana-2412 8 3 of of ADP cana-2412 8 4 skin skin NOUN cana-2412 8 5 friction friction NOUN cana-2412 8 6 coefficient coefficient NOUN cana-2412 8 7 , , PUNCT cana-2412 8 8 nussult nussult ADJ cana-2412 8 9 number number NOUN cana-2412 8 10 and and CCONJ cana-2412 8 11 sherwood sherwood PROPN cana-2412 8 12 number number NOUN cana-2412 8 13 are be AUX cana-2412 8 14 plotted plot VERB cana-2412 8 15 as as ADP cana-2412 8 16 a a DET cana-2412 8 17 function function NOUN cana-2412 8 18 of of ADP cana-2412 8 19 physical physical ADJ cana-2412 8 20 parameters parameter NOUN cana-2412 8 21 for for ADP cana-2412 8 22 different different ADJ cana-2412 8 23 values value NOUN cana-2412 8 24 . . PUNCT cana-2412 9 1 the the DET cana-2412 9 2 present present ADJ cana-2412 9 3 results result NOUN cana-2412 9 4 are be AUX cana-2412 9 5 well well ADV cana-2412 9 6 matched match VERB cana-2412 9 7 with with ADP cana-2412 9 8 the the DET cana-2412 9 9 previous previous ADJ cana-2412 9 10 reported report VERB cana-2412 9 11 work work NOUN cana-2412 9 12 . . PUNCT cana-2412 10 1 the the DET cana-2412 10 2 present present ADJ cana-2412 10 3 work work NOUN cana-2412 10 4 demonstrates demonstrate VERB cana-2412 10 5 the the DET cana-2412 10 6 nanoparticle nanoparticle NOUN cana-2412 10 7 volume volume NOUN cana-2412 10 8 fraction fraction NOUN cana-2412 10 9 profile profile NOUN cana-2412 10 10 decrease decrease NOUN cana-2412 10 11 by by ADP cana-2412 10 12 enhance enhance NOUN cana-2412 10 13 of of ADP cana-2412 10 14 chemical chemical ADJ cana-2412 10 15 reaction reaction NOUN cana-2412 10 16 , , PUNCT cana-2412 10 17 brownian brownian ADJ cana-2412 10 18 motion motion NOUN cana-2412 10 19 , , PUNCT cana-2412 10 20 schmidt schmidt PROPN cana-2412 10 21 parameter parameter NOUN cana-2412 10 22 values value NOUN cana-2412 10 23 and and CCONJ cana-2412 10 24 increases increase NOUN cana-2412 10 25 with with ADP cana-2412 10 26 increment increment NOUN cana-2412 10 27 in in ADP cana-2412 10 28 thermophoresis thermophoresis NOUN cana-2412 10 29 parameter parameter NOUN cana-2412 10 30 values value NOUN cana-2412 10 31 . . PUNCT cana-2412 11 1 keywords keyword NOUN cana-2412 11 2 : : PUNCT cana-2412 11 3 nanoparticle nanoparticle NOUN cana-2412 11 4 , , PUNCT cana-2412 11 5 thermophoresis thermophoresis NOUN cana-2412 11 6 , , PUNCT cana-2412 11 7 brownian brownian ADJ cana-2412 11 8 motion motion NOUN cana-2412 11 9 , , PUNCT cana-2412 11 10 schmidt schmidt ADJ cana-2412 11 11 number number NOUN cana-2412 11 12 , , PUNCT cana-2412 11 13 chemical chemical NOUN cana-2412 11 14 reaction reaction NOUN cana-2412 11 15 , , PUNCT cana-2412 11 16 wedge wedge NOUN cana-2412 11 17 . . PUNCT cana-2412 12 1 1 1 X cana-2412 12 2 . . X cana-2412 12 3 introduction introduction NOUN cana-2412 12 4 non non ADJ cana-2412 12 5 - - ADJ cana-2412 12 6 newtonian newtonian ADJ cana-2412 12 7 fluids fluid NOUN cana-2412 12 8 attracted attract VERB cana-2412 12 9 many many ADJ cana-2412 12 10 researchers researcher NOUN cana-2412 12 11 , , PUNCT cana-2412 12 12 scientists scientist NOUN cana-2412 12 13 and and CCONJ cana-2412 12 14 engineers engineer NOUN cana-2412 12 15 due due ADP cana-2412 12 16 to to ADP cana-2412 12 17 its its PRON cana-2412 12 18 wide wide ADJ cana-2412 12 19 range range NOUN cana-2412 12 20 of of ADP cana-2412 12 21 applications application NOUN cana-2412 12 22 in in ADP cana-2412 12 23 industry industry NOUN cana-2412 12 24 , , PUNCT cana-2412 12 25 manufacturing manufacturing NOUN cana-2412 12 26 processing processing NOUN cana-2412 12 27 , , PUNCT cana-2412 12 28 biological biological ADJ cana-2412 12 29 fluids fluid NOUN cana-2412 12 30 etc etc X cana-2412 12 31 . . X cana-2412 12 32 due due ADP cana-2412 12 33 to to ADP cana-2412 12 34 many many ADJ cana-2412 12 35 potential potential ADJ cana-2412 12 36 and and CCONJ cana-2412 12 37 technological technological ADJ cana-2412 12 38 applications application NOUN cana-2412 12 39 , , PUNCT cana-2412 12 40 the the DET cana-2412 12 41 non non ADJ cana-2412 12 42 - - ADJ cana-2412 12 43 newtonian newtonian ADJ cana-2412 12 44 fluids fluid NOUN cana-2412 12 45 are be AUX cana-2412 12 46 considered consider VERB cana-2412 12 47 the the DET cana-2412 12 48 most most ADV cana-2412 12 49 important important ADJ cana-2412 12 50 than than ADP cana-2412 12 51 viscous viscous ADJ cana-2412 12 52 fluids fluid NOUN cana-2412 12 53 . . PUNCT cana-2412 13 1 non non ADJ cana-2412 13 2 - - ADJ cana-2412 13 3 newtonian newtonian ADJ cana-2412 13 4 fluids fluid NOUN cana-2412 13 5 exhibits exhibit VERB cana-2412 13 6 variable variable ADJ cana-2412 13 7 viscosity viscosity NOUN cana-2412 13 8 as as ADP cana-2412 13 9 a a DET cana-2412 13 10 result result NOUN cana-2412 13 11 of of ADP cana-2412 13 12 applied applied ADJ cana-2412 13 13 force force NOUN cana-2412 13 14 . . PUNCT cana-2412 14 1 to to PART cana-2412 14 2 analyze analyze VERB cana-2412 14 3 the the DET cana-2412 14 4 behavior behavior NOUN cana-2412 14 5 of of ADP cana-2412 14 6 non non ADJ cana-2412 14 7 - - ADJ cana-2412 14 8 newtonian newtonian ADJ cana-2412 14 9 liquids liquid NOUN cana-2412 14 10 , , PUNCT cana-2412 14 11 numerous numerous ADJ cana-2412 14 12 significant significant ADJ cana-2412 14 13 difficulties difficulty NOUN cana-2412 14 14 are be AUX cana-2412 14 15 encountered encounter VERB cana-2412 14 16 , , PUNCT cana-2412 14 17 comprises comprise VERB cana-2412 14 18 highly highly ADV cana-2412 14 19 nonlinear nonlinear ADJ cana-2412 14 20 governing govern VERB cana-2412 14 21 boundary boundary ADJ cana-2412 14 22 layer layer NOUN cana-2412 14 23 equations equation NOUN cana-2412 14 24 and and CCONJ cana-2412 14 25 a a DET cana-2412 14 26 higher high ADJ cana-2412 14 27 degree degree NOUN cana-2412 14 28 of of ADP cana-2412 14 29 complexity complexity NOUN cana-2412 14 30 than than ADP cana-2412 14 31 newtonian newtonian ADJ cana-2412 14 32 fluids fluid NOUN cana-2412 14 33 . . PUNCT cana-2412 15 1 hence hence ADV cana-2412 15 2 , , PUNCT cana-2412 15 3 few few ADJ cana-2412 15 4 reports report NOUN cana-2412 15 5 are be AUX cana-2412 15 6 available available ADJ cana-2412 15 7 [ [ X cana-2412 15 8 1 1 NUM cana-2412 15 9 - - SYM cana-2412 15 10 7 7 NUM cana-2412 15 11 ] ] PUNCT cana-2412 15 12 and and CCONJ cana-2412 15 13 need need VERB cana-2412 15 14 further further ADJ cana-2412 15 15 investigation investigation NOUN cana-2412 15 16 for for ADP cana-2412 15 17 better well ADJ cana-2412 15 18 understanding understanding NOUN cana-2412 15 19 of of ADP cana-2412 15 20 the the DET cana-2412 15 21 flow flow NOUN cana-2412 15 22 characteristics characteristic NOUN cana-2412 15 23 of of ADP cana-2412 15 24 non non ADJ cana-2412 15 25 - - ADJ cana-2412 15 26 newtonian newtonian ADJ cana-2412 15 27 fluids fluid NOUN cana-2412 15 28 . . PUNCT cana-2412 16 1 casson casson PROPN cana-2412 16 2 fluid fluid PROPN cana-2412 16 3 model model NOUN cana-2412 16 4 is be AUX cana-2412 16 5 one one NUM cana-2412 16 6 of of ADP cana-2412 16 7 the the DET cana-2412 16 8 simplest simple ADJ cana-2412 16 9 , , PUNCT cana-2412 16 10 non non ADJ cana-2412 16 11 - - ADJ cana-2412 16 12 newtonian newtonian ADJ cana-2412 16 13 fluid fluid ADJ cana-2412 16 14 model model NOUN cana-2412 16 15 of of ADP cana-2412 16 16 differential differential ADJ cana-2412 16 17 type type NOUN cana-2412 16 18 . . PUNCT cana-2412 17 1 the the DET cana-2412 17 2 reported report VERB cana-2412 17 3 studies study NOUN cana-2412 17 4 revealed reveal VERB cana-2412 17 5 the the DET cana-2412 17 6 casson casson PROPN cana-2412 17 7 fluid fluid NOUN cana-2412 17 8 model model NOUN cana-2412 17 9 is be AUX cana-2412 17 10 fit fit ADJ cana-2412 17 11 to to ADP cana-2412 17 12 the the DET cana-2412 17 13 rheological rheological ADJ cana-2412 17 14 data datum NOUN cana-2412 17 15 and and CCONJ cana-2412 17 16 it it PRON cana-2412 17 17 is be AUX cana-2412 17 18 better well ADJ cana-2412 17 19 than than ADP cana-2412 17 20 general general ADJ cana-2412 17 21 viscoplastic viscoplastic ADJ cana-2412 17 22 models model NOUN cana-2412 17 23 for for ADP cana-2412 17 24 many many ADJ cana-2412 17 25 materials material NOUN cana-2412 17 26 . . PUNCT cana-2412 18 1 casson casson PROPN cana-2412 18 2 fluid fluid PROPN cana-2412 18 3 exhibits exhibit VERB cana-2412 18 4 a a DET cana-2412 18 5 yield yield NOUN cana-2412 18 6 stress stress NOUN cana-2412 18 7 . . PUNCT cana-2412 19 1 the the DET cana-2412 19 2 casson casson PROPN cana-2412 19 3 model model NOUN cana-2412 19 4 is be AUX cana-2412 19 5 accurate accurate ADJ cana-2412 19 6 in in ADP cana-2412 19 7 very very ADV cana-2412 19 8 low low ADJ cana-2412 19 9 and and CCONJ cana-2412 19 10 very very ADV cana-2412 19 11 high high ADJ cana-2412 19 12 shear shear NOUN cana-2412 19 13 rate rate NOUN cana-2412 19 14 . . PUNCT cana-2412 20 1 this this DET cana-2412 20 2 model model NOUN cana-2412 20 3 is be AUX cana-2412 20 4 used use VERB cana-2412 20 5 in in ADP cana-2412 20 6 industries industry NOUN cana-2412 20 7 to to PART cana-2412 20 8 get get VERB cana-2412 20 9 more more ADV cana-2412 20 10 accurate accurate ADJ cana-2412 20 11 representation representation NOUN cana-2412 20 12 of of ADP cana-2412 20 13 high high ADJ cana-2412 20 14 shear shear NOUN cana-2412 20 15 rate rate NOUN cana-2412 20 16 mailto:vijaya9966998024@rediffmail.com mailto:vijaya9966998024@rediffmail.com PROPN cana-2412 20 17 communications communication NOUN cana-2412 20 18 on on ADP cana-2412 20 19 applied apply VERB cana-2412 20 20 nonlinear nonlinear ADJ cana-2412 20 21 analysis analysis NOUN cana-2412 20 22 issn issn NOUN cana-2412 20 23 : : PUNCT cana-2412 20 24 1074 1074 NUM cana-2412 20 25 - - PUNCT cana-2412 20 26 133x 133x NUM cana-2412 20 27 vol vol NOUN cana-2412 20 28 32 32 NUM cana-2412 20 29 no no NOUN cana-2412 20 30 . . PUNCT cana-2412 21 1 2s 2s NUM cana-2412 21 2 ( ( PUNCT cana-2412 21 3 2025 2025 NUM cana-2412 21 4 ) ) PUNCT cana-2412 21 5 387 387 NUM cana-2412 21 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 21 7 viscosities viscosity NOUN cana-2412 21 8 when when SCONJ cana-2412 21 9 only only ADV cana-2412 21 10 low low ADJ cana-2412 21 11 and and CCONJ cana-2412 21 12 intermediate intermediate ADJ cana-2412 21 13 shear shear NOUN cana-2412 21 14 rate rate NOUN cana-2412 21 15 data datum NOUN cana-2412 21 16 are be AUX cana-2412 21 17 available available ADJ cana-2412 21 18 . . PUNCT cana-2412 22 1 besides besides ADV cana-2412 22 2 , , PUNCT cana-2412 22 3 casson casson PROPN cana-2412 22 4 fluids fluid NOUN cana-2412 22 5 witnessed witness VERB cana-2412 22 6 significant significant ADJ cana-2412 22 7 applications application NOUN cana-2412 22 8 in in ADP cana-2412 22 9 polymer polymer NOUN cana-2412 22 10 processing processing NOUN cana-2412 22 11 industries industry NOUN cana-2412 22 12 and and CCONJ cana-2412 22 13 biomechanics biomechanic NOUN cana-2412 22 14 . . PUNCT cana-2412 23 1 recently recently ADV cana-2412 23 2 , , PUNCT cana-2412 23 3 many many ADJ cana-2412 23 4 researchers researcher NOUN cana-2412 23 5 are be AUX cana-2412 23 6 considered consider VERB cana-2412 23 7 the the DET cana-2412 23 8 boundary boundary ADJ cana-2412 23 9 layer layer NOUN cana-2412 23 10 flow flow NOUN cana-2412 23 11 of of ADP cana-2412 23 12 casson casson PROPN cana-2412 23 13 fluid fluid NOUN cana-2412 23 14 over over ADP cana-2412 23 15 dissimilar dissimilar ADJ cana-2412 23 16 geometries geometry NOUN cana-2412 23 17 . . PUNCT cana-2412 24 1 studies study NOUN cana-2412 24 2 on on ADP cana-2412 24 3 magnetohydrodynamics magnetohydrodynamic NOUN cana-2412 24 4 ( ( PUNCT cana-2412 24 5 mhd mhd NOUN cana-2412 24 6 ) ) PUNCT cana-2412 24 7 flow flow NOUN cana-2412 24 8 of of ADP cana-2412 24 9 a a DET cana-2412 24 10 casson casson PROPN cana-2412 24 11 fluid fluid NOUN cana-2412 24 12 over over ADP cana-2412 24 13 an an DET cana-2412 24 14 exponentially exponentially ADV cana-2412 24 15 shrinking shrink VERB cana-2412 24 16 sheet sheet NOUN cana-2412 24 17 has have AUX cana-2412 24 18 made make VERB cana-2412 24 19 by by ADP cana-2412 24 20 nadeem nadeem PROPN cana-2412 24 21 et et PROPN cana-2412 24 22 al al PROPN cana-2412 24 23 . . PUNCT cana-2412 25 1 [ [ X cana-2412 25 2 8 8 NUM cana-2412 25 3 ] ] PUNCT cana-2412 25 4 . . PUNCT cana-2412 26 1 few few ADJ cana-2412 26 2 reports report NOUN cana-2412 26 3 on on ADP cana-2412 26 4 flow flow NOUN cana-2412 26 5 analysis analysis NOUN cana-2412 26 6 of of ADP cana-2412 26 7 casson casson PROPN cana-2412 26 8 fluids fluid NOUN cana-2412 26 9 is be AUX cana-2412 26 10 made make VERB cana-2412 26 11 by by ADP cana-2412 26 12 hayat hayat PROPN cana-2412 26 13 et et PROPN cana-2412 26 14 al al PROPN cana-2412 26 15 . . PUNCT cana-2412 27 1 [ [ X cana-2412 27 2 9 9 NUM cana-2412 27 3 ] ] PUNCT cana-2412 27 4 , , PUNCT cana-2412 27 5 bhattacharyya bhattacharyya PROPN cana-2412 27 6 et et PROPN cana-2412 27 7 al al PROPN cana-2412 27 8 . . PUNCT cana-2412 28 1 [ [ X cana-2412 28 2 10 10 NUM cana-2412 28 3 ] ] PUNCT cana-2412 28 4 , , PUNCT cana-2412 28 5 and and CCONJ cana-2412 28 6 mukhopadhyay mukhopadhyay VERB cana-2412 28 7 et et PROPN cana-2412 28 8 al al PROPN cana-2412 28 9 . . PUNCT cana-2412 29 1 [ [ X cana-2412 29 2 11 11 NUM cana-2412 29 3 ] ] PUNCT cana-2412 29 4 , , PUNCT cana-2412 29 5 nadeem nadeem PROPN cana-2412 29 6 et et PROPN cana-2412 29 7 al al PROPN cana-2412 29 8 . . PUNCT cana-2412 30 1 [ [ X cana-2412 30 2 12 12 NUM cana-2412 30 3 ] ] PUNCT cana-2412 30 4 , , PUNCT cana-2412 30 5 haq haq PROPN cana-2412 30 6 et et PROPN cana-2412 30 7 al al PROPN cana-2412 30 8 . . PUNCT cana-2412 31 1 [ [ X cana-2412 31 2 13 13 NUM cana-2412 31 3 ] ] PUNCT cana-2412 31 4 . . PUNCT cana-2412 32 1 the the DET cana-2412 32 2 convective convective ADJ cana-2412 32 3 flow flow NOUN cana-2412 32 4 past past ADP cana-2412 32 5 a a DET cana-2412 32 6 wedge wedge NOUN cana-2412 32 7 has have AUX cana-2412 32 8 been be AUX cana-2412 32 9 widely widely ADV cana-2412 32 10 studied study VERB cana-2412 32 11 by by ADP cana-2412 32 12 researchers researcher NOUN cana-2412 32 13 due due ADJ cana-2412 32 14 to to ADP cana-2412 32 15 its its PRON cana-2412 32 16 applications application NOUN cana-2412 32 17 in in ADP cana-2412 32 18 aerodynamics aerodynamic NOUN cana-2412 32 19 , , PUNCT cana-2412 32 20 heat heat NOUN cana-2412 32 21 exchangers exchanger NOUN cana-2412 32 22 , , PUNCT cana-2412 32 23 geothermal geothermal ADJ cana-2412 32 24 systems system NOUN cana-2412 32 25 , , PUNCT cana-2412 32 26 etc etc X cana-2412 32 27 . . X cana-2412 33 1 furthermore furthermore ADV cana-2412 33 2 , , PUNCT cana-2412 33 3 the the DET cana-2412 33 4 wedge wedge NOUN cana-2412 33 5 flow flow NOUN cana-2412 33 6 is be AUX cana-2412 33 7 important important ADJ cana-2412 33 8 due due ADP cana-2412 33 9 to to ADP cana-2412 33 10 the the DET cana-2412 33 11 fact fact NOUN cana-2412 33 12 that that SCONJ cana-2412 33 13 each each DET cana-2412 33 14 value value NOUN cana-2412 33 15 of of ADP cana-2412 33 16 wedge wedge NOUN cana-2412 33 17 angle angle NOUN cana-2412 33 18 yields yield VERB cana-2412 33 19 a a DET cana-2412 33 20 diverse diverse ADJ cana-2412 33 21 pressure pressure NOUN cana-2412 33 22 profile profile NOUN cana-2412 33 23 , , PUNCT cana-2412 33 24 thereby thereby ADV cana-2412 33 25 offer offer VERB cana-2412 33 26 insight insight NOUN cana-2412 33 27 into into ADP cana-2412 33 28 boundary boundary ADJ cana-2412 33 29 layer layer NOUN cana-2412 33 30 behavior behavior NOUN cana-2412 33 31 in in ADP cana-2412 33 32 number number NOUN cana-2412 33 33 of of ADP cana-2412 33 34 situations situation NOUN cana-2412 33 35 . . PUNCT cana-2412 34 1 the the DET cana-2412 34 2 falkner falkner PROPN cana-2412 34 3 - - PUNCT cana-2412 34 4 skan skan PROPN cana-2412 34 5 ( ( PUNCT cana-2412 34 6 f f X cana-2412 34 7 - - PUNCT cana-2412 34 8 s s NOUN cana-2412 34 9 ) ) PUNCT cana-2412 34 10 wedge wedge NOUN cana-2412 34 11 flow flow NOUN cana-2412 34 12 for for ADP cana-2412 34 13 a a DET cana-2412 34 14 non non ADJ cana-2412 34 15 - - ADJ cana-2412 34 16 newtonian newtonian ADJ cana-2412 34 17 fluid fluid NOUN cana-2412 34 18 with with ADP cana-2412 34 19 a a DET cana-2412 34 20 variable variable ADJ cana-2412 34 21 free free ADJ cana-2412 34 22 stream stream NOUN cana-2412 34 23 condition condition NOUN cana-2412 34 24 is be AUX cana-2412 34 25 reported report VERB cana-2412 34 26 by by ADP cana-2412 34 27 postelnicu postelnicu NOUN cana-2412 34 28 and and CCONJ cana-2412 34 29 pop pop VERB cana-2412 34 30 [ [ X cana-2412 34 31 14 14 NUM cana-2412 34 32 ] ] PUNCT cana-2412 34 33 . . PUNCT cana-2412 35 1 kafoussias kafoussias PROPN cana-2412 35 2 group group PROPN cana-2412 36 1 [ [ X cana-2412 36 2 15 15 NUM cana-2412 36 3 ] ] PUNCT cana-2412 36 4 explored explore VERB cana-2412 36 5 the the DET cana-2412 36 6 mhd mhd NOUN cana-2412 36 7 laminar laminar ADJ cana-2412 36 8 boundary boundary ADJ cana-2412 36 9 - - PUNCT cana-2412 36 10 layer layer NOUN cana-2412 36 11 flow flow NOUN cana-2412 36 12 of of ADP cana-2412 36 13 a a DET cana-2412 36 14 non non ADJ cana-2412 36 15 - - ADJ cana-2412 36 16 newtonian newtonian ADJ cana-2412 36 17 fluid fluid NOUN cana-2412 36 18 over over ADP cana-2412 36 19 a a DET cana-2412 36 20 permeable permeable ADJ cana-2412 36 21 wedge wedge NOUN cana-2412 36 22 . . PUNCT cana-2412 37 1 swati swati PROPN cana-2412 37 2 mukhopadhyay mukhopadhyay PROPN cana-2412 37 3 and and CCONJ cana-2412 37 4 group group NOUN cana-2412 37 5 members member NOUN cana-2412 37 6 [ [ X cana-2412 37 7 16 16 NUM cana-2412 37 8 ] ] PUNCT cana-2412 37 9 examined examine VERB cana-2412 37 10 the the DET cana-2412 37 11 boundary boundary ADJ cana-2412 37 12 layer layer NOUN cana-2412 37 13 forced force VERB cana-2412 37 14 convection convection NOUN cana-2412 37 15 flow flow NOUN cana-2412 37 16 of of ADP cana-2412 37 17 a a DET cana-2412 37 18 casson casson PROPN cana-2412 37 19 fluid fluid NOUN cana-2412 37 20 past past ADP cana-2412 37 21 a a DET cana-2412 37 22 symmetric symmetric ADJ cana-2412 37 23 wedge wedge NOUN cana-2412 37 24 . . PUNCT cana-2412 38 1 kishan kishan PROPN cana-2412 38 2 et et PROPN cana-2412 38 3 al al PROPN cana-2412 38 4 . . PROPN cana-2412 38 5 studied study VERB cana-2412 38 6 the the DET cana-2412 38 7 mhd mhd NOUN cana-2412 38 8 heat heat NOUN cana-2412 38 9 transfer transfer NOUN cana-2412 38 10 to to ADP cana-2412 38 11 non non ADJ cana-2412 38 12 - - ADJ cana-2412 38 13 newtonian newtonian ADJ cana-2412 38 14 power power NOUN cana-2412 38 15 - - PUNCT cana-2412 38 16 law law NOUN cana-2412 38 17 fluids fluid NOUN cana-2412 38 18 flowing flow VERB cana-2412 38 19 over over ADP cana-2412 38 20 a a DET cana-2412 38 21 wedge wedge NOUN cana-2412 38 22 [ [ X cana-2412 38 23 17 17 NUM cana-2412 38 24 , , PUNCT cana-2412 38 25 18 18 NUM cana-2412 38 26 ] ] PUNCT cana-2412 38 27 . . PUNCT cana-2412 39 1 wedge wedge NOUN cana-2412 39 2 flow flow NOUN cana-2412 39 3 problem problem NOUN cana-2412 39 4 at at ADP cana-2412 39 5 different different ADJ cana-2412 39 6 thermophysical thermophysical ADJ cana-2412 39 7 conditions condition NOUN cana-2412 39 8 is be AUX cana-2412 39 9 reported report VERB cana-2412 39 10 by by ADP cana-2412 39 11 many many ADJ cana-2412 39 12 researchers researcher NOUN cana-2412 39 13 [ [ X cana-2412 39 14 19 19 NUM cana-2412 39 15 - - SYM cana-2412 39 16 23 23 NUM cana-2412 39 17 ] ] PUNCT cana-2412 39 18 . . PUNCT cana-2412 40 1 su su PROPN cana-2412 40 2 et et PROPN cana-2412 40 3 al al PROPN cana-2412 40 4 . . PROPN cana-2412 40 5 demonstrate demonstrate VERB cana-2412 40 6 an an DET cana-2412 40 7 mhd mhd NOUN cana-2412 40 8 mixed mix VERB cana-2412 40 9 convection convection NOUN cana-2412 40 10 flow flow NOUN cana-2412 40 11 of of ADP cana-2412 40 12 viscous viscous ADJ cana-2412 40 13 fluid fluid NOUN cana-2412 40 14 via via ADP cana-2412 40 15 a a DET cana-2412 40 16 porous porous ADJ cana-2412 40 17 stretching stretch VERB cana-2412 40 18 wedge wedge NOUN cana-2412 40 19 [ [ X cana-2412 40 20 24 24 NUM cana-2412 40 21 ] ] PUNCT cana-2412 40 22 . . PUNCT cana-2412 41 1 hossain hossain PROPN cana-2412 41 2 et et PROPN cana-2412 41 3 al al PROPN cana-2412 41 4 . . PROPN cana-2412 41 5 reported report VERB cana-2412 41 6 the the DET cana-2412 41 7 flow flow NOUN cana-2412 41 8 of of ADP cana-2412 41 9 an an DET cana-2412 41 10 unsteady unsteady ADJ cana-2412 41 11 mixed mixed ADJ cana-2412 41 12 - - PUNCT cana-2412 41 13 convection convection NOUN cana-2412 41 14 boundary boundary ADJ cana-2412 41 15 layer layer NOUN cana-2412 41 16 through through ADP cana-2412 41 17 a a DET cana-2412 41 18 symmetric symmetric ADJ cana-2412 41 19 wedge wedge NOUN cana-2412 41 20 with with ADP cana-2412 41 21 a a DET cana-2412 41 22 changing change VERB cana-2412 41 23 surface surface NOUN cana-2412 41 24 temperature temperature NOUN cana-2412 41 25 [ [ X cana-2412 41 26 25 25 NUM cana-2412 41 27 ] ] PUNCT cana-2412 41 28 . . PUNCT cana-2412 42 1 deka deka PROPN cana-2412 42 2 and and CCONJ cana-2412 42 3 sharma sharma PROPN cana-2412 42 4 examined examine VERB cana-2412 42 5 the the DET cana-2412 42 6 magnetohydrodynamic magnetohydrodynamic ADJ cana-2412 42 7 mixed mixed ADJ cana-2412 42 8 convection convection NOUN cana-2412 42 9 flow flow NOUN cana-2412 42 10 through through ADP cana-2412 42 11 a a DET cana-2412 42 12 wedge wedge NOUN cana-2412 42 13 with with ADP cana-2412 42 14 changing change VERB cana-2412 42 15 temperature temperature NOUN cana-2412 42 16 and and CCONJ cana-2412 42 17 chemical chemical NOUN cana-2412 42 18 reaction reaction NOUN cana-2412 42 19 using use VERB cana-2412 42 20 falknerskan falknerskan ADJ cana-2412 42 21 transformations transformation NOUN cana-2412 42 22 [ [ X cana-2412 42 23 26 26 NUM cana-2412 42 24 ] ] PUNCT cana-2412 42 25 . . PUNCT cana-2412 43 1 srinivasacharya srinivasacharya PROPN cana-2412 43 2 et et PROPN cana-2412 43 3 al al PROPN cana-2412 43 4 . . PROPN cana-2412 43 5 investigated investigate VERB cana-2412 43 6 heat heat NOUN cana-2412 43 7 , , PUNCT cana-2412 43 8 mass mass ADJ cana-2412 43 9 transport transport NOUN cana-2412 43 10 characteristics characteristic NOUN cana-2412 43 11 are be AUX cana-2412 43 12 stable stable ADJ cana-2412 43 13 in in ADP cana-2412 43 14 a a DET cana-2412 43 15 laminar laminar ADJ cana-2412 43 16 mhd mhd NOUN cana-2412 43 17 flow flow NOUN cana-2412 43 18 across across ADP cana-2412 43 19 a a DET cana-2412 43 20 wedge wedge NOUN cana-2412 43 21 in in ADP cana-2412 43 22 the the DET cana-2412 43 23 presence presence NOUN cana-2412 43 24 of of ADP cana-2412 43 25 changing change VERB cana-2412 43 26 magnetic magnetic ADJ cana-2412 43 27 fields field NOUN cana-2412 43 28 [ [ X cana-2412 43 29 27 27 NUM cana-2412 43 30 ] ] PUNCT cana-2412 43 31 . . PUNCT cana-2412 44 1 hall hall NOUN cana-2412 44 2 effects effect NOUN cana-2412 44 3 on on ADP cana-2412 44 4 mhd mhd NOUN cana-2412 44 5 squeezing squeezing NOUN cana-2412 44 6 flow flow NOUN cana-2412 44 7 of of ADP cana-2412 44 8 a a DET cana-2412 44 9 water water NOUN cana-2412 44 10 based base VERB cana-2412 44 11 nanofluid nanofluid PROPN cana-2412 44 12 through through ADP cana-2412 44 13 a a DET cana-2412 44 14 saturated saturate VERB cana-2412 44 15 porous porous ADJ cana-2412 44 16 medium medium NOUN cana-2412 44 17 in in ADP cana-2412 44 18 between between ADP cana-2412 44 19 two two NUM cana-2412 44 20 parallel parallel ADJ cana-2412 44 21 disks disk NOUN cana-2412 44 22 is be AUX cana-2412 44 23 studied study VERB cana-2412 44 24 as as SCONJ cana-2412 44 25 consider consider VERB cana-2412 44 26 the the DET cana-2412 44 27 hall hall NOUN cana-2412 44 28 current current ADJ cana-2412 44 29 into into ADP cana-2412 44 30 the the DET cana-2412 44 31 account account NOUN cana-2412 44 32 by by ADP cana-2412 44 33 veera veera NOUN cana-2412 44 34 krishna krishna PROPN cana-2412 44 35 et et PROPN cana-2412 44 36 al al PROPN cana-2412 45 1 [ [ X cana-2412 45 2 28 28 NUM cana-2412 45 3 ] ] PUNCT cana-2412 45 4 . . PUNCT cana-2412 46 1 study study NOUN cana-2412 46 2 on on ADP cana-2412 46 3 effects effect NOUN cana-2412 46 4 of of ADP cana-2412 46 5 heat heat NOUN cana-2412 46 6 , , PUNCT cana-2412 46 7 mass mass ADJ cana-2412 46 8 transfer transfer NOUN cana-2412 46 9 on on ADP cana-2412 46 10 free free ADJ cana-2412 46 11 convective convective ADJ cana-2412 46 12 flow flow NOUN cana-2412 46 13 of of ADP cana-2412 46 14 micropolar micropolar ADJ cana-2412 46 15 fluid fluid NOUN cana-2412 46 16 over over ADP cana-2412 46 17 an an DET cana-2412 46 18 infinite infinite ADJ cana-2412 46 19 vertical vertical ADJ cana-2412 46 20 porous porous ADJ cana-2412 46 21 plate plate NOUN cana-2412 46 22 in in ADP cana-2412 46 23 presence presence NOUN cana-2412 46 24 of of ADP cana-2412 46 25 inclined inclined ADJ cana-2412 46 26 magnetic magnetic ADJ cana-2412 46 27 field field NOUN cana-2412 46 28 with with ADP cana-2412 46 29 an an DET cana-2412 46 30 angle angle NOUN cana-2412 46 31 of of ADP cana-2412 46 32 inclination inclination NOUN cana-2412 46 33 , , PUNCT cana-2412 46 34 constant constant ADJ cana-2412 46 35 suction suction NOUN cana-2412 46 36 velocity velocity NOUN cana-2412 46 37 by by ADP cana-2412 46 38 veera veera NOUN cana-2412 46 39 krishna krishna PROPN cana-2412 46 40 and and CCONJ cana-2412 46 41 team team NOUN cana-2412 46 42 members member NOUN cana-2412 46 43 [ [ X cana-2412 46 44 29 29 NUM cana-2412 46 45 ] ] PUNCT cana-2412 46 46 . . PUNCT cana-2412 47 1 recent recent ADJ cana-2412 47 2 studies study NOUN cana-2412 47 3 on on ADP cana-2412 47 4 the the DET cana-2412 47 5 effects effect NOUN cana-2412 47 6 of of ADP cana-2412 47 7 various various ADJ cana-2412 47 8 non non ADJ cana-2412 47 9 - - ADJ cana-2412 47 10 dimensional dimensional ADJ cana-2412 47 11 parameters parameter NOUN cana-2412 47 12 on on ADP cana-2412 47 13 velocity velocity NOUN cana-2412 47 14 , , PUNCT cana-2412 47 15 temperature temperature NOUN cana-2412 47 16 and and CCONJ cana-2412 47 17 concentration concentration NOUN cana-2412 47 18 within within ADP cana-2412 47 19 the the DET cana-2412 47 20 boundary boundary ADJ cana-2412 47 21 layer layer NOUN cana-2412 47 22 are be AUX cana-2412 47 23 examined examine VERB cana-2412 47 24 through through ADP cana-2412 47 25 soret soret NOUN cana-2412 47 26 and and CCONJ cana-2412 47 27 joule joule NOUN cana-2412 47 28 effects effect NOUN cana-2412 47 29 with with ADP cana-2412 47 30 mhd mhd NOUN cana-2412 47 31 mixed mixed ADJ cana-2412 47 32 convective convective ADJ cana-2412 47 33 flow flow NOUN cana-2412 47 34 of of ADP cana-2412 47 35 an an DET cana-2412 47 36 incompressible incompressible ADJ cana-2412 47 37 , , PUNCT cana-2412 47 38 electrically electrically ADV cana-2412 47 39 conducting conduct VERB cana-2412 47 40 viscous viscous ADJ cana-2412 47 41 fluid fluid NOUN cana-2412 47 42 past past ADP cana-2412 47 43 an an DET cana-2412 47 44 infinite infinite ADJ cana-2412 47 45 vertical vertical ADJ cana-2412 47 46 porous porous ADJ cana-2412 47 47 plate plate NOUN cana-2412 47 48 , , PUNCT cana-2412 47 49 the the DET cana-2412 47 50 perturbation perturbation NOUN cana-2412 47 51 technique technique NOUN cana-2412 47 52 is be AUX cana-2412 47 53 used use VERB cana-2412 47 54 to to PART cana-2412 47 55 solve solve VERB cana-2412 47 56 the the DET cana-2412 47 57 non non ADJ cana-2412 47 58 - - ADJ cana-2412 47 59 dimensional dimensional ADJ cana-2412 47 60 equations equation NOUN cana-2412 47 61 [ [ X cana-2412 47 62 30 30 NUM cana-2412 47 63 ] ] PUNCT cana-2412 47 64 . . PUNCT cana-2412 48 1 hall hall NOUN cana-2412 48 2 and and CCONJ cana-2412 48 3 ion ion NOUN cana-2412 48 4 slip slip NOUN cana-2412 48 5 effects effect NOUN cana-2412 48 6 on on ADP cana-2412 48 7 magnetohydrodynamic magnetohydrodynamic ADJ cana-2412 48 8 ( ( PUNCT cana-2412 48 9 mhd mhd NOUN cana-2412 48 10 ) ) PUNCT cana-2412 48 11 free free ADJ cana-2412 48 12 convective convective ADJ cana-2412 48 13 rotating rotating NOUN cana-2412 48 14 flow flow NOUN cana-2412 48 15 of of ADP cana-2412 48 16 nanofluids nanofluid NOUN cana-2412 48 17 in in ADP cana-2412 48 18 a a DET cana-2412 48 19 porous porous ADJ cana-2412 48 20 medium medium NOUN cana-2412 48 21 past past NOUN cana-2412 48 22 a a DET cana-2412 48 23 moving move VERB cana-2412 48 24 vertical vertical ADJ cana-2412 48 25 semi semi ADJ cana-2412 48 26 - - ADJ cana-2412 48 27 infinite infinite ADJ cana-2412 48 28 flat flat ADJ cana-2412 48 29 plate plate NOUN cana-2412 48 30 are be AUX cana-2412 48 31 investigated investigate VERB cana-2412 48 32 by by ADP cana-2412 48 33 chamkha chamkha ADJ cana-2412 48 34 et et PROPN cana-2412 48 35 al al PROPN cana-2412 48 36 in in ADP cana-2412 48 37 the the DET cana-2412 48 38 year year NOUN cana-2412 48 39 2020 2020 NUM cana-2412 48 40 , , PUNCT cana-2412 48 41 and and CCONJ cana-2412 48 42 found find VERB cana-2412 48 43 the the DET cana-2412 48 44 impact impact NOUN cana-2412 48 45 of of ADP cana-2412 48 46 thermal thermal ADJ cana-2412 48 47 convection convection NOUN cana-2412 48 48 of of ADP cana-2412 48 49 nanoparticles nanoparticle NOUN cana-2412 48 50 has have AUX cana-2412 48 51 increased increase VERB cana-2412 48 52 the the DET cana-2412 48 53 temperature temperature NOUN cana-2412 48 54 distribution distribution NOUN cana-2412 48 55 , , PUNCT cana-2412 48 56 which which PRON cana-2412 48 57 helps help VERB cana-2412 48 58 in in ADP cana-2412 48 59 destroying destroy VERB cana-2412 48 60 the the DET cana-2412 48 61 cancer cancer NOUN cana-2412 48 62 cells cell NOUN cana-2412 48 63 during during ADP cana-2412 48 64 the the DET cana-2412 48 65 drug drug NOUN cana-2412 48 66 delivery delivery NOUN cana-2412 48 67 process process NOUN cana-2412 48 68 [ [ X cana-2412 48 69 31 31 NUM cana-2412 48 70 ] ] PUNCT cana-2412 48 71 . . PUNCT cana-2412 49 1 chamkha chamkha ADJ cana-2412 49 2 and and CCONJ cana-2412 49 3 team team NOUN cana-2412 49 4 studied study VERB cana-2412 49 5 the the DET cana-2412 49 6 effect effect NOUN cana-2412 49 7 of of ADP cana-2412 49 8 mhd mhd NOUN cana-2412 49 9 flow flow NOUN cana-2412 49 10 of of ADP cana-2412 49 11 an an DET cana-2412 49 12 electrically electrically ADV cana-2412 49 13 conducting conduct VERB cana-2412 49 14 second second ADJ cana-2412 49 15 - - PUNCT cana-2412 49 16 grade grade NOUN cana-2412 49 17 fluid fluid NOUN cana-2412 49 18 through through ADP cana-2412 49 19 porous porous ADJ cana-2412 49 20 medium medium NOUN cana-2412 49 21 over over ADP cana-2412 49 22 a a DET cana-2412 49 23 semi semi ADJ cana-2412 49 24 - - ADJ cana-2412 49 25 infinite infinite ADJ cana-2412 49 26 vertical vertical ADJ cana-2412 49 27 stretching stretch VERB cana-2412 49 28 sheet sheet NOUN cana-2412 49 29 by by SCONJ cana-2412 49 30 consider consider VERB cana-2412 49 31 the the DET cana-2412 49 32 thermophoresis thermophoresis NOUN cana-2412 49 33 , , PUNCT cana-2412 49 34 thermal thermal ADJ cana-2412 49 35 radiation radiation NOUN cana-2412 49 36 , , PUNCT cana-2412 49 37 and and CCONJ cana-2412 49 38 convective convective ADJ cana-2412 49 39 boundary boundary ADJ cana-2412 49 40 conditions condition NOUN cana-2412 49 41 . . PUNCT cana-2412 50 1 the the DET cana-2412 50 2 fluid fluid ADJ cana-2412 50 3 velocity velocity NOUN cana-2412 50 4 , , PUNCT cana-2412 50 5 temperature temperature NOUN cana-2412 50 6 in in ADP cana-2412 50 7 the the DET cana-2412 50 8 boundary boundary ADJ cana-2412 50 9 layer layer NOUN cana-2412 50 10 area area NOUN cana-2412 50 11 become become VERB cana-2412 50 12 considerably considerably ADV cana-2412 50 13 higher high ADJ cana-2412 50 14 with with ADP cana-2412 50 15 enhance enhance VERB cana-2412 50 16 the the DET cana-2412 50 17 values value NOUN cana-2412 50 18 of of ADP cana-2412 50 19 the the DET cana-2412 50 20 thermal thermal ADJ cana-2412 50 21 radiation radiation NOUN cana-2412 50 22 parameter parameter NOUN cana-2412 50 23 . . PUNCT cana-2412 51 1 the the DET cana-2412 51 2 nusselt nusselt NOUN cana-2412 51 3 number number NOUN cana-2412 51 4 is be AUX cana-2412 51 5 improved improve VERB cana-2412 51 6 by by ADP cana-2412 51 7 increase increase NOUN cana-2412 51 8 of of ADP cana-2412 51 9 surface surface NOUN cana-2412 51 10 convection convection NOUN cana-2412 51 11 parameter parameter NOUN cana-2412 51 12 [ [ X cana-2412 51 13 32 32 NUM cana-2412 51 14 ] ] PUNCT cana-2412 51 15 . . PUNCT cana-2412 52 1 heat heat NOUN cana-2412 52 2 transfer transfer NOUN cana-2412 52 3 on on ADP cana-2412 52 4 the the DET cana-2412 52 5 peristaltic peristaltic ADJ cana-2412 52 6 magnetohydrodynamic magnetohydrodynamic ADJ cana-2412 52 7 flow flow NOUN cana-2412 52 8 of of ADP cana-2412 52 9 a a DET cana-2412 52 10 jeffrey jeffrey PROPN cana-2412 52 11 fluid fluid NOUN cana-2412 52 12 through through ADP cana-2412 52 13 a a DET cana-2412 52 14 porous porous ADJ cana-2412 52 15 medium medium NOUN cana-2412 52 16 in in ADP cana-2412 52 17 a a DET cana-2412 52 18 vertical vertical ADJ cana-2412 52 19 echelon echelon NOUN cana-2412 52 20 under under ADP cana-2412 52 21 the the DET cana-2412 52 22 communications communication NOUN cana-2412 52 23 on on ADP cana-2412 52 24 applied apply VERB cana-2412 52 25 nonlinear nonlinear ADJ cana-2412 52 26 analysis analysis NOUN cana-2412 52 27 issn issn NOUN cana-2412 52 28 : : PUNCT cana-2412 52 29 1074 1074 NUM cana-2412 52 30 - - PUNCT cana-2412 52 31 133x 133x NUM cana-2412 52 32 vol vol NOUN cana-2412 52 33 32 32 NUM cana-2412 52 34 no no NOUN cana-2412 52 35 . . PUNCT cana-2412 53 1 2s 2s NUM cana-2412 53 2 ( ( PUNCT cana-2412 53 3 2025 2025 NUM cana-2412 53 4 ) ) PUNCT cana-2412 53 5 388 388 NUM cana-2412 53 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 53 7 influence influence NOUN cana-2412 53 8 of of ADP cana-2412 53 9 a a DET cana-2412 53 10 uniform uniform ADJ cana-2412 53 11 transverse transverse NOUN cana-2412 53 12 magnetic magnetic ADJ cana-2412 53 13 field field NOUN cana-2412 53 14 normal normal ADJ cana-2412 53 15 to to ADP cana-2412 53 16 the the DET cana-2412 53 17 channel channel NOUN cana-2412 53 18 and and CCONJ cana-2412 53 19 its its PRON cana-2412 53 20 effect effect NOUN cana-2412 53 21 by by ADP cana-2412 53 22 consider consider VERB cana-2412 53 23 the the DET cana-2412 53 24 hall hall NOUN cana-2412 53 25 current current ADJ cana-2412 53 26 into into ADP cana-2412 53 27 account account NOUN cana-2412 53 28 is be AUX cana-2412 53 29 made make VERB cana-2412 53 30 by by ADP cana-2412 53 31 chamkha chamkha ADJ cana-2412 53 32 team team NOUN cana-2412 53 33 in in ADP cana-2412 53 34 the the DET cana-2412 53 35 year year NOUN cana-2412 53 36 2018 2018 NUM cana-2412 53 37 . . PUNCT cana-2412 54 1 the the DET cana-2412 54 2 size size NOUN cana-2412 54 3 of of ADP cana-2412 54 4 the the DET cana-2412 54 5 trapping trap VERB cana-2412 54 6 bolus bolus ADJ cana-2412 54 7 decreases decrease NOUN cana-2412 54 8 by by ADP cana-2412 54 9 enhance enhance NOUN cana-2412 54 10 in in ADP cana-2412 54 11 hartmann hartmann PROPN cana-2412 54 12 number number NOUN cana-2412 54 13 or or CCONJ cana-2412 54 14 permeability permeability NOUN cana-2412 54 15 parameter parameter NOUN cana-2412 54 16 and and CCONJ cana-2412 54 17 raises raise VERB cana-2412 54 18 with with ADP cana-2412 54 19 increase increase NOUN cana-2412 54 20 of of ADP cana-2412 54 21 hall hall NOUN cana-2412 54 22 parameter parameter NOUN cana-2412 54 23 or or CCONJ cana-2412 54 24 jeffrey jeffrey PROPN cana-2412 54 25 number number NOUN cana-2412 54 26 [ [ X cana-2412 54 27 33 33 NUM cana-2412 54 28 ] ] PUNCT cana-2412 54 29 . . PUNCT cana-2412 55 1 recently recently ADV cana-2412 55 2 , , PUNCT cana-2412 55 3 cooling cool VERB cana-2412 55 4 of of ADP cana-2412 55 5 electronic electronic ADJ cana-2412 55 6 devices device NOUN cana-2412 55 7 , , PUNCT cana-2412 55 8 gadgets gadget NOUN cana-2412 55 9 , , PUNCT cana-2412 55 10 etc etc X cana-2412 55 11 . . X cana-2412 55 12 is be AUX cana-2412 55 13 the the DET cana-2412 55 14 major major ADJ cana-2412 55 15 industrial industrial ADJ cana-2412 55 16 requirement requirement NOUN cana-2412 55 17 . . PUNCT cana-2412 56 1 due due ADP cana-2412 56 2 to to ADP cana-2412 56 3 the the DET cana-2412 56 4 lower low ADJ cana-2412 56 5 thermal thermal ADJ cana-2412 56 6 conductivity conductivity NOUN cana-2412 56 7 rate rate NOUN cana-2412 56 8 of of ADP cana-2412 56 9 ordinary ordinary ADJ cana-2412 56 10 base base NOUN cana-2412 56 11 fluids fluid NOUN cana-2412 56 12 like like ADP cana-2412 56 13 water water NOUN cana-2412 56 14 , , PUNCT cana-2412 56 15 ethylene ethylene NOUN cana-2412 56 16 glycol glycol NOUN cana-2412 56 17 , , PUNCT cana-2412 56 18 oil oil NOUN cana-2412 56 19 , , PUNCT cana-2412 56 20 etc etc X cana-2412 56 21 . . X cana-2412 57 1 the the DET cana-2412 57 2 nanoscale nanoscale NOUN cana-2412 57 3 solid solid ADJ cana-2412 57 4 particles particle NOUN cana-2412 57 5 are be AUX cana-2412 57 6 mixed mix VERB cana-2412 57 7 with with ADP cana-2412 57 8 the the DET cana-2412 57 9 fluids fluid NOUN cana-2412 57 10 which which PRON cana-2412 57 11 results result VERB cana-2412 57 12 in in ADP cana-2412 57 13 vary vary VERB cana-2412 57 14 the the DET cana-2412 57 15 thermophysical thermophysical ADJ cana-2412 57 16 characteristics characteristic NOUN cana-2412 57 17 of of ADP cana-2412 57 18 these these DET cana-2412 57 19 fluids fluid NOUN cana-2412 57 20 and and CCONJ cana-2412 57 21 improved improve VERB cana-2412 57 22 heat heat NOUN cana-2412 57 23 transfer transfer NOUN cana-2412 57 24 rate rate NOUN cana-2412 57 25 dramatically dramatically ADV cana-2412 57 26 . . PUNCT cana-2412 58 1 in in ADP cana-2412 58 2 the the DET cana-2412 58 3 year year NOUN cana-2412 58 4 1996 1996 NUM cana-2412 58 5 the the DET cana-2412 58 6 first first ADJ cana-2412 58 7 report report NOUN cana-2412 58 8 on on ADP cana-2412 58 9 the the DET cana-2412 58 10 nature nature NOUN cana-2412 58 11 of of ADP cana-2412 58 12 the the DET cana-2412 58 13 colloidal colloidal NOUN cana-2412 58 14 suspension suspension NOUN cana-2412 58 15 , , PUNCT cana-2412 58 16 studied study VERB cana-2412 58 17 by by ADP cana-2412 58 18 choi choi NOUN cana-2412 58 19 and and CCONJ cana-2412 58 20 team team NOUN cana-2412 58 21 members member NOUN cana-2412 58 22 [ [ X cana-2412 58 23 34 34 NUM cana-2412 58 24 ] ] PUNCT cana-2412 58 25 . . PUNCT cana-2412 59 1 recently recently ADV cana-2412 59 2 , , PUNCT cana-2412 59 3 advancement advancement NOUN cana-2412 59 4 of of ADP cana-2412 59 5 nanofluids nanofluid NOUN cana-2412 59 6 , , PUNCT cana-2412 59 7 its its PRON cana-2412 59 8 mathematical mathematical ADJ cana-2412 59 9 modelling modelling NOUN cana-2412 59 10 , , PUNCT cana-2412 59 11 etc etc X cana-2412 59 12 . . X cana-2412 59 13 plays play VERB cana-2412 59 14 a a DET cana-2412 59 15 vital vital ADJ cana-2412 59 16 role role NOUN cana-2412 59 17 in in ADP cana-2412 59 18 industrial industrial ADJ cana-2412 59 19 and and CCONJ cana-2412 59 20 nanotechnology nanotechnology NOUN cana-2412 59 21 . . PUNCT cana-2412 60 1 nanofluids nanofluids PROPN cana-2412 60 2 are be AUX cana-2412 60 3 used use VERB cana-2412 60 4 in in ADP cana-2412 60 5 various various ADJ cana-2412 60 6 applications application NOUN cana-2412 60 7 like like ADP cana-2412 60 8 cooling cool VERB cana-2412 60 9 of of ADP cana-2412 60 10 electronics electronic NOUN cana-2412 60 11 devices device NOUN cana-2412 60 12 / / SYM cana-2412 60 13 industry industry NOUN cana-2412 60 14 , , PUNCT cana-2412 60 15 nuclear nuclear ADJ cana-2412 60 16 reactor reactor NOUN cana-2412 60 17 safety safety NOUN cana-2412 60 18 , , PUNCT cana-2412 60 19 heat heat NOUN cana-2412 60 20 ex ex NOUN cana-2412 60 21 - - NOUN cana-2412 60 22 changer changer ADJ cana-2412 60 23 , , PUNCT cana-2412 60 24 biomedicine biomedicine NOUN cana-2412 60 25 , , PUNCT cana-2412 60 26 hyperthermia hyperthermia NOUN cana-2412 60 27 , , PUNCT cana-2412 60 28 vehicle vehicle NOUN cana-2412 60 29 thermal thermal ADJ cana-2412 60 30 management management NOUN cana-2412 60 31 , , PUNCT cana-2412 60 32 engine engine NOUN cana-2412 60 33 cooling cooling NOUN cana-2412 60 34 , , PUNCT cana-2412 60 35 many many ADJ cana-2412 60 36 others other NOUN cana-2412 60 37 . . PUNCT cana-2412 61 1 two two NUM cana-2412 61 2 mechanisms mechanism NOUN cana-2412 61 3 have have AUX cana-2412 61 4 been be AUX cana-2412 61 5 processed process VERB cana-2412 61 6 to to PART cana-2412 61 7 elucidate elucidate VERB cana-2412 61 8 the the DET cana-2412 61 9 increase increase NOUN cana-2412 61 10 effective effective ADJ cana-2412 61 11 thermal thermal ADJ cana-2412 61 12 conductivity conductivity NOUN cana-2412 61 13 in in ADP cana-2412 61 14 nanofluids nanofluid NOUN cana-2412 61 15 , , PUNCT cana-2412 61 16 one one NUM cana-2412 61 17 is be AUX cana-2412 61 18 due due ADJ cana-2412 61 19 higher high ADJ cana-2412 61 20 thermal thermal ADJ cana-2412 61 21 conductivity conductivity NOUN cana-2412 61 22 of of ADP cana-2412 61 23 the the DET cana-2412 61 24 nanoparticles nanoparticle NOUN cana-2412 61 25 and and CCONJ cana-2412 61 26 second second ADJ cana-2412 61 27 one one NOUN cana-2412 61 28 is be AUX cana-2412 61 29 contribution contribution NOUN cana-2412 61 30 from from ADP cana-2412 61 31 the the DET cana-2412 61 32 brownian brownian ADJ cana-2412 61 33 motion motion NOUN cana-2412 61 34 of of ADP cana-2412 61 35 the the DET cana-2412 61 36 nanoparticles nanoparticle NOUN cana-2412 61 37 . . PUNCT cana-2412 62 1 the the DET cana-2412 62 2 implication implication NOUN cana-2412 62 3 of of ADP cana-2412 62 4 the the DET cana-2412 62 5 two two NUM cana-2412 62 6 contributions contribution NOUN cana-2412 62 7 is be AUX cana-2412 62 8 closely closely ADV cana-2412 62 9 associated associate VERB cana-2412 62 10 to to ADP cana-2412 62 11 the the DET cana-2412 62 12 bulk bulk ADJ cana-2412 62 13 temperature temperature NOUN cana-2412 62 14 of of ADP cana-2412 62 15 the the DET cana-2412 62 16 nanoparticle nanoparticle NOUN cana-2412 62 17 ’s ’s PART cana-2412 62 18 suspension suspension NOUN cana-2412 62 19 , , PUNCT cana-2412 62 20 the the DET cana-2412 62 21 size size NOUN cana-2412 62 22 and and CCONJ cana-2412 62 23 the the DET cana-2412 62 24 volume volume NOUN cana-2412 62 25 fraction fraction NOUN cana-2412 62 26 of of ADP cana-2412 62 27 the the DET cana-2412 62 28 nanoparticles nanoparticle NOUN cana-2412 62 29 in in ADP cana-2412 62 30 the the DET cana-2412 62 31 nanofluid nanofluid NOUN cana-2412 62 32 , , PUNCT cana-2412 62 33 as as ADV cana-2412 62 34 well well ADV cana-2412 62 35 as as ADP cana-2412 62 36 the the DET cana-2412 62 37 thermophysical thermophysical ADJ cana-2412 62 38 properties property NOUN cana-2412 62 39 of of ADP cana-2412 62 40 the the DET cana-2412 62 41 nanoparticles nanoparticle NOUN cana-2412 62 42 and and CCONJ cana-2412 62 43 the the DET cana-2412 62 44 base base ADJ cana-2412 62 45 fluid fluid NOUN cana-2412 62 46 materials material NOUN cana-2412 62 47 . . PUNCT cana-2412 63 1 many many ADJ cana-2412 63 2 researchers researcher NOUN cana-2412 63 3 in in ADP cana-2412 63 4 fluid fluid ADJ cana-2412 63 5 dynamics dynamic NOUN cana-2412 63 6 are be AUX cana-2412 63 7 extended extend VERB cana-2412 63 8 an an DET cana-2412 63 9 interest interest NOUN cana-2412 63 10 in in ADP cana-2412 63 11 nanofluids nanofluid NOUN cana-2412 63 12 over over ADP cana-2412 63 13 the the DET cana-2412 63 14 last last ADJ cana-2412 63 15 few few ADJ cana-2412 63 16 years year NOUN cana-2412 63 17 owing owe VERB cana-2412 63 18 to to ADP cana-2412 63 19 its its PRON cana-2412 63 20 potential potential ADJ cana-2412 63 21 applications application NOUN cana-2412 63 22 . . PUNCT cana-2412 64 1 it it PRON cana-2412 64 2 directed direct VERB cana-2412 64 3 the the DET cana-2412 64 4 mixing mixing NOUN cana-2412 64 5 of of ADP cana-2412 64 6 fluids fluid NOUN cana-2412 64 7 with with ADP cana-2412 64 8 metal metal NOUN cana-2412 64 9 nanoparticles nanoparticle NOUN cana-2412 64 10 towards towards PART cana-2412 64 11 improve improve VERB cana-2412 64 12 the the DET cana-2412 64 13 heat heat NOUN cana-2412 64 14 transfer transfer NOUN cana-2412 64 15 capacity capacity NOUN cana-2412 64 16 of of ADP cana-2412 64 17 the the DET cana-2412 64 18 fluids fluid NOUN cana-2412 64 19 . . PUNCT cana-2412 65 1 brownian brownian ADJ cana-2412 65 2 motion motion NOUN cana-2412 65 3 of of ADP cana-2412 65 4 nanoparticles nanoparticle NOUN cana-2412 65 5 at at ADP cana-2412 65 6 molecular molecular ADJ cana-2412 65 7 and and CCONJ cana-2412 65 8 nanoscale nanoscale NOUN cana-2412 65 9 levels level NOUN cana-2412 65 10 is be AUX cana-2412 65 11 an an DET cana-2412 65 12 important important ADJ cana-2412 65 13 nanoscale nanoscale NOUN cana-2412 65 14 mechanism mechanism NOUN cana-2412 65 15 governing govern VERB cana-2412 65 16 its its PRON cana-2412 65 17 thermal thermal ADJ cana-2412 65 18 behavior behavior NOUN cana-2412 65 19 . . PUNCT cana-2412 66 1 in in ADP cana-2412 66 2 nanofluid nanofluid PROPN cana-2412 66 3 , , PUNCT cana-2412 66 4 due due ADP cana-2412 66 5 to to ADP cana-2412 66 6 its its PRON cana-2412 66 7 size size NOUN cana-2412 66 8 of of ADP cana-2412 66 9 the the DET cana-2412 66 10 nanoparticles nanoparticle NOUN cana-2412 66 11 , , PUNCT cana-2412 66 12 the the DET cana-2412 66 13 brownian brownian ADJ cana-2412 66 14 motion motion NOUN cana-2412 66 15 takes take VERB cana-2412 66 16 place place NOUN cana-2412 66 17 , , PUNCT cana-2412 66 18 which which PRON cana-2412 66 19 could could AUX cana-2412 66 20 influence influence VERB cana-2412 66 21 the the DET cana-2412 66 22 heat heat NOUN cana-2412 66 23 transfer transfer NOUN cana-2412 66 24 properties property NOUN cana-2412 66 25 . . PUNCT cana-2412 67 1 brownian brownian ADJ cana-2412 67 2 motion motion NOUN cana-2412 67 3 aids aid NOUN cana-2412 67 4 to to PART cana-2412 67 5 warm warm VERB cana-2412 67 6 the the DET cana-2412 67 7 boundary boundary ADJ cana-2412 67 8 layer layer NOUN cana-2412 67 9 and and CCONJ cana-2412 67 10 simultaneously simultaneously ADV cana-2412 67 11 aggravates aggravate VERB cana-2412 67 12 particle particle NOUN cana-2412 67 13 deposition deposition NOUN cana-2412 67 14 away away ADV cana-2412 67 15 from from ADP cana-2412 67 16 the the DET cana-2412 67 17 fluid fluid ADJ cana-2412 67 18 regime regime NOUN cana-2412 67 19 , , PUNCT cana-2412 67 20 thereby thereby ADV cana-2412 67 21 accounting account VERB cana-2412 67 22 for for ADP cana-2412 67 23 the the DET cana-2412 67 24 reduced reduce VERB cana-2412 67 25 concentration concentration NOUN cana-2412 67 26 magnitudes magnitude NOUN cana-2412 67 27 . . PUNCT cana-2412 68 1 choi choi NOUN cana-2412 68 2 and and CCONJ cana-2412 68 3 team team NOUN cana-2412 68 4 members member NOUN cana-2412 68 5 [ [ X cana-2412 68 6 35 35 NUM cana-2412 68 7 ] ] PUNCT cana-2412 68 8 studied study VERB cana-2412 68 9 addition addition NOUN cana-2412 68 10 of of ADP cana-2412 68 11 small small ADJ cana-2412 68 12 amount amount NOUN cana-2412 68 13 of of ADP cana-2412 68 14 nanoparticles nanoparticle NOUN cana-2412 68 15 to to ADP cana-2412 68 16 the the DET cana-2412 68 17 base base ADJ cana-2412 68 18 fluid fluid NOUN cana-2412 68 19 which which PRON cana-2412 68 20 results result VERB cana-2412 68 21 in in ADP cana-2412 68 22 increased increase VERB cana-2412 68 23 thermal thermal ADJ cana-2412 68 24 conductivity conductivity NOUN cana-2412 68 25 . . PUNCT cana-2412 69 1 investigation investigation NOUN cana-2412 69 2 on on ADP cana-2412 69 3 boundary boundary ADJ cana-2412 69 4 layer layer NOUN cana-2412 69 5 flow flow NOUN cana-2412 69 6 of of ADP cana-2412 69 7 casson casson PROPN cana-2412 69 8 nanofluid nanofluid PROPN cana-2412 69 9 over over ADP cana-2412 69 10 a a DET cana-2412 69 11 vertical vertical ADJ cana-2412 69 12 exponentially exponentially ADV cana-2412 69 13 stretching stretch VERB cana-2412 69 14 cylinder cylinder NOUN cana-2412 69 15 is be AUX cana-2412 69 16 made make VERB cana-2412 69 17 by by ADP cana-2412 69 18 malik malik PROPN cana-2412 69 19 et et PROPN cana-2412 69 20 al al PROPN cana-2412 69 21 . . PUNCT cana-2412 70 1 [ [ X cana-2412 70 2 36 36 NUM cana-2412 70 3 ] ] PUNCT cana-2412 70 4 . . PUNCT cana-2412 71 1 haq haq PROPN cana-2412 71 2 et et PROPN cana-2412 71 3 al al PROPN cana-2412 71 4 . . PROPN cana-2412 71 5 , , PUNCT cana-2412 71 6 reported report VERB cana-2412 71 7 on on ADP cana-2412 71 8 heat heat NOUN cana-2412 71 9 transfer transfer NOUN cana-2412 71 10 and and CCONJ cana-2412 71 11 mhd mhd NOUN cana-2412 71 12 effects effect NOUN cana-2412 71 13 on on ADP cana-2412 71 14 casson casson PROPN cana-2412 71 15 nanofluid nanofluid PROPN cana-2412 71 16 flow flow NOUN cana-2412 71 17 over over ADP cana-2412 71 18 a a DET cana-2412 71 19 shrinking shrink VERB cana-2412 71 20 sheet sheet NOUN cana-2412 71 21 [ [ X cana-2412 71 22 37 37 NUM cana-2412 71 23 ] ] PUNCT cana-2412 71 24 . . PUNCT cana-2412 72 1 studies study NOUN cana-2412 72 2 on on ADP cana-2412 72 3 mhd mhd NOUN cana-2412 72 4 mixed mixed ADJ cana-2412 72 5 convection convection NOUN cana-2412 72 6 stagnation stagnation NOUN cana-2412 72 7 - - PUNCT cana-2412 72 8 point point NOUN cana-2412 72 9 flow flow NOUN cana-2412 72 10 of of ADP cana-2412 72 11 a a DET cana-2412 72 12 non non ADJ cana-2412 72 13 - - ADJ cana-2412 72 14 newtonian newtonian ADJ cana-2412 72 15 power power NOUN cana-2412 72 16 - - PUNCT cana-2412 72 17 law law NOUN cana-2412 72 18 nanofluid nanofluid NOUN cana-2412 72 19 for for ADP cana-2412 72 20 a a DET cana-2412 72 21 stretching stretch VERB cana-2412 72 22 surface surface NOUN cana-2412 72 23 is be AUX cana-2412 72 24 done do VERB cana-2412 72 25 by by ADP cana-2412 72 26 madhu madhu NOUN cana-2412 72 27 and and CCONJ cana-2412 72 28 kishan kishan PROPN cana-2412 73 1 [ [ X cana-2412 73 2 38 38 NUM cana-2412 73 3 ] ] PUNCT cana-2412 73 4 . . PUNCT cana-2412 74 1 mustafa mustafa PROPN cana-2412 74 2 examined examine VERB cana-2412 74 3 the the DET cana-2412 74 4 mhd mhd NOUN cana-2412 74 5 flow flow NOUN cana-2412 74 6 of of ADP cana-2412 74 7 casson casson PROPN cana-2412 74 8 nanofluid nanofluid PROPN cana-2412 74 9 past past ADP cana-2412 74 10 a a DET cana-2412 74 11 non non ADJ cana-2412 74 12 - - ADJ cana-2412 74 13 linearly linearly ADV cana-2412 74 14 stretching stretch VERB cana-2412 74 15 [ [ PUNCT cana-2412 74 16 39 39 NUM cana-2412 74 17 ] ] PUNCT cana-2412 74 18 . . PUNCT cana-2412 75 1 the the DET cana-2412 75 2 effect effect NOUN cana-2412 75 3 of of ADP cana-2412 75 4 slip slip NOUN cana-2412 75 5 , , PUNCT cana-2412 75 6 convective convective ADJ cana-2412 75 7 boundary boundary ADJ cana-2412 75 8 condition condition NOUN cana-2412 75 9 on on ADP cana-2412 75 10 magnetohydrodynamic magnetohydrodynamic ADJ cana-2412 75 11 stagnation stagnation NOUN cana-2412 75 12 point point NOUN cana-2412 75 13 flow flow NOUN cana-2412 75 14 and and CCONJ cana-2412 75 15 heat heat NOUN cana-2412 75 16 transfer transfer NOUN cana-2412 75 17 due due ADP cana-2412 75 18 to to ADP cana-2412 75 19 casson casson PROPN cana-2412 75 20 nanofluid nanofluid PROPN cana-2412 75 21 past past ADP cana-2412 75 22 a a DET cana-2412 75 23 stretching stretch VERB cana-2412 75 24 sheet sheet NOUN cana-2412 75 25 is be AUX cana-2412 75 26 reported report VERB cana-2412 75 27 by by ADP cana-2412 75 28 ibrahim ibrahim PROPN cana-2412 75 29 and and CCONJ cana-2412 75 30 makinde makinde NOUN cana-2412 76 1 [ [ X cana-2412 76 2 40 40 NUM cana-2412 76 3 ] ] PUNCT cana-2412 76 4 . . PUNCT cana-2412 77 1 chamkha chamkha PROPN cana-2412 77 2 et et PROPN cana-2412 77 3 al al PROPN cana-2412 77 4 . . PROPN cana-2412 77 5 observed observe VERB cana-2412 77 6 the the DET cana-2412 77 7 influence influence NOUN cana-2412 77 8 of of ADP cana-2412 77 9 radiation radiation NOUN cana-2412 77 10 on on ADP cana-2412 77 11 mixed mixed ADJ cana-2412 77 12 convection convection NOUN cana-2412 77 13 in in ADP cana-2412 77 14 the the DET cana-2412 77 15 presence presence NOUN cana-2412 77 16 of of ADP cana-2412 77 17 a a DET cana-2412 77 18 wedge wedge NOUN cana-2412 77 19 implanted implant VERB cana-2412 77 20 in in ADP cana-2412 77 21 a a DET cana-2412 77 22 porous porous ADJ cana-2412 77 23 media medium NOUN cana-2412 77 24 filled fill VERB cana-2412 77 25 with with ADP cana-2412 77 26 a a DET cana-2412 77 27 nanofluid nanofluid NOUN cana-2412 77 28 [ [ X cana-2412 77 29 41 41 NUM cana-2412 77 30 ] ] PUNCT cana-2412 77 31 . . PUNCT cana-2412 78 1 boundary boundary ADJ cana-2412 78 2 layer layer NOUN cana-2412 78 3 flow flow VERB cana-2412 78 4 through through ADP cana-2412 78 5 a a DET cana-2412 78 6 moving move VERB cana-2412 78 7 wedge wedge NOUN cana-2412 78 8 in in ADP cana-2412 78 9 a a DET cana-2412 78 10 nanofluid nanofluid NOUN cana-2412 78 11 is be AUX cana-2412 78 12 explored explore VERB cana-2412 78 13 by by ADP cana-2412 78 14 khan khan PROPN cana-2412 78 15 and and CCONJ cana-2412 78 16 pop pop VERB cana-2412 78 17 [ [ X cana-2412 78 18 42 42 NUM cana-2412 78 19 ] ] PUNCT cana-2412 78 20 . . PUNCT cana-2412 79 1 mahdy mahdy PROPN cana-2412 79 2 team team NOUN cana-2412 79 3 studied study VERB cana-2412 79 4 on on ADP cana-2412 79 5 unsteady unsteady ADJ cana-2412 79 6 mhd mhd PROPN cana-2412 79 7 boundary boundary ADJ cana-2412 79 8 layer layer NOUN cana-2412 79 9 flow flow NOUN cana-2412 79 10 of of ADP cana-2412 79 11 a a DET cana-2412 79 12 moving move VERB cana-2412 79 13 stretched stretch VERB cana-2412 79 14 porous porous ADJ cana-2412 79 15 wedge wedge NOUN cana-2412 79 16 containing contain VERB cana-2412 79 17 tangent tangent NOUN cana-2412 79 18 hyperbolic hyperbolic ADJ cana-2412 79 19 two two NUM cana-2412 79 20 phase phase NOUN cana-2412 79 21 nanofluid nanofluid NOUN cana-2412 79 22 [ [ X cana-2412 79 23 43 43 NUM cana-2412 79 24 ] ] PUNCT cana-2412 79 25 . . PUNCT cana-2412 80 1 studies study NOUN cana-2412 80 2 on on ADP cana-2412 80 3 heat heat NOUN cana-2412 80 4 and and CCONJ cana-2412 80 5 mass mass NOUN cana-2412 80 6 transfer transfer NOUN cana-2412 80 7 nature nature NOUN cana-2412 80 8 of of ADP cana-2412 80 9 casson casson PROPN cana-2412 80 10 nanofluid nanofluid PROPN cana-2412 80 11 flow flow NOUN cana-2412 80 12 over over ADP cana-2412 80 13 a a DET cana-2412 80 14 moving move VERB cana-2412 80 15 wedge wedge NOUN cana-2412 80 16 filed file VERB cana-2412 80 17 is be AUX cana-2412 80 18 made make VERB cana-2412 80 19 by by ADP cana-2412 80 20 amar amar PROPN cana-2412 80 21 and and CCONJ cana-2412 80 22 kishan kishan PROPN cana-2412 80 23 [ [ X cana-2412 80 24 44 44 NUM cana-2412 80 25 ] ] PUNCT cana-2412 80 26 , , PUNCT cana-2412 80 27 jamal jamal PROPN cana-2412 80 28 shah shah PROPN cana-2412 80 29 and and CCONJ cana-2412 80 30 team team NOUN cana-2412 80 31 studied study VERB cana-2412 80 32 the the DET cana-2412 80 33 mhd mhd NOUN cana-2412 80 34 flow flow NOUN cana-2412 80 35 of of ADP cana-2412 80 36 casson casson PROPN cana-2412 80 37 nanofluid nanofluid PROPN cana-2412 80 38 for for ADP cana-2412 80 39 the the DET cana-2412 80 40 applications application NOUN cana-2412 80 41 of of ADP cana-2412 80 42 gold gold ADJ cana-2412 80 43 nanoparticles nanoparticle NOUN cana-2412 80 44 flow flow VERB cana-2412 80 45 [ [ X cana-2412 80 46 45 45 NUM cana-2412 80 47 ] ] PUNCT cana-2412 80 48 and and CCONJ cana-2412 80 49 recently recently ADV cana-2412 80 50 , , PUNCT cana-2412 80 51 investigation investigation NOUN cana-2412 80 52 of of ADP cana-2412 80 53 the the DET cana-2412 80 54 three three NUM cana-2412 80 55 - - PUNCT cana-2412 80 56 dimensional dimensional ADJ cana-2412 80 57 casson casson NOUN cana-2412 80 58 hybrid hybrid ADJ cana-2412 80 59 nanofluid nanofluid PROPN cana-2412 80 60 ( ( PUNCT cana-2412 80 61 zno zno NOUN cana-2412 80 62 + + CCONJ cana-2412 80 63 ag ag PROPN cana-2412 80 64 ) ) PUNCT cana-2412 80 65 flow flow NOUN cana-2412 80 66 under under ADP cana-2412 80 67 the the DET cana-2412 80 68 influence influence NOUN cana-2412 80 69 of of ADP cana-2412 80 70 an an DET cana-2412 80 71 applied apply VERB cana-2412 80 72 changing change VERB cana-2412 80 73 magnetic magnetic ADJ cana-2412 80 74 flux flux NOUN cana-2412 80 75 is be AUX cana-2412 80 76 reported report VERB cana-2412 80 77 , , PUNCT cana-2412 80 78 results result NOUN cana-2412 80 79 shows show VERB cana-2412 80 80 the the DET cana-2412 80 81 hybrid hybrid ADJ cana-2412 80 82 communications communication NOUN cana-2412 80 83 on on ADP cana-2412 80 84 applied apply VERB cana-2412 80 85 nonlinear nonlinear ADJ cana-2412 80 86 analysis analysis NOUN cana-2412 80 87 issn issn NOUN cana-2412 80 88 : : PUNCT cana-2412 80 89 1074 1074 NUM cana-2412 80 90 - - PUNCT cana-2412 80 91 133x 133x NUM cana-2412 80 92 vol vol NOUN cana-2412 80 93 32 32 NUM cana-2412 80 94 no no NOUN cana-2412 80 95 . . PUNCT cana-2412 81 1 2s 2s NUM cana-2412 81 2 ( ( PUNCT cana-2412 81 3 2025 2025 NUM cana-2412 81 4 ) ) PUNCT cana-2412 81 5 389 389 NUM cana-2412 81 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 81 7 nanofluid nanofluid PROPN cana-2412 81 8 performed perform VERB cana-2412 81 9 excellent excellent ADJ cana-2412 81 10 transfer transfer NOUN cana-2412 81 11 of of ADP cana-2412 81 12 heat heat NOUN cana-2412 81 13 , , PUNCT cana-2412 81 14 could could AUX cana-2412 81 15 use use VERB cana-2412 81 16 for for ADP cana-2412 81 17 cooling cool VERB cana-2412 81 18 purposes purpose NOUN cana-2412 81 19 of of ADP cana-2412 81 20 the the DET cana-2412 81 21 system system NOUN cana-2412 81 22 [ [ X cana-2412 81 23 46 46 NUM cana-2412 81 24 ] ] PUNCT cana-2412 81 25 . . PUNCT cana-2412 82 1 chamkha chamkha ADJ cana-2412 82 2 group group NOUN cana-2412 82 3 investigated investigate VERB cana-2412 82 4 the the DET cana-2412 82 5 dissipative dissipative NOUN cana-2412 82 6 mhd mhd NOUN cana-2412 82 7 free free ADJ cana-2412 82 8 convective convective ADJ cana-2412 82 9 nanofluid nanofluid ADJ cana-2412 82 10 flow flow NOUN cana-2412 82 11 past past ADP cana-2412 82 12 a a DET cana-2412 82 13 vertical vertical ADJ cana-2412 82 14 cone cone NOUN cana-2412 82 15 under under ADP cana-2412 82 16 radiative radiative ADJ cana-2412 82 17 chemical chemical ADJ cana-2412 82 18 reaction reaction NOUN cana-2412 82 19 with with ADP cana-2412 82 20 mass mass ADJ cana-2412 82 21 flux flux NOUN cana-2412 82 22 studies study NOUN cana-2412 82 23 [ [ X cana-2412 82 24 47 47 NUM cana-2412 82 25 ] ] PUNCT cana-2412 82 26 . . PUNCT cana-2412 83 1 the the DET cana-2412 83 2 flow flow NOUN cana-2412 83 3 , , PUNCT cana-2412 83 4 heat heat NOUN cana-2412 83 5 and and CCONJ cana-2412 83 6 mass mass NOUN cana-2412 83 7 transfer transfer NOUN cana-2412 83 8 nature nature NOUN cana-2412 83 9 of of ADP cana-2412 83 10 casson casson PROPN cana-2412 83 11 nanofluid nanofluid PROPN cana-2412 83 12 past past ADP cana-2412 83 13 an an DET cana-2412 83 14 exponentially exponentially ADV cana-2412 83 15 stretching stretch VERB cana-2412 83 16 surface surface NOUN cana-2412 83 17 with with ADP cana-2412 83 18 activation activation NOUN cana-2412 83 19 energy energy NOUN cana-2412 83 20 , , PUNCT cana-2412 83 21 hall hall NOUN cana-2412 83 22 current current ADJ cana-2412 83 23 , , PUNCT cana-2412 83 24 thermal thermal ADJ cana-2412 83 25 radiation radiation NOUN cana-2412 83 26 , , PUNCT cana-2412 83 27 heat heat NOUN cana-2412 83 28 source source NOUN cana-2412 83 29 / / SYM cana-2412 83 30 sink sink NOUN cana-2412 83 31 , , PUNCT cana-2412 83 32 brownian brownian ADJ cana-2412 83 33 motion motion NOUN cana-2412 83 34 and and CCONJ cana-2412 83 35 thermophoresis thermophoresis NOUN cana-2412 83 36 studies study NOUN cana-2412 83 37 are be AUX cana-2412 83 38 made make VERB cana-2412 83 39 by by ADP cana-2412 83 40 suresh suresh PROPN cana-2412 83 41 kumar kumar PROPN cana-2412 83 42 group group PROPN cana-2412 84 1 [ [ X cana-2412 84 2 48 48 NUM cana-2412 84 3 ] ] PUNCT cana-2412 84 4 . . PUNCT cana-2412 85 1 to to ADP cana-2412 85 2 the the DET cana-2412 85 3 best good ADJ cana-2412 85 4 of of ADP cana-2412 85 5 author author NOUN cana-2412 85 6 ’s ’s PART cana-2412 85 7 knowledge knowledge NOUN cana-2412 85 8 , , PUNCT cana-2412 85 9 no no DET cana-2412 85 10 reports report NOUN cana-2412 85 11 are be AUX cana-2412 85 12 available available ADJ cana-2412 85 13 in in ADP cana-2412 85 14 the the DET cana-2412 85 15 literature literature NOUN cana-2412 85 16 on on ADP cana-2412 85 17 the the DET cana-2412 85 18 casson casson PROPN cana-2412 85 19 nanofluid nanofluid PROPN cana-2412 85 20 flow flow NOUN cana-2412 85 21 over over ADP cana-2412 85 22 a a DET cana-2412 85 23 wedge wedge NOUN cana-2412 85 24 under under ADP cana-2412 85 25 the the DET cana-2412 85 26 influence influence NOUN cana-2412 85 27 of of ADP cana-2412 85 28 chemical chemical ADJ cana-2412 85 29 reaction reaction NOUN cana-2412 85 30 with with ADP cana-2412 85 31 magnetic magnetic ADJ cana-2412 85 32 field field NOUN cana-2412 85 33 effect effect NOUN cana-2412 85 34 . . PUNCT cana-2412 86 1 in in ADP cana-2412 86 2 the the DET cana-2412 86 3 present present ADJ cana-2412 86 4 study study NOUN cana-2412 86 5 , , PUNCT cana-2412 86 6 investigation investigation NOUN cana-2412 86 7 on on ADP cana-2412 86 8 chemical chemical ADJ cana-2412 86 9 reaction reaction NOUN cana-2412 86 10 influence influence NOUN cana-2412 86 11 , , PUNCT cana-2412 86 12 flow flow NOUN cana-2412 86 13 and and CCONJ cana-2412 86 14 heat heat NOUN cana-2412 86 15 transfer transfer NOUN cana-2412 86 16 characteristics characteristic NOUN cana-2412 86 17 of of ADP cana-2412 86 18 a a DET cana-2412 86 19 casson casson PROPN cana-2412 86 20 nanofluid nanofluid NOUN cana-2412 86 21 on on ADP cana-2412 86 22 a a DET cana-2412 86 23 wedge wedge NOUN cana-2412 86 24 under under ADP cana-2412 86 25 the the DET cana-2412 86 26 influence influence NOUN cana-2412 86 27 of of ADP cana-2412 86 28 uniform uniform ADJ cana-2412 86 29 transverse transverse PROPN cana-2412 86 30 magnetic magnetic ADJ cana-2412 86 31 field field NOUN cana-2412 86 32 is be AUX cana-2412 86 33 made make VERB cana-2412 86 34 , , PUNCT cana-2412 86 35 the the DET cana-2412 86 36 observed observed ADJ cana-2412 86 37 results result NOUN cana-2412 86 38 are be AUX cana-2412 86 39 presented present VERB cana-2412 86 40 . . PUNCT cana-2412 87 1 the the DET cana-2412 87 2 effects effect NOUN cana-2412 87 3 of of ADP cana-2412 87 4 the the DET cana-2412 87 5 various various ADJ cana-2412 87 6 flow flow NOUN cana-2412 87 7 controlling control VERB cana-2412 87 8 parameters parameter NOUN cana-2412 87 9 on on ADP cana-2412 87 10 velocity velocity NOUN cana-2412 87 11 , , PUNCT cana-2412 87 12 temperature temperature NOUN cana-2412 87 13 and and CCONJ cana-2412 87 14 nanoparticle nanoparticle NOUN cana-2412 87 15 volume volume NOUN cana-2412 87 16 fraction fraction NOUN cana-2412 87 17 have have AUX cana-2412 87 18 been be AUX cana-2412 87 19 investigated investigate VERB cana-2412 87 20 numerically numerically ADV cana-2412 87 21 and and CCONJ cana-2412 87 22 analysed analyse VERB cana-2412 87 23 with with ADP cana-2412 87 24 the the DET cana-2412 87 25 help help NOUN cana-2412 87 26 of of ADP cana-2412 87 27 their their PRON cana-2412 87 28 graphical graphical ADJ cana-2412 87 29 representations representation NOUN cana-2412 87 30 . . PUNCT cana-2412 88 1 2 2 X cana-2412 88 2 . . X cana-2412 88 3 model model NOUN cana-2412 88 4 description description NOUN cana-2412 88 5 the the DET cana-2412 88 6 present present ADJ cana-2412 88 7 work work NOUN cana-2412 88 8 is be AUX cana-2412 88 9 formulated formulate VERB cana-2412 88 10 as as SCONJ cana-2412 88 11 mentioned mention VERB cana-2412 88 12 below below ADV cana-2412 88 13 . . PUNCT cana-2412 89 1 β€’ β€’ NUM cana-2412 89 2 consider consider VERB cana-2412 89 3 the the DET cana-2412 89 4 two two NUM cana-2412 89 5 dimensional dimensional ADJ cana-2412 89 6 steady steady ADJ cana-2412 89 7 incompressible incompressible ADJ cana-2412 89 8 flow flow NOUN cana-2412 89 9 and and CCONJ cana-2412 89 10 mhd mhd NOUN cana-2412 89 11 heat heat NOUN cana-2412 89 12 transfer transfer NOUN cana-2412 89 13 of of ADP cana-2412 89 14 a a DET cana-2412 89 15 chemically chemically ADV cana-2412 89 16 reacted react VERB cana-2412 89 17 casson casson PROPN cana-2412 89 18 nanofluid nanofluid PROPN cana-2412 89 19 over over ADP cana-2412 89 20 a a DET cana-2412 89 21 moving move VERB cana-2412 89 22 wedge wedge NOUN cana-2412 89 23 in in ADP cana-2412 89 24 the the DET cana-2412 89 25 occurrence occurrence NOUN cana-2412 89 26 viscous viscous ADJ cana-2412 89 27 and and CCONJ cana-2412 89 28 radiation radiation NOUN cana-2412 89 29 effect effect NOUN cana-2412 89 30 . . PUNCT cana-2412 90 1 β€’ β€’ NOUN cana-2412 90 2 the the DET cana-2412 90 3 induced induced ADJ cana-2412 90 4 magnetic magnetic ADJ cana-2412 90 5 field field NOUN cana-2412 90 6 is be AUX cana-2412 90 7 ignored ignore VERB cana-2412 90 8 due due ADJ cana-2412 90 9 to to ADP cana-2412 90 10 applied apply VERB cana-2412 90 11 magnetic magnetic ADJ cana-2412 90 12 field field NOUN cana-2412 90 13 is be AUX cana-2412 90 14 very very ADV cana-2412 90 15 high high ADJ cana-2412 90 16 . . PUNCT cana-2412 91 1 β€’ β€’ NUM cana-2412 91 2 the the DET cana-2412 91 3 moving move VERB cana-2412 91 4 wedge wedge NOUN cana-2412 91 5 surface surface NOUN cana-2412 91 6 maintains maintain VERB cana-2412 91 7 constant constant ADJ cana-2412 91 8 temperature temperature NOUN cana-2412 91 9 due due ADP cana-2412 91 10 to to ADP cana-2412 91 11 convective convective ADJ cana-2412 91 12 heat heat NOUN cana-2412 91 13 transfer transfer NOUN cana-2412 91 14 and and CCONJ cana-2412 91 15 the the DET cana-2412 91 16 lower low ADJ cana-2412 91 17 surface surface NOUN cana-2412 91 18 of of ADP cana-2412 91 19 the the DET cana-2412 91 20 wedge wedge NOUN cana-2412 91 21 heated heat VERB cana-2412 91 22 by by ADP cana-2412 91 23 convection convection NOUN cana-2412 91 24 from from ADP cana-2412 91 25 a a DET cana-2412 91 26 hot hot ADJ cana-2412 91 27 fluid fluid NOUN cana-2412 91 28 at at ADP cana-2412 91 29 temperature temperature NOUN cana-2412 91 30 𝑇𝑓 𝑇𝑓 PROPN cana-2412 91 31 with with ADP cana-2412 91 32 heat heat NOUN cana-2412 91 33 transfer transfer NOUN cana-2412 91 34 quantity quantity NOUN cana-2412 91 35 β„Žπ‘“. β„Žπ‘“. NOUN cana-2412 91 36 β€’ β€’ NOUN cana-2412 91 37 a a DET cana-2412 91 38 wedge wedge NOUN cana-2412 91 39 surface surface NOUN cana-2412 91 40 is be AUX cana-2412 91 41 extending extend VERB cana-2412 91 42 with with ADP cana-2412 91 43 a a DET cana-2412 91 44 constant constant ADJ cana-2412 91 45 velocity velocity NOUN cana-2412 91 46 π‘ˆπ‘€(π‘₯ π‘ˆπ‘€(π‘₯ NOUN cana-2412 91 47 ) ) PUNCT cana-2412 91 48 is be AUX cana-2412 91 49 subject subject ADJ cana-2412 91 50 to to ADP cana-2412 91 51 the the DET cana-2412 91 52 laminar laminar ADJ cana-2412 91 53 boundary boundary ADJ cana-2412 91 54 layer layer NOUN cana-2412 91 55 that that PRON cana-2412 91 56 is be AUX cana-2412 91 57 indicated indicate VERB cana-2412 91 58 by by ADP cana-2412 91 59 π‘ˆπ‘€(π‘₯ π‘ˆπ‘€(π‘₯ NOUN cana-2412 91 60 ) ) PUNCT cana-2412 91 61 = = SYM cana-2412 91 62 π‘Žπ‘₯π‘š. π‘Žπ‘₯π‘š. NOUN cana-2412 91 63 β€’ β€’ NOUN cana-2412 91 64 when when SCONJ cana-2412 91 65 π‘ˆπ‘€(π‘₯ π‘ˆπ‘€(π‘₯ NOUN cana-2412 91 66 ) ) PUNCT cana-2412 91 67 positive positive ADJ cana-2412 91 68 that that PRON cana-2412 91 69 is be AUX cana-2412 91 70 the the DET cana-2412 91 71 direction direction NOUN cana-2412 91 72 of of ADP cana-2412 91 73 the the DET cana-2412 91 74 extending extend VERB cana-2412 91 75 wedge wedge NOUN cana-2412 91 76 is be AUX cana-2412 91 77 in in ADP cana-2412 91 78 the the DET cana-2412 91 79 identical identical ADJ cana-2412 91 80 way way NOUN cana-2412 91 81 to to ADP cana-2412 91 82 the the DET cana-2412 91 83 fluid fluid ADJ cana-2412 91 84 flow flow NOUN cana-2412 91 85 , , PUNCT cana-2412 91 86 while while SCONJ cana-2412 91 87 it it PRON cana-2412 91 88 negative negative ADJ cana-2412 91 89 indicates indicate VERB cana-2412 91 90 the the DET cana-2412 91 91 shrinking shrink VERB cana-2412 91 92 wedge wedge NOUN cana-2412 91 93 is be AUX cana-2412 91 94 in in ADP cana-2412 91 95 the the DET cana-2412 91 96 reverse reverse ADJ cana-2412 91 97 direction direction NOUN cana-2412 91 98 . . PUNCT cana-2412 92 1 β€’ β€’ NUM cana-2412 92 2 the the DET cana-2412 92 3 π‘ˆ(π‘₯ π‘ˆ(π‘₯ NOUN cana-2412 92 4 ) ) PUNCT cana-2412 92 5 = = PRON cana-2412 92 6 𝑐π‘₯π‘š 𝑐π‘₯π‘š NOUN cana-2412 92 7 here here ADV cana-2412 92 8 π‘Ž π‘Ž PROPN cana-2412 92 9 , , PUNCT cana-2412 92 10 𝑐 𝑐 PROPN cana-2412 92 11 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ cana-2412 92 12 π‘š π‘š PROPN cana-2412 92 13 are be AUX cana-2412 92 14 fixed fix VERB cana-2412 92 15 as as SCONJ cana-2412 92 16 shown show VERB cana-2412 92 17 in in ADP cana-2412 92 18 the the DET cana-2412 92 19 figure figure NOUN cana-2412 92 20 . . PUNCT cana-2412 93 1 fig fig NOUN cana-2412 93 2 . . PUNCT cana-2412 94 1 1 1 X cana-2412 94 2 . . X cana-2412 94 3 flow flow NOUN cana-2412 94 4 configuration configuration NOUN cana-2412 94 5 and and CCONJ cana-2412 94 6 co co ADJ cana-2412 94 7 - - ADJ cana-2412 94 8 ordinate ordinate ADJ cana-2412 94 9 system system NOUN cana-2412 94 10 . . PUNCT cana-2412 95 1 based base VERB cana-2412 95 2 on on ADP cana-2412 95 3 n. n. PROPN cana-2412 95 4 amar amar PROPN cana-2412 95 5 et et PROPN cana-2412 95 6 al al PROPN cana-2412 96 1 [ [ X cana-2412 96 2 49 49 NUM cana-2412 96 3 ] ] PUNCT cana-2412 96 4 & & CCONJ cana-2412 96 5 m. m. PROPN cana-2412 96 6 madhu madhu PROPN cana-2412 96 7 et et PROPN cana-2412 96 8 al al PROPN cana-2412 97 1 [ [ X cana-2412 97 2 50 50 NUM cana-2412 97 3 ] ] PUNCT cana-2412 97 4 the the DET cana-2412 97 5 governing govern VERB cana-2412 97 6 equations equation NOUN cana-2412 97 7 for for ADP cana-2412 97 8 above above ADP cana-2412 97 9 assumptions assumption NOUN cana-2412 97 10 can can AUX cana-2412 97 11 be be AUX cana-2412 97 12 stated state VERB cana-2412 97 13 as as SCONJ cana-2412 97 14 communications communication NOUN cana-2412 97 15 on on ADP cana-2412 97 16 applied apply VERB cana-2412 97 17 nonlinear nonlinear ADJ cana-2412 97 18 analysis analysis NOUN cana-2412 97 19 issn issn NOUN cana-2412 97 20 : : PUNCT cana-2412 97 21 1074 1074 NUM cana-2412 97 22 - - PUNCT cana-2412 97 23 133x 133x NUM cana-2412 97 24 vol vol NOUN cana-2412 97 25 32 32 NUM cana-2412 97 26 no no NOUN cana-2412 97 27 . . PUNCT cana-2412 98 1 2s 2s NUM cana-2412 98 2 ( ( PUNCT cana-2412 98 3 2025 2025 NUM cana-2412 98 4 ) ) PUNCT cana-2412 98 5 390 390 NUM cana-2412 98 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 98 7 continuity continuity NOUN cana-2412 98 8 equation equation NOUN cana-2412 98 9 is be AUX cana-2412 98 10 πœ•π‘’ πœ•π‘’ ADJ cana-2412 98 11 πœ•π‘₯ πœ•π‘₯ NOUN cana-2412 98 12 + + CCONJ cana-2412 98 13 πœ•π‘£ πœ•π‘£ NOUN cana-2412 98 14 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 98 15 = = SYM cana-2412 98 16 0 0 NUM cana-2412 98 17 ( ( PUNCT cana-2412 98 18 1 1 NUM cana-2412 98 19 ) ) PUNCT cana-2412 98 20 momentum momentum NOUN cana-2412 98 21 equation equation NOUN cana-2412 98 22 𝑒 𝑒 X cana-2412 98 23 πœ•π‘’ πœ•π‘’ NOUN cana-2412 98 24 πœ•π‘₯ πœ•π‘₯ NOUN cana-2412 98 25 + + CCONJ cana-2412 98 26 𝑣 𝑣 DET cana-2412 98 27 πœ•π‘’ πœ•π‘’ NOUN cana-2412 98 28 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 99 1 = = PUNCT cana-2412 99 2 βˆ’ βˆ’ PROPN cana-2412 99 3 1 1 NUM cana-2412 99 4 𝜌 𝜌 NOUN cana-2412 99 5 𝑑𝑝 𝑑𝑝 ADV cana-2412 99 6 𝑑π‘₯ 𝑑π‘₯ VERB cana-2412 99 7 + + ADJ cana-2412 99 8 𝜐 𝜐 PROPN cana-2412 99 9 ( ( PUNCT cana-2412 99 10 1 1 NUM cana-2412 99 11 + + SYM cana-2412 99 12 1 1 NUM cana-2412 99 13 Ξ³ Ξ³ NOUN cana-2412 99 14 ) ) PUNCT cana-2412 99 15 πœ•2𝑒 πœ•2𝑒 PROPN cana-2412 99 16 πœ•π‘¦2 πœ•π‘¦2 PROPN cana-2412 99 17 + + CCONJ cana-2412 99 18 ( ( PUNCT cana-2412 99 19 𝜎𝐡0 𝜎𝐡0 PROPN cana-2412 99 20 2(π‘₯ 2(π‘₯ NUM cana-2412 99 21 ) ) PUNCT cana-2412 99 22 𝜌 𝜌 X cana-2412 99 23 ) ) PUNCT cana-2412 99 24 ( ( PUNCT cana-2412 99 25 π‘ˆ(π‘₯ π‘ˆ(π‘₯ NOUN cana-2412 99 26 ) ) PUNCT cana-2412 99 27 βˆ’ βˆ’ NOUN cana-2412 99 28 𝑒 𝑒 X cana-2412 99 29 ) ) PUNCT cana-2412 99 30 ( ( PUNCT cana-2412 99 31 2 2 X cana-2412 99 32 ) ) PUNCT cana-2412 99 33 equation equation NOUN cana-2412 99 34 of of ADP cana-2412 99 35 thermal thermal ADJ cana-2412 99 36 energy energy NOUN cana-2412 99 37 𝑒 𝑒 X cana-2412 99 38 πœ•π‘‡ πœ•π‘‡ X cana-2412 99 39 πœ•π‘₯ πœ•π‘₯ NOUN cana-2412 99 40 + + CCONJ cana-2412 99 41 𝑣 𝑣 DET cana-2412 99 42 πœ•π‘‡ πœ•π‘‡ NOUN cana-2412 99 43 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 99 44 = = SYM cana-2412 99 45 𝛼 𝛼 PROPN cana-2412 99 46 πœ•2𝑇 πœ•2𝑇 NOUN cana-2412 99 47 πœ•π‘¦2 πœ•π‘¦2 PROPN cana-2412 99 48 + + CCONJ cana-2412 99 49 πœ— πœ— PROPN cana-2412 99 50 πœŒπ‘π‘ πœŒπ‘π‘ NOUN cana-2412 99 51 ( ( PUNCT cana-2412 99 52 πœ•π‘’ πœ•π‘’ NOUN cana-2412 99 53 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 99 54 ) ) PUNCT cana-2412 99 55 2 2 NUM cana-2412 99 56 + + CCONJ cana-2412 99 57 𝑄0 𝑄0 PROPN cana-2412 99 58 πœŒπΆπ‘ πœŒπΆπ‘ X cana-2412 99 59 ( ( PUNCT cana-2412 99 60 𝑇 𝑇 PROPN cana-2412 99 61 βˆ’ βˆ’ PROPN cana-2412 99 62 π‘‡βˆž π‘‡βˆž PROPN cana-2412 99 63 ) ) PUNCT cana-2412 99 64 βˆ’ βˆ’ PROPN cana-2412 99 65 1 1 NUM cana-2412 99 66 πœŒπΆπ‘ πœŒπΆπ‘ ADJ cana-2412 99 67 ( ( PUNCT cana-2412 99 68 πœ•π‘žπ‘Ÿ πœ•π‘žπ‘Ÿ ADJ cana-2412 99 69 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 99 70 ) ) PUNCT cana-2412 99 71 ( ( PUNCT cana-2412 99 72 3 3 X cana-2412 99 73 ) ) PUNCT cana-2412 99 74 equation equation NOUN cana-2412 99 75 of of ADP cana-2412 99 76 species specie NOUN cana-2412 99 77 concentration concentration NOUN cana-2412 99 78 𝑒 𝑒 PRON cana-2412 99 79 πœ•πΆ πœ•πΆ PROPN cana-2412 99 80 πœ•π‘₯ πœ•π‘₯ NOUN cana-2412 99 81 + + CCONJ cana-2412 99 82 𝑣 𝑣 DET cana-2412 99 83 πœ•πΆ πœ•πΆ NOUN cana-2412 99 84 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 99 85 = = SYM cana-2412 99 86 𝐷𝐡 𝐷𝐡 PROPN cana-2412 99 87 πœ•2𝐢 πœ•2𝐢 NOUN cana-2412 99 88 πœ•π‘¦2 πœ•π‘¦2 NOUN cana-2412 99 89 + + CCONJ cana-2412 99 90 𝐷𝑇 𝐷𝑇 PROPN cana-2412 99 91 π‘‡βˆž π‘‡βˆž PROPN cana-2412 99 92 πœ•2𝑇 πœ•2𝑇 NOUN cana-2412 99 93 πœ•π‘¦2 πœ•π‘¦2 VERB cana-2412 99 94 βˆ’ βˆ’ PROPN cana-2412 99 95 𝐾0(𝐢 𝐾0(𝐢 PRON cana-2412 99 96 βˆ’ βˆ’ NOUN cana-2412 99 97 𝐢∞ 𝐢∞ PROPN cana-2412 99 98 ) ) PUNCT cana-2412 99 99 ( ( PUNCT cana-2412 99 100 4 4 X cana-2412 99 101 ) ) PUNCT cana-2412 99 102 the the DET cana-2412 99 103 associated associated ADJ cana-2412 99 104 boundary boundary ADJ cana-2412 99 105 conditions condition NOUN cana-2412 99 106 are be AUX cana-2412 99 107 𝑒 𝑒 PRON cana-2412 99 108 = = PUNCT cana-2412 99 109 π‘ˆ π‘ˆ NOUN cana-2412 99 110 𝑑𝑓 𝑑𝑓 NOUN cana-2412 99 111 π‘‘πœ‚ π‘‘πœ‚ VERB cana-2412 99 112 = = SYM cana-2412 99 113 𝑐π‘₯π‘šπ‘“β€²(πœ‚)π‘₯ 𝑐π‘₯π‘šπ‘“β€²(πœ‚)π‘₯ PROPN cana-2412 99 114 , , PUNCT cana-2412 99 115 𝑣 𝑣 X cana-2412 99 116 = = SYM cana-2412 99 117 𝑣𝑀(π‘₯ 𝑣𝑀(π‘₯ X cana-2412 99 118 ) ) PUNCT cana-2412 99 119 = = SYM cana-2412 99 120 𝑣0√π‘₯π‘šβˆ’1 𝑣0√π‘₯π‘šβˆ’1 NOUN cana-2412 99 121 , , PUNCT cana-2412 99 122 βˆ’π‘˜ βˆ’π‘˜ VERB cana-2412 99 123 πœ•π‘‡ πœ•π‘‡ PRON cana-2412 99 124 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 99 125 = = PUNCT cana-2412 100 1 β„Žπ‘“(𝑇𝑓 β„Žπ‘“(𝑇𝑓 ADP cana-2412 100 2 βˆ’ βˆ’ PROPN cana-2412 100 3 𝑇𝑀 𝑇𝑀 PROPN cana-2412 100 4 ) ) PUNCT cana-2412 100 5 , , PUNCT cana-2412 100 6 𝐷𝐡 𝐷𝐡 PROPN cana-2412 100 7 πœ•πΆ πœ•πΆ NOUN cana-2412 100 8 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 100 9 + + CCONJ cana-2412 100 10 𝐷𝑇 𝐷𝑇 PROPN cana-2412 100 11 π‘‡βˆž π‘‡βˆž PROPN cana-2412 100 12 ( ( PUNCT cana-2412 100 13 πœ•π‘‡ πœ•π‘‡ X cana-2412 100 14 πœ•π‘¦ πœ•π‘¦ X cana-2412 100 15 ) ) PUNCT cana-2412 101 1 = = SYM cana-2412 101 2 0 0 NUM cana-2412 102 1 π‘Žπ‘‘ π‘Žπ‘‘ PRON cana-2412 102 2 𝑦 𝑦 NOUN cana-2412 102 3 = = SYM cana-2412 102 4 0 0 NUM cana-2412 102 5 ( ( PUNCT cana-2412 102 6 5 5 NUM cana-2412 102 7 ) ) PUNCT cana-2412 102 8 𝑒 𝑒 PROPN cana-2412 102 9 β†’ β†’ SYM cana-2412 102 10 π‘ˆ(π‘₯ π‘ˆ(π‘₯ NUM cana-2412 102 11 ) ) PUNCT cana-2412 102 12 , , PUNCT cana-2412 102 13 𝑇 𝑇 PROPN cana-2412 102 14 β†’ β†’ SYM cana-2412 102 15 π‘‡βˆž π‘‡βˆž PROPN cana-2412 102 16 , , PUNCT cana-2412 102 17 𝐢 𝐢 PROPN cana-2412 102 18 β†’ β†’ SYM cana-2412 102 19 𝐢∞ 𝐢∞ PROPN cana-2412 102 20 , , PUNCT cana-2412 102 21 π‘Žπ‘  π‘Žπ‘  PROPN cana-2412 102 22 𝑦 𝑦 PROPN cana-2412 102 23 β†’ β†’ SYM cana-2412 102 24 ∞ ∞ PROPN cana-2412 102 25 ( ( PUNCT cana-2412 102 26 6 6 NUM cana-2412 102 27 ) ) PUNCT cana-2412 102 28 where where SCONJ cana-2412 102 29 u u NOUN cana-2412 102 30 and and CCONJ cana-2412 102 31 v v NOUN cana-2412 102 32 denotes denote VERB cana-2412 102 33 the the DET cana-2412 102 34 velocities velocity NOUN cana-2412 102 35 in in ADP cana-2412 102 36 the the DET cana-2412 102 37 direction direction NOUN cana-2412 102 38 of of ADP cana-2412 102 39 x x X cana-2412 102 40 -and -and PUNCT cana-2412 102 41 y y PROPN cana-2412 102 42 -respectively -respectively ADV cana-2412 102 43 , , PUNCT cana-2412 102 44 𝛾 𝛾 PROPN cana-2412 102 45 is be AUX cana-2412 102 46 the the DET cana-2412 102 47 casson casson PROPN cana-2412 102 48 fluid fluid PROPN cana-2412 102 49 parameter parameter NOUN cana-2412 102 50 , , PUNCT cana-2412 102 51   PROPN cana-2412 102 52 is be AUX cana-2412 102 53 the the DET cana-2412 102 54 kinematic kinematic ADJ cana-2412 102 55 viscosity viscosity NOUN cana-2412 102 56 , , PUNCT cana-2412 102 57 f f NOUN cana-2412 102 58 is be AUX cana-2412 102 59 the the DET cana-2412 102 60 density density NOUN cana-2412 102 61 of of ADP cana-2412 102 62 the the DET cana-2412 102 63 base base NOUN cana-2412 102 64 fluid fluid NOUN cana-2412 102 65 , , PUNCT cana-2412 102 66   PROPN cana-2412 102 67 is be AUX cana-2412 102 68 the the DET cana-2412 102 69 electrical electrical ADJ cana-2412 102 70 conductivity conductivity NOUN cana-2412 102 71 , , PUNCT cana-2412 102 72   NUM cana-2412 102 73 is be AUX cana-2412 102 74 the the DET cana-2412 102 75 thermal thermal ADJ cana-2412 102 76 diffusivity diffusivity NOUN cana-2412 102 77 , , PUNCT cana-2412 102 78 ( ( PUNCT cana-2412 102 79 ) ) PUNCT cana-2412 102 80 pc pc NOUN cana-2412 102 81 is be AUX cana-2412 102 82 the the DET cana-2412 102 83 effective effective ADJ cana-2412 102 84 heat heat NOUN cana-2412 102 85 capacity capacity NOUN cana-2412 102 86 of of ADP cana-2412 102 87 the the DET cana-2412 102 88 nano nano NOUN cana-2412 102 89 particles particle NOUN cana-2412 102 90 , , PUNCT cana-2412 102 91 ( ( PUNCT cana-2412 102 92 ) ) PUNCT cana-2412 102 93 fc fc PROPN cana-2412 102 94 is be AUX cana-2412 102 95 the the DET cana-2412 102 96 heat heat NOUN cana-2412 102 97 capacity capacity NOUN cana-2412 102 98 of of ADP cana-2412 102 99 the the DET cana-2412 102 100 base base NOUN cana-2412 102 101 fluid fluid NOUN cana-2412 102 102 , , PUNCT cana-2412 103 1 f f PROPN cana-2412 103 2 p p X cana-2412 103 3 c c PROPN cana-2412 103 4 c c NOUN cana-2412 103 5 ) ) PUNCT cana-2412 103 6 ( ( PUNCT cana-2412 103 7 ) ) PUNCT cana-2412 103 8 ( ( PUNCT cana-2412 103 9   ADP cana-2412 103 10   ADP cana-2412 103 11   PROPN cana-2412 103 12 = = PUNCT cana-2412 103 13 is be AUX cana-2412 103 14 the the DET cana-2412 103 15 ratio ratio NOUN cana-2412 103 16 of of ADP cana-2412 103 17 the the DET cana-2412 103 18 nano nano NOUN cana-2412 103 19 particle particle NOUN cana-2412 103 20 heat heat NOUN cana-2412 103 21 capacity capacity NOUN cana-2412 103 22 and and CCONJ cana-2412 103 23 base base NOUN cana-2412 103 24 fluid fluid ADJ cana-2412 103 25 heat heat NOUN cana-2412 103 26 capacity capacity NOUN cana-2412 103 27 , , PUNCT cana-2412 103 28 bd bd PROPN cana-2412 103 29 is be AUX cana-2412 103 30 the the DET cana-2412 103 31 brownian brownian ADJ cana-2412 103 32 motion motion NOUN cana-2412 103 33 diffusion diffusion NOUN cana-2412 103 34 coefficient coefficient NOUN cana-2412 103 35 and and CCONJ cana-2412 103 36 td td NOUN cana-2412 103 37 is be AUX cana-2412 103 38 the the DET cana-2412 103 39 thermophoresis thermophoresis NOUN cana-2412 103 40 diffusion diffusion NOUN cana-2412 103 41 coefficient coefficient NOUN cana-2412 103 42 , , PUNCT cana-2412 103 43 πΎπ‘œ(π‘₯ πΎπ‘œ(π‘₯ NOUN cana-2412 103 44 ) ) PUNCT cana-2412 103 45 = = PUNCT cana-2412 103 46 π‘˜ π‘˜ PRON cana-2412 103 47 π‘Ž(πΆπ‘€βˆ’πΆβˆž π‘Ž(πΆπ‘€βˆ’πΆβˆž PROPN cana-2412 103 48 ) ) PUNCT cana-2412 103 49 is be AUX cana-2412 103 50 the the DET cana-2412 103 51 chemical chemical NOUN cana-2412 103 52 reaction reaction NOUN cana-2412 103 53 parameter parameter NOUN cana-2412 103 54 , , PUNCT cana-2412 103 55 with with ADP cana-2412 103 56 rate rate NOUN cana-2412 103 57 constant constant ADJ cana-2412 103 58 πΎπ‘œ πΎπ‘œ PROPN cana-2412 103 59 , , PUNCT cana-2412 103 60 where where SCONJ cana-2412 103 61 πΎπ‘œ πΎπ‘œ PROPN cana-2412 103 62 > > X cana-2412 103 63 0 0 PUNCT cana-2412 103 64 for for ADP cana-2412 103 65 destructive destructive ADJ cana-2412 103 66 reaction reaction NOUN cana-2412 103 67 , , PUNCT cana-2412 104 1 πΎπ‘œ πΎπ‘œ ADP cana-2412 104 2 < < X cana-2412 104 3 0 0 PUNCT cana-2412 105 1 for for ADP cana-2412 105 2 generative generative ADJ cana-2412 105 3 reaction reaction NOUN cana-2412 105 4 and and CCONJ cana-2412 105 5 πΎπ‘œ πΎπ‘œ PROPN cana-2412 105 6 = = NOUN cana-2412 105 7 0 0 NUM cana-2412 105 8 for for ADP cana-2412 105 9 no no DET cana-2412 105 10 reaction reaction NOUN cana-2412 105 11 . . PUNCT cana-2412 106 1 we we PRON cana-2412 106 2 consider consider VERB cana-2412 106 3 that that SCONJ cana-2412 106 4 the the DET cana-2412 106 5 magnetic magnetic ADJ cana-2412 106 6 field field NOUN cana-2412 106 7 ( ( PUNCT cana-2412 106 8 ) ) PUNCT cana-2412 106 9 ) ) PUNCT cana-2412 106 10 ( ( PUNCT cana-2412 106 11 0 0 NUM cana-2412 106 12 xbxb xbxb NOUN cana-2412 106 13 = = PUNCT cana-2412 106 14 , , PUNCT cana-2412 106 15 where where SCONJ cana-2412 106 16 the the DET cana-2412 106 17 constant constant ADJ cana-2412 106 18 magnetic magnetic ADJ cana-2412 106 19 field field NOUN cana-2412 106 20 is be AUX cana-2412 106 21 0b 0b NOUN cana-2412 106 22 . . PUNCT cana-2412 107 1 using use VERB cana-2412 107 2 the the DET cana-2412 107 3 rosseland rosseland NOUN cana-2412 107 4 [ [ X cana-2412 107 5 51 51 NUM cana-2412 107 6 ] ] PUNCT cana-2412 107 7 approximation approximation NOUN cana-2412 107 8 the the DET cana-2412 107 9 radiative radiative ADJ cana-2412 107 10 heat heat NOUN cana-2412 107 11 flux flux NOUN cana-2412 107 12 is be AUX cana-2412 107 13 simplified simplify VERB cana-2412 107 14 as as ADP cana-2412 107 15 : : PUNCT cana-2412 107 16 π‘žπ‘Ÿ π‘žπ‘Ÿ PROPN cana-2412 107 17 = = PUNCT cana-2412 107 18 βˆ’ βˆ’ PROPN cana-2412 108 1 4πœŽπ‘– 4πœŽπ‘– ADJ cana-2412 108 2 3πΎβˆ— 3πΎβˆ— NUM cana-2412 108 3 πœ•π‘‡4 πœ•π‘‡4 NOUN cana-2412 108 4 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 108 5 βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ X cana-2412 108 6 ( ( PUNCT cana-2412 108 7 7 7 X cana-2412 108 8 ) ) PUNCT cana-2412 108 9 we we PRON cana-2412 108 10 assume assume VERB cana-2412 108 11 that that SCONJ cana-2412 108 12 the the DET cana-2412 108 13 temperature temperature NOUN cana-2412 108 14 differences difference NOUN cana-2412 108 15 within within ADP cana-2412 108 16 the the DET cana-2412 108 17 flow flow NOUN cana-2412 108 18 region region NOUN cana-2412 108 19 , , PUNCT cana-2412 108 20 namely namely ADV cana-2412 108 21 , , PUNCT cana-2412 108 22 the the DET cana-2412 108 23 term term NOUN cana-2412 108 24 𝑇4can 𝑇4can PROPN cana-2412 108 25 be be AUX cana-2412 108 26 expressed express VERB cana-2412 108 27 as as ADP cana-2412 108 28 a a DET cana-2412 108 29 linear linear ADJ cana-2412 108 30 function function NOUN cana-2412 108 31 of of ADP cana-2412 108 32 temperature temperature NOUN cana-2412 108 33 . . PUNCT cana-2412 109 1 the the DET cana-2412 109 2 best good ADJ cana-2412 109 3 linear linear ADJ cana-2412 109 4 approximation approximation NOUN cana-2412 109 5 of of ADP cana-2412 109 6 𝑇4 𝑇4 PROPN cana-2412 109 7 is be AUX cana-2412 109 8 obtained obtain VERB cana-2412 109 9 by by ADP cana-2412 109 10 expanding expand VERB cana-2412 109 11 it it PRON cana-2412 109 12 in in ADP cana-2412 109 13 a a DET cana-2412 109 14 taylor taylor PROPN cana-2412 109 15 series series NOUN cana-2412 109 16 about about ADP cana-2412 109 17 π‘‡βˆž π‘‡βˆž PROPN cana-2412 109 18 is be AUX cana-2412 109 19 𝑇4 𝑇4 ADJ cana-2412 109 20 = = SYM cana-2412 109 21 π‘‡βˆž π‘‡βˆž PROPN cana-2412 109 22 4 4 NUM cana-2412 110 1 + + NUM cana-2412 110 2 4π‘‡βˆž 4π‘‡βˆž NUM cana-2412 110 3 3(𝑇 3(𝑇 NUM cana-2412 110 4 βˆ’ βˆ’ PROPN cana-2412 110 5 π‘‡βˆž π‘‡βˆž PROPN cana-2412 110 6 ) ) PUNCT cana-2412 111 1 + + CCONJ cana-2412 111 2 6π‘‡βˆž 6π‘‡βˆž NUM cana-2412 111 3 2(𝑇 2(𝑇 NUM cana-2412 111 4 βˆ’ βˆ’ PROPN cana-2412 112 1 π‘‡βˆž)2 π‘‡βˆž)2 ADV cana-2412 112 2 + + NOUN cana-2412 112 3 βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ NOUN cana-2412 112 4 ( ( PUNCT cana-2412 112 5 8) 8) NUM cana-2412 112 6 communications communication NOUN cana-2412 112 7 on on ADP cana-2412 112 8 applied apply VERB cana-2412 112 9 nonlinear nonlinear ADJ cana-2412 112 10 analysis analysis NOUN cana-2412 112 11 issn issn NOUN cana-2412 112 12 : : PUNCT cana-2412 112 13 1074 1074 NUM cana-2412 112 14 - - PUNCT cana-2412 112 15 133x 133x NUM cana-2412 112 16 vol vol NOUN cana-2412 112 17 32 32 NUM cana-2412 112 18 no no NOUN cana-2412 112 19 . . PUNCT cana-2412 113 1 2s 2s NUM cana-2412 113 2 ( ( PUNCT cana-2412 113 3 2025 2025 NUM cana-2412 113 4 ) ) PUNCT cana-2412 113 5 391 391 NUM cana-2412 113 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 113 7 neglecting neglect VERB cana-2412 113 8 higher high ADJ cana-2412 113 9 order order NOUN cana-2412 113 10 terms term NOUN cana-2412 113 11 of of ADP cana-2412 113 12 ( ( PUNCT cana-2412 113 13 𝑇 𝑇 PROPN cana-2412 113 14 βˆ’ βˆ’ PROPN cana-2412 113 15 π‘‡βˆž π‘‡βˆž PROPN cana-2412 113 16 ) ) PUNCT cana-2412 113 17 from from ADP cana-2412 113 18 equation equation NOUN cana-2412 113 19 ( ( PUNCT cana-2412 113 20 8) 8) NUM cana-2412 113 21 and and CCONJ cana-2412 113 22 attained attain VERB cana-2412 113 23 as as ADP cana-2412 113 24 𝑇4 𝑇4 PROPN cana-2412 113 25 β‰… β‰… PROPN cana-2412 113 26 4π‘‡π‘‡βˆž 4π‘‡π‘‡βˆž PROPN cana-2412 113 27 3 3 NUM cana-2412 113 28 βˆ’ βˆ’ NOUN cana-2412 113 29 3π‘‡βˆž 3π‘‡βˆž NUM cana-2412 113 30 3 3 NUM cana-2412 113 31 βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ NOUN cana-2412 113 32 ( ( PUNCT cana-2412 113 33 9 9 NUM cana-2412 113 34 ) ) PUNCT cana-2412 113 35 using use VERB cana-2412 113 36 equation equation NOUN cana-2412 113 37 ( ( PUNCT cana-2412 113 38 9 9 NUM cana-2412 113 39 ) ) PUNCT cana-2412 113 40 into into ADP cana-2412 113 41 equation equation NOUN cana-2412 113 42 ( ( PUNCT cana-2412 113 43 7 7 X cana-2412 113 44 ) ) PUNCT cana-2412 113 45 we we PRON cana-2412 113 46 get get VERB cana-2412 113 47 π‘žπ‘Ÿ π‘žπ‘Ÿ NOUN cana-2412 113 48 = = SYM cana-2412 113 49 βˆ’ βˆ’ PROPN cana-2412 113 50 16πœŽπ‘–π‘‡βˆž 16πœŽπ‘–π‘‡βˆž NUM cana-2412 113 51 3 3 NUM cana-2412 113 52 3πΎβˆ— 3πΎβˆ— NUM cana-2412 113 53 πœ•π‘‡ πœ•π‘‡ NOUN cana-2412 113 54 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 113 55 βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ X cana-2412 113 56 ( ( PUNCT cana-2412 113 57 10 10 NUM cana-2412 113 58 ) ) PUNCT cana-2412 113 59 the the DET cana-2412 113 60 modified modify VERB cana-2412 113 61 equation equation NOUN cana-2412 113 62 of of ADP cana-2412 113 63 ( ( PUNCT cana-2412 113 64 3 3 NUM cana-2412 113 65 ) ) PUNCT cana-2412 113 66 by by ADP cana-2412 113 67 the the DET cana-2412 113 68 assistance assistance NOUN cana-2412 113 69 of of ADP cana-2412 113 70 equation equation NOUN cana-2412 113 71 ( ( PUNCT cana-2412 113 72 10 10 NUM cana-2412 113 73 ) ) PUNCT cana-2412 113 74 is be AUX cana-2412 113 75 𝑒 𝑒 DET cana-2412 113 76 πœ•π‘‡ πœ•π‘‡ X cana-2412 113 77 πœ•π‘₯ πœ•π‘₯ NOUN cana-2412 113 78 + + CCONJ cana-2412 113 79 𝑣 𝑣 DET cana-2412 113 80 πœ•π‘‡ πœ•π‘‡ NOUN cana-2412 113 81 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 113 82 = = SYM cana-2412 113 83 𝛼 𝛼 PROPN cana-2412 113 84 πœ•2𝑇 πœ•2𝑇 NOUN cana-2412 113 85 πœ•π‘¦2 πœ•π‘¦2 PROPN cana-2412 113 86 + + CCONJ cana-2412 113 87 πœ— πœ— PROPN cana-2412 113 88 πœŒπ‘π‘ πœŒπ‘π‘ NOUN cana-2412 113 89 ( ( PUNCT cana-2412 113 90 πœ•π‘’ πœ•π‘’ NOUN cana-2412 113 91 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 113 92 ) ) PUNCT cana-2412 113 93 2 2 NUM cana-2412 113 94 + + CCONJ cana-2412 113 95 𝑄0 𝑄0 PROPN cana-2412 113 96 πœŒπΆπ‘ πœŒπΆπ‘ X cana-2412 113 97 ( ( PUNCT cana-2412 113 98 𝑇 𝑇 PROPN cana-2412 113 99 βˆ’ βˆ’ PROPN cana-2412 113 100 π‘‡βˆž π‘‡βˆž PROPN cana-2412 113 101 ) ) PUNCT cana-2412 114 1 + + CCONJ cana-2412 114 2 1 1 NUM cana-2412 114 3 πœŒπΆπ‘ πœŒπΆπ‘ ADJ cana-2412 114 4 ( ( PUNCT cana-2412 114 5 16πœŽπ‘–π‘‡βˆž 16πœŽπ‘–π‘‡βˆž NUM cana-2412 114 6 3 3 NUM cana-2412 114 7 3(πœŒπΆπ‘ 3(πœŒπΆπ‘ NUM cana-2412 114 8 ) ) PUNCT cana-2412 115 1 𝑓 𝑓 PRON cana-2412 115 2 πΎβˆ— πΎβˆ— NUM cana-2412 115 3 πœ•2𝑇 πœ•2𝑇 PROPN cana-2412 115 4 πœ•π‘¦2 πœ•π‘¦2 PROPN cana-2412 115 5 ) ) PUNCT cana-2412 115 6 βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ X cana-2412 115 7 ( ( PUNCT cana-2412 115 8 11 11 NUM cana-2412 115 9 ) ) PUNCT cana-2412 115 10 the the DET cana-2412 115 11 stream stream NOUN cana-2412 115 12 function function VERB cana-2412 115 13 πœ“(π‘₯ πœ“(π‘₯ ADV cana-2412 115 14 , , PUNCT cana-2412 115 15 𝑦 𝑦 NOUN cana-2412 115 16 ) ) PUNCT cana-2412 115 17 is be AUX cana-2412 115 18 defined define VERB cana-2412 115 19 as as ADP cana-2412 115 20 below below ADV cana-2412 115 21 and and CCONJ cana-2412 115 22 satisfied satisfy VERB cana-2412 115 23 the the DET cana-2412 115 24 equation equation NOUN cana-2412 115 25 ( ( PUNCT cana-2412 115 26 1 1 X cana-2412 115 27 ) ) PUNCT cana-2412 115 28 𝑒 𝑒 PROPN cana-2412 115 29 = = SYM cana-2412 115 30 πœ•πœ“ πœ•πœ“ NOUN cana-2412 115 31 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 115 32 and and CCONJ cana-2412 115 33 𝑣 𝑣 X cana-2412 115 34 = = SYM cana-2412 115 35 βˆ’ βˆ’ PROPN cana-2412 115 36 πœ•πœ“ πœ•πœ“ NOUN cana-2412 115 37 πœ•π‘₯ πœ•π‘₯ X cana-2412 115 38 βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ X cana-2412 115 39 ( ( PUNCT cana-2412 115 40 12 12 NUM cana-2412 115 41 ) ) PUNCT cana-2412 115 42 the the DET cana-2412 115 43 desired desire VERB cana-2412 115 44 conversions conversion NOUN cana-2412 115 45 are be AUX cana-2412 115 46 described describe VERB cana-2412 115 47 as as ADP cana-2412 115 48 πœ‚ πœ‚ NOUN cana-2412 115 49 = = SYM cana-2412 115 50 𝑦 𝑦 X cana-2412 115 51 ( ( PUNCT cana-2412 115 52 ( ( PUNCT cana-2412 115 53 π‘š π‘š X cana-2412 115 54 + + NOUN cana-2412 115 55 1)π‘ˆ(π‘₯ 1)π‘ˆ(π‘₯ NUM cana-2412 115 56 ) ) PUNCT cana-2412 115 57 2πœ—π‘₯ 2πœ—π‘₯ NOUN cana-2412 115 58 ) ) PUNCT cana-2412 115 59 ( ( PUNCT cana-2412 115 60 1 1 NUM cana-2412 115 61 2 2 NUM cana-2412 115 62 ) ) PUNCT cana-2412 115 63 , , PUNCT cana-2412 115 64 πœ“ πœ“ X cana-2412 115 65 = = PRON cana-2412 115 66 ( ( PUNCT cana-2412 115 67 2πœ—π‘₯π‘ˆ(π‘₯ 2πœ—π‘₯π‘ˆ(π‘₯ NUM cana-2412 115 68 ) ) PUNCT cana-2412 115 69 ( ( PUNCT cana-2412 115 70 π‘š π‘š PROPN cana-2412 115 71 + + NOUN cana-2412 115 72 1 1 NUM cana-2412 115 73 ) ) PUNCT cana-2412 115 74 ) ) PUNCT cana-2412 116 1 ( ( PUNCT cana-2412 116 2 1 1 NUM cana-2412 116 3 2 2 NUM cana-2412 116 4 ) ) PUNCT cana-2412 116 5 𝑓(πœ‚ 𝑓(πœ‚ PROPN cana-2412 116 6 ) ) PUNCT cana-2412 116 7 , , PUNCT cana-2412 116 8 πœƒ(πœ‚ πœƒ(πœ‚ X cana-2412 116 9 ) ) PUNCT cana-2412 116 10 = = SYM cana-2412 116 11 𝑇 𝑇 PROPN cana-2412 116 12 βˆ’ βˆ’ PROPN cana-2412 116 13 π‘‡πœƒ π‘‡πœƒ PROPN cana-2412 116 14 𝑇𝑓 𝑇𝑓 PROPN cana-2412 117 1 βˆ’ βˆ’ PROPN cana-2412 118 1 π‘‡βˆž π‘‡βˆž PROPN cana-2412 118 2 , , PUNCT cana-2412 118 3 βˆ…(πœ‚ βˆ…(πœ‚ NOUN cana-2412 118 4 ) ) PUNCT cana-2412 118 5 = = PUNCT cana-2412 118 6 𝐢 𝐢 PROPN cana-2412 118 7 βˆ’ βˆ’ PROPN cana-2412 118 8 πΆπœƒ πΆπœƒ PROPN cana-2412 118 9 𝐢𝑓 𝐢𝑓 PROPN cana-2412 118 10 βˆ’ βˆ’ PROPN cana-2412 118 11 𝐢∞ 𝐢∞ PROPN cana-2412 118 12 𝑒 𝑒 PROPN cana-2412 119 1 = = PROPN cana-2412 119 2 π‘ˆ π‘ˆ NOUN cana-2412 119 3 𝑑𝑓 𝑑𝑓 PROPN cana-2412 119 4 π‘‘πœ‚ π‘‘πœ‚ INTJ cana-2412 119 5 , , PUNCT cana-2412 119 6 𝑣 𝑣 X cana-2412 119 7 = = SYM cana-2412 119 8 βˆ’ βˆ’ PROPN cana-2412 119 9 ( ( PUNCT cana-2412 119 10 ( ( PUNCT cana-2412 119 11 π‘š π‘š X cana-2412 119 12 + + CCONJ cana-2412 119 13 1)πœ—π‘ˆ(π‘₯ 1)πœ—π‘ˆ(π‘₯ ADJ cana-2412 119 14 ) ) PUNCT cana-2412 119 15 2π‘₯ 2π‘₯ NOUN cana-2412 119 16 ) ) PUNCT cana-2412 119 17 ( ( PUNCT cana-2412 119 18 1 1 NUM cana-2412 119 19 2 2 NUM cana-2412 119 20 ) ) PUNCT cana-2412 120 1 [ [ X cana-2412 120 2 𝑓(πœ‚ 𝑓(πœ‚ X cana-2412 120 3 ) ) PUNCT cana-2412 120 4 + + CCONJ cana-2412 120 5 ( ( PUNCT cana-2412 120 6 π‘š π‘š PROPN cana-2412 120 7 βˆ’ βˆ’ PROPN cana-2412 120 8 1 1 NUM cana-2412 120 9 ) ) PUNCT cana-2412 120 10 ( ( PUNCT cana-2412 120 11 π‘š π‘š PROPN cana-2412 120 12 + + NOUN cana-2412 120 13 1 1 NUM cana-2412 120 14 ) ) PUNCT cana-2412 120 15 πœ‚ πœ‚ NOUN cana-2412 120 16 𝑑𝑓 𝑑𝑓 NOUN cana-2412 120 17 π‘‘πœ‚ π‘‘πœ‚ PROPN cana-2412 120 18 ] ] PUNCT cana-2412 120 19 , , PUNCT cana-2412 120 20 𝑅 𝑅 PROPN cana-2412 120 21 = = PROPN cana-2412 120 22 4πœŽπ‘–π‘‡βˆž 4πœŽπ‘–π‘‡βˆž NUM cana-2412 120 23 3 3 NUM cana-2412 120 24 3π‘˜πΎβˆ— 3π‘˜πΎβˆ— NUM cana-2412 120 25 βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™βˆ™ NOUN cana-2412 120 26 ( ( PUNCT cana-2412 120 27 13 13 NUM cana-2412 120 28 ) ) PUNCT cana-2412 120 29 by by ADP cana-2412 120 30 employing employ VERB cana-2412 120 31 the the DET cana-2412 120 32 similarity similarity NOUN cana-2412 120 33 transfigurations transfiguration NOUN cana-2412 120 34 and and CCONJ cana-2412 120 35 equation equation NOUN cana-2412 120 36 ( ( PUNCT cana-2412 120 37 12 12 NUM cana-2412 120 38 ) ) PUNCT cana-2412 120 39 the the DET cana-2412 120 40 governing govern VERB cana-2412 120 41 equations equation NOUN cana-2412 120 42 ( ( PUNCT cana-2412 120 43 2 2 NUM cana-2412 120 44 ) ) PUNCT cana-2412 120 45 , , PUNCT cana-2412 120 46 ( ( PUNCT cana-2412 120 47 3 3 NUM cana-2412 120 48 ) ) PUNCT cana-2412 120 49 , , PUNCT cana-2412 120 50 ( ( PUNCT cana-2412 120 51 4 4 X cana-2412 120 52 ) ) PUNCT cana-2412 120 53 reduced reduce VERB cana-2412 120 54 to to ADP cana-2412 120 55 the the DET cana-2412 120 56 following follow VERB cana-2412 120 57 ordinary ordinary ADJ cana-2412 120 58 differential differential ADJ cana-2412 120 59 equations equation NOUN cana-2412 120 60 along along ADP cana-2412 120 61 with with ADP cana-2412 120 62 the the DET cana-2412 120 63 boundary boundary ADJ cana-2412 120 64 conditions condition NOUN cana-2412 120 65 ( ( PUNCT cana-2412 120 66 ) ) PUNCT cana-2412 120 67 ( ( PUNCT cana-2412 120 68 ) ) PUNCT cana-2412 120 69 ( ( PUNCT cana-2412 120 70 ) ) PUNCT cana-2412 120 71 ( ( PUNCT cana-2412 120 72 ) ) PUNCT cana-2412 120 73 ( ( PUNCT cana-2412 120 74 ) ) PUNCT cana-2412 120 75 2 2 NUM cana-2412 120 76 2 2 NUM cana-2412 120 77 1 1 NUM cana-2412 120 78 1 1 NUM cana-2412 120 79 ' ' NUM cana-2412 120 80 " " PUNCT cana-2412 120 81 ( ( PUNCT cana-2412 120 82 ) ) PUNCT cana-2412 120 83 ( ( PUNCT cana-2412 120 84 ) ) PUNCT cana-2412 120 85 " " PUNCT cana-2412 120 86 ( ( PUNCT cana-2412 120 87 ) ) PUNCT cana-2412 120 88 1 1 NUM cana-2412 120 89 ' ' NUM cana-2412 120 90 ( ( PUNCT cana-2412 120 91 ) ) PUNCT cana-2412 120 92 ' ' PUNCT cana-2412 120 93 ( ( PUNCT cana-2412 120 94 ) ) PUNCT cana-2412 120 95 1 1 NUM cana-2412 120 96 0 0 NUM cana-2412 120 97 ( ( PUNCT cana-2412 120 98 14 14 NUM cana-2412 120 99 ) ) PUNCT cana-2412 120 100 4 4 NUM cana-2412 120 101 1 1 NUM cana-2412 120 102 " " PUNCT cana-2412 120 103 ( ( PUNCT cana-2412 120 104 ) ) PUNCT cana-2412 120 105 pr pr NOUN cana-2412 120 106 ( ( PUNCT cana-2412 120 107 ) ) PUNCT cana-2412 120 108 ' ' PUNCT cana-2412 120 109 ( ( PUNCT cana-2412 120 110 ) ) PUNCT cana-2412 120 111 pr pr NOUN cana-2412 120 112 " " PUNCT cana-2412 120 113 ( ( PUNCT cana-2412 120 114 ) ) PUNCT cana-2412 120 115 2 2 NUM cana-2412 120 116 pr pr NOUN cana-2412 120 117 ( ( PUNCT cana-2412 120 118 ) ) PUNCT cana-2412 120 119 0 0 NUM cana-2412 120 120 ( ( PUNCT cana-2412 120 121 15 15 NUM cana-2412 120 122 ) ) PUNCT cana-2412 120 123 3 3 NUM cana-2412 120 124 " " PUNCT cana-2412 120 125 ( ( PUNCT cana-2412 120 126 ) ) PUNCT cana-2412 120 127 ( ( PUNCT cana-2412 120 128 ) ) PUNCT cana-2412 120 129 ' ' PUNCT cana-2412 120 130 ( ( PUNCT cana-2412 120 131 ) ) PUNCT cana-2412 120 132 " " PUNCT cana-2412 120 133 ( ( PUNCT cana-2412 120 134 ) ) PUNCT cana-2412 120 135 ( ( PUNCT cana-2412 120 136 ) ) PUNCT cana-2412 120 137 0 0 NUM cana-2412 120 138 ( ( PUNCT cana-2412 120 139 16 16 NUM cana-2412 120 140 ) ) PUNCT cana-2412 120 141 f f PROPN cana-2412 121 1 f f X cana-2412 121 2 f f X cana-2412 122 1 f f PROPN cana-2412 122 2 m m NOUN cana-2412 122 3 f f NOUN cana-2412 123 1 r r NOUN cana-2412 123 2 f f PROPN cana-2412 123 3 ec ec PROPN cana-2412 123 4 f f PROPN cana-2412 123 5 q q AUX cana-2412 123 6 nt not PART cana-2412 123 7 scf scf VERB cana-2412 123 8 sc sc PROPN cana-2412 123 9 nb nb PROPN cana-2412 123 10   NUM cana-2412 123 11   NUM cana-2412 123 12   NUM cana-2412 123 13   PROPN cana-2412 123 14   NUM cana-2412 123 15   NUM cana-2412 123 16   NUM cana-2412 123 17   NOUN cana-2412 123 18   CCONJ cana-2412 123 19   NUM cana-2412 123 20   NOUN cana-2412 123 21   CCONJ cana-2412 123 22   NUM cana-2412 123 23   PROPN cana-2412 123 24   NOUN cana-2412 123 25   NUM cana-2412 123 26   NOUN cana-2412 123 27   NUM cana-2412 123 28   NUM cana-2412 123 29   NOUN cana-2412 123 30   NUM cana-2412 123 31   NOUN cana-2412 123 32   NUM cana-2412 123 33   NOUN cana-2412 123 34   NUM cana-2412 123 35   NOUN cana-2412 123 36 οƒΆ οƒΆ NOUN cana-2412 123 37 + + X cana-2412 124 1 + + PUNCT cana-2412 125 1 + + CCONJ cana-2412 125 2 βˆ’ βˆ’ X cana-2412 125 3 + + CCONJ cana-2412 125 4 βˆ’ βˆ’ PROPN cana-2412 126 1 = = SYM cana-2412 126 2   PROPN cana-2412 126 3 οƒ· οƒ· PROPN cana-2412 126 4   PROPN cana-2412 126 5 οƒΈ οƒΈ NOUN cana-2412 126 6   VERB cana-2412 126 7 οƒΆ οƒΆ NOUN cana-2412 126 8 + + X cana-2412 127 1 + + PUNCT cana-2412 128 1 + + PUNCT cana-2412 128 2 + + CCONJ cana-2412 128 3 βˆ’ βˆ’ X cana-2412 128 4 = = SYM cana-2412 128 5   PROPN cana-2412 128 6 οƒ· οƒ· PROPN cana-2412 128 7   ADJ cana-2412 128 8 οƒΈ οƒΈ NOUN cana-2412 128 9 + + CCONJ cana-2412 128 10 + + CCONJ cana-2412 128 11 βˆ’ βˆ’ PROPN cana-2412 128 12   VERB cana-2412 128 13 = = PUNCT cana-2412 128 14   NOUN cana-2412 128 15 (0 (0 NOUN cana-2412 128 16 ) ) PUNCT cana-2412 128 17 , , PUNCT cana-2412 128 18 ' ' PUNCT cana-2412 128 19 ( ( PUNCT cana-2412 128 20 0 0 NUM cana-2412 128 21 ) ) PUNCT cana-2412 128 22 , , PUNCT cana-2412 128 23 ' ' PUNCT cana-2412 128 24 ( ( PUNCT cana-2412 128 25 0 0 NUM cana-2412 128 26 ) ) SYM cana-2412 128 27 1 1 NUM cana-2412 128 28 ( ( PUNCT cana-2412 128 29 0 0 NUM cana-2412 128 30 ) ) PUNCT cana-2412 128 31 , , PUNCT cana-2412 128 32 ' ' PUNCT cana-2412 128 33 ' ' PUNCT cana-2412 128 34 0 0 NUM cana-2412 128 35 0 0 NUM cana-2412 128 36 ' ' NUM cana-2412 128 37 ( ( PUNCT cana-2412 128 38 ) ) PUNCT cana-2412 128 39 1 1 NUM cana-2412 128 40 , , PUNCT cana-2412 128 41 ( ( PUNCT cana-2412 128 42 ) ) PUNCT cana-2412 128 43 0 0 NUM cana-2412 128 44 , , PUNCT cana-2412 128 45 ( ( PUNCT cana-2412 128 46 ) ) PUNCT cana-2412 128 47 0 0 NUM cana-2412 128 48 ( ( PUNCT cana-2412 128 49 17 17 NUM cana-2412 128 50 ) ) PUNCT cana-2412 128 51 f f PROPN cana-2412 128 52 s s PART cana-2412 129 1 f f PROPN cana-2412 129 2 bi bi PROPN cana-2412 129 3 nb nb PROPN cana-2412 129 4 nt not PART cana-2412 129 5 at at ADP cana-2412 129 6 f f PROPN cana-2412 129 7 at at ADP cana-2412 129 8   ADJ cana-2412 129 9   PROPN cana-2412 129 10   PROPN cana-2412 129 11   NOUN cana-2412 129 12   NOUN cana-2412 129 13   NUM cana-2412 129 14   SYM cana-2412 129 15   NOUN cana-2412 129 16   NUM cana-2412 129 17 = = SYM cana-2412 129 18 = = PUNCT cana-2412 129 19 = = PUNCT cana-2412 130 1 βˆ’ βˆ’ NOUN cana-2412 130 2 βˆ’ βˆ’ PROPN cana-2412 131 1 + + NOUN cana-2412 131 2 = = SYM cana-2412 131 3 = = SYM cana-2412 131 4 ο‚₯ ο‚₯ X cana-2412 131 5 = = SYM cana-2412 131 6 ο‚₯ ο‚₯ NOUN cana-2412 131 7 = = SYM cana-2412 131 8 ο‚₯ ο‚₯ X cana-2412 131 9 = = PUNCT cana-2412 131 10 β†’ο‚₯ β†’ο‚₯ VERB cana-2412 131 11 the the DET cana-2412 131 12 involved involved ADJ cana-2412 131 13 physical physical ADJ cana-2412 131 14 parameters parameter NOUN cana-2412 131 15 are be AUX cana-2412 131 16 casson casson PROPN cana-2412 131 17 fluid fluid ADJ cana-2412 131 18 parameter parameter NOUN cana-2412 131 19 𝛾 𝛾 NOUN cana-2412 131 20 , , PUNCT cana-2412 131 21 wedge wedge NOUN cana-2412 131 22 parameter parameter NOUN cana-2412 131 23 𝛽 𝛽 PROPN cana-2412 131 24 , , PUNCT cana-2412 131 25 velocity velocity NOUN cana-2412 131 26 ratio ratio NOUN cana-2412 131 27 parameter parameter NOUN cana-2412 131 28 πœ† πœ† ADP cana-2412 131 29 < < X cana-2412 131 30 0 0 NUM cana-2412 131 31 relates relate VERB cana-2412 131 32 to to PART cana-2412 131 33 flow flow VERB cana-2412 131 34 in in ADP cana-2412 131 35 the the DET cana-2412 131 36 reverse reverse ADJ cana-2412 131 37 direction direction NOUN cana-2412 131 38 in in ADP cana-2412 131 39 outside outside ADJ cana-2412 131 40 flow flow NOUN cana-2412 131 41 , , PUNCT cana-2412 131 42 πœ† πœ† ADP cana-2412 131 43 > > SYM cana-2412 131 44 0 0 NUM cana-2412 131 45 relates relate VERB cana-2412 131 46 to to PART cana-2412 131 47 flow flow VERB cana-2412 131 48 in in ADP cana-2412 131 49 the the DET cana-2412 131 50 same same ADJ cana-2412 131 51 direction direction NOUN cana-2412 131 52 on on ADP cana-2412 131 53 a a DET cana-2412 131 54 permeable permeable ADJ cana-2412 131 55 extending extend VERB cana-2412 131 56 wedge wedge NOUN cana-2412 131 57 wall wall NOUN cana-2412 131 58 , , PUNCT cana-2412 131 59 and and CCONJ cana-2412 131 60 πœ† πœ† X cana-2412 131 61 = = SYM cana-2412 131 62 0 0 NUM cana-2412 131 63 relates relate VERB cana-2412 131 64 to to ADP cana-2412 131 65 a a DET cana-2412 131 66 surface surface NOUN cana-2412 131 67 of of ADP cana-2412 131 68 a a DET cana-2412 131 69 stationary stationary ADJ cana-2412 131 70 wedge wedge NOUN cana-2412 131 71 . . PUNCT cana-2412 132 1 magnetic magnetic ADJ cana-2412 132 2 field field PROPN cana-2412 132 3 𝑀 𝑀 PROPN cana-2412 132 4 , , PUNCT cana-2412 132 5 𝑠 𝑠 PROPN cana-2412 132 6 < < X cana-2412 132 7 0 0 NUM cana-2412 132 8 is be AUX cana-2412 132 9 the the DET cana-2412 132 10 suction suction NOUN cana-2412 132 11 and and CCONJ cana-2412 132 12 𝑠 𝑠 INTJ cana-2412 132 13 > > X cana-2412 132 14 0 0 NUM cana-2412 132 15 is be AUX cana-2412 132 16 the the DET cana-2412 132 17 injection injection NOUN cana-2412 132 18 , , PUNCT cana-2412 132 19 prandtl prandtl NOUN cana-2412 132 20 number number NOUN cana-2412 132 21 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-2412 132 22 , , PUNCT cana-2412 132 23 𝑄 𝑄 PROPN cana-2412 132 24 is be AUX cana-2412 132 25 the the DET cana-2412 132 26 heat heat NOUN cana-2412 132 27 source source NOUN cana-2412 132 28 or or CCONJ cana-2412 132 29 sink sink NOUN cana-2412 132 30 parameter parameter NOUN cana-2412 132 31 , , PUNCT cana-2412 132 32 𝐸𝑐 𝐸𝑐 PROPN cana-2412 132 33 is be AUX cana-2412 132 34 the the DET cana-2412 132 35 eckert eckert PROPN cana-2412 132 36 number number NOUN cana-2412 132 37 , , PUNCT cana-2412 132 38 r r NOUN cana-2412 132 39 is be AUX cana-2412 132 40 the the DET cana-2412 132 41 thermal thermal ADJ cana-2412 132 42 radiation radiation NOUN cana-2412 132 43 parameter parameter NOUN cana-2412 132 44 , , PUNCT cana-2412 132 45 𝑏𝑖 𝑏𝑖 PROPN cana-2412 132 46 is be AUX cana-2412 132 47 the the DET cana-2412 132 48 thermal thermal ADJ cana-2412 132 49 slip slip NOUN cana-2412 132 50 parameter parameter NOUN cana-2412 132 51 , , PUNCT cana-2412 132 52 𝑆𝑐 𝑆𝑐 PROPN cana-2412 132 53 is be AUX cana-2412 132 54 the the DET cana-2412 132 55 schmidt schmidt ADJ cana-2412 132 56 number number NOUN cana-2412 132 57 , , PUNCT cana-2412 132 58 brownian brownian ADJ cana-2412 132 59 number number NOUN cana-2412 132 60 𝑁𝑏 𝑁𝑏 PROPN cana-2412 132 61 , , PUNCT cana-2412 132 62 thermophoresis thermophoresis NOUN cana-2412 132 63 parameter parameter NOUN cana-2412 132 64 𝑁𝑑 𝑁𝑑 PROPN cana-2412 132 65 , , PUNCT cana-2412 132 66 Ξ³ Ξ³ X cana-2412 132 67 is be AUX cana-2412 132 68 the the DET cana-2412 132 69 chemical chemical ADJ cana-2412 132 70 reaction reaction NOUN cana-2412 132 71 parameter parameter NOUN cana-2412 132 72 . . PUNCT cana-2412 133 1 communications communication NOUN cana-2412 133 2 on on ADP cana-2412 133 3 applied apply VERB cana-2412 133 4 nonlinear nonlinear ADJ cana-2412 133 5 analysis analysis NOUN cana-2412 133 6 issn issn NOUN cana-2412 133 7 : : PUNCT cana-2412 133 8 1074 1074 NUM cana-2412 133 9 - - PUNCT cana-2412 133 10 133x 133x NUM cana-2412 133 11 vol vol NOUN cana-2412 133 12 32 32 NUM cana-2412 133 13 no no NOUN cana-2412 133 14 . . PUNCT cana-2412 134 1 2s 2s NUM cana-2412 134 2 ( ( PUNCT cana-2412 134 3 2025 2025 NUM cana-2412 134 4 ) ) PUNCT cana-2412 134 5 392 392 NUM cana-2412 134 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 134 7 the the DET cana-2412 134 8 shear shear NOUN cana-2412 134 9 stress stress NOUN cana-2412 134 10 at at ADP cana-2412 134 11 the the DET cana-2412 134 12 surface surface NOUN cana-2412 134 13 of of ADP cana-2412 134 14 wedge wedge NOUN cana-2412 134 15 is be AUX cana-2412 134 16 intended intend VERB cana-2412 134 17 as as SCONJ cana-2412 134 18 follows follow VERB cana-2412 134 19 : : PUNCT cana-2412 134 20 πœπ‘€ πœπ‘€ ADV cana-2412 134 21 = = PUNCT cana-2412 134 22 πœ‡ πœ‡ X cana-2412 134 23 ( ( PUNCT cana-2412 134 24 πœ•π‘’ πœ•π‘’ NOUN cana-2412 134 25 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 134 26 ) ) PUNCT cana-2412 134 27 𝑦=0 𝑦=0 X cana-2412 134 28 ⟹ ⟹ PUNCT cana-2412 134 29 πœπ‘€ πœπ‘€ ADV cana-2412 134 30 = = PUNCT cana-2412 134 31 πœ‡ πœ‡ X cana-2412 134 32 ( ( PUNCT cana-2412 134 33 π‘ˆ(π‘₯ π‘ˆ(π‘₯ NOUN cana-2412 134 34 ) ) PUNCT cana-2412 134 35 𝜐π‘₯ 𝜐π‘₯ X cana-2412 134 36 ) ) PUNCT cana-2412 134 37 ( ( PUNCT cana-2412 134 38 1 1 NUM cana-2412 134 39 2 2 NUM cana-2412 134 40 ) ) PUNCT cana-2412 134 41 ( ( PUNCT cana-2412 134 42 𝑑2𝑓 𝑑2𝑓 PROPN cana-2412 134 43 π‘‘πœ‚2 π‘‘πœ‚2 NOUN cana-2412 134 44 ) ) PUNCT cana-2412 135 1 πœ‚=0 πœ‚=0 PROPN cana-2412 135 2 the the DET cana-2412 135 3 physical physical ADJ cana-2412 135 4 quantity quantity NOUN cana-2412 135 5 of of ADP cana-2412 135 6 major major ADJ cana-2412 135 7 interest interest NOUN cana-2412 135 8 is be AUX cana-2412 135 9 the the DET cana-2412 135 10 local local ADJ cana-2412 135 11 skin skin NOUN cana-2412 135 12 - - PUNCT cana-2412 135 13 friction friction NOUN cana-2412 135 14 coefficient coefficient NOUN cana-2412 135 15 ( ( PUNCT cana-2412 135 16 𝐢𝑓 𝐢𝑓 PROPN cana-2412 135 17 ) ) PUNCT cana-2412 135 18 , , PUNCT cana-2412 135 19 local local ADJ cana-2412 135 20 nusselt nusselt NOUN cana-2412 135 21 number number NOUN cana-2412 135 22 𝑁𝑒π‘₯ 𝑁𝑒π‘₯ PROPN cana-2412 135 23 and and CCONJ cana-2412 135 24 local local ADJ cana-2412 135 25 sherwood sherwood PROPN cana-2412 135 26 number number NOUN cana-2412 135 27 π‘†β„Žπ‘₯ π‘†β„Žπ‘₯ PROPN cana-2412 135 28 in in ADP cana-2412 135 29 non non ADJ cana-2412 135 30 - - ADJ cana-2412 135 31 dimensional dimensional ADJ cana-2412 135 32 form form NOUN cana-2412 135 33 is be AUX cana-2412 135 34 given give VERB cana-2412 135 35 by by ADP cana-2412 135 36 𝑅𝑒π‘₯ 𝑅𝑒π‘₯ PROPN cana-2412 135 37 1 1 NUM cana-2412 135 38 2 2 NUM cana-2412 135 39 𝐢𝑓π‘₯ 𝐢𝑓π‘₯ PROPN cana-2412 135 40 = = PUNCT cana-2412 135 41 ( ( PUNCT cana-2412 135 42 1 1 NUM cana-2412 135 43 + + SYM cana-2412 135 44 1 1 NUM cana-2412 135 45 𝛽 𝛽 NOUN cana-2412 135 46 ) ) PUNCT cana-2412 135 47 𝑓 𝑓 DET cana-2412 135 48 β€²"(0 β€²"(0 NOUN cana-2412 135 49 ) ) PUNCT cana-2412 135 50 where where SCONJ cana-2412 135 51 πœπ‘€ πœπ‘€ ADV cana-2412 135 52 = = SYM cana-2412 135 53 πœ‡ πœ‡ X cana-2412 135 54 ( ( PUNCT cana-2412 135 55 πœ•π‘’ πœ•π‘’ NOUN cana-2412 135 56 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 135 57 ) ) PUNCT cana-2412 135 58 π‘Žπ‘‘ π‘Žπ‘‘ ADP cana-2412 135 59 𝑦 𝑦 NOUN cana-2412 135 60 = = SYM cana-2412 135 61 0 0 NUM cana-2412 135 62 𝑁𝑒π‘₯ 𝑁𝑒π‘₯ PROPN cana-2412 135 63 = = NOUN cana-2412 135 64 π‘₯π‘žπœ π‘₯π‘žπœ NOUN cana-2412 135 65 πœ…(𝑇𝑓 πœ…(𝑇𝑓 NOUN cana-2412 135 66 βˆ’ βˆ’ PROPN cana-2412 135 67 π‘‡βˆž π‘‡βˆž ADJ cana-2412 135 68 ) ) PUNCT cana-2412 135 69 π‘Šβ„Žπ‘’π‘Ÿπ‘’ π‘Šβ„Žπ‘’π‘Ÿπ‘’ NOUN cana-2412 135 70 π‘žπœ π‘žπœ PUNCT cana-2412 135 71 = = PUNCT cana-2412 135 72 βˆ’πœ… βˆ’πœ… NOUN cana-2412 135 73 ( ( PUNCT cana-2412 135 74 πœ•π‘‡ πœ•π‘‡ X cana-2412 135 75 πœ•π‘¦ πœ•π‘¦ X cana-2412 135 76 ) ) PUNCT cana-2412 135 77 𝑦=0 𝑦=0 VERB cana-2412 135 78 β‡’ β‡’ VERB cana-2412 135 79 𝑅𝑒π‘₯ 𝑅𝑒π‘₯ PROPN cana-2412 135 80 βˆ’ βˆ’ NUM cana-2412 135 81 1 1 NUM cana-2412 135 82 2𝑁𝑒π‘₯ 2𝑁𝑒π‘₯ NUM cana-2412 135 83 = = SYM cana-2412 135 84 βˆ’πœƒ βˆ’πœƒ PROPN cana-2412 135 85 β€²(0 β€²(0 PROPN cana-2412 135 86 ) ) PUNCT cana-2412 135 87 π‘†β„Žπ‘₯ π‘†β„Žπ‘₯ NOUN cana-2412 135 88 = = SYM cana-2412 135 89 π‘žπ‘šπ‘₯ π‘žπ‘šπ‘₯ NOUN cana-2412 135 90 𝐷𝐡(𝐢𝑀 𝐷𝐡(𝐢𝑀 NOUN cana-2412 135 91 βˆ’ βˆ’ PROPN cana-2412 135 92 𝐢∞ 𝐢∞ PROPN cana-2412 135 93 ) ) PUNCT cana-2412 135 94 π‘€β„Žπ‘’π‘Ÿπ‘’ π‘€β„Žπ‘’π‘Ÿπ‘’ ADJ cana-2412 135 95 π‘žπ‘š π‘žπ‘š NOUN cana-2412 135 96 = = SYM cana-2412 135 97 βˆ’π·π΅ βˆ’π·π΅ PROPN cana-2412 135 98 ( ( PUNCT cana-2412 135 99 πœ•πΆ πœ•πΆ NOUN cana-2412 135 100 πœ•π‘¦ πœ•π‘¦ NOUN cana-2412 135 101 ) ) PUNCT cana-2412 135 102 𝑦=0 𝑦=0 VERB cana-2412 135 103 β‡’ β‡’ VERB cana-2412 136 1 𝑅𝑒π‘₯ 𝑅𝑒π‘₯ PROPN cana-2412 136 2 βˆ’ βˆ’ NUM cana-2412 136 3 1 1 NUM cana-2412 136 4 2π‘†β„Žπ‘₯ 2π‘†β„Žπ‘₯ NUM cana-2412 136 5 = = SYM cana-2412 136 6 βˆ’πœ™β€²(0 βˆ’πœ™β€²(0 PROPN cana-2412 136 7 ) ) PUNCT cana-2412 136 8 where where SCONJ cana-2412 136 9 𝑅𝑒π‘₯ 𝑅𝑒π‘₯ PROPN cana-2412 136 10 = = PUNCT cana-2412 137 1 π‘Žπ‘₯2 π‘Žπ‘₯2 INTJ cana-2412 137 2 𝜐 𝜐 NOUN cana-2412 137 3 be be VERB cana-2412 137 4 the the DET cana-2412 137 5 reynolds reynolds PROPN cana-2412 137 6 number number NOUN cana-2412 137 7 3 3 NUM cana-2412 137 8 . . PUNCT cana-2412 137 9 numerical numerical ADJ cana-2412 137 10 scheme scheme NOUN cana-2412 137 11 β€’ β€’ NUM cana-2412 137 12 by by ADP cana-2412 137 13 adopting adopt VERB cana-2412 137 14 keller keller PROPN cana-2412 137 15 - - PUNCT cana-2412 137 16 box box PROPN cana-2412 137 17 method method NOUN cana-2412 137 18 and and CCONJ cana-2412 137 19 utilize utilize NOUN cana-2412 137 20 of of ADP cana-2412 137 21 matlab matlab PROPN cana-2412 137 22 software software PROPN cana-2412 137 23 , , PUNCT cana-2412 137 24 the the DET cana-2412 137 25 following follow VERB cana-2412 137 26 set set NOUN cana-2412 137 27 of of ADP cana-2412 137 28 steps step NOUN cana-2412 137 29 are be AUX cana-2412 137 30 implemented implement VERB cana-2412 137 31 to to PART cana-2412 137 32 get get VERB cana-2412 137 33 the the DET cana-2412 137 34 solutions solution NOUN cana-2412 137 35 . . PUNCT cana-2412 138 1 β€’ β€’ NUM cana-2412 138 2 in in ADP cana-2412 138 3 order order NOUN cana-2412 138 4 to to PART cana-2412 138 5 solve solve VERB cana-2412 138 6 and and CCONJ cana-2412 138 7 transform transform VERB cana-2412 138 8 the the DET cana-2412 138 9 system system NOUN cana-2412 138 10 of of ADP cana-2412 138 11 higher high ADJ cana-2412 138 12 ordinary ordinary ADJ cana-2412 138 13 differential differential ADJ cana-2412 138 14 equations equation NOUN cana-2412 138 15 ( ( PUNCT cana-2412 138 16 14 14 NUM cana-2412 138 17 ) ) PUNCT cana-2412 138 18 – – PUNCT cana-2412 138 19 ( ( PUNCT cana-2412 138 20 16 16 NUM cana-2412 138 21 ) ) PUNCT cana-2412 138 22 with with ADP cana-2412 138 23 their their PRON cana-2412 138 24 corresponding correspond VERB cana-2412 138 25 initial initial ADJ cana-2412 138 26 and and CCONJ cana-2412 138 27 boundary boundary ADJ cana-2412 138 28 conditions condition NOUN cana-2412 138 29 ( ( PUNCT cana-2412 138 30 17 17 NUM cana-2412 138 31 ) ) PUNCT cana-2412 138 32 , , PUNCT cana-2412 138 33 introduction introduction NOUN cana-2412 138 34 of of ADP cana-2412 138 35 new new ADJ cana-2412 138 36 independent independent ADJ cana-2412 138 37 variables variable NOUN cana-2412 138 38 of of ADP cana-2412 138 39 𝑝(πœ‚ 𝑝(πœ‚ NOUN cana-2412 138 40 ) ) PUNCT cana-2412 138 41 , , PUNCT cana-2412 138 42 π‘ž(πœ‚ π‘ž(πœ‚ PROPN cana-2412 138 43 ) ) PUNCT cana-2412 138 44 , , PUNCT cana-2412 138 45 πœƒ(πœ‚ πœƒ(πœ‚ X cana-2412 138 46 ) ) PUNCT cana-2412 138 47 = = SYM cana-2412 138 48 𝜐(πœ‚ 𝜐(πœ‚ PROPN cana-2412 138 49 ) ) PUNCT cana-2412 138 50 , , PUNCT cana-2412 138 51 𝑔(πœ‚ 𝑔(πœ‚ PROPN cana-2412 138 52 ) ) PUNCT cana-2412 138 53 , , PUNCT cana-2412 138 54 πœ‘(πœ‚ πœ‘(πœ‚ PROPN cana-2412 138 55 ) ) PUNCT cana-2412 138 56 = = PUNCT cana-2412 139 1 π‘š(πœ‚ π‘š(πœ‚ NOUN cana-2412 139 2 ) ) PUNCT cana-2412 139 3 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ cana-2412 139 4 𝑛(πœ‚ 𝑛(πœ‚ PROPN cana-2412 139 5 ) ) PUNCT cana-2412 139 6 are be AUX cana-2412 139 7 made make VERB cana-2412 139 8 and and CCONJ cana-2412 139 9 transformed transform VERB cana-2412 139 10 into into ADP cana-2412 139 11 first first ADJ cana-2412 139 12 order order NOUN cana-2412 139 13 differential differential ADJ cana-2412 139 14 equations equation NOUN cana-2412 139 15 and and CCONJ cana-2412 139 16 also also ADV cana-2412 139 17 the the DET cana-2412 139 18 boundary boundary ADJ cana-2412 139 19 conditions condition NOUN cana-2412 139 20 are be AUX cana-2412 139 21 changed change VERB cana-2412 139 22 , , PUNCT cana-2412 139 23 as as SCONJ cana-2412 139 24 mentioned mention VERB cana-2412 139 25 in in ADP cana-2412 139 26 below below ADV cana-2412 139 27 . . PUNCT cana-2412 140 1 𝑓 𝑓 DET cana-2412 140 2 β€² β€² NUM cana-2412 140 3 = = SYM cana-2412 140 4 𝑝 𝑝 NOUN cana-2412 140 5 , , PUNCT cana-2412 140 6 𝑝′ 𝑝′ X cana-2412 140 7 = = SYM cana-2412 140 8 π‘ž π‘ž PROPN cana-2412 140 9 , , PUNCT cana-2412 140 10 πœβ€² πœβ€² PROPN cana-2412 140 11 = = SYM cana-2412 140 12 𝑔 𝑔 X cana-2412 140 13 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ cana-2412 140 14 π‘šβ€² π‘šβ€² PROPN cana-2412 141 1 = = SYM cana-2412 141 2 𝑛 𝑛 ADJ cana-2412 141 3 β€’ β€’ NOUN cana-2412 141 4 hence hence ADV cana-2412 141 5 , , PUNCT cana-2412 141 6 the the DET cana-2412 141 7 equations equation NOUN cana-2412 141 8 ( ( PUNCT cana-2412 141 9 14 14 NUM cana-2412 141 10 ) ) PUNCT cana-2412 141 11 to to ADP cana-2412 141 12 ( ( PUNCT cana-2412 141 13 16 16 NUM cana-2412 141 14 ) ) PUNCT cana-2412 141 15 and and CCONJ cana-2412 141 16 ( ( PUNCT cana-2412 141 17 17 17 NUM cana-2412 141 18 ) ) PUNCT cana-2412 141 19 could could AUX cana-2412 141 20 be be AUX cana-2412 141 21 written write VERB cana-2412 141 22 as as ADP cana-2412 141 23 ( ( PUNCT cana-2412 141 24 1 1 NUM cana-2412 141 25 + + SYM cana-2412 141 26 1 1 NUM cana-2412 141 27 𝛾 𝛾 NOUN cana-2412 141 28 ) ) PUNCT cana-2412 141 29 π‘žβ€² π‘žβ€² NOUN cana-2412 141 30 + + CCONJ cana-2412 141 31 π‘“π‘ž π‘“π‘ž VERB cana-2412 141 32 + + NUM cana-2412 141 33 𝛽(1 𝛽(1 PROPN cana-2412 141 34 βˆ’ βˆ’ PROPN cana-2412 141 35 𝑝2 𝑝2 NOUN cana-2412 141 36 ) ) PUNCT cana-2412 141 37 + + CCONJ cana-2412 141 38 𝑀(𝑝 𝑀(𝑝 PROPN cana-2412 141 39 βˆ’ βˆ’ PROPN cana-2412 141 40 1 1 NUM cana-2412 141 41 ) ) PUNCT cana-2412 141 42 = = SYM cana-2412 141 43 0 0 PUNCT cana-2412 142 1 ( ( PUNCT cana-2412 142 2 1 1 NUM cana-2412 142 3 + + CCONJ cana-2412 142 4 4𝑅 4𝑅 PROPN cana-2412 142 5 3 3 NUM cana-2412 142 6 ) ) PUNCT cana-2412 142 7 𝑔′ 𝑔′ PROPN cana-2412 143 1 + + CCONJ cana-2412 143 2 π‘ƒπ‘Ÿπ‘“π‘” π‘ƒπ‘Ÿπ‘“π‘” PROPN cana-2412 143 3 + + NUM cana-2412 143 4 π‘ƒπ‘ŸπΈπ‘π‘ž2 π‘ƒπ‘ŸπΈπ‘π‘ž2 NOUN cana-2412 143 5 + + CCONJ cana-2412 143 6 π‘ƒπ‘Ÿπ‘„(2 π‘ƒπ‘Ÿπ‘„(2 ADJ cana-2412 143 7 βˆ’ βˆ’ NOUN cana-2412 143 8 𝛽)𝜐 𝛽)𝜐 X cana-2412 143 9 = = SYM cana-2412 143 10 0 0 NUM cana-2412 143 11 𝑛′ 𝑛′ NOUN cana-2412 143 12 + + CCONJ cana-2412 144 1 𝑆𝑐𝑓𝑛 𝑆𝑐𝑓𝑛 PROPN cana-2412 144 2 + + CCONJ cana-2412 144 3 𝑁𝑑 𝑁𝑑 PROPN cana-2412 144 4 𝑁𝑏 𝑁𝑏 PROPN cana-2412 144 5 𝑔′ 𝑔′ ADP cana-2412 144 6 βˆ’ βˆ’ PROPN cana-2412 144 7 π‘†π‘Ξ³π‘š π‘†π‘Ξ³π‘š NOUN cana-2412 144 8 = = SYM cana-2412 144 9 0 0 NUM cana-2412 144 10 communications communication NOUN cana-2412 144 11 on on ADP cana-2412 144 12 applied apply VERB cana-2412 144 13 nonlinear nonlinear ADJ cana-2412 144 14 analysis analysis NOUN cana-2412 144 15 issn issn NOUN cana-2412 144 16 : : PUNCT cana-2412 144 17 1074 1074 NUM cana-2412 144 18 - - PUNCT cana-2412 144 19 133x 133x NUM cana-2412 144 20 vol vol NOUN cana-2412 144 21 32 32 NUM cana-2412 144 22 no no NOUN cana-2412 144 23 . . PUNCT cana-2412 145 1 2s 2s NUM cana-2412 145 2 ( ( PUNCT cana-2412 145 3 2025 2025 NUM cana-2412 145 4 ) ) PUNCT cana-2412 145 5 393 393 NUM cana-2412 145 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 145 7 β€’ β€’ ADP cana-2412 145 8 the the DET cana-2412 145 9 boundary boundary ADJ cana-2412 145 10 conditions condition NOUN cana-2412 145 11 in in ADP cana-2412 145 12 equation equation NOUN cana-2412 145 13 ( ( PUNCT cana-2412 145 14 17 17 NUM cana-2412 145 15 ) ) PUNCT cana-2412 145 16 has have AUX cana-2412 145 17 been be AUX cana-2412 145 18 modified modify VERB cana-2412 145 19 as as ADP cana-2412 145 20 𝑓(0 𝑓(0 PROPN cana-2412 145 21 ) ) PUNCT cana-2412 145 22 = = SYM cana-2412 145 23 𝑠 𝑠 PROPN cana-2412 145 24 , , PUNCT cana-2412 145 25 𝑝(0 𝑝(0 PROPN cana-2412 145 26 ) ) PUNCT cana-2412 145 27 = = SYM cana-2412 146 1 πœ† πœ† NOUN cana-2412 146 2 , , PUNCT cana-2412 146 3 𝑔(0 𝑔(0 PROPN cana-2412 146 4 ) ) PUNCT cana-2412 146 5 = = PUNCT cana-2412 146 6 βˆ’π‘π‘–(1 βˆ’π‘π‘–(1 PUNCT cana-2412 146 7 βˆ’ βˆ’ PROPN cana-2412 146 8 𝜐(0 𝜐(0 NOUN cana-2412 146 9 ) ) PUNCT cana-2412 146 10 ) ) PUNCT cana-2412 146 11 , , PUNCT cana-2412 146 12 𝑁𝑏𝑛(0 𝑁𝑏𝑛(0 NUM cana-2412 146 13 ) ) PUNCT cana-2412 147 1 + + CCONJ cana-2412 147 2 𝑁𝑑𝑔(0)β€² 𝑁𝑑𝑔(0)β€² PROPN cana-2412 147 3 = = SYM cana-2412 147 4 0 0 NUM cana-2412 147 5 𝑝(πœ‚ 𝑝(πœ‚ NOUN cana-2412 147 6 ) ) PUNCT cana-2412 147 7 ⟢ ⟢ NOUN cana-2412 147 8 1 1 NUM cana-2412 147 9 , , PUNCT cana-2412 147 10 𝜐(πœ‚ 𝜐(πœ‚ PROPN cana-2412 147 11 ) ) PUNCT cana-2412 147 12 ⟢ ⟢ NOUN cana-2412 147 13 0 0 NUM cana-2412 147 14 , , PUNCT cana-2412 147 15 π‘š(πœ‚ π‘š(πœ‚ NOUN cana-2412 147 16 ) ) PUNCT cana-2412 147 17 ⟢ ⟢ NOUN cana-2412 147 18 0 0 NUM cana-2412 147 19 β€’ β€’ NOUN cana-2412 147 20 the the DET cana-2412 147 21 resultant resultant NOUN cana-2412 147 22 differential differential ADJ cana-2412 147 23 equations equation NOUN cana-2412 147 24 are be AUX cana-2412 147 25 first first ADV cana-2412 147 26 expressed express VERB cana-2412 147 27 in in ADP cana-2412 147 28 the the DET cana-2412 147 29 form form NOUN cana-2412 147 30 of of ADP cana-2412 147 31 finite finite ADJ cana-2412 147 32 difference difference NOUN cana-2412 147 33 and and CCONJ cana-2412 147 34 then then ADV cana-2412 147 35 linearized linearize VERB cana-2412 147 36 through through ADP cana-2412 147 37 newton newton PROPN cana-2412 147 38 ’s ’s PART cana-2412 147 39 technique technique NOUN cana-2412 147 40 . . PUNCT cana-2412 148 1 β€’ β€’ NOUN cana-2412 148 2 to to PART cana-2412 148 3 find find VERB cana-2412 148 4 the the DET cana-2412 148 5 solution solution NOUN cana-2412 148 6 , , PUNCT cana-2412 148 7 block block NOUN cana-2412 148 8 tri tri ADJ cana-2412 148 9 - - ADJ cana-2412 148 10 diagonal diagonal ADJ cana-2412 148 11 elimination elimination NOUN cana-2412 148 12 procedure procedure NOUN cana-2412 148 13 is be AUX cana-2412 148 14 used use VERB cana-2412 148 15 to to PART cana-2412 148 16 set set VERB cana-2412 148 17 of of ADP cana-2412 148 18 linear linear PROPN cana-2412 148 19 equations equation NOUN cana-2412 148 20 which which PRON cana-2412 148 21 are be AUX cana-2412 148 22 arranged arrange VERB cana-2412 148 23 into into ADP cana-2412 148 24 the the DET cana-2412 148 25 matrix matrix NOUN cana-2412 148 26 form form NOUN cana-2412 148 27 . . PUNCT cana-2412 149 1 β€’ β€’ NOUN cana-2412 149 2 to to PART cana-2412 149 3 get get VERB cana-2412 149 4 the the DET cana-2412 149 5 accuracy accuracy NOUN cana-2412 149 6 , , PUNCT cana-2412 149 7 the the DET cana-2412 149 8 following follow VERB cana-2412 149 9 appropriate appropriate ADJ cana-2412 149 10 initial initial ADJ cana-2412 149 11 guesses guess NOUN cana-2412 149 12 have have AUX cana-2412 149 13 been be AUX cana-2412 149 14 chosen choose VERB cana-2412 149 15 . . PUNCT cana-2412 150 1 𝑓(πœ‚ 𝑓(πœ‚ X cana-2412 150 2 ) ) PUNCT cana-2412 151 1 = = SYM cana-2412 152 1 ( ( PUNCT cana-2412 152 2 𝑠 𝑠 PROPN cana-2412 152 3 + + CCONJ cana-2412 153 1 πœ† πœ† DET cana-2412 153 2 βˆ’ βˆ’ PROPN cana-2412 153 3 1 1 NUM cana-2412 153 4 ) ) PUNCT cana-2412 153 5 + + NOUN cana-2412 153 6 πœ‚ πœ‚ NOUN cana-2412 153 7 + + CCONJ cana-2412 153 8 π‘’βˆ’πœ‚ π‘’βˆ’πœ‚ VERB cana-2412 153 9 , , PUNCT cana-2412 153 10 πœƒ(πœ‚ πœƒ(πœ‚ X cana-2412 153 11 ) ) PUNCT cana-2412 153 12 = = SYM cana-2412 154 1 ( ( PUNCT cana-2412 154 2 𝑏𝑖 𝑏𝑖 ADP cana-2412 154 3 1 1 NUM cana-2412 154 4 + + CCONJ cana-2412 154 5 𝑏𝑖 𝑏𝑖 ADP cana-2412 154 6 ) ) PUNCT cana-2412 154 7 π‘’βˆ’πœ‚ π‘’βˆ’πœ‚ VERB cana-2412 154 8 , , PUNCT cana-2412 154 9 πœ‘(πœ‚ πœ‘(πœ‚ PROPN cana-2412 154 10 ) ) PUNCT cana-2412 154 11 = = PUNCT cana-2412 155 1 ( ( PUNCT cana-2412 155 2 βˆ’π‘π‘‘ βˆ’π‘π‘‘ INTJ cana-2412 155 3 𝑁𝑏 𝑁𝑏 PROPN cana-2412 155 4 ) ) PUNCT cana-2412 155 5 ( ( PUNCT cana-2412 155 6 𝑏𝑖 𝑏𝑖 ADP cana-2412 155 7 1 1 NUM cana-2412 155 8 + + CCONJ cana-2412 155 9 𝑏𝑖 𝑏𝑖 ADP cana-2412 155 10 ) ) PUNCT cana-2412 155 11 π‘’βˆ’πœ‚ π‘’βˆ’πœ‚ VERB cana-2412 155 12 β€’ β€’ NOUN cana-2412 155 13 the the DET cana-2412 155 14 choices choice NOUN cana-2412 155 15 of of ADP cana-2412 155 16 the the DET cana-2412 155 17 above above ADJ cana-2412 155 18 initial initial ADJ cana-2412 155 19 guesses guess NOUN cana-2412 155 20 depend depend VERB cana-2412 155 21 on on ADP cana-2412 155 22 the the DET cana-2412 155 23 convergence convergence NOUN cana-2412 155 24 criteria criterion NOUN cana-2412 155 25 and and CCONJ cana-2412 155 26 transformed transform VERB cana-2412 155 27 boundary boundary ADJ cana-2412 155 28 conditions condition NOUN cana-2412 155 29 equation equation NOUN cana-2412 155 30 of of ADP cana-2412 155 31 ( ( PUNCT cana-2412 155 32 17 17 NUM cana-2412 155 33 ) ) PUNCT cana-2412 155 34 . . PUNCT cana-2412 156 1 the the DET cana-2412 156 2 step step NOUN cana-2412 156 3 size size NOUN cana-2412 156 4 0.001 0.001 NUM cana-2412 156 5 is be AUX cana-2412 156 6 used use VERB cana-2412 156 7 to to PART cana-2412 156 8 obtain obtain VERB cana-2412 156 9 the the DET cana-2412 156 10 numerical numerical ADJ cana-2412 156 11 solution solution NOUN cana-2412 156 12 with with ADP cana-2412 156 13 suitable suitable ADJ cana-2412 156 14 decimal decimal ADJ cana-2412 156 15 place place NOUN cana-2412 156 16 of of ADP cana-2412 156 17 accuracy accuracy NOUN cana-2412 156 18 as as ADP cana-2412 156 19 the the DET cana-2412 156 20 criterion criterion NOUN cana-2412 156 21 of of ADP cana-2412 156 22 convergence convergence NOUN cana-2412 156 23 . . PUNCT cana-2412 157 1 4 4 X cana-2412 157 2 . . NOUN cana-2412 157 3 results result NOUN cana-2412 157 4 and and CCONJ cana-2412 157 5 discussion discussion NOUN cana-2412 157 6 in in ADP cana-2412 157 7 order order NOUN cana-2412 157 8 to to PART cana-2412 157 9 authorize authorize VERB cana-2412 157 10 the the DET cana-2412 157 11 present present ADJ cana-2412 157 12 numerical numerical ADJ cana-2412 157 13 method method NOUN cana-2412 157 14 and and CCONJ cana-2412 157 15 the the DET cana-2412 157 16 obtained obtain VERB cana-2412 157 17 numerical numerical ADJ cana-2412 157 18 results result NOUN cana-2412 157 19 are be AUX cana-2412 157 20 confirmed confirm VERB cana-2412 157 21 with with ADP cana-2412 157 22 the the DET cana-2412 157 23 results result NOUN cana-2412 157 24 obtained obtain VERB cana-2412 157 25 by by ADP cana-2412 157 26 n. n. PROPN cana-2412 157 27 amar amar PROPN cana-2412 157 28 et et PROPN cana-2412 157 29 al al PROPN cana-2412 158 1 [ [ X cana-2412 158 2 49 49 NUM cana-2412 158 3 ] ] SYM cana-2412 158 4 . . PUNCT cana-2412 158 5 , , PUNCT cana-2412 158 6 ahmad ahmad PROPN cana-2412 158 7 et et PROPN cana-2412 158 8 al al PROPN cana-2412 159 1 [ [ X cana-2412 159 2 52 52 NUM cana-2412 159 3 ] ] PUNCT cana-2412 159 4 and and CCONJ cana-2412 159 5 ullah ullah PROPN cana-2412 159 6 et et PROPN cana-2412 159 7 al al PROPN cana-2412 159 8 [ [ X cana-2412 159 9 53 53 NUM cana-2412 159 10 ] ] PUNCT cana-2412 159 11 in in ADP cana-2412 159 12 table table NOUN cana-2412 159 13 i i PRON cana-2412 159 14 and and CCONJ cana-2412 159 15 table table PROPN cana-2412 159 16 ii ii PROPN cana-2412 159 17 denotes denote VERB cana-2412 159 18 the the DET cana-2412 159 19 compared compare VERB cana-2412 159 20 results result NOUN cana-2412 159 21 with with ADP cana-2412 159 22 ahmad ahmad PROPN cana-2412 159 23 et et PROPN cana-2412 159 24 al al PROPN cana-2412 160 1 [ [ X cana-2412 160 2 52 52 NUM cana-2412 160 3 ] ] PUNCT cana-2412 160 4 , , PUNCT cana-2412 160 5 kuo kuo PROPN cana-2412 161 1 [ [ X cana-2412 161 2 54 54 NUM cana-2412 161 3 ] ] PUNCT cana-2412 161 4 and and CCONJ cana-2412 161 5 n. n. PROPN cana-2412 161 6 amar amar PROPN cana-2412 161 7 et et PROPN cana-2412 161 8 al al PROPN cana-2412 162 1 [ [ X cana-2412 162 2 49 49 NUM cana-2412 162 3 ] ] PUNCT cana-2412 162 4 . . PUNCT cana-2412 163 1 comparisons comparison NOUN cana-2412 163 2 are be AUX cana-2412 163 3 found find VERB cana-2412 163 4 in in ADP cana-2412 163 5 good good ADJ cana-2412 163 6 with with ADP cana-2412 163 7 the the DET cana-2412 163 8 outcomes outcome NOUN cana-2412 163 9 . . PUNCT cana-2412 164 1 table table NOUN cana-2412 164 2 i i PRON cana-2412 164 3 : : PUNCT cana-2412 164 4 deviations deviation NOUN cana-2412 164 5 of of ADP cana-2412 164 6 πΆπ‘“βˆšπ‘…π‘₯ πΆπ‘“βˆšπ‘…π‘₯ PROPN cana-2412 164 7 for for ADP cana-2412 164 8 different different ADJ cana-2412 164 9 values value NOUN cana-2412 164 10 of of ADP cana-2412 164 11 𝑠 𝑠 PROPN cana-2412 164 12 and and CCONJ cana-2412 164 13 the the DET cana-2412 164 14 other other ADJ cana-2412 164 15 values value NOUN cana-2412 164 16 are be AUX cana-2412 164 17 pr pr NOUN cana-2412 164 18 0nb 0nb NOUN cana-2412 165 1 nt not PART cana-2412 165 2 sc sc PROPN cana-2412 165 3 ec ec PROPN cana-2412 165 4 q q PROPN cana-2412 165 5 bi bi NOUN cana-2412 165 6 r= r= NOUN cana-2412 165 7 = = PUNCT cana-2412 166 1 = = PUNCT cana-2412 166 2   VERB cana-2412 166 3 = = SYM cana-2412 166 4 = = PUNCT cana-2412 166 5 = = PUNCT cana-2412 166 6 = = PUNCT cana-2412 167 1 = = PUNCT cana-2412 167 2 = = PUNCT cana-2412 167 3 = = SYM cana-2412 167 4 𝑠 𝑠 PROPN cana-2412 167 5 ahmad ahmad PROPN cana-2412 167 6 et et PROPN cana-2412 167 7 al.52 al.52 PROPN cana-2412 167 8 ullah ullah PROPN cana-2412 167 9 et et PROPN cana-2412 167 10 al al PROPN cana-2412 167 11 . . PROPN cana-2412 167 12 53 53 NUM cana-2412 167 13 amar amar PROPN cana-2412 167 14 et et PROPN cana-2412 167 15 al al PROPN cana-2412 167 16 . . PROPN cana-2412 167 17 49 49 NUM cana-2412 167 18 present present ADJ cana-2412 167 19 study study NOUN cana-2412 167 20 -1 -1 PUNCT cana-2412 167 21 0.75655 0.75655 NUM cana-2412 167 22 0.7566 0.7566 NUM cana-2412 167 23 0.756572 0.756572 NUM cana-2412 167 24 0.756434 0.756434 NUM cana-2412 167 25 -0.5 -0.5 NOUN cana-2412 167 26 0.96922 0.96922 NUM cana-2412 167 27 0.9692 0.9692 NUM cana-2412 167 28 0.969230 0.969230 NUM cana-2412 167 29 0.969021 0.969021 NUM cana-2412 167 30 0 0 NUM cana-2412 167 31 1.23258 1.23258 NUM cana-2412 167 32 1.2326 1.2326 NUM cana-2412 167 33 1.232588 1.232588 NUM cana-2412 167 34 1.232865 1.232865 NUM cana-2412 167 35 0.5 0.5 NUM cana-2412 167 36 1.54175 1.54175 NUM cana-2412 167 37 1.5418 1.5418 NUM cana-2412 167 38 1.541751 1.541751 NUM cana-2412 167 39 1.541754 1.541754 NUM cana-2412 167 40 1 1 NUM cana-2412 167 41 1.88931 1.88931 NUM cana-2412 167 42 1.8893 1.8893 NUM cana-2412 167 43 1.889314 1.889314 NUM cana-2412 167 44 1.889314 1.889314 NUM cana-2412 167 45 table table NOUN cana-2412 167 46 ii ii NOUN cana-2412 167 47 : : PUNCT cana-2412 168 1 deviations deviation NOUN cana-2412 168 2 of of ADP cana-2412 168 3 πΆπ‘“βˆšπ‘…π‘₯ πΆπ‘“βˆšπ‘…π‘₯ PROPN cana-2412 168 4 for for ADP cana-2412 168 5 different different ADJ cana-2412 168 6 values value NOUN cana-2412 168 7 of of ADP cana-2412 168 8 𝛽 𝛽 NOUN cana-2412 168 9 and and CCONJ cana-2412 168 10 the the DET cana-2412 168 11 other other ADJ cana-2412 168 12 values value NOUN cana-2412 168 13 are be AUX cana-2412 168 14 pr pr NOUN cana-2412 168 15 0nb 0nb NOUN cana-2412 168 16 nt not PART cana-2412 168 17 sc sc PROPN cana-2412 168 18 ec ec PROPN cana-2412 168 19 q q PROPN cana-2412 168 20 bi bi NOUN cana-2412 168 21 r= r= NOUN cana-2412 168 22 = = PUNCT cana-2412 169 1 = = PUNCT cana-2412 169 2   VERB cana-2412 169 3 = = SYM cana-2412 169 4 = = PUNCT cana-2412 169 5 = = PUNCT cana-2412 169 6 = = PUNCT cana-2412 170 1 = = PUNCT cana-2412 170 2 = = PUNCT cana-2412 170 3 = = SYM cana-2412 170 4 𝛽 𝛽 NOUN cana-2412 170 5 ahmad ahmad PROPN cana-2412 170 6 et et PROPN cana-2412 170 7 al al PROPN cana-2412 170 8 . . PROPN cana-2412 170 9 52 52 NUM cana-2412 170 10 kuo kuo PROPN cana-2412 170 11 et et PROPN cana-2412 170 12 al al PROPN cana-2412 170 13 . . PROPN cana-2412 170 14 54 54 NUM cana-2412 170 15 amar amar PROPN cana-2412 170 16 et et PROPN cana-2412 170 17 al al PROPN cana-2412 170 18 . . PROPN cana-2412 170 19 49 49 NUM cana-2412 170 20 present present ADJ cana-2412 170 21 study study NOUN cana-2412 170 22 0 0 NUM cana-2412 170 23 0.46959 0.46959 NUM cana-2412 170 24 0.469600 0.469600 NUM cana-2412 170 25 0.469600 0.469600 NUM cana-2412 170 26 0.469594 0.469594 NUM cana-2412 170 27 0.1 0.1 NUM cana-2412 170 28 0.58703 0.58703 NUM cana-2412 170 29 0.587889 0.587889 NUM cana-2412 170 30 0.587035 0.587035 NUM cana-2412 170 31 0.587123 0.587123 NUM cana-2412 170 32 0.3 0.3 NUM cana-2412 170 33 0.77475 0.77475 NUM cana-2412 170 34 0.775524 0.775524 NUM cana-2412 170 35 0.774755 0.774755 NUM cana-2412 170 36 0.774755 0.774755 NUM cana-2412 170 37 0.5 0.5 NUM cana-2412 170 38 0.92768 0.92768 NUM cana-2412 170 39 0.927905 0.927905 NUM cana-2412 170 40 0.927680 0.927680 NUM cana-2412 170 41 0.927685 0.927685 NUM cana-2412 170 42 1 1 NUM cana-2412 170 43 1.23258 1.23258 NUM cana-2412 170 44 1.231289 1.231289 NUM cana-2412 170 45 1.232588 1.232588 NUM cana-2412 170 46 1.232589 1.232589 NUM cana-2412 170 47 1.6 1.6 NUM cana-2412 170 48 1.52151 1.52151 NUM cana-2412 170 49 1.518488 1.518488 NUM cana-2412 170 50 1.521514 1.521514 NUM cana-2412 170 51 1.521518 1.521518 NUM cana-2412 170 52 2 2 NUM cana-2412 170 53 1.68721 1.68721 NUM cana-2412 170 54 1.683095 1.683095 NUM cana-2412 170 55 1.687218 1.687218 NUM cana-2412 170 56 1.687215 1.687215 NUM cana-2412 170 57 communications communication NOUN cana-2412 170 58 on on ADP cana-2412 170 59 applied apply VERB cana-2412 170 60 nonlinear nonlinear ADJ cana-2412 170 61 analysis analysis NOUN cana-2412 170 62 issn issn NOUN cana-2412 170 63 : : PUNCT cana-2412 170 64 1074 1074 NUM cana-2412 170 65 - - PUNCT cana-2412 170 66 133x 133x NUM cana-2412 170 67 vol vol NOUN cana-2412 170 68 32 32 NUM cana-2412 170 69 no no NOUN cana-2412 170 70 . . PUNCT cana-2412 171 1 2s 2s NUM cana-2412 171 2 ( ( PUNCT cana-2412 171 3 2025 2025 NUM cana-2412 171 4 ) ) PUNCT cana-2412 171 5 394 394 NUM cana-2412 171 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 171 7 in in ADP cana-2412 171 8 ordered order VERB cana-2412 171 9 to to PART cana-2412 171 10 understand understand VERB cana-2412 171 11 the the DET cana-2412 171 12 mathematical mathematical ADJ cana-2412 171 13 model model NOUN cana-2412 171 14 the the DET cana-2412 171 15 computational computational ADJ cana-2412 171 16 results result NOUN cana-2412 171 17 are be AUX cana-2412 171 18 presented present VERB cana-2412 171 19 graphically graphically ADV cana-2412 171 20 for for ADP cana-2412 171 21 velocity velocity NOUN cana-2412 171 22 , , PUNCT cana-2412 171 23 temperature temperature NOUN cana-2412 171 24 and and CCONJ cana-2412 171 25 nano nano NOUN cana-2412 171 26 particle particle NOUN cana-2412 171 27 volume volume NOUN cana-2412 171 28 fraction fraction NOUN cana-2412 171 29 profiles profile NOUN cana-2412 171 30 for for ADP cana-2412 171 31 different different ADJ cana-2412 171 32 values value NOUN cana-2412 171 33 of of ADP cana-2412 171 34 flow flow NOUN cana-2412 171 35 controlling control VERB cana-2412 171 36 parameters parameter NOUN cana-2412 171 37 in in ADP cana-2412 171 38 figures figure NOUN cana-2412 171 39 2 2 NUM cana-2412 171 40 to to PART cana-2412 171 41 15 15 NUM cana-2412 171 42 . . PUNCT cana-2412 172 1 the the DET cana-2412 172 2 skin skin NOUN cana-2412 172 3 friction friction NOUN cana-2412 172 4 co co NOUN cana-2412 172 5 - - ADJ cana-2412 172 6 efficient efficient ADJ cana-2412 172 7 ( ( PUNCT cana-2412 172 8 1 1 NUM cana-2412 172 9 + + SYM cana-2412 172 10 1 1 NUM cana-2412 172 11 𝛽 𝛽 NOUN cana-2412 172 12 ) ) PUNCT cana-2412 172 13 𝑓"(0 𝑓"(0 NOUN cana-2412 172 14 ) ) PUNCT cana-2412 172 15 , , PUNCT cana-2412 172 16 nusselt nusselt NOUN cana-2412 172 17 number number NOUN cana-2412 172 18 βˆ’πœƒ βˆ’πœƒ PROPN cana-2412 172 19 β€²(0 β€²(0 PROPN cana-2412 172 20 ) ) PUNCT cana-2412 172 21 and and CCONJ cana-2412 172 22 sherwood sherwood PROPN cana-2412 172 23 number number NOUN cana-2412 172 24 βˆ’πœ‘β€²(0 βˆ’πœ‘β€²(0 PROPN cana-2412 172 25 ) ) PUNCT cana-2412 172 26 origin origin NOUN cana-2412 172 27 graphs graph NOUN cana-2412 172 28 are be AUX cana-2412 172 29 presented present VERB cana-2412 172 30 through through ADP cana-2412 172 31 figures figure NOUN cana-2412 172 32 16 16 NUM cana-2412 172 33 - - SYM cana-2412 172 34 18 18 NUM cana-2412 172 35 . . PUNCT cana-2412 173 1 the the DET cana-2412 173 2 casson casson PROPN cana-2412 173 3 parameter parameter PROPN cana-2412 173 4 ( ( PUNCT cana-2412 173 5 𝛾 𝛾 NOUN cana-2412 173 6 ) ) PUNCT cana-2412 173 7 has have VERB cana-2412 173 8 an an DET cana-2412 173 9 influence influence NOUN cana-2412 173 10 on on ADP cana-2412 173 11 the the DET cana-2412 173 12 velocity velocity NOUN cana-2412 173 13 and and CCONJ cana-2412 173 14 temperature temperature NOUN cana-2412 173 15 fields field NOUN cana-2412 173 16 depicted depict VERB cana-2412 173 17 in in ADP cana-2412 173 18 figures figure NOUN cana-2412 173 19 2(a 2(a NUM cana-2412 173 20 ) ) PUNCT cana-2412 173 21 and and CCONJ cana-2412 173 22 2(b 2(b NUM cana-2412 173 23 ) ) PUNCT cana-2412 173 24 and and CCONJ cana-2412 173 25 it it PRON cana-2412 173 26 is be AUX cana-2412 173 27 noticed notice VERB cana-2412 173 28 that that SCONJ cana-2412 173 29 the the DET cana-2412 173 30 increase increase NOUN cana-2412 173 31 of of ADP cana-2412 173 32 the the DET cana-2412 173 33 casson casson PROPN cana-2412 173 34 parameter parameter PROPN cana-2412 173 35 ( ( PUNCT cana-2412 173 36 𝛾 𝛾 NOUN cana-2412 173 37 ) ) PUNCT cana-2412 173 38 enhances enhance VERB cana-2412 173 39 the the DET cana-2412 173 40 velocity velocity NOUN cana-2412 173 41 and and CCONJ cana-2412 173 42 drops drop VERB cana-2412 173 43 the the DET cana-2412 173 44 temperature temperature NOUN cana-2412 173 45 . . PUNCT cana-2412 174 1 fig fig NOUN cana-2412 174 2 . . PUNCT cana-2412 175 1 2(a 2(a NUM cana-2412 175 2 ) ) PUNCT cana-2412 175 3 . . PUNCT cana-2412 176 1 𝑓 𝑓 DET cana-2412 176 2 β€²(πœ‚ β€²(πœ‚ NOUN cana-2412 176 3 ) ) PUNCT cana-2412 176 4 for for ADP cana-2412 176 5 picked pick VERB cana-2412 176 6 values value NOUN cana-2412 176 7 of of ADP cana-2412 176 8 𝛾 𝛾 PROPN cana-2412 176 9 fig fig NOUN cana-2412 176 10 . . PUNCT cana-2412 177 1 2(b 2(b NUM cana-2412 177 2 ) ) PUNCT cana-2412 177 3 . . PUNCT cana-2412 178 1 πœƒ(πœ‚ πœƒ(πœ‚ X cana-2412 178 2 ) ) PUNCT cana-2412 178 3 for for ADP cana-2412 178 4 picked pick VERB cana-2412 178 5 values value NOUN cana-2412 178 6 of of ADP cana-2412 178 7 𝛾 𝛾 ADP cana-2412 178 8 the the DET cana-2412 178 9 impact impact NOUN cana-2412 178 10 of of ADP cana-2412 178 11 changing change VERB cana-2412 178 12 the the DET cana-2412 178 13 wedge wedge NOUN cana-2412 178 14 parameter parameter NOUN cana-2412 178 15 ( ( PUNCT cana-2412 178 16 𝛽 𝛽 NOUN cana-2412 178 17 ) ) PUNCT cana-2412 178 18 on on ADP cana-2412 178 19 the the DET cana-2412 178 20 velocity velocity NOUN cana-2412 178 21 and and CCONJ cana-2412 178 22 temperature temperature NOUN cana-2412 178 23 are be AUX cana-2412 178 24 demonstrated demonstrate VERB cana-2412 178 25 in in ADP cana-2412 178 26 figures figure NOUN cana-2412 178 27 3(a 3(a NUM cana-2412 178 28 ) ) PUNCT cana-2412 178 29 and and CCONJ cana-2412 178 30 3(b 3(b NUM cana-2412 178 31 ) ) PUNCT cana-2412 178 32 . . PUNCT cana-2412 179 1 these these DET cana-2412 179 2 figures figure NOUN cana-2412 179 3 exhibit exhibit VERB cana-2412 179 4 that that SCONJ cana-2412 179 5 enhancing enhance VERB cana-2412 179 6 the the DET cana-2412 179 7 wedge wedge NOUN cana-2412 179 8 parameter parameter NOUN cana-2412 179 9 values value NOUN cana-2412 179 10 enriches enrich VERB cana-2412 179 11 the the DET cana-2412 179 12 velocity velocity NOUN cana-2412 179 13 and and CCONJ cana-2412 179 14 temperature temperature NOUN cana-2412 179 15 profiles profile NOUN cana-2412 179 16 due due ADJ cana-2412 179 17 to to ADP cana-2412 179 18 the the DET cana-2412 179 19 pressure pressure NOUN cana-2412 179 20 exerted exert VERB cana-2412 179 21 on on ADP cana-2412 179 22 the the DET cana-2412 179 23 flow flow NOUN cana-2412 179 24 , , PUNCT cana-2412 179 25 which which PRON cana-2412 179 26 accelerates accelerate VERB cana-2412 179 27 the the DET cana-2412 179 28 velocity velocity NOUN cana-2412 179 29 area area NOUN cana-2412 179 30 and and CCONJ cana-2412 179 31 the the DET cana-2412 179 32 temperature temperature NOUN cana-2412 179 33 profile profile NOUN cana-2412 179 34 . . PUNCT cana-2412 180 1 fig fig NOUN cana-2412 180 2 . . PUNCT cana-2412 181 1 3(a 3(a NUM cana-2412 181 2 ) ) PUNCT cana-2412 181 3 . . PUNCT cana-2412 182 1 𝑓 𝑓 DET cana-2412 182 2 β€²(πœ‚ β€²(πœ‚ NOUN cana-2412 182 3 ) ) PUNCT cana-2412 182 4 for for ADP cana-2412 182 5 picked pick VERB cana-2412 182 6 values value NOUN cana-2412 182 7 of of ADP cana-2412 182 8 𝛽 𝛽 PRON cana-2412 182 9 fig fig NOUN cana-2412 182 10 . . PUNCT cana-2412 183 1 3(b 3(b NUM cana-2412 183 2 ) ) PUNCT cana-2412 183 3 . . PUNCT cana-2412 184 1 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-2412 184 2 ) ) PUNCT cana-2412 184 3 for for ADP cana-2412 184 4 picked pick VERB cana-2412 184 5 values value NOUN cana-2412 184 6 of of ADP cana-2412 184 7 𝛽 𝛽 NOUN cana-2412 184 8 0 0 NUM cana-2412 184 9 1 1 NUM cana-2412 184 10 2 2 NUM cana-2412 185 1 3 3 NUM cana-2412 185 2 4 4 NUM cana-2412 185 3 5 5 NUM cana-2412 185 4 6 6 NUM cana-2412 185 5 7 7 NUM cana-2412 185 6 0.5 0.5 NUM cana-2412 185 7 0.55 0.55 NUM cana-2412 185 8 0.6 0.6 NUM cana-2412 185 9 0.65 0.65 NUM cana-2412 185 10 0.7 0.7 NUM cana-2412 185 11 0.75 0.75 NUM cana-2412 185 12 0.8 0.8 NUM cana-2412 185 13 0.85 0.85 NUM cana-2412 185 14 0.9 0.9 NUM cana-2412 185 15 0.95 0.95 NUM cana-2412 185 16 1 1 NUM cana-2412 185 17   NUM cana-2412 185 18 f f NOUN cana-2412 185 19 ' ' PUNCT cana-2412 185 20 ( ( PUNCT cana-2412 185 21   NUM cana-2412 185 22 ) ) PUNCT cana-2412 185 23   NUM cana-2412 186 1 = = PUNCT cana-2412 186 2 0.3 0.3 NUM cana-2412 186 3 , , PUNCT cana-2412 186 4 0.6 0.6 NUM cana-2412 186 5 , , PUNCT cana-2412 186 6 1 1 NUM cana-2412 186 7 , , PUNCT cana-2412 186 8 10 10 NUM cana-2412 186 9 fig fig NOUN cana-2412 186 10 . . PUNCT cana-2412 187 1 2(a 2(a NUM cana-2412 187 2 ) ) PUNCT cana-2412 187 3 0 0 NUM cana-2412 187 4 1 1 NUM cana-2412 187 5 2 2 NUM cana-2412 187 6 3 3 NUM cana-2412 187 7 4 4 NUM cana-2412 187 8 5 5 NUM cana-2412 187 9 6 6 NUM cana-2412 187 10 0 0 NUM cana-2412 187 11 0.1 0.1 NUM cana-2412 187 12 0.2 0.2 NUM cana-2412 187 13 0.3 0.3 NUM cana-2412 187 14 0.4 0.4 NUM cana-2412 187 15 0.5 0.5 NUM cana-2412 187 16   NUM cana-2412 187 17   X cana-2412 187 18 ( ( PUNCT cana-2412 187 19   NUM cana-2412 187 20 ) ) PUNCT cana-2412 187 21 2 2 NUM cana-2412 187 22 2.2 2.2 NUM cana-2412 187 23 0.09 0.09 NUM cana-2412 187 24 0.1 0.1 NUM cana-2412 187 25 0.11 0.11 NUM cana-2412 187 26   NUM cana-2412 187 27   X cana-2412 187 28 ( ( PUNCT cana-2412 187 29   NUM cana-2412 187 30 ) ) PUNCT cana-2412 187 31   NUM cana-2412 188 1 = = PUNCT cana-2412 188 2 0.3 0.3 NUM cana-2412 188 3 , , PUNCT cana-2412 188 4 0.6 0.6 NUM cana-2412 188 5 , , PUNCT cana-2412 188 6 1 1 NUM cana-2412 188 7 , , PUNCT cana-2412 188 8 10 10 NUM cana-2412 188 9 fig fig NOUN cana-2412 188 10 . . PUNCT cana-2412 189 1 2(b 2(b NUM cana-2412 189 2 ) ) PUNCT cana-2412 189 3 0 0 NUM cana-2412 189 4 1 1 NUM cana-2412 189 5 2 2 NUM cana-2412 189 6 3 3 NUM cana-2412 189 7 4 4 NUM cana-2412 189 8 5 5 NUM cana-2412 189 9 0.5 0.5 NUM cana-2412 189 10 0.55 0.55 NUM cana-2412 189 11 0.6 0.6 NUM cana-2412 189 12 0.65 0.65 NUM cana-2412 189 13 0.7 0.7 NUM cana-2412 189 14 0.75 0.75 NUM cana-2412 189 15 0.8 0.8 NUM cana-2412 189 16 0.85 0.85 NUM cana-2412 189 17 0.9 0.9 NUM cana-2412 189 18 0.95 0.95 NUM cana-2412 189 19 1 1 NUM cana-2412 189 20   NUM cana-2412 189 21 f f NOUN cana-2412 189 22 ' ' PUNCT cana-2412 189 23 ( ( PUNCT cana-2412 189 24   NUM cana-2412 189 25 ) ) PUNCT cana-2412 189 26   NOUN cana-2412 189 27 = = SYM cana-2412 189 28 1 1 NUM cana-2412 189 29 , , PUNCT cana-2412 189 30 2 2 NUM cana-2412 189 31 , , PUNCT cana-2412 189 32 3 3 NUM cana-2412 189 33 , , PUNCT cana-2412 189 34 4 4 NUM cana-2412 189 35 fig fig NOUN cana-2412 189 36 . . PUNCT cana-2412 190 1 3(a 3(a NUM cana-2412 190 2 ) ) PUNCT cana-2412 190 3 0 0 NUM cana-2412 190 4 1 1 NUM cana-2412 190 5 2 2 NUM cana-2412 190 6 3 3 NUM cana-2412 190 7 4 4 NUM cana-2412 190 8 5 5 NUM cana-2412 190 9 6 6 NUM cana-2412 190 10 0 0 NUM cana-2412 190 11 0.1 0.1 NUM cana-2412 190 12 0.2 0.2 NUM cana-2412 190 13 0.3 0.3 NUM cana-2412 190 14 0.4 0.4 NUM cana-2412 190 15 0.5 0.5 NUM cana-2412 190 16 0.6 0.6 NUM cana-2412 190 17 0.7 0.7 NUM cana-2412 190 18 0.8 0.8 NUM cana-2412 190 19 0.9 0.9 NUM cana-2412 190 20 1 1 NUM cana-2412 190 21   NUM cana-2412 190 22   X cana-2412 190 23 ( ( PUNCT cana-2412 190 24   NUM cana-2412 190 25 ) ) PUNCT cana-2412 190 26   NOUN cana-2412 190 27 = = SYM cana-2412 190 28 1 1 NUM cana-2412 190 29 , , PUNCT cana-2412 190 30 2 2 NUM cana-2412 190 31 , , PUNCT cana-2412 190 32 3 3 NUM cana-2412 190 33 , , PUNCT cana-2412 190 34 4 4 NUM cana-2412 190 35 fig fig NOUN cana-2412 190 36 . . PUNCT cana-2412 191 1 3(b 3(b NUM cana-2412 191 2 ) ) PUNCT cana-2412 191 3 communications communication NOUN cana-2412 191 4 on on ADP cana-2412 191 5 applied apply VERB cana-2412 191 6 nonlinear nonlinear ADJ cana-2412 191 7 analysis analysis NOUN cana-2412 191 8 issn issn NOUN cana-2412 191 9 : : PUNCT cana-2412 191 10 1074 1074 NUM cana-2412 191 11 - - PUNCT cana-2412 191 12 133x 133x NUM cana-2412 191 13 vol vol NOUN cana-2412 191 14 32 32 NUM cana-2412 191 15 no no NOUN cana-2412 191 16 . . PUNCT cana-2412 192 1 2s 2s NUM cana-2412 192 2 ( ( PUNCT cana-2412 192 3 2025 2025 NUM cana-2412 192 4 ) ) PUNCT cana-2412 192 5 395 395 NUM cana-2412 192 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 192 7 figure figure NOUN cana-2412 192 8 4 4 NUM cana-2412 192 9 illuminate illuminate VERB cana-2412 192 10 the the DET cana-2412 192 11 effect effect NOUN cana-2412 192 12 of of ADP cana-2412 192 13 different different ADJ cana-2412 192 14 magnetic magnetic ADJ cana-2412 192 15 field field NOUN cana-2412 192 16 parameter parameter NOUN cana-2412 192 17 ( ( PUNCT cana-2412 192 18 𝑀 𝑀 PROPN cana-2412 192 19 ) ) PUNCT cana-2412 192 20 values value NOUN cana-2412 192 21 on on ADP cana-2412 192 22 non non ADJ cana-2412 192 23 - - ADJ cana-2412 192 24 dimensional dimensional ADJ cana-2412 192 25 velocity velocity NOUN cana-2412 192 26 include include VERB cana-2412 192 27 the the DET cana-2412 192 28 case case NOUN cana-2412 192 29 𝑀 𝑀 PROPN cana-2412 192 30 = = SYM cana-2412 192 31 𝟎 𝟎 NUM cana-2412 192 32 of of ADP cana-2412 192 33 pure pure ADJ cana-2412 192 34 hydrodynamic hydrodynamic ADJ cana-2412 192 35 flow flow NOUN cana-2412 192 36 means mean VERB cana-2412 192 37 nonexistence nonexistence NOUN cana-2412 192 38 of of ADP cana-2412 192 39 magnetic magnetic ADJ cana-2412 192 40 field field NOUN cana-2412 192 41 . . PUNCT cana-2412 193 1 it it PRON cana-2412 193 2 is be AUX cana-2412 193 3 shown show VERB cana-2412 193 4 that that SCONJ cana-2412 193 5 the the DET cana-2412 193 6 velocity velocity NOUN cana-2412 193 7 profile profile NOUN cana-2412 193 8 decreases decrease VERB cana-2412 193 9 with with ADP cana-2412 193 10 the the DET cana-2412 193 11 increasing increasing NOUN cana-2412 193 12 of of ADP cana-2412 193 13 𝑀 𝑀 PROPN cana-2412 193 14 is be AUX cana-2412 193 15 implies imply VERB cana-2412 193 16 that that SCONJ cana-2412 193 17 the the DET cana-2412 193 18 momentum momentum NOUN cana-2412 193 19 boundary boundary ADJ cana-2412 193 20 layer layer NOUN cana-2412 193 21 thickness thickness NOUN cana-2412 193 22 becomes become VERB cana-2412 193 23 thinner thin ADJ cana-2412 193 24 . . PUNCT cana-2412 194 1 physically physically ADV cana-2412 194 2 , , PUNCT cana-2412 194 3 increasing increase VERB cana-2412 194 4 the the DET cana-2412 194 5 𝑀 𝑀 PROPN cana-2412 194 6 values value NOUN cana-2412 194 7 lead lead VERB cana-2412 194 8 to to ADP cana-2412 194 9 strong strong ADJ cana-2412 194 10 lorentz lorentz PROPN cana-2412 194 11 force force NOUN cana-2412 194 12 along along ADP cana-2412 194 13 the the DET cana-2412 194 14 vertical vertical ADJ cana-2412 194 15 direction direction NOUN cana-2412 194 16 which which PRON cana-2412 194 17 offers offer VERB cana-2412 194 18 more more ADJ cana-2412 194 19 resistance resistance NOUN cana-2412 194 20 to to ADP cana-2412 194 21 the the DET cana-2412 194 22 flow flow NOUN cana-2412 194 23 . . PUNCT cana-2412 195 1 fig fig NOUN cana-2412 195 2 . . PUNCT cana-2412 196 1 4 4 X cana-2412 196 2 . . X cana-2412 196 3 𝑓 𝑓 DET cana-2412 196 4 β€²(πœ‚ β€²(πœ‚ NOUN cana-2412 196 5 ) ) PUNCT cana-2412 196 6 for for ADP cana-2412 196 7 picked pick VERB cana-2412 196 8 values value NOUN cana-2412 196 9 of of ADP cana-2412 196 10 𝑀. 𝑀. ADP cana-2412 196 11 the the DET cana-2412 196 12 effect effect NOUN cana-2412 196 13 of of ADP cana-2412 196 14 thermal thermal ADJ cana-2412 196 15 radiation radiation NOUN cana-2412 196 16 parameter parameter NOUN cana-2412 196 17 𝑅 𝑅 PROPN cana-2412 196 18 on on ADP cana-2412 196 19 the the DET cana-2412 196 20 width width NOUN cana-2412 196 21 of of ADP cana-2412 196 22 temperature temperature NOUN cana-2412 196 23 profile profile NOUN cana-2412 196 24 is be AUX cana-2412 196 25 explained explain VERB cana-2412 196 26 in in ADP cana-2412 196 27 the the DET cana-2412 196 28 figure figure NOUN cana-2412 196 29 5 5 NUM cana-2412 196 30 and and CCONJ cana-2412 196 31 its its PRON cana-2412 196 32 stats stat NOUN cana-2412 196 33 that that SCONJ cana-2412 196 34 enhancing enhance VERB cana-2412 196 35 the the DET cana-2412 196 36 radiation radiation NOUN cana-2412 196 37 factor factor NOUN cana-2412 196 38 rises rise VERB cana-2412 196 39 the the DET cana-2412 196 40 thickness thickness NOUN cana-2412 196 41 of of ADP cana-2412 196 42 the the DET cana-2412 196 43 thermal thermal ADJ cana-2412 196 44 boundary boundary ADJ cana-2412 196 45 layer layer NOUN cana-2412 196 46 due due ADP cana-2412 196 47 to to ADP cana-2412 196 48 rate rate NOUN cana-2412 196 49 of of ADP cana-2412 196 50 heat heat NOUN cana-2412 196 51 transferred transfer VERB cana-2412 196 52 to to ADP cana-2412 196 53 fluid fluid NOUN cana-2412 196 54 by by ADP cana-2412 196 55 increased increase VERB cana-2412 196 56 radiation radiation NOUN cana-2412 196 57 . . PUNCT cana-2412 197 1 fig fig NOUN cana-2412 197 2 . . PUNCT cana-2412 198 1 5 5 NUM cana-2412 198 2 . . PUNCT cana-2412 198 3 𝜽(πœ‚ 𝜽(πœ‚ PROPN cana-2412 198 4 ) ) PUNCT cana-2412 198 5 for for ADP cana-2412 198 6 picked pick VERB cana-2412 198 7 values value NOUN cana-2412 198 8 of of ADP cana-2412 198 9 𝑅 𝑅 PROPN cana-2412 198 10 the the DET cana-2412 198 11 ratio ratio NOUN cana-2412 198 12 of of ADP cana-2412 198 13 momentum momentum NOUN cana-2412 198 14 to to ADP cana-2412 198 15 thermal thermal ADJ cana-2412 198 16 diffusivity diffusivity NOUN cana-2412 198 17 in in ADP cana-2412 198 18 the the DET cana-2412 198 19 boundary boundary ADJ cana-2412 198 20 layer layer NOUN cana-2412 198 21 is be AUX cana-2412 198 22 known know VERB cana-2412 198 23 as as ADP cana-2412 198 24 prandtl prandtl NOUN cana-2412 198 25 number number NOUN cana-2412 198 26 and and CCONJ cana-2412 198 27 it it PRON cana-2412 198 28 identifies identify VERB cana-2412 198 29 a a DET cana-2412 198 30 desperate desperate ADJ cana-2412 198 31 thermophysical thermophysical ADJ cana-2412 198 32 property property NOUN cana-2412 198 33 of of ADP cana-2412 198 34 a a DET cana-2412 198 35 fluid fluid NOUN cana-2412 198 36 . . PUNCT cana-2412 199 1 from from ADP cana-2412 199 2 the the DET cana-2412 199 3 figure figure NOUN cana-2412 199 4 6 6 NUM cana-2412 199 5 if if SCONJ cana-2412 199 6 the the DET cana-2412 199 7 values value NOUN cana-2412 199 8 of of ADP cana-2412 199 9 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-2412 199 10 rises rise NOUN cana-2412 199 11 , , PUNCT cana-2412 199 12 the the DET cana-2412 199 13 momentum momentum NOUN cana-2412 199 14 diffusivity diffusivity NOUN cana-2412 199 15 is be AUX cana-2412 199 16 larger large ADJ cana-2412 199 17 than than ADP cana-2412 199 18 thermal thermal ADJ cana-2412 199 19 diffusivity diffusivity NOUN cana-2412 199 20 which which PRON cana-2412 199 21 occurs occur VERB cana-2412 199 22 in in ADP cana-2412 199 23 low low ADJ cana-2412 199 24 - - PUNCT cana-2412 199 25 conductivity conductivity NOUN cana-2412 199 26 fluids fluid NOUN cana-2412 199 27 and and CCONJ cana-2412 199 28 as as ADP cana-2412 199 29 a a DET cana-2412 199 30 result result NOUN cana-2412 199 31 , , PUNCT cana-2412 199 32 both both CCONJ cana-2412 199 33 the the DET cana-2412 199 34 thickness thickness NOUN cana-2412 199 35 of of ADP cana-2412 199 36 the the DET cana-2412 199 37 thermal thermal ADJ cana-2412 199 38 boundary boundary ADJ cana-2412 199 39 layer layer NOUN cana-2412 199 40 and and CCONJ cana-2412 199 41 temperature temperature NOUN cana-2412 199 42 distribution distribution NOUN cana-2412 199 43 decline decline NOUN cana-2412 199 44 also also ADV cana-2412 199 45 rise rise VERB cana-2412 199 46 in in ADP cana-2412 199 47 heat heat NOUN cana-2412 199 48 transfer transfer NOUN cana-2412 199 49 rate rate NOUN cana-2412 199 50 . . PUNCT cana-2412 200 1 0 0 NUM cana-2412 201 1 1 1 NUM cana-2412 201 2 2 2 NUM cana-2412 201 3 3 3 NUM cana-2412 201 4 4 4 NUM cana-2412 201 5 5 5 NUM cana-2412 201 6 6 6 NUM cana-2412 201 7 7 7 NUM cana-2412 201 8 0.5 0.5 NUM cana-2412 201 9 0.55 0.55 NUM cana-2412 201 10 0.6 0.6 NUM cana-2412 201 11 0.65 0.65 NUM cana-2412 201 12 0.7 0.7 NUM cana-2412 201 13 0.75 0.75 NUM cana-2412 201 14 0.8 0.8 NUM cana-2412 201 15 0.85 0.85 NUM cana-2412 201 16 0.9 0.9 NUM cana-2412 201 17 0.95 0.95 NUM cana-2412 201 18 1 1 NUM cana-2412 201 19   NUM cana-2412 201 20 f f NOUN cana-2412 201 21 ' ' PUNCT cana-2412 201 22 ( ( PUNCT cana-2412 201 23   NUM cana-2412 201 24 ) ) PUNCT cana-2412 201 25 m m VERB cana-2412 201 26 = = SYM cana-2412 201 27 0 0 NUM cana-2412 201 28 , , PUNCT cana-2412 201 29 0.25 0.25 NUM cana-2412 201 30 , , PUNCT cana-2412 201 31 0.5 0.5 NUM cana-2412 201 32 , , PUNCT cana-2412 201 33 1 1 NUM cana-2412 201 34 0 0 NUM cana-2412 201 35 2 2 NUM cana-2412 201 36 4 4 NUM cana-2412 201 37 6 6 NUM cana-2412 201 38 8 8 NUM cana-2412 201 39 10 10 NUM cana-2412 201 40 0 0 NUM cana-2412 201 41 0.1 0.1 NUM cana-2412 201 42 0.2 0.2 NUM cana-2412 201 43 0.3 0.3 NUM cana-2412 201 44 0.4 0.4 NUM cana-2412 201 45 0.5 0.5 NUM cana-2412 201 46 0.6 0.6 NUM cana-2412 201 47 0.7 0.7 NUM cana-2412 201 48 0.8 0.8 NUM cana-2412 201 49   NUM cana-2412 201 50   X cana-2412 201 51 ( ( PUNCT cana-2412 201 52   NUM cana-2412 201 53 ) ) PUNCT cana-2412 201 54 r r NOUN cana-2412 201 55 = = SYM cana-2412 201 56 0 0 NUM cana-2412 201 57 , , PUNCT cana-2412 201 58 2 2 NUM cana-2412 201 59 , , PUNCT cana-2412 201 60 4 4 NUM cana-2412 201 61 , , PUNCT cana-2412 201 62 6 6 NUM cana-2412 201 63 communications communication NOUN cana-2412 201 64 on on ADP cana-2412 201 65 applied apply VERB cana-2412 201 66 nonlinear nonlinear ADJ cana-2412 201 67 analysis analysis NOUN cana-2412 201 68 issn issn NOUN cana-2412 201 69 : : PUNCT cana-2412 201 70 1074 1074 NUM cana-2412 201 71 - - PUNCT cana-2412 201 72 133x 133x NUM cana-2412 201 73 vol vol NOUN cana-2412 201 74 32 32 NUM cana-2412 201 75 no no NOUN cana-2412 201 76 . . PUNCT cana-2412 202 1 2s 2s NUM cana-2412 202 2 ( ( PUNCT cana-2412 202 3 2025 2025 NUM cana-2412 202 4 ) ) PUNCT cana-2412 202 5 396 396 NUM cana-2412 202 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 202 7 fig fig NOUN cana-2412 202 8 . . PUNCT cana-2412 203 1 6 6 NUM cana-2412 203 2 . . PUNCT cana-2412 203 3 𝜽(πœ‚ 𝜽(πœ‚ PROPN cana-2412 203 4 ) ) PUNCT cana-2412 203 5 for for ADP cana-2412 203 6 picked pick VERB cana-2412 203 7 values value NOUN cana-2412 203 8 of of ADP cana-2412 203 9 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-2412 203 10 figure figure NOUN cana-2412 203 11 7 7 NUM cana-2412 203 12 shows show VERB cana-2412 203 13 the the DET cana-2412 203 14 effect effect NOUN cana-2412 203 15 of of ADP cana-2412 203 16 erratic erratic ADJ cana-2412 203 17 viscous viscous ADJ cana-2412 203 18 dissipation dissipation NOUN cana-2412 203 19 parameter parameter NOUN cana-2412 203 20 ( ( PUNCT cana-2412 203 21 𝐸𝑐 𝐸𝑐 PROPN cana-2412 203 22 ) ) PUNCT cana-2412 203 23 on on ADP cana-2412 203 24 temperature temperature NOUN cana-2412 203 25 profile profile NOUN cana-2412 203 26 . . PUNCT cana-2412 204 1 the the DET cana-2412 204 2 eckert eckert PROPN cana-2412 204 3 number number NOUN cana-2412 204 4 articulate articulate VERB cana-2412 204 5 the the DET cana-2412 204 6 rapport rapport NOUN cana-2412 204 7 between between ADP cana-2412 204 8 the the DET cana-2412 204 9 kinetic kinetic ADJ cana-2412 204 10 energy energy NOUN cana-2412 204 11 in in ADP cana-2412 204 12 the the DET cana-2412 204 13 flow flow NOUN cana-2412 204 14 and and CCONJ cana-2412 204 15 the the DET cana-2412 204 16 enthalpy enthalpy NOUN cana-2412 204 17 , , PUNCT cana-2412 204 18 also also ADV cana-2412 204 19 causes cause VERB cana-2412 204 20 the the DET cana-2412 204 21 transformation transformation NOUN cana-2412 204 22 of of ADP cana-2412 204 23 kinetic kinetic ADJ cana-2412 204 24 energy energy NOUN cana-2412 204 25 into into ADP cana-2412 204 26 internal internal ADJ cana-2412 204 27 energy energy NOUN cana-2412 204 28 by by ADP cana-2412 204 29 the the DET cana-2412 204 30 work work NOUN cana-2412 204 31 that that PRON cana-2412 204 32 is be AUX cana-2412 204 33 done do VERB cana-2412 204 34 against against ADP cana-2412 204 35 the the DET cana-2412 204 36 viscous viscous ADJ cana-2412 204 37 fluid fluid NOUN cana-2412 204 38 stresses stress NOUN cana-2412 204 39 . . PUNCT cana-2412 205 1 while while SCONJ cana-2412 205 2 increase increase NOUN cana-2412 205 3 in in ADP cana-2412 205 4 eckert eckert PROPN cana-2412 205 5 number number NOUN cana-2412 205 6 resulting result VERB cana-2412 205 7 to to PART cana-2412 205 8 increase increase VERB cana-2412 205 9 the the DET cana-2412 205 10 kinetic kinetic ADJ cana-2412 205 11 energy energy NOUN cana-2412 205 12 which which PRON cana-2412 205 13 leads lead VERB cana-2412 205 14 to to ADP cana-2412 205 15 increases increase VERB cana-2412 205 16 the the DET cana-2412 205 17 collision collision NOUN cana-2412 205 18 of of ADP cana-2412 205 19 molecules molecule NOUN cana-2412 205 20 and and CCONJ cana-2412 205 21 such such ADJ cana-2412 205 22 increased increase VERB cana-2412 205 23 collision collision NOUN cana-2412 205 24 molecules molecule NOUN cana-2412 205 25 increases increase VERB cana-2412 205 26 the the DET cana-2412 205 27 dissipation dissipation NOUN cana-2412 205 28 of of ADP cana-2412 205 29 heat heat NOUN cana-2412 205 30 in in ADP cana-2412 205 31 the the DET cana-2412 205 32 boundary boundary ADJ cana-2412 205 33 layer layer NOUN cana-2412 205 34 region region NOUN cana-2412 205 35 and and CCONJ cana-2412 205 36 therefore therefore ADV cana-2412 205 37 increases increase VERB cana-2412 205 38 the the DET cana-2412 205 39 temperature temperature NOUN cana-2412 205 40 profile profile NOUN cana-2412 205 41 . . PUNCT cana-2412 206 1 fig fig NOUN cana-2412 206 2 . . PUNCT cana-2412 207 1 7 7 X cana-2412 207 2 . . X cana-2412 207 3 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-2412 207 4 ) ) PUNCT cana-2412 207 5 for for ADP cana-2412 207 6 picked pick VERB cana-2412 207 7 values value NOUN cana-2412 207 8 of of ADP cana-2412 207 9 𝐸𝑐 𝐸𝑐 PROPN cana-2412 207 10 the the DET cana-2412 207 11 heat heat NOUN cana-2412 207 12 generation generation NOUN cana-2412 207 13 / / SYM cana-2412 207 14 absorption absorption NOUN cana-2412 207 15 parameter parameter NOUN cana-2412 207 16 𝑄 𝑄 PRON cana-2412 207 17 shows show VERB cana-2412 207 18 the the DET cana-2412 207 19 significant significant ADJ cana-2412 207 20 effect effect NOUN cana-2412 207 21 on on ADP cana-2412 207 22 the the DET cana-2412 207 23 dimensionless dimensionless NOUN cana-2412 207 24 temperature temperature NOUN cana-2412 207 25 profile profile NOUN cana-2412 207 26 of of ADP cana-2412 207 27 the the DET cana-2412 207 28 fluid fluid NOUN cana-2412 207 29 . . PUNCT cana-2412 208 1 the the DET cana-2412 208 2 presence presence NOUN cana-2412 208 3 of of ADP cana-2412 208 4 external external ADJ cana-2412 208 5 heat heat NOUN cana-2412 208 6 source source NOUN cana-2412 208 7 causes cause VERB cana-2412 208 8 to to PART cana-2412 208 9 increase increase VERB cana-2412 208 10 in in ADP cana-2412 208 11 both both CCONJ cana-2412 208 12 the the DET cana-2412 208 13 temperature temperature NOUN cana-2412 208 14 distribution distribution NOUN cana-2412 208 15 and and CCONJ cana-2412 208 16 thermal thermal ADJ cana-2412 208 17 state state NOUN cana-2412 208 18 of of ADP cana-2412 208 19 the the DET cana-2412 208 20 fluid fluid NOUN cana-2412 208 21 and and CCONJ cana-2412 208 22 hence hence ADV cana-2412 208 23 increases increase VERB cana-2412 208 24 the the DET cana-2412 208 25 thermal thermal ADJ cana-2412 208 26 boundary boundary ADJ cana-2412 208 27 layer layer NOUN cana-2412 208 28 thickness thickness NOUN cana-2412 208 29 . . PUNCT cana-2412 209 1 so so ADV cana-2412 209 2 , , PUNCT cana-2412 209 3 the the DET cana-2412 209 4 temperature temperature NOUN cana-2412 209 5 profile profile NOUN cana-2412 209 6 increases increase VERB cana-2412 209 7 with with ADP cana-2412 209 8 an an DET cana-2412 209 9 increase increase NOUN cana-2412 209 10 in in ADP cana-2412 209 11 the the DET cana-2412 209 12 values value NOUN cana-2412 209 13 of of ADP cana-2412 209 14 𝑄 𝑄 PRON cana-2412 209 15 which which PRON cana-2412 209 16 shown show VERB cana-2412 209 17 in in ADP cana-2412 209 18 figure figure NOUN cana-2412 209 19 8 8 NUM cana-2412 209 20 . . NOUN cana-2412 209 21 0 0 NUM cana-2412 209 22 1 1 NUM cana-2412 209 23 2 2 NUM cana-2412 209 24 3 3 NUM cana-2412 209 25 4 4 NUM cana-2412 209 26 5 5 NUM cana-2412 209 27 6 6 NUM cana-2412 209 28 0 0 NUM cana-2412 209 29 0.1 0.1 NUM cana-2412 209 30 0.2 0.2 NUM cana-2412 209 31 0.3 0.3 NUM cana-2412 209 32 0.4 0.4 NUM cana-2412 209 33 0.5 0.5 NUM cana-2412 209 34 0.6 0.6 NUM cana-2412 209 35   NUM cana-2412 209 36   X cana-2412 209 37 ( ( PUNCT cana-2412 209 38   NUM cana-2412 209 39 ) ) PUNCT cana-2412 209 40 pr pr NOUN cana-2412 209 41 = = NOUN cana-2412 209 42 0.71 0.71 NUM cana-2412 209 43 , , PUNCT cana-2412 209 44 3 3 NUM cana-2412 209 45 , , PUNCT cana-2412 209 46 7 7 NUM cana-2412 209 47 , , PUNCT cana-2412 209 48 10 10 NUM cana-2412 209 49 0 0 NUM cana-2412 209 50 1 1 NUM cana-2412 209 51 2 2 NUM cana-2412 209 52 3 3 NUM cana-2412 209 53 4 4 NUM cana-2412 209 54 5 5 NUM cana-2412 209 55 6 6 NUM cana-2412 209 56 0 0 NUM cana-2412 209 57 0.1 0.1 NUM cana-2412 209 58 0.2 0.2 NUM cana-2412 209 59 0.3 0.3 NUM cana-2412 209 60 0.4 0.4 NUM cana-2412 209 61 0.5 0.5 NUM cana-2412 209 62 0.6 0.6 NUM cana-2412 209 63   NUM cana-2412 209 64   X cana-2412 209 65 ( ( PUNCT cana-2412 209 66   NUM cana-2412 209 67 ) ) PUNCT cana-2412 209 68 1.2 1.2 NUM cana-2412 209 69 1.4 1.4 NUM cana-2412 209 70 1.6 1.6 NUM cana-2412 209 71 1.8 1.8 NUM cana-2412 209 72 0.18 0.18 NUM cana-2412 209 73 0.2 0.2 NUM cana-2412 209 74 0.22 0.22 NUM cana-2412 209 75 0.24 0.24 NUM cana-2412 209 76   NUM cana-2412 209 77   X cana-2412 209 78 ( ( PUNCT cana-2412 209 79   NUM cana-2412 209 80 ) ) PUNCT cana-2412 209 81 ec ec PROPN cana-2412 209 82 = = SYM cana-2412 209 83 1 1 NUM cana-2412 209 84 , , PUNCT cana-2412 209 85 2 2 NUM cana-2412 209 86 , , PUNCT cana-2412 209 87 3 3 NUM cana-2412 209 88 , , PUNCT cana-2412 209 89 4 4 NUM cana-2412 209 90 communications communication NOUN cana-2412 209 91 on on ADP cana-2412 209 92 applied apply VERB cana-2412 209 93 nonlinear nonlinear ADJ cana-2412 209 94 analysis analysis NOUN cana-2412 209 95 issn issn NOUN cana-2412 209 96 : : PUNCT cana-2412 209 97 1074 1074 NUM cana-2412 209 98 - - PUNCT cana-2412 209 99 133x 133x NUM cana-2412 209 100 vol vol NOUN cana-2412 209 101 32 32 NUM cana-2412 209 102 no no NOUN cana-2412 209 103 . . PUNCT cana-2412 210 1 2s 2s NUM cana-2412 210 2 ( ( PUNCT cana-2412 210 3 2025 2025 NUM cana-2412 210 4 ) ) PUNCT cana-2412 210 5 397 397 NUM cana-2412 210 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 210 7 fig fig NOUN cana-2412 210 8 . . PUNCT cana-2412 211 1 8 8 NUM cana-2412 211 2 . . X cana-2412 211 3 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-2412 211 4 ) ) PUNCT cana-2412 211 5 for for ADP cana-2412 211 6 picked pick VERB cana-2412 211 7 values value NOUN cana-2412 211 8 of of ADP cana-2412 211 9 𝑄 𝑄 PRON cana-2412 211 10 the the DET cana-2412 211 11 effect effect NOUN cana-2412 211 12 of of ADP cana-2412 211 13 schmidt schmidt ADJ cana-2412 211 14 number number NOUN cana-2412 211 15 ( ( PUNCT cana-2412 211 16 𝑆𝑐 𝑆𝑐 PROPN cana-2412 211 17 ) ) PUNCT cana-2412 211 18 on on ADP cana-2412 211 19 concentration concentration NOUN cana-2412 211 20 profile profile NOUN cana-2412 211 21 is be AUX cana-2412 211 22 shown show VERB cana-2412 211 23 in in ADP cana-2412 211 24 figure figure NOUN cana-2412 211 25 9 9 NUM cana-2412 211 26 and and CCONJ cana-2412 211 27 which which PRON cana-2412 211 28 describes describe VERB cana-2412 211 29 decreases decrease NOUN cana-2412 211 30 nanoparticle nanoparticle NOUN cana-2412 211 31 volume volume NOUN cana-2412 211 32 fraction fraction NOUN cana-2412 211 33 with with ADP cana-2412 211 34 an an DET cana-2412 211 35 increase increase NOUN cana-2412 211 36 in in ADP cana-2412 211 37 𝑆𝑐. 𝑆𝑐. PROPN cana-2412 211 38 due due ADP cana-2412 211 39 to to ADP cana-2412 211 40 the the DET cana-2412 211 41 schmidt schmidt ADJ cana-2412 211 42 number number NOUN cana-2412 211 43 being be AUX cana-2412 211 44 the the DET cana-2412 211 45 ration ration NOUN cana-2412 211 46 of of ADP cana-2412 211 47 momentum momentum NOUN cana-2412 211 48 diffusivity diffusivity NOUN cana-2412 211 49 to to ADP cana-2412 211 50 mass mass VERB cana-2412 211 51 diffusivity diffusivity NOUN cana-2412 211 52 , , PUNCT cana-2412 211 53 an an DET cana-2412 211 54 increase increase NOUN cana-2412 211 55 in in ADP cana-2412 211 56 𝑆𝑐 𝑆𝑐 PROPN cana-2412 211 57 corresponds correspond NOUN cana-2412 211 58 to to ADP cana-2412 211 59 the the DET cana-2412 211 60 decrease decrease NOUN cana-2412 211 61 in in ADP cana-2412 211 62 brownian brownian ADJ cana-2412 211 63 diffusion diffusion NOUN cana-2412 211 64 coefficient coefficient NOUN cana-2412 211 65 and and CCONJ cana-2412 211 66 higher high ADJ cana-2412 211 67 momentum momentum NOUN cana-2412 211 68 diffusivity diffusivity NOUN cana-2412 211 69 can can AUX cana-2412 211 70 result result VERB cana-2412 211 71 in in ADP cana-2412 211 72 more more ADJ cana-2412 211 73 nanoparticle nanoparticle NOUN cana-2412 211 74 penetration penetration NOUN cana-2412 211 75 . . PUNCT cana-2412 212 1 fig fig NOUN cana-2412 212 2 . . PUNCT cana-2412 213 1 9 9 X cana-2412 213 2 . . X cana-2412 213 3 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-2412 213 4 ) ) PUNCT cana-2412 213 5 for for ADP cana-2412 213 6 picked pick VERB cana-2412 213 7 values value NOUN cana-2412 213 8 of of ADP cana-2412 213 9 𝑆𝑐 𝑆𝑐 PROPN cana-2412 213 10 the the DET cana-2412 213 11 impact impact NOUN cana-2412 213 12 of of ADP cana-2412 213 13 thermophoresis thermophoresis NOUN cana-2412 213 14 on on ADP cana-2412 213 15 the the DET cana-2412 213 16 nanoparticle nanoparticle NOUN cana-2412 213 17 concentration concentration NOUN cana-2412 213 18 is be AUX cana-2412 213 19 depicted depict VERB cana-2412 213 20 in in ADP cana-2412 213 21 figure figure NOUN cana-2412 213 22 10 10 NUM cana-2412 213 23 . . PUNCT cana-2412 214 1 from from ADP cana-2412 214 2 this this PRON cana-2412 214 3 we we PRON cana-2412 214 4 conclude conclude VERB cana-2412 214 5 that that SCONJ cana-2412 214 6 , , PUNCT cana-2412 214 7 when when SCONJ cana-2412 214 8 thermophoresis thermophoresis NOUN cana-2412 214 9 increases increase VERB cana-2412 214 10 , , PUNCT cana-2412 214 11 the the DET cana-2412 214 12 nanoparticle nanoparticle NOUN cana-2412 214 13 concentration concentration NOUN cana-2412 214 14 decreases decrease VERB cana-2412 214 15 . . PUNCT cana-2412 215 1 effect effect NOUN cana-2412 215 2 of of ADP cana-2412 215 3 brownian brownian ADJ cana-2412 215 4 motion motion NOUN cana-2412 215 5 on on ADP cana-2412 215 6 the the DET cana-2412 215 7 nanoparticle nanoparticle NOUN cana-2412 215 8 concentration concentration NOUN cana-2412 215 9 is be AUX cana-2412 215 10 shown show VERB cana-2412 215 11 in in ADP cana-2412 215 12 figure figure NOUN cana-2412 215 13 11 11 NUM cana-2412 215 14 . . PUNCT cana-2412 216 1 here here ADV cana-2412 216 2 , , PUNCT cana-2412 216 3 we we PRON cana-2412 216 4 can can AUX cana-2412 216 5 see see VERB cana-2412 216 6 that that PRON cana-2412 216 7 , , PUNCT cana-2412 216 8 as as ADP cana-2412 216 9 the the DET cana-2412 216 10 brownian brownian ADJ cana-2412 216 11 parameter parameter NOUN cana-2412 216 12 increases increase NOUN cana-2412 216 13 , , PUNCT cana-2412 216 14 nanoparticle nanoparticle NOUN cana-2412 216 15 concentration concentration NOUN cana-2412 216 16 increases increase NOUN cana-2412 216 17 throughout throughout ADP cana-2412 216 18 the the DET cana-2412 216 19 flow flow NOUN cana-2412 216 20 domain domain NOUN cana-2412 216 21 . . PUNCT cana-2412 217 1 0 0 NUM cana-2412 218 1 1 1 NUM cana-2412 218 2 2 2 NUM cana-2412 218 3 3 3 NUM cana-2412 218 4 4 4 NUM cana-2412 218 5 5 5 NUM cana-2412 218 6 6 6 NUM cana-2412 218 7 7 7 NUM cana-2412 218 8 0 0 NUM cana-2412 218 9 0.1 0.1 NUM cana-2412 218 10 0.2 0.2 NUM cana-2412 218 11 0.3 0.3 NUM cana-2412 218 12 0.4 0.4 NUM cana-2412 218 13 0.5 0.5 NUM cana-2412 218 14 0.6 0.6 NUM cana-2412 218 15 0.7 0.7 NUM cana-2412 218 16   NUM cana-2412 218 17   X cana-2412 218 18 ( ( PUNCT cana-2412 218 19   NUM cana-2412 218 20 ) ) PUNCT cana-2412 218 21 q q NOUN cana-2412 219 1 = = PUNCT cana-2412 219 2 -3 -3 ADJ cana-2412 219 3 , , PUNCT cana-2412 219 4 -2 -2 INTJ cana-2412 219 5 , , PUNCT cana-2412 219 6 -1 -1 INTJ cana-2412 219 7 , , PUNCT cana-2412 219 8 0 0 NUM cana-2412 219 9 0 0 NUM cana-2412 219 10 1 1 NUM cana-2412 219 11 2 2 NUM cana-2412 219 12 3 3 NUM cana-2412 219 13 4 4 NUM cana-2412 219 14 5 5 NUM cana-2412 219 15 6 6 NUM cana-2412 219 16 -0.14 -0.14 NUM cana-2412 219 17 -0.12 -0.12 NUM cana-2412 219 18 -0.1 -0.1 PROPN cana-2412 219 19 -0.08 -0.08 NUM cana-2412 219 20 -0.06 -0.06 NUM cana-2412 219 21 -0.04 -0.04 NUM cana-2412 219 22 -0.02 -0.02 NUM cana-2412 219 23 0 0 NUM cana-2412 219 24 0.02 0.02 NUM cana-2412 219 25 0.04 0.04 NUM cana-2412 219 26   NUM cana-2412 219 27   NOUN cana-2412 219 28 ( ( PUNCT cana-2412 219 29   NUM cana-2412 219 30 ) ) PUNCT cana-2412 219 31 sc sc PROPN cana-2412 219 32 = = NOUN cana-2412 219 33 0.5 0.5 NUM cana-2412 219 34 , , PUNCT cana-2412 219 35 1 1 NUM cana-2412 219 36 , , PUNCT cana-2412 219 37 1.5 1.5 NUM cana-2412 219 38 , , PUNCT cana-2412 219 39 2 2 NUM cana-2412 219 40 communications communication NOUN cana-2412 219 41 on on ADP cana-2412 219 42 applied apply VERB cana-2412 219 43 nonlinear nonlinear ADJ cana-2412 219 44 analysis analysis NOUN cana-2412 219 45 issn issn NOUN cana-2412 219 46 : : PUNCT cana-2412 219 47 1074 1074 NUM cana-2412 219 48 - - PUNCT cana-2412 219 49 133x 133x NUM cana-2412 219 50 vol vol NOUN cana-2412 219 51 32 32 NUM cana-2412 219 52 no no NOUN cana-2412 219 53 . . PUNCT cana-2412 220 1 2s 2s NUM cana-2412 220 2 ( ( PUNCT cana-2412 220 3 2025 2025 NUM cana-2412 220 4 ) ) PUNCT cana-2412 220 5 398 398 NUM cana-2412 220 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 220 7 fig fig NOUN cana-2412 220 8 . . PUNCT cana-2412 221 1 10 10 NUM cana-2412 221 2 . . PUNCT cana-2412 222 1 𝝋(πœ‚ 𝝋(πœ‚ NOUN cana-2412 222 2 ) ) PUNCT cana-2412 222 3 for for ADP cana-2412 222 4 picked pick VERB cana-2412 222 5 values value NOUN cana-2412 222 6 of of ADP cana-2412 222 7 𝑁𝑑 𝑁𝑑 PROPN cana-2412 222 8 fig fig NOUN cana-2412 222 9 . . PUNCT cana-2412 223 1 11 11 NUM cana-2412 223 2 . . PUNCT cana-2412 224 1 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-2412 224 2 ) ) PUNCT cana-2412 224 3 for for ADP cana-2412 224 4 picked pick VERB cana-2412 224 5 values value NOUN cana-2412 224 6 of of ADP cana-2412 224 7 𝑁𝑏 𝑁𝑏 PROPN cana-2412 224 8 effect effect NOUN cana-2412 224 9 of of ADP cana-2412 224 10 chemical chemical ADJ cana-2412 224 11 reaction reaction NOUN cana-2412 224 12 parameter parameter NOUN cana-2412 224 13 ( ( PUNCT cana-2412 224 14 Ξ³ Ξ³ PROPN cana-2412 224 15 ) ) PUNCT cana-2412 224 16 on on ADP cana-2412 224 17 nanoparticle nanoparticle NOUN cana-2412 224 18 volume volume NOUN cana-2412 224 19 fraction fraction NOUN cana-2412 224 20 profile profile NOUN cana-2412 224 21 is be AUX cana-2412 224 22 shown show VERB cana-2412 224 23 in in ADP cana-2412 224 24 figure figure NOUN cana-2412 224 25 12 12 NUM cana-2412 224 26 for for ADP cana-2412 224 27 different different ADJ cana-2412 224 28 positive positive ADJ cana-2412 224 29 values value NOUN cana-2412 224 30 of of ADP cana-2412 224 31 Ξ³ Ξ³ NOUN cana-2412 224 32 which which PRON cana-2412 224 33 reveals reveal VERB cana-2412 224 34 that that SCONJ cana-2412 224 35 the the DET cana-2412 224 36 nanoparticle nanoparticle NOUN cana-2412 224 37 volume volume NOUN cana-2412 224 38 fraction fraction NOUN cana-2412 224 39 decreases decrease VERB cana-2412 224 40 for for ADP cana-2412 224 41 constructive constructive ADJ cana-2412 224 42 chemical chemical NOUN cana-2412 224 43 reaction reaction NOUN cana-2412 224 44 parameter parameter PROPN cana-2412 224 45 . . PUNCT cana-2412 225 1 fig fig NOUN cana-2412 225 2 . . PUNCT cana-2412 226 1 12 12 NUM cana-2412 226 2 . . PUNCT cana-2412 227 1 πœƒ(πœ‚ πœƒ(πœ‚ X cana-2412 227 2 ) ) PUNCT cana-2412 227 3 for for ADP cana-2412 227 4 picked pick VERB cana-2412 227 5 values value NOUN cana-2412 227 6 of of ADP cana-2412 227 7 Ξ³ Ξ³ PROPN cana-2412 227 8 the the DET cana-2412 227 9 impact impact NOUN cana-2412 227 10 of of ADP cana-2412 227 11 suction suction NOUN cana-2412 227 12 parameter parameter NOUN cana-2412 227 13 on on ADP cana-2412 227 14 velocity velocity NOUN cana-2412 227 15 and and CCONJ cana-2412 227 16 temperature temperature NOUN cana-2412 227 17 profile profile NOUN cana-2412 227 18 of of ADP cana-2412 227 19 the the DET cana-2412 227 20 nanofluid nanofluid NOUN cana-2412 227 21 is be AUX cana-2412 227 22 depicted depict VERB cana-2412 227 23 via via ADP cana-2412 227 24 figure figure NOUN cana-2412 227 25 13(a 13(a NUM cana-2412 227 26 ) ) PUNCT cana-2412 227 27 and and CCONJ cana-2412 227 28 13(b 13(b NUM cana-2412 227 29 ) ) PUNCT cana-2412 227 30 respectively respectively ADV cana-2412 227 31 and and CCONJ cana-2412 227 32 we we PRON cana-2412 227 33 observed observe VERB cana-2412 227 34 that that SCONJ cana-2412 227 35 with with ADP cana-2412 227 36 enrichment enrichment NOUN cana-2412 227 37 of of ADP cana-2412 227 38 𝑠 𝑠 PROPN cana-2412 227 39 , , PUNCT cana-2412 227 40 the the DET cana-2412 227 41 nanofluid nanofluid ADJ cana-2412 227 42 velocity velocity NOUN cana-2412 227 43 increased increase VERB cana-2412 227 44 because because SCONJ cana-2412 227 45 of of ADP cana-2412 227 46 improvement improvement NOUN cana-2412 227 47 in in ADP cana-2412 227 48 momentum momentum NOUN cana-2412 227 49 boundary boundary ADJ cana-2412 227 50 layer layer NOUN cana-2412 227 51 thickness thickness NOUN cana-2412 227 52 due due ADP cana-2412 227 53 to to ADP cana-2412 227 54 enrichment enrichment NOUN cana-2412 227 55 impact impact NOUN cana-2412 227 56 of of ADP cana-2412 227 57 suction suction NOUN cana-2412 227 58 parameter parameter NOUN cana-2412 227 59 𝑠 𝑠 PROPN cana-2412 228 1 but but CCONJ cana-2412 228 2 the the DET cana-2412 228 3 decreasing decrease VERB cana-2412 228 4 behavior behavior NOUN cana-2412 228 5 was be AUX cana-2412 228 6 perceived perceive VERB cana-2412 228 7 over over ADP cana-2412 228 8 the the DET cana-2412 228 9 temperature temperature NOUN cana-2412 228 10 profile profile NOUN cana-2412 228 11 because because SCONJ cana-2412 228 12 of of ADP cana-2412 228 13 an an DET cana-2412 228 14 upsurge upsurge NOUN cana-2412 228 15 in in ADP cana-2412 228 16 the the DET cana-2412 228 17 rate rate NOUN cana-2412 228 18 of of ADP cana-2412 228 19 heat heat NOUN cana-2412 228 20 transfer transfer NOUN cana-2412 228 21 . . PUNCT cana-2412 229 1 0 0 NUM cana-2412 229 2 1 1 NUM cana-2412 229 3 2 2 NUM cana-2412 229 4 3 3 NUM cana-2412 229 5 4 4 NUM cana-2412 229 6 5 5 NUM cana-2412 229 7 6 6 NUM cana-2412 229 8 -0.4 -0.4 NUM cana-2412 229 9 -0.3 -0.3 PROPN cana-2412 229 10 -0.2 -0.2 PROPN cana-2412 229 11 -0.1 -0.1 PROPN cana-2412 229 12 0 0 NUM cana-2412 229 13 0.1 0.1 NUM cana-2412 229 14   NUM cana-2412 229 15   NOUN cana-2412 229 16 ( ( PUNCT cana-2412 229 17   NUM cana-2412 229 18 ) ) PUNCT cana-2412 229 19 nt not PART cana-2412 229 20 = = SYM cana-2412 229 21 0.2 0.2 NUM cana-2412 229 22 , , PUNCT cana-2412 229 23 0.4 0.4 NUM cana-2412 229 24 , , PUNCT cana-2412 229 25 0.6 0.6 NUM cana-2412 229 26 , , PUNCT cana-2412 229 27 0.8 0.8 NUM cana-2412 229 28 0 0 NUM cana-2412 229 29 1 1 NUM cana-2412 229 30 2 2 NUM cana-2412 229 31 3 3 NUM cana-2412 229 32 4 4 NUM cana-2412 229 33 5 5 NUM cana-2412 229 34 6 6 NUM cana-2412 229 35 7 7 NUM cana-2412 229 36 -0.1 -0.1 NOUN cana-2412 229 37 -0.08 -0.08 NUM cana-2412 229 38 -0.06 -0.06 NUM cana-2412 229 39 -0.04 -0.04 NUM cana-2412 229 40 -0.02 -0.02 NUM cana-2412 229 41 0 0 NUM cana-2412 229 42 0.02 0.02 NUM cana-2412 229 43   NUM cana-2412 229 44   NOUN cana-2412 229 45 ( ( PUNCT cana-2412 229 46   NUM cana-2412 229 47 ) ) PUNCT cana-2412 229 48 nb nb NOUN cana-2412 230 1 = = PUNCT cana-2412 230 2 0.3 0.3 NUM cana-2412 230 3 , , PUNCT cana-2412 230 4 0.5 0.5 NUM cana-2412 230 5 , , PUNCT cana-2412 230 6 0.7 0.7 NUM cana-2412 230 7 , , PUNCT cana-2412 230 8 0.9 0.9 NUM cana-2412 230 9 0 0 NUM cana-2412 230 10 1 1 NUM cana-2412 230 11 2 2 NUM cana-2412 230 12 3 3 NUM cana-2412 230 13 4 4 NUM cana-2412 230 14 5 5 NUM cana-2412 230 15 6 6 NUM cana-2412 230 16 7 7 NUM cana-2412 230 17 -0.1 -0.1 NOUN cana-2412 230 18 -0.08 -0.08 NUM cana-2412 230 19 -0.06 -0.06 NUM cana-2412 230 20 -0.04 -0.04 NUM cana-2412 230 21 -0.02 -0.02 NUM cana-2412 230 22 0 0 NUM cana-2412 230 23 0.02 0.02 NUM cana-2412 230 24   NUM cana-2412 230 25   NOUN cana-2412 230 26 ( ( PUNCT cana-2412 230 27   NUM cana-2412 230 28 ) ) PUNCT cana-2412 230 29 = = ADP cana-2412 230 30 1 1 NUM cana-2412 230 31 , , PUNCT cana-2412 230 32 2 2 NUM cana-2412 230 33 , , PUNCT cana-2412 230 34 3 3 NUM cana-2412 230 35 , , PUNCT cana-2412 230 36 4 4 NUM cana-2412 230 37 communications communication NOUN cana-2412 230 38 on on ADP cana-2412 230 39 applied apply VERB cana-2412 230 40 nonlinear nonlinear ADJ cana-2412 230 41 analysis analysis NOUN cana-2412 230 42 issn issn NOUN cana-2412 230 43 : : PUNCT cana-2412 230 44 1074 1074 NUM cana-2412 230 45 - - PUNCT cana-2412 230 46 133x 133x NUM cana-2412 230 47 vol vol NOUN cana-2412 230 48 32 32 NUM cana-2412 230 49 no no NOUN cana-2412 230 50 . . PUNCT cana-2412 231 1 2s 2s NUM cana-2412 231 2 ( ( PUNCT cana-2412 231 3 2025 2025 NUM cana-2412 231 4 ) ) PUNCT cana-2412 231 5 399 399 NUM cana-2412 231 6 https://internationalpubls.com https://internationalpubls.com NUM cana-2412 231 7 fig fig NOUN cana-2412 231 8 . . PUNCT cana-2412 232 1 13(a 13(a NUM cana-2412 232 2 ) ) PUNCT cana-2412 232 3 . . PUNCT cana-2412 233 1 𝑓 𝑓 DET cana-2412 233 2 β€²(πœ‚ β€²(πœ‚ NOUN cana-2412 233 3 ) ) PUNCT cana-2412 233 4 for for ADP cana-2412 233 5 picked pick VERB cana-2412 233 6 values value NOUN cana-2412 233 7 of of ADP cana-2412 233 8 𝑠 𝑠 PRON cana-2412 233 9 fig fig NOUN cana-2412 233 10 . . PUNCT cana-2412 234 1 13(b 13(b NUM cana-2412 234 2 ) ) PUNCT cana-2412 234 3 . . PUNCT cana-2412 235 1 πœƒ(πœ‚ πœƒ(πœ‚ X cana-2412 235 2 ) ) PUNCT cana-2412 235 3 for for ADP cana-2412 235 4 picked pick VERB cana-2412 235 5 values value NOUN cana-2412 235 6 of of ADP cana-2412 235 7 𝑠 𝑠 PROPN cana-2412 235 8 the the DET cana-2412 235 9 influences influence NOUN cana-2412 235 10 of of ADP cana-2412 235 11 velocity velocity NOUN cana-2412 235 12 ratio ratio NOUN cana-2412 235 13 parameter parameter NOUN cana-2412 235 14 on on ADP cana-2412 235 15 flow flow NOUN cana-2412 235 16 velocity velocity NOUN cana-2412 235 17 , , PUNCT cana-2412 235 18 temperature temperature NOUN cana-2412 235 19 and and CCONJ cana-2412 235 20 concentration concentration NOUN cana-2412 235 21 profiles profile NOUN cana-2412 235 22 are be AUX cana-2412 235 23 revealed reveal VERB cana-2412 235 24 through through ADP cana-2412 235 25 figures figure NOUN cana-2412 235 26 14(a 14(a NUM cana-2412 235 27 ) ) PUNCT cana-2412 235 28 , , PUNCT cana-2412 235 29 14(b 14(b NUM cana-2412 235 30 ) ) PUNCT cana-2412 235 31 and and CCONJ cana-2412 235 32 14(c 14(c NUM cana-2412 235 33 ) ) PUNCT cana-2412 235 34 respectively respectively ADV cana-2412 235 35 . . PUNCT cana-2412 236 1 as as ADP cana-2412 236 2 the the DET cana-2412 236 3 values value NOUN cana-2412 236 4 of of ADP cana-2412 236 5 velocity velocity NOUN cana-2412 236 6 ratio ratio NOUN cana-2412 236 7 upsurge upsurge NOUN cana-2412 236 8 , , PUNCT cana-2412 236 9 the the DET cana-2412 236 10 boundary boundary ADJ cana-2412 236 11 layer layer NOUN cana-2412 236 12 thickness thickness NOUN cana-2412 236 13 rises rise VERB cana-2412 236 14 and and CCONJ cana-2412 236 15 the the DET cana-2412 236 16 flow flow NOUN cana-2412 236 17 has have VERB cana-2412 236 18 boundary boundary ADJ cana-2412 236 19 layer layer NOUN cana-2412 236 20 structure structure NOUN cana-2412 236 21 . . PUNCT cana-2412 237 1 the the DET cana-2412 237 2 graph graph NOUN cana-2412 237 3 of of ADP cana-2412 237 4 velocity velocity NOUN cana-2412 237 5 is be AUX cana-2412 237 6 possible possible ADJ cana-2412 237 7 when when SCONJ cana-2412 237 8 the the DET cana-2412 237 9 free free ADJ cana-2412 237 10 steam steam NOUN cana-2412 237 11 velocity velocity NOUN cana-2412 237 12 is be AUX cana-2412 237 13 less less ADJ cana-2412 237 14 than than ADP cana-2412 237 15 or or CCONJ cana-2412 237 16 equal equal ADJ cana-2412 237 17 to to ADP cana-2412 237 18 the the DET cana-2412 237 19 velocity velocity NOUN cana-2412 237 20 of of ADP cana-2412 237 21 stretching stretch VERB cana-2412 237 22 sheet sheet NOUN cana-2412 237 23 . . PUNCT cana-2412 238 1 that that PRON cana-2412 238 2 is be AUX cana-2412 238 3 when when SCONJ cana-2412 238 4 velocity velocity NOUN cana-2412 238 5 ratio ratio NOUN cana-2412 238 6 is be AUX cana-2412 238 7 less less ADJ cana-2412 238 8 than than ADP cana-2412 238 9 or or CCONJ cana-2412 238 10 equal equal ADJ cana-2412 238 11 to to ADP cana-2412 238 12 one one NUM cana-2412 238 13 . . PUNCT cana-2412 239 1 but but CCONJ cana-2412 239 2 as as ADP cana-2412 239 3 the the DET cana-2412 239 4 value value NOUN cana-2412 239 5 of of ADP cana-2412 239 6 velocity velocity NOUN cana-2412 239 7 ratio ratio NOUN cana-2412 239 8 parameter parameter NOUN cana-2412 239 9 increases increase NOUN cana-2412 239 10 , , PUNCT cana-2412 239 11 thermal thermal ADJ cana-2412 239 12 boundary boundary ADJ cana-2412 239 13 layer layer NOUN cana-2412 239 14 thickness thickness NOUN cana-2412 239 15 decreases decrease VERB cana-2412 239 16 as as ADV cana-2412 239 17 well well ADV cana-2412 239 18 as as ADP cana-2412 239 19 the the DET cana-2412 239 20 same same ADJ cana-2412 239 21 result result NOUN cana-2412 239 22 will will AUX cana-2412 239 23 reflect reflect VERB cana-2412 239 24 on on ADP cana-2412 239 25 concentration concentration NOUN cana-2412 239 26 profile profile NOUN cana-2412 239 27 of of ADP cana-2412 239 28 the the DET cana-2412 239 29 nanofluid nanofluid PROPN cana-2412 239 30 . . PUNCT cana-2412 240 1 fig fig NOUN cana-2412 240 2 . . PUNCT cana-2412 241 1 14(a 14(a NUM cana-2412 241 2 ) ) PUNCT cana-2412 241 3 . . PUNCT cana-2412 242 1 𝑓 𝑓 DET cana-2412 242 2 β€²(πœ‚ β€²(πœ‚ NOUN cana-2412 242 3 ) ) PUNCT cana-2412 242 4 for for ADP cana-2412 242 5 picked pick VERB cana-2412 242 6 values value NOUN cana-2412 242 7 of of ADP cana-2412 242 8 πœ† πœ† DET cana-2412 242 9 fig fig NOUN cana-2412 242 10 . . PUNCT cana-2412 243 1 14(b 14(b NUM cana-2412 243 2 ) ) PUNCT cana-2412 243 3 . . PUNCT cana-2412 244 1 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-2412 244 2 ) ) PUNCT cana-2412 244 3 for for ADP cana-2412 244 4 picked pick VERB cana-2412 244 5 values value NOUN cana-2412 244 6 of of ADP cana-2412 244 7 πœ† πœ† DET cana-2412 244 8 0 0 NUM cana-2412 244 9 1 1 NUM cana-2412 244 10 2 2 NUM cana-2412 244 11 3 3 NUM cana-2412 244 12 4 4 NUM cana-2412 244 13 5 5 NUM cana-2412 244 14 6 6 NUM cana-2412 244 15 7 7 NUM cana-2412 244 16 8 8 NUM cana-2412 244 17 9 9 NUM cana-2412 244 18 0.5 0.5 NUM cana-2412 244 19 0.55 0.55 NUM cana-2412 244 20 0.6 0.6 NUM cana-2412 244 21 0.65 0.65 NUM cana-2412 244 22 0.7 0.7 NUM cana-2412 244 23 0.75 0.75 NUM cana-2412 244 24 0.8 0.8 NUM cana-2412 244 25 0.85 0.85 NUM cana-2412 245 1 0.9 0.9 NUM cana-2412 245 2 0.95 0.95 NUM cana-2412 245 3 1 1 NUM cana-2412 245 4   NUM cana-2412 245 5 f f NOUN cana-2412 245 6 ' ' PUNCT cana-2412 245 7 ( ( PUNCT cana-2412 245 8   NUM cana-2412 245 9 ) ) PUNCT cana-2412 245 10 s s PART cana-2412 245 11 = = PUNCT cana-2412 245 12 -2 -2 PROPN cana-2412 245 13 , , PUNCT cana-2412 245 14 -1 -1 INTJ cana-2412 245 15 , , PUNCT cana-2412 245 16 0 0 NUM cana-2412 245 17 , , PUNCT cana-2412 245 18 1 1 NUM cana-2412 245 19 , , PUNCT cana-2412 245 20 2 2 NUM cana-2412 245 21 fig.13(a fig.13(a NOUN cana-2412 245 22 ) ) PUNCT cana-2412 245 23 0 0 NUM cana-2412 246 1 1 1 NUM cana-2412 246 2 2 2 NUM cana-2412 246 3 3 3 NUM cana-2412 246 4 4 4 NUM cana-2412 246 5 5 5 NUM cana-2412 246 6 6 6 NUM cana-2412 246 7 7 7 NUM cana-2412 246 8 8 8 NUM cana-2412 246 9 0 0 NUM cana-2412 246 10 0.1 0.1 NUM cana-2412 246 11 0.2 0.2 NUM cana-2412 246 12 0.3 0.3 NUM cana-2412 246 13 0.4 0.4 NUM cana-2412 246 14 0.5 0.5 NUM cana-2412 246 15 0.6 0.6 NUM cana-2412 246 16 0.7 0.7 NUM cana-2412 246 17 0.8 0.8 NUM cana-2412 246 18   NUM cana-2412 246 19   X cana-2412 246 20 ( ( PUNCT cana-2412 246 21   NUM cana-2412 246 22 ) ) PUNCT cana-2412 246 23 s s PART cana-2412 246 24 = = PUNCT cana-2412 246 25 -2 -2 PROPN cana-2412 246 26 , , PUNCT cana-2412 246 27 -1 -1 INTJ cana-2412 246 28 , , PUNCT cana-2412 246 29 0 0 NUM cana-2412 246 30 , , PUNCT cana-2412 246 31 1 1 NUM cana-2412 246 32 , , PUNCT cana-2412 246 33 2 2 NUM cana-2412 246 34 fig fig NOUN cana-2412 246 35 . . PUNCT cana-2412 247 1 13(b 13(b NUM cana-2412 247 2 ) ) PUNCT cana-2412 247 3 0 0 NUM cana-2412 247 4 1 1 NUM cana-2412 247 5 2 2 NUM cana-2412 247 6 3 3 NUM cana-2412 247 7 4 4 NUM cana-2412 247 8 5 5 NUM cana-2412 247 9 6 6 NUM cana-2412 247 10 7 7 NUM cana-2412 247 11 0 0 NUM cana-2412 247 12 0.2 0.2 NUM cana-2412 247 13 0.4 0.4 NUM cana-2412 247 14 0.6 0.6 NUM cana-2412 247 15 0.8 0.8 NUM cana-2412 247 16 1 1 NUM cana-2412 247 17 1.2 1.2 NUM cana-2412 247 18   NUM cana-2412 247 19 f f NOUN cana-2412 247 20 ' ' PUNCT cana-2412 247 21 ( ( PUNCT cana-2412 247 22   NUM cana-2412 247 23 ) ) PUNCT cana-2412 247 24   X cana-2412 247 25 = = X cana-2412 247 26 0 0 NUM cana-2412 247 27 , , PUNCT cana-2412 247 28 0.2 0.2 NUM cana-2412 247 29 , , PUNCT cana-2412 247 30 0.4 0.4 NUM cana-2412 247 31 , , PUNCT cana-2412 247 32 1 1 NUM cana-2412 247 33 , , PUNCT cana-2412 247 34 1.2 1.2 NUM cana-2412 247 35 fig fig NOUN cana-2412 247 36 . . PUNCT cana-2412 248 1 14(a 14(a NUM cana-2412 248 2 ) ) PUNCT cana-2412 248 3 0 0 NUM cana-2412 248 4 1 1 NUM cana-2412 248 5 2 2 NUM cana-2412 248 6 3 3 NUM cana-2412 248 7 4 4 NUM cana-2412 248 8 5 5 NUM cana-2412 248 9 6 6 NUM cana-2412 248 10 0 0 NUM cana-2412 248 11 0.1 0.1 NUM cana-2412 248 12 0.2 0.2 NUM cana-2412 248 13 0.3 0.3 NUM cana-2412 248 14 0.4 0.4 NUM cana-2412 248 15 0.5 0.5 NUM cana-2412 248 16 0.6 0.6 NUM cana-2412 248 17   NUM cana-2412 248 18   X cana-2412 248 19 ( ( PUNCT cana-2412 248 20   NUM cana-2412 248 21 ) ) PUNCT cana-2412 248 22   X cana-2412 248 23 = = X cana-2412 248 24 0 0 NUM cana-2412 248 25 , , PUNCT cana-2412 248 26 0.2 0.2 NUM cana-2412 248 27 , , PUNCT cana-2412 248 28 0.4 0.4 NUM cana-2412 248 29 , , PUNCT cana-2412 248 30 1 1 NUM cana-2412 248 31 , , PUNCT cana-2412 248 32 1.2 1.2 NUM cana-2412 248 33 fig fig NOUN cana-2412 248 34 . . PUNCT cana-2412 249 1 14(b 14(b NUM cana-2412 249 2 ) ) PUNCT cana-2412 249 3 communications communication NOUN cana-2412 249 4 on on ADP cana-2412 249 5 applied apply VERB cana-2412 249 6 nonlinear nonlinear ADJ cana-2412 249 7 analysis analysis NOUN cana-2412 249 8 issn issn NOUN cana-2412 249 9 : : PUNCT cana-2412 249 10 1074 1074 NUM cana-2412 249 11 - - PUNCT cana-2412 249 12 133x 133x NUM cana-2412 249 13 vol vol NOUN cana-2412 249 14 32 32 NUM cana-2412 249 15 no no NOUN cana-2412 249 16 . . PUNCT cana-2412 250 1 2s 2s NUM cana-2412 250 2 ( ( PUNCT cana-2412 250 3 2025 2025 NUM cana-2412 250 4 ) ) PUNCT cana-2412 250 5 400 400 NUM cana-2412 250 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 250 7 fig fig NOUN cana-2412 250 8 . . PUNCT cana-2412 251 1 14(c 14(c NUM cana-2412 251 2 ) ) PUNCT cana-2412 251 3 . . PUNCT cana-2412 252 1 πœ™(πœ‚ πœ™(πœ‚ PROPN cana-2412 252 2 ) ) PUNCT cana-2412 252 3 for for ADP cana-2412 252 4 picked pick VERB cana-2412 252 5 values value NOUN cana-2412 252 6 of of ADP cana-2412 252 7 πœ† πœ† DET cana-2412 252 8 figure figure NOUN cana-2412 252 9 15(a 15(a NUM cana-2412 252 10 ) ) PUNCT cana-2412 252 11 gives give VERB cana-2412 252 12 the the DET cana-2412 252 13 influence influence NOUN cana-2412 252 14 of of ADP cana-2412 252 15 thermal thermal ADJ cana-2412 252 16 biot biot ADJ cana-2412 252 17 number number NOUN cana-2412 252 18 ( ( PUNCT cana-2412 252 19 𝑏𝑖 𝑏𝑖 NOUN cana-2412 252 20 ) ) PUNCT cana-2412 252 21 on on ADP cana-2412 252 22 the the DET cana-2412 252 23 temperature temperature NOUN cana-2412 252 24 profile profile NOUN cana-2412 252 25 . . PUNCT cana-2412 253 1 due due ADP cana-2412 253 2 to to ADP cana-2412 253 3 large large ADJ cana-2412 253 4 biot biot ADJ cana-2412 253 5 number number NOUN cana-2412 253 6 simulates simulate VERB cana-2412 253 7 a a DET cana-2412 253 8 strong strong ADJ cana-2412 253 9 heat heat NOUN cana-2412 253 10 convection convection NOUN cana-2412 253 11 surface surface NOUN cana-2412 253 12 which which PRON cana-2412 253 13 leads lead VERB cana-2412 253 14 to to ADP cana-2412 253 15 more more ADJ cana-2412 253 16 heat heat NOUN cana-2412 253 17 to to ADP cana-2412 253 18 the the DET cana-2412 253 19 surface surface NOUN cana-2412 253 20 and and CCONJ cana-2412 253 21 hence hence ADV cana-2412 253 22 the the DET cana-2412 253 23 fluid fluid ADJ cana-2412 253 24 temperature temperature NOUN cana-2412 253 25 increases increase NOUN cana-2412 253 26 with with ADP cana-2412 253 27 the the DET cana-2412 253 28 increment increment NOUN cana-2412 253 29 in in ADP cana-2412 253 30 𝑏𝑖. 𝑏𝑖. NOUN cana-2412 253 31 from from ADP cana-2412 253 32 figure figure NOUN cana-2412 253 33 15(b 15(b NUM cana-2412 253 34 ) ) PUNCT cana-2412 253 35 it it PRON cana-2412 253 36 is be AUX cana-2412 253 37 observed observe VERB cana-2412 253 38 that that SCONJ cana-2412 253 39 increases increase VERB cana-2412 253 40 the the DET cana-2412 253 41 fluid fluid ADJ cana-2412 253 42 concentration concentration NOUN cana-2412 253 43 effectively effectively ADV cana-2412 253 44 with with ADP cana-2412 253 45 increasing increase VERB cana-2412 253 46 values value NOUN cana-2412 253 47 of of ADP cana-2412 253 48 𝑏𝑖. 𝑏𝑖. VERB cana-2412 253 49 fig fig NOUN cana-2412 253 50 . . PUNCT cana-2412 254 1 15(a 15(a NUM cana-2412 254 2 ) ) PUNCT cana-2412 254 3 . . PUNCT cana-2412 255 1 πœƒ(πœ‚ πœƒ(πœ‚ X cana-2412 255 2 ) ) PUNCT cana-2412 255 3 for for ADP cana-2412 255 4 picked pick VERB cana-2412 255 5 values value NOUN cana-2412 255 6 of of ADP cana-2412 255 7 𝑏𝑖 𝑏𝑖 ADP cana-2412 255 8 fig fig NOUN cana-2412 255 9 . . PUNCT cana-2412 256 1 15(b 15(b NUM cana-2412 256 2 ) ) PUNCT cana-2412 256 3 . . PUNCT cana-2412 257 1 πœ™(πœ‚ πœ™(πœ‚ PROPN cana-2412 257 2 ) ) PUNCT cana-2412 257 3 for for ADP cana-2412 257 4 picked pick VERB cana-2412 257 5 values value NOUN cana-2412 257 6 of of ADP cana-2412 257 7 𝑏𝑖 𝑏𝑖 ADP cana-2412 257 8 the the DET cana-2412 257 9 variation variation NOUN cana-2412 257 10 of of ADP cana-2412 257 11 skin skin NOUN cana-2412 257 12 - - PUNCT cana-2412 257 13 friction friction NOUN cana-2412 257 14 coefficient coefficient NOUN cana-2412 257 15 ( ( PUNCT cana-2412 257 16 1 1 NUM cana-2412 257 17 2βˆ’π›½ 2βˆ’π›½ NUM cana-2412 257 18 ) ) PUNCT cana-2412 257 19 1/2 1/2 NUM cana-2412 257 20 𝑓′′(0 𝑓′′(0 NOUN cana-2412 257 21 ) ) PUNCT cana-2412 257 22 against against ADP cana-2412 257 23 wedge wedge NOUN cana-2412 257 24 parameter parameter NOUN cana-2412 257 25 𝛽 𝛽 PROPN cana-2412 257 26 for for ADP cana-2412 257 27 different different ADJ cana-2412 257 28 values value NOUN cana-2412 257 29 of of ADP cana-2412 257 30 magnetic magnetic ADJ cana-2412 257 31 parameter parameter PROPN cana-2412 257 32 𝑀 𝑀 PROPN cana-2412 257 33 , , PUNCT cana-2412 257 34 and and CCONJ cana-2412 257 35 casson casson PROPN cana-2412 257 36 fluid fluid NOUN cana-2412 257 37 parameter parameter NOUN cana-2412 257 38 𝛾 𝛾 NOUN cana-2412 257 39 reveals reveal NOUN cana-2412 257 40 in in ADP cana-2412 257 41 the the DET cana-2412 257 42 figure figure NOUN cana-2412 257 43 16 16 NUM cana-2412 258 1 and and CCONJ cana-2412 258 2 it it PRON cana-2412 258 3 is be AUX cana-2412 258 4 very very ADV cana-2412 258 5 clear clear ADJ cana-2412 258 6 that that SCONJ cana-2412 258 7 the the DET cana-2412 258 8 skin skin NOUN cana-2412 258 9 - - PUNCT cana-2412 258 10 friction friction NOUN cana-2412 258 11 coefficient coefficient NOUN cana-2412 258 12 is be AUX cana-2412 258 13 increased increase VERB cana-2412 258 14 with with ADP cana-2412 258 15 both both CCONJ cana-2412 258 16 the the DET cana-2412 258 17 increase increase NOUN cana-2412 258 18 of of ADP cana-2412 258 19 𝑀 𝑀 PROPN cana-2412 258 20 , , PUNCT cana-2412 258 21 𝛾 𝛾 PROPN cana-2412 258 22 and and CCONJ cana-2412 258 23 it it PRON cana-2412 258 24 also also ADV cana-2412 258 25 observed observe VERB cana-2412 258 26 that that SCONJ cana-2412 258 27 as as SCONJ cana-2412 258 28 𝛽 𝛽 NOUN cana-2412 258 29 increases increase VERB cana-2412 258 30 skin skin NOUN cana-2412 258 31 - - PUNCT cana-2412 258 32 friction friction NOUN cana-2412 258 33 coefficient coefficient NOUN cana-2412 258 34 increases increase NOUN cana-2412 258 35 . . PUNCT cana-2412 259 1 figure figure NOUN cana-2412 259 2 17 17 NUM cana-2412 259 3 gives give VERB cana-2412 259 4 the the DET cana-2412 259 5 plots plot NOUN cana-2412 259 6 of of ADP cana-2412 259 7 nussult nussult NOUN cana-2412 259 8 number number NOUN cana-2412 259 9 βˆ’πœƒβ€²(0 βˆ’πœƒβ€²(0 PROPN cana-2412 259 10 ) ) PUNCT cana-2412 259 11 versus versus ADP cana-2412 259 12 the the DET cana-2412 259 13 eckert eckert PROPN cana-2412 259 14 number number NOUN cana-2412 259 15 𝐸𝑐 𝐸𝑐 PROPN cana-2412 259 16 for for ADP cana-2412 259 17 different different ADJ cana-2412 259 18 values value NOUN cana-2412 259 19 of of ADP cana-2412 259 20 heat heat NOUN cana-2412 259 21 source source NOUN cana-2412 259 22 or or CCONJ cana-2412 259 23 sink sink NOUN cana-2412 259 24 parameter parameter NOUN cana-2412 259 25 𝑄 𝑄 PROPN cana-2412 259 26 and and CCONJ cana-2412 259 27 thermal thermal ADJ cana-2412 259 28 radiation radiation NOUN cana-2412 259 29 parameter parameter NOUN cana-2412 259 30 𝑅. 𝑅. NOUN cana-2412 259 31 it it PRON cana-2412 259 32 is be AUX cana-2412 259 33 observed observe VERB cana-2412 259 34 that that SCONJ cana-2412 259 35 the the DET cana-2412 259 36 nussult nussult NOUN cana-2412 259 37 number number NOUN cana-2412 259 38 increases increase VERB cana-2412 259 39 with with ADP cana-2412 259 40 both both CCONJ cana-2412 259 41 the the DET cana-2412 259 42 increased increase VERB cana-2412 259 43 values value NOUN cana-2412 259 44 of of ADP cana-2412 259 45 𝑄 𝑄 PROPN cana-2412 259 46 and and CCONJ cana-2412 259 47 𝑅. 𝑅. VERB cana-2412 259 48 in in ADP cana-2412 259 49 figure figure NOUN cana-2412 259 50 18 18 NUM cana-2412 259 51 the the DET cana-2412 259 52 effect effect NOUN cana-2412 259 53 of of ADP cana-2412 259 54 thermophoresis thermophoresis NOUN cana-2412 259 55 parameter parameter NOUN cana-2412 259 56 𝑁𝑑 𝑁𝑑 PROPN cana-2412 259 57 on on ADP cana-2412 259 58 sherwood sherwood PROPN cana-2412 259 59 number number PROPN cana-2412 259 60 βˆ’πœ‘β€²(0 βˆ’πœ‘β€²(0 PROPN cana-2412 259 61 ) ) PUNCT cana-2412 259 62 is be AUX cana-2412 259 63 depicted depict VERB cana-2412 259 64 for for ADP cana-2412 259 65 different different ADJ cana-2412 259 66 values value NOUN cana-2412 259 67 of of ADP cana-2412 259 68 brownian brownian ADJ cana-2412 259 69 motion motion NOUN cana-2412 259 70 parameter parameter NOUN cana-2412 259 71 𝑁𝑏 𝑁𝑏 PROPN cana-2412 259 72 and and CCONJ cana-2412 259 73 schmidge schmidge VERB cana-2412 259 74 number number NOUN cana-2412 259 75 𝑆𝑐 𝑆𝑐 PROPN cana-2412 259 76 and and CCONJ cana-2412 259 77 it it PRON cana-2412 259 78 is be AUX cana-2412 259 79 0 0 NUM cana-2412 259 80 1 1 NUM cana-2412 259 81 2 2 NUM cana-2412 259 82 3 3 NUM cana-2412 259 83 4 4 NUM cana-2412 259 84 5 5 NUM cana-2412 259 85 6 6 NUM cana-2412 259 86 -0.12 -0.12 NUM cana-2412 259 87 -0.1 -0.1 PROPN cana-2412 259 88 -0.08 -0.08 NUM cana-2412 259 89 -0.06 -0.06 NUM cana-2412 259 90 -0.04 -0.04 NUM cana-2412 259 91 -0.02 -0.02 NUM cana-2412 259 92 0 0 NUM cana-2412 259 93 0.02 0.02 NUM cana-2412 259 94 0.04 0.04 NUM cana-2412 259 95   NUM cana-2412 259 96   NOUN cana-2412 259 97 ( ( PUNCT cana-2412 259 98   NUM cana-2412 259 99 ) ) PUNCT cana-2412 259 100   X cana-2412 259 101 = = X cana-2412 259 102 0 0 NUM cana-2412 259 103 , , PUNCT cana-2412 259 104 0.2 0.2 NUM cana-2412 259 105 , , PUNCT cana-2412 259 106 0.4 0.4 NUM cana-2412 259 107 , , PUNCT cana-2412 259 108 1 1 NUM cana-2412 259 109 , , PUNCT cana-2412 259 110 1.2 1.2 NUM cana-2412 259 111 fig fig NOUN cana-2412 259 112 . . PUNCT cana-2412 260 1 14(c 14(c NUM cana-2412 260 2 ) ) PUNCT cana-2412 260 3 0 0 NUM cana-2412 260 4 1 1 NUM cana-2412 260 5 2 2 NUM cana-2412 260 6 3 3 NUM cana-2412 260 7 4 4 NUM cana-2412 260 8 5 5 NUM cana-2412 260 9 6 6 NUM cana-2412 260 10 0 0 NUM cana-2412 260 11 0.05 0.05 NUM cana-2412 260 12 0.1 0.1 NUM cana-2412 260 13 0.15 0.15 NUM cana-2412 260 14 0.2 0.2 NUM cana-2412 260 15 0.25 0.25 NUM cana-2412 260 16 0.3 0.3 NUM cana-2412 260 17 0.35 0.35 NUM cana-2412 260 18 0.4 0.4 NUM cana-2412 260 19 0.45 0.45 NUM cana-2412 260 20 0.5 0.5 NUM cana-2412 260 21   NUM cana-2412 260 22   X cana-2412 260 23 ( ( PUNCT cana-2412 260 24   NUM cana-2412 260 25 ) ) PUNCT cana-2412 260 26 bi bi NOUN cana-2412 260 27 = = NOUN cana-2412 260 28 0.1 0.1 NUM cana-2412 260 29 , , PUNCT cana-2412 260 30 0.3 0.3 NUM cana-2412 260 31 , , PUNCT cana-2412 260 32 0.5 0.5 NUM cana-2412 260 33 , , PUNCT cana-2412 260 34 0.7 0.7 NUM cana-2412 260 35 fig fig NOUN cana-2412 260 36 . . PUNCT cana-2412 261 1 15(a 15(a NUM cana-2412 261 2 ) ) PUNCT cana-2412 261 3 0 0 NUM cana-2412 261 4 1 1 NUM cana-2412 261 5 2 2 NUM cana-2412 261 6 3 3 NUM cana-2412 261 7 4 4 NUM cana-2412 261 8 5 5 NUM cana-2412 261 9 6 6 NUM cana-2412 261 10 -0.1 -0.1 NUM cana-2412 261 11 -0.08 -0.08 NUM cana-2412 261 12 -0.06 -0.06 NUM cana-2412 261 13 -0.04 -0.04 NUM cana-2412 261 14 -0.02 -0.02 NUM cana-2412 261 15 0 0 NUM cana-2412 261 16 0.02 0.02 NUM cana-2412 261 17   NUM cana-2412 261 18   NOUN cana-2412 261 19 ( ( PUNCT cana-2412 261 20   NUM cana-2412 261 21 ) ) PUNCT cana-2412 261 22 bi bi NOUN cana-2412 261 23 = = NOUN cana-2412 261 24 0.1 0.1 NUM cana-2412 261 25 , , PUNCT cana-2412 261 26 0.3 0.3 NUM cana-2412 261 27 , , PUNCT cana-2412 261 28 0.5 0.5 NUM cana-2412 261 29 , , PUNCT cana-2412 261 30 0.7 0.7 NUM cana-2412 261 31 fig fig NOUN cana-2412 261 32 . . PUNCT cana-2412 262 1 15(b 15(b NUM cana-2412 262 2 ) ) PUNCT cana-2412 262 3 communications communication NOUN cana-2412 262 4 on on ADP cana-2412 262 5 applied apply VERB cana-2412 262 6 nonlinear nonlinear ADJ cana-2412 262 7 analysis analysis NOUN cana-2412 262 8 issn issn NOUN cana-2412 262 9 : : PUNCT cana-2412 262 10 1074 1074 NUM cana-2412 262 11 - - PUNCT cana-2412 262 12 133x 133x NUM cana-2412 262 13 vol vol NOUN cana-2412 262 14 32 32 NUM cana-2412 262 15 no no NOUN cana-2412 262 16 . . PUNCT cana-2412 263 1 2s 2s NUM cana-2412 263 2 ( ( PUNCT cana-2412 263 3 2025 2025 NUM cana-2412 263 4 ) ) PUNCT cana-2412 263 5 401 401 NUM cana-2412 263 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 263 7 clearly clearly ADV cana-2412 263 8 explaining explain VERB cana-2412 263 9 that that SCONJ cana-2412 263 10 sherwood sherwood PROPN cana-2412 263 11 number number NOUN cana-2412 263 12 diminishes diminish VERB cana-2412 263 13 with with ADP cana-2412 263 14 both both CCONJ cana-2412 263 15 the the DET cana-2412 263 16 enhanced enhanced ADJ cana-2412 263 17 values value NOUN cana-2412 263 18 of of ADP cana-2412 263 19 𝑁𝑏 𝑁𝑏 PROPN cana-2412 263 20 and and CCONJ cana-2412 263 21 𝑆𝑐. 𝑆𝑐. PROPN cana-2412 263 22 it it PRON cana-2412 263 23 is be AUX cana-2412 263 24 also also ADV cana-2412 263 25 observed observe VERB cana-2412 263 26 that that SCONJ cana-2412 263 27 sherwood sherwood PROPN cana-2412 263 28 number number NOUN cana-2412 263 29 increases increase VERB cana-2412 263 30 rapidly rapidly ADV cana-2412 263 31 for for ADP cana-2412 263 32 larger large ADJ cana-2412 263 33 values value NOUN cana-2412 263 34 of of ADP cana-2412 263 35 𝑁𝑑. 𝑁𝑑. PROPN cana-2412 263 36 fig fig NOUN cana-2412 263 37 . . PUNCT cana-2412 264 1 16 16 NUM cana-2412 264 2 . . PUNCT cana-2412 265 1 effect effect NOUN cana-2412 265 2 of of ADP cana-2412 265 3 𝑀 𝑀 PROPN cana-2412 265 4 , , PUNCT cana-2412 265 5 𝛾 𝛾 PROPN cana-2412 265 6 and and CCONJ cana-2412 265 7 𝛽 𝛽 NOUN cana-2412 265 8 on on ADP cana-2412 265 9 skin skin NOUN cana-2412 265 10 friction friction NOUN cana-2412 265 11 coefficient coefficient NOUN cana-2412 265 12 fig fig NOUN cana-2412 265 13 . . PUNCT cana-2412 266 1 17 17 NUM cana-2412 266 2 . . PUNCT cana-2412 267 1 effect effect NOUN cana-2412 267 2 of of ADP cana-2412 267 3 𝑅 𝑅 PROPN cana-2412 267 4 , , PUNCT cana-2412 267 5 𝑄 𝑄 PROPN cana-2412 267 6 and and CCONJ cana-2412 267 7 𝐸𝑐 𝐸𝑐 PROPN cana-2412 267 8 on on ADP cana-2412 267 9 heat heat NOUN cana-2412 267 10 transfer transfer NOUN cana-2412 267 11 rate rate NOUN cana-2412 267 12 fig fig NOUN cana-2412 267 13 . . PUNCT cana-2412 268 1 18 18 NUM cana-2412 268 2 . . PUNCT cana-2412 268 3 effect effect NOUN cana-2412 268 4 of of ADP cana-2412 268 5 𝑁𝑏 𝑁𝑏 PROPN cana-2412 268 6 , , PUNCT cana-2412 268 7 𝑆𝑐 𝑆𝑐 PROPN cana-2412 268 8 and and CCONJ cana-2412 268 9 𝑁𝑑 𝑁𝑑 PROPN cana-2412 268 10 on on ADP cana-2412 268 11 mass mass ADJ cana-2412 268 12 transfer transfer NOUN cana-2412 268 13 rate rate NOUN cana-2412 268 14 5 5 NUM cana-2412 268 15 . . PUNCT cana-2412 269 1 conclusions conclusion NOUN cana-2412 269 2 the the DET cana-2412 269 3 present present ADJ cana-2412 269 4 study study NOUN cana-2412 269 5 talks talk NOUN cana-2412 269 6 about about ADP cana-2412 269 7 the the DET cana-2412 269 8 analysis analysis NOUN cana-2412 269 9 of of ADP cana-2412 269 10 viscous viscous ADJ cana-2412 269 11 dissipation dissipation NOUN cana-2412 269 12 and and CCONJ cana-2412 269 13 radiation radiation NOUN cana-2412 269 14 effects effect NOUN cana-2412 269 15 on on ADP cana-2412 269 16 mhd mhd NOUN cana-2412 269 17 heat heat NOUN cana-2412 269 18 transfer transfer NOUN cana-2412 269 19 flow flow NOUN cana-2412 269 20 of of ADP cana-2412 269 21 casson casson PROPN cana-2412 269 22 nanofluid nanofluid PROPN cana-2412 269 23 through through ADP cana-2412 269 24 a a DET cana-2412 269 25 moving move VERB cana-2412 269 26 wedge wedge NOUN cana-2412 269 27 by by ADP cana-2412 269 28 incorporating incorporate VERB cana-2412 269 29 the the DET cana-2412 269 30 effects effect NOUN cana-2412 269 31 of of ADP cana-2412 269 32 brownian brownian ADJ cana-2412 269 33 and and CCONJ cana-2412 269 34 thermophoresis thermophoresis NOUN cana-2412 269 35 under under ADP cana-2412 269 36 the the DET cana-2412 269 37 convective convective ADJ cana-2412 269 38 boundary boundary ADJ cana-2412 269 39 condition condition NOUN cana-2412 269 40 and and CCONJ cana-2412 269 41 internal internal ADJ cana-2412 269 42 heat heat NOUN cana-2412 269 43 absorption absorption NOUN cana-2412 269 44 / / SYM cana-2412 269 45 generation generation NOUN cana-2412 269 46 . . PUNCT cana-2412 270 1 governing govern VERB cana-2412 270 2 non non ADJ cana-2412 270 3 - - ADJ cana-2412 270 4 linear linear ADJ cana-2412 270 5 partial partial ADJ cana-2412 270 6 differential differential NOUN cana-2412 270 7 equations equation NOUN cana-2412 270 8 are be AUX cana-2412 270 9 turned turn VERB cana-2412 270 10 into into ADP cana-2412 270 11 non non ADJ cana-2412 270 12 - - ADJ cana-2412 270 13 linear linear ADJ cana-2412 270 14 ordinary ordinary ADJ cana-2412 270 15 differential differential ADJ cana-2412 270 16 equations equation NOUN cana-2412 270 17 by by ADP cana-2412 270 18 using use VERB cana-2412 270 19 appropriate appropriate ADJ cana-2412 270 20 similarity similarity NOUN cana-2412 270 21 transformations transformation NOUN cana-2412 270 22 . . PUNCT cana-2412 271 1 the the DET cana-2412 271 2 following follow VERB cana-2412 271 3 specific specific ADJ cana-2412 271 4 conclusions conclusion NOUN cana-2412 271 5 have have AUX cana-2412 271 6 been be AUX cana-2412 271 7 drawn draw VERB cana-2412 271 8 from from ADP cana-2412 271 9 above above ADP cana-2412 271 10 established establish VERB cana-2412 271 11 results result NOUN cana-2412 271 12 . . PUNCT cana-2412 272 1 β€’ β€’ NOUN cana-2412 272 2 the the DET cana-2412 272 3 results result NOUN cana-2412 272 4 are be AUX cana-2412 272 5 confirmed confirm VERB cana-2412 272 6 with with ADP cana-2412 272 7 n. n. PROPN cana-2412 272 8 amar amar PROPN cana-2412 272 9 et et PROPN cana-2412 272 10 al al PROPN cana-2412 272 11 , , PUNCT cana-2412 272 12 ahmad ahmad PROPN cana-2412 272 13 et et PROPN cana-2412 272 14 al al PROPN cana-2412 272 15 , , PUNCT cana-2412 272 16 ullah ullah PROPN cana-2412 272 17 et et PROPN cana-2412 272 18 al al PROPN cana-2412 272 19 , , PUNCT cana-2412 272 20 kuo kuo PROPN cana-2412 272 21 in in ADP cana-2412 272 22 good good ADJ cana-2412 272 23 agreement agreement NOUN cana-2412 272 24 . . PUNCT cana-2412 273 1 β€’ β€’ NUM cana-2412 273 2 the the DET cana-2412 273 3 effect effect NOUN cana-2412 273 4 of of ADP cana-2412 273 5 casson casson PROPN cana-2412 273 6 fluid fluid PROPN cana-2412 273 7 parameter parameter NOUN cana-2412 273 8 𝛾 𝛾 NOUN cana-2412 273 9 , , PUNCT cana-2412 273 10 wedge wedge NOUN cana-2412 273 11 parameter parameter NOUN cana-2412 273 12 𝛽 𝛽 NOUN cana-2412 273 13 enhances enhance VERB cana-2412 273 14 the the DET cana-2412 273 15 velocity velocity NOUN cana-2412 273 16 profile profile NOUN cana-2412 273 17 whereas whereas SCONJ cana-2412 273 18 magnetic magnetic ADJ cana-2412 273 19 field field NOUN cana-2412 273 20 parameter parameter NOUN cana-2412 273 21 𝑀 𝑀 PROPN cana-2412 273 22 reduces reduce VERB cana-2412 273 23 the the DET cana-2412 273 24 velocity velocity NOUN cana-2412 273 25 profile profile NOUN cana-2412 273 26 . . PUNCT cana-2412 274 1 β€’ β€’ ADP cana-2412 274 2 both both CCONJ cana-2412 274 3 the the DET cana-2412 274 4 velocity velocity NOUN cana-2412 274 5 ratio ratio NOUN cana-2412 274 6 parameter parameter NOUN cana-2412 274 7 πœ† πœ† PROPN cana-2412 275 1 and and CCONJ cana-2412 275 2 the the DET cana-2412 275 3 suction suction NOUN cana-2412 275 4 parameter parameter NOUN cana-2412 275 5 𝑠 𝑠 PROPN cana-2412 275 6 augments augment VERB cana-2412 275 7 the the DET cana-2412 275 8 velocity velocity NOUN cana-2412 275 9 profile profile NOUN cana-2412 275 10 but but CCONJ cana-2412 275 11 these these DET cana-2412 275 12 two two NUM cana-2412 275 13 parameters parameter NOUN cana-2412 275 14 show show VERB cana-2412 275 15 the the DET cana-2412 275 16 differing differ VERB cana-2412 275 17 effect effect NOUN cana-2412 275 18 on on ADP cana-2412 275 19 temperature temperature NOUN cana-2412 275 20 profile profile NOUN cana-2412 275 21 . . PUNCT cana-2412 276 1 communications communication NOUN cana-2412 276 2 on on ADP cana-2412 276 3 applied apply VERB cana-2412 276 4 nonlinear nonlinear ADJ cana-2412 276 5 analysis analysis NOUN cana-2412 276 6 issn issn NOUN cana-2412 276 7 : : PUNCT cana-2412 276 8 1074 1074 NUM cana-2412 276 9 - - PUNCT cana-2412 276 10 133x 133x NUM cana-2412 276 11 vol vol NOUN cana-2412 276 12 32 32 NUM cana-2412 276 13 no no NOUN cana-2412 276 14 . . PUNCT cana-2412 277 1 2s 2s NUM cana-2412 277 2 ( ( PUNCT cana-2412 277 3 2025 2025 NUM cana-2412 277 4 ) ) PUNCT cana-2412 277 5 402 402 NUM cana-2412 277 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 277 7 β€’ β€’ NOUN cana-2412 277 8 temperature temperature NOUN cana-2412 277 9 distribution distribution NOUN cana-2412 277 10 increases increase VERB cana-2412 277 11 with with ADP cana-2412 277 12 increase increase NOUN cana-2412 277 13 of of ADP cana-2412 277 14 thermal thermal ADJ cana-2412 277 15 radiation radiation NOUN cana-2412 277 16 𝑅 𝑅 PROPN cana-2412 277 17 , , PUNCT cana-2412 277 18 wedge wedge NOUN cana-2412 277 19 parameter parameter NOUN cana-2412 277 20 𝛽 𝛽 PROPN cana-2412 277 21 and and CCONJ cana-2412 277 22 internal internal ADJ cana-2412 277 23 heat heat NOUN cana-2412 277 24 absorption absorption NOUN cana-2412 277 25 𝑄 𝑄 PROPN cana-2412 277 26 and and CCONJ cana-2412 277 27 decreases decrease VERB cana-2412 277 28 with with ADP cana-2412 277 29 increase increase NOUN cana-2412 277 30 of of ADP cana-2412 277 31 prandtle prandtle ADJ cana-2412 277 32 number number NOUN cana-2412 277 33 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-2412 277 34 and and CCONJ cana-2412 277 35 schmidge schmidge NOUN cana-2412 277 36 number number NOUN cana-2412 277 37 𝑆𝑐. 𝑆𝑐. PROPN cana-2412 277 38 β€’ β€’ ADP cana-2412 277 39 the the DET cana-2412 277 40 nanoparticle nanoparticle NOUN cana-2412 277 41 profile profile NOUN cana-2412 277 42 decreases decrease VERB cana-2412 277 43 with with ADP cana-2412 277 44 increase increase NOUN cana-2412 277 45 of of ADP cana-2412 277 46 brownian brownian ADJ cana-2412 277 47 motion motion NOUN cana-2412 277 48 𝑁𝑏 𝑁𝑏 PROPN cana-2412 277 49 , , PUNCT cana-2412 277 50 schmidge schmidge ADJ cana-2412 277 51 number number NOUN cana-2412 277 52 𝑆𝑐 𝑆𝑐 PROPN cana-2412 277 53 and and CCONJ cana-2412 277 54 chemical chemical NOUN cana-2412 277 55 reaction reaction NOUN cana-2412 277 56 parameter parameter PROPN cana-2412 277 57 Ξ³ Ξ³ NOUN cana-2412 277 58 where where SCONJ cana-2412 277 59 as as SCONJ cana-2412 277 60 it it PRON cana-2412 277 61 increase increase VERB cana-2412 277 62 with with ADP cana-2412 277 63 increase increase NOUN cana-2412 277 64 of of ADP cana-2412 277 65 thermophoresis thermophoresis NOUN cana-2412 277 66 𝑁𝑑. 𝑁𝑑. PROPN cana-2412 277 67 β€’ β€’ ADP cana-2412 277 68 the the DET cana-2412 277 69 skin skin NOUN cana-2412 277 70 - - PUNCT cana-2412 277 71 friction friction NOUN cana-2412 277 72 coefficient coefficient NOUN cana-2412 277 73 values value NOUN cana-2412 277 74 increase increase VERB cana-2412 277 75 with with ADP cana-2412 277 76 all all DET cana-2412 277 77 the the DET cana-2412 277 78 increase increase NOUN cana-2412 277 79 of of ADP cana-2412 277 80 𝑀 𝑀 PROPN cana-2412 277 81 , , PUNCT cana-2412 277 82 𝛾 𝛾 NOUN cana-2412 277 83 and and CCONJ cana-2412 277 84 𝛽. 𝛽. VERB cana-2412 277 85 β€’ β€’ NUM cana-2412 278 1 the the DET cana-2412 278 2 rate rate NOUN cana-2412 278 3 of of ADP cana-2412 278 4 heat heat NOUN cana-2412 278 5 transfer transfer NOUN cana-2412 278 6 increases increase NOUN cana-2412 278 7 with with ADP cana-2412 278 8 both both CCONJ cana-2412 278 9 the the DET cana-2412 278 10 increased increase VERB cana-2412 278 11 values value NOUN cana-2412 278 12 of of ADP cana-2412 278 13 𝑄 𝑄 PROPN cana-2412 278 14 and and CCONJ cana-2412 278 15 𝑅. 𝑅. NOUN cana-2412 278 16 β€’ β€’ NOUN cana-2412 278 17 sherwood sherwood NOUN cana-2412 278 18 number number NOUN cana-2412 278 19 diminishes diminish VERB cana-2412 278 20 with with ADP cana-2412 278 21 both both CCONJ cana-2412 278 22 the the DET cana-2412 278 23 enhanced enhanced ADJ cana-2412 278 24 values value NOUN cana-2412 278 25 of of ADP cana-2412 278 26 𝑁𝑏 𝑁𝑏 PROPN cana-2412 278 27 and and CCONJ cana-2412 278 28 𝑆𝑐 𝑆𝑐 PROPN cana-2412 278 29 and and CCONJ cana-2412 278 30 increases increase VERB cana-2412 278 31 rapidly rapidly ADV cana-2412 278 32 for for ADP cana-2412 278 33 larger large ADJ cana-2412 278 34 values value NOUN cana-2412 278 35 of of ADP cana-2412 278 36 𝑁𝑑. 𝑁𝑑. PROPN cana-2412 278 37 references reference NOUN cana-2412 278 38 [ [ X cana-2412 278 39 1 1 NUM cana-2412 278 40 ] ] PUNCT cana-2412 278 41 m. m. NOUN cana-2412 278 42 a. a. PROPN cana-2412 278 43 kumar kumar PROPN cana-2412 278 44 , , PUNCT cana-2412 278 45 y. y. PROPN cana-2412 278 46 d. d. PROPN cana-2412 278 47 reddy reddy PROPN cana-2412 278 48 , , PUNCT cana-2412 278 49 v. v. PROPN cana-2412 278 50 s. s. PROPN cana-2412 278 51 rao rao PROPN cana-2412 278 52 , , PUNCT cana-2412 278 53 and and CCONJ cana-2412 278 54 b. b. PROPN cana-2412 278 55 s. s. PROPN cana-2412 278 56 goud goud PROPN cana-2412 278 57 , , PUNCT cana-2412 278 58 case case NOUN cana-2412 278 59 studies study NOUN cana-2412 278 60 in in ADP cana-2412 278 61 thermal thermal ADJ cana-2412 278 62 engineering engineering NOUN cana-2412 278 63 24 24 NUM cana-2412 278 64 , , PUNCT cana-2412 278 65 100826 100826 NUM cana-2412 278 66 ( ( PUNCT cana-2412 278 67 2021 2021 NUM cana-2412 278 68 ) ) PUNCT cana-2412 278 69 . . PUNCT cana-2412 279 1 [ [ X cana-2412 279 2 2 2 X cana-2412 279 3 ] ] X cana-2412 279 4 o. o. PROPN cana-2412 279 5 d. d. PROPN cana-2412 279 6 makinde makinde PROPN cana-2412 279 7 , , PUNCT cana-2412 279 8 a. a. PROPN cana-2412 279 9 aziz aziz PROPN cana-2412 279 10 , , PUNCT cana-2412 279 11 international international ADJ cana-2412 279 12 journal journal NOUN cana-2412 279 13 of of ADP cana-2412 279 14 therm therm PROPN cana-2412 279 15 . . PUNCT cana-2412 280 1 sci sci PROPN cana-2412 280 2 . . PROPN cana-2412 281 1 50 50 NUM cana-2412 281 2 , , PUNCT cana-2412 281 3 1326 1326 NUM cana-2412 281 4 ( ( PUNCT cana-2412 281 5 2011 2011 NUM cana-2412 281 6 ) ) PUNCT cana-2412 281 7 . . PUNCT cana-2412 282 1 [ [ X cana-2412 282 2 3 3 X cana-2412 282 3 ] ] PUNCT cana-2412 282 4 s. s. PROPN cana-2412 282 5 nadeem nadeem PROPN cana-2412 282 6 , , PUNCT cana-2412 282 7 r. r. PROPN cana-2412 282 8 u. u. PROPN cana-2412 282 9 haq haq PROPN cana-2412 282 10 , , PUNCT cana-2412 282 11 and and CCONJ cana-2412 282 12 c. c. PROPN cana-2412 282 13 lee lee PROPN cana-2412 282 14 , , PUNCT cana-2412 282 15 scientia scientia PROPN cana-2412 282 16 iranica iranica PROPN cana-2412 282 17 19 19 NUM cana-2412 282 18 , , PUNCT cana-2412 282 19 1550 1550 NUM cana-2412 282 20 ( ( PUNCT cana-2412 282 21 2012 2012 NUM cana-2412 282 22 ) ) PUNCT cana-2412 282 23 . . PUNCT cana-2412 283 1 [ [ X cana-2412 283 2 4 4 X cana-2412 283 3 ] ] PUNCT cana-2412 283 4 m. m. NOUN cana-2412 283 5 g. g. PROPN cana-2412 283 6 reddy reddy PROPN cana-2412 283 7 , , PUNCT cana-2412 283 8 j. j. PROPN cana-2412 283 9 sci sci PROPN cana-2412 283 10 . . PUNCT cana-2412 284 1 res re NOUN cana-2412 284 2 . . PROPN cana-2412 285 1 6 6 NUM cana-2412 285 2 , , PUNCT cana-2412 285 3 257 257 NUM cana-2412 285 4 ( ( PUNCT cana-2412 285 5 2014 2014 NUM cana-2412 285 6 ) ) PUNCT cana-2412 285 7 . . PUNCT cana-2412 286 1 [ [ X cana-2412 286 2 5 5 X cana-2412 286 3 ] ] PUNCT cana-2412 286 4 b. b. PROPN cana-2412 286 5 s. s. PROPN cana-2412 286 6 goud goud PROPN cana-2412 286 7 , , PUNCT cana-2412 286 8 y. y. PROPN cana-2412 286 9 d. d. PROPN cana-2412 286 10 reddy reddy PROPN cana-2412 286 11 , , PUNCT cana-2412 286 12 v. v. PROPN cana-2412 286 13 s. s. PROPN cana-2412 286 14 rao rao PROPN cana-2412 286 15 , , PUNCT cana-2412 286 16 and and CCONJ cana-2412 286 17 z. z. PROPN cana-2412 286 18 hayat hayat PROPN cana-2412 286 19 khan khan PROPN cana-2412 286 20 , , PUNCT cana-2412 286 21 journal journal NOUN cana-2412 286 22 of of ADP cana-2412 286 23 naval naval ADJ cana-2412 286 24 architecture architecture NOUN cana-2412 286 25 and and CCONJ cana-2412 286 26 marine marine ADJ cana-2412 286 27 engineering engineering NOUN cana-2412 286 28 7 7 NUM cana-2412 286 29 , , PUNCT cana-2412 286 30 143 143 NUM cana-2412 286 31 ( ( PUNCT cana-2412 286 32 2020 2020 NUM cana-2412 286 33 ) ) PUNCT cana-2412 286 34 . . PUNCT cana-2412 287 1 [ [ X cana-2412 287 2 6 6 NUM cana-2412 287 3 ] ] PUNCT cana-2412 287 4 b. b. PROPN cana-2412 287 5 s. s. PROPN cana-2412 287 6 goud goud PROPN cana-2412 287 7 , , PUNCT cana-2412 287 8 z. z. PROPN cana-2412 287 9 h. h. PROPN cana-2412 287 10 khan khan PROPN cana-2412 287 11 , , PUNCT cana-2412 287 12 and and CCONJ cana-2412 287 13 m. m. PROPN cana-2412 287 14 hamid hamid PROPN cana-2412 287 15 , , PUNCT cana-2412 287 16 heat heat NOUN cana-2412 287 17 transfer transfer NOUN cana-2412 287 18 50 50 NUM cana-2412 287 19 , , PUNCT cana-2412 287 20 6129 6129 NUM cana-2412 287 21 ( ( PUNCT cana-2412 287 22 2021 2021 NUM cana-2412 287 23 ) ) PUNCT cana-2412 287 24 . . PUNCT cana-2412 288 1 [ [ X cana-2412 288 2 7 7 X cana-2412 288 3 ] ] X cana-2412 288 4 b. b. PROPN cana-2412 288 5 s. s. PROPN cana-2412 288 6 goud goud PROPN cana-2412 288 7 , , PUNCT cana-2412 288 8 p. p. PROPN cana-2412 288 9 p. p. PROPN cana-2412 289 1 kumar kumar PROPN cana-2412 289 2 , , PUNCT cana-2412 289 3 and and CCONJ cana-2412 289 4 b. b. PROPN cana-2412 289 5 s. s. PROPN cana-2412 289 6 malga malga PROPN cana-2412 289 7 , , PUNCT cana-2412 289 8 partial partial ADJ cana-2412 289 9 differential differential ADJ cana-2412 289 10 equations equation NOUN cana-2412 289 11 in in ADP cana-2412 289 12 applied apply VERB cana-2412 289 13 mathematics mathematic NOUN cana-2412 289 14 2 2 NUM cana-2412 289 15 , , PUNCT cana-2412 289 16 100015 100015 NUM cana-2412 289 17 ( ( PUNCT cana-2412 289 18 2020 2020 NUM cana-2412 289 19 ) ) PUNCT cana-2412 289 20 . . PUNCT cana-2412 290 1 [ [ X cana-2412 290 2 8 8 X cana-2412 290 3 ] ] PUNCT cana-2412 290 4 s. s. PROPN cana-2412 290 5 nadeem nadeem PROPN cana-2412 290 6 , , PUNCT cana-2412 290 7 r.u r.u PROPN cana-2412 290 8 . . PROPN cana-2412 290 9 haq haq PROPN cana-2412 290 10 , , PUNCT cana-2412 290 11 c. c. PROPN cana-2412 290 12 lee lee PROPN cana-2412 290 13 , , PUNCT cana-2412 290 14 sci sci PROPN cana-2412 290 15 . . PROPN cana-2412 290 16 iranica iranica PROPN cana-2412 290 17 b b PROPN cana-2412 290 18 19 19 NUM cana-2412 290 19 , , PUNCT cana-2412 290 20 1550 1550 NUM cana-2412 290 21 ( ( PUNCT cana-2412 290 22 2012 2012 NUM cana-2412 290 23 ) ) PUNCT cana-2412 290 24 . . PUNCT cana-2412 291 1 [ [ X cana-2412 291 2 9 9 X cana-2412 291 3 ] ] PUNCT cana-2412 291 4 t. t. PROPN cana-2412 291 5 hayat hayat PROPN cana-2412 291 6 , , PUNCT cana-2412 291 7 s.a s.a PROPN cana-2412 291 8 . . PROPN cana-2412 291 9 shehzad shehzad PROPN cana-2412 291 10 , , PUNCT cana-2412 291 11 a. a. PROPN cana-2412 291 12 alsaedi alsaedi PROPN cana-2412 291 13 , , PUNCT cana-2412 291 14 appl appl PROPN cana-2412 291 15 . . PROPN cana-2412 291 16 math math PROPN cana-2412 291 17 . . PUNCT cana-2412 292 1 mech mech PROPN cana-2412 292 2 . . PUNCT cana-2412 293 1 33 33 NUM cana-2412 293 2 , , PUNCT cana-2412 293 3 1301 1301 NUM cana-2412 293 4 ( ( PUNCT cana-2412 293 5 2012 2012 NUM cana-2412 293 6 ) ) PUNCT cana-2412 293 7 . . PUNCT cana-2412 294 1 [ [ X cana-2412 294 2 10 10 NUM cana-2412 294 3 ] ] PUNCT cana-2412 294 4 k. k. PROPN cana-2412 294 5 bhattacharyyaa bhattacharyyaa PROPN cana-2412 294 6 , , PUNCT cana-2412 294 7 t. t. PROPN cana-2412 294 8 hayat hayat PROPN cana-2412 294 9 , , PUNCT cana-2412 294 10 a. a. PROPN cana-2412 294 11 alsaedic alsaedic PROPN cana-2412 294 12 , , PUNCT cana-2412 294 13 chin chin NOUN cana-2412 294 14 . . PUNCT cana-2412 295 1 phys phys PROPN cana-2412 295 2 . . PUNCT cana-2412 296 1 b b X cana-2412 296 2 22 22 NUM cana-2412 296 3 , , PUNCT cana-2412 296 4 024702 024702 NUM cana-2412 296 5 ( ( PUNCT cana-2412 296 6 2013 2013 NUM cana-2412 296 7 ) ) PUNCT cana-2412 296 8 . . PUNCT cana-2412 297 1 [ [ X cana-2412 297 2 11 11 NUM cana-2412 297 3 ] ] PUNCT cana-2412 297 4 s. s. PROPN cana-2412 297 5 mukhopadhyay mukhopadhyay PROPN cana-2412 297 6 , , PUNCT cana-2412 297 7 i. i. PROPN cana-2412 297 8 chandra chandra PROPN cana-2412 297 9 mondal mondal PROPN cana-2412 297 10 , , PUNCT cana-2412 297 11 a.j a.j PROPN cana-2412 297 12 . . PROPN cana-2412 297 13 chamkha chamkha PROPN cana-2412 297 14 , , PUNCT cana-2412 297 15 heat heat NOUN cana-2412 297 16 transfer transfer NOUN cana-2412 297 17 asian asian ADJ cana-2412 297 18 res re NOUN cana-2412 297 19 . . PUNCT cana-2412 298 1 42 42 NUM cana-2412 298 2 , , PUNCT cana-2412 298 3 665 665 NUM cana-2412 298 4 ( ( PUNCT cana-2412 298 5 2013 2013 NUM cana-2412 298 6 ) ) PUNCT cana-2412 298 7 . . PUNCT cana-2412 299 1 [ [ X cana-2412 299 2 12 12 NUM cana-2412 299 3 ] ] X cana-2412 299 4 s. s. PROPN cana-2412 299 5 nadeem nadeem PROPN cana-2412 299 6 , , PUNCT cana-2412 299 7 r.u r.u PROPN cana-2412 299 8 . . PROPN cana-2412 299 9 haq haq PROPN cana-2412 299 10 , , PUNCT cana-2412 299 11 n.s n.s PROPN cana-2412 299 12 . . PROPN cana-2412 299 13 akbar akbar PROPN cana-2412 299 14 , , PUNCT cana-2412 299 15 nonotechnology nonotechnology NOUN cana-2412 299 16 13 13 NUM cana-2412 299 17 , , PUNCT cana-2412 299 18 109 109 NUM cana-2412 299 19 ( ( PUNCT cana-2412 299 20 2014 2014 NUM cana-2412 299 21 ) ) PUNCT cana-2412 299 22 . . PUNCT cana-2412 300 1 [ [ X cana-2412 300 2 13 13 NUM cana-2412 300 3 ] ] X cana-2412 300 4 r.u r.u PROPN cana-2412 300 5 . . PROPN cana-2412 300 6 haq haq PROPN cana-2412 300 7 , , PUNCT cana-2412 300 8 s. s. PROPN cana-2412 300 9 nadeem nadeem PROPN cana-2412 300 10 , , PUNCT cana-2412 300 11 z.h z.h PROPN cana-2412 300 12 . . PROPN cana-2412 300 13 khan khan PROPN cana-2412 300 14 , , PUNCT cana-2412 300 15 t.g t.g PROPN cana-2412 300 16 . . PROPN cana-2412 300 17 okedayo okedayo PROPN cana-2412 300 18 , , PUNCT cana-2412 300 19 cent cent NOUN cana-2412 300 20 . . PUNCT cana-2412 301 1 eur eur PROPN cana-2412 301 2 . . PUNCT cana-2412 302 1 j. j. PROPN cana-2412 302 2 phys phys PROPN cana-2412 302 3 . . PUNCT cana-2412 303 1 12 12 NUM cana-2412 303 2 , , PUNCT cana-2412 303 3 862 862 NUM cana-2412 303 4 ( ( PUNCT cana-2412 303 5 2014 2014 NUM cana-2412 303 6 ) ) PUNCT cana-2412 303 7 . . PUNCT cana-2412 304 1 [ [ X cana-2412 304 2 14 14 NUM cana-2412 304 3 ] ] PUNCT cana-2412 304 4 a. a. NOUN cana-2412 304 5 postelnicu postelnicu PROPN cana-2412 304 6 , , PUNCT cana-2412 304 7 i. i. PROPN cana-2412 304 8 pop pop PROPN cana-2412 304 9 , , PUNCT cana-2412 304 10 appl appl PROPN cana-2412 304 11 . . PROPN cana-2412 304 12 math math NOUN cana-2412 304 13 . . PUNCT cana-2412 305 1 comput comput NOUN cana-2412 305 2 . . PUNCT cana-2412 306 1 217 217 NUM cana-2412 306 2 , , PUNCT cana-2412 306 3 4359 4359 NUM cana-2412 306 4 ( ( PUNCT cana-2412 306 5 2011 2011 NUM cana-2412 306 6 ) ) PUNCT cana-2412 306 7 . . PUNCT cana-2412 307 1 [ [ X cana-2412 307 2 15 15 NUM cana-2412 307 3 ] ] X cana-2412 307 4 n.g n.g PROPN cana-2412 307 5 . . PROPN cana-2412 307 6 kafoussias kafoussias PROPN cana-2412 307 7 , , PUNCT cana-2412 307 8 n.d n.d PROPN cana-2412 307 9 . . PROPN cana-2412 307 10 nanousis nanousis NOUN cana-2412 307 11 , , PUNCT cana-2412 307 12 can can AUX cana-2412 307 13 . . PUNCT cana-2412 308 1 j. j. PROPN cana-2412 308 2 phys phys PROPN cana-2412 308 3 . . PUNCT cana-2412 309 1 75,733 75,733 NUM cana-2412 309 2 ( ( PUNCT cana-2412 309 3 1997 1997 NUM cana-2412 309 4 ) ) PUNCT cana-2412 309 5 . . PUNCT cana-2412 310 1 [ [ X cana-2412 310 2 16 16 NUM cana-2412 310 3 ] ] PUNCT cana-2412 310 4 s. s. PROPN cana-2412 310 5 mukhopadhyay mukhopadhyay PROPN cana-2412 310 6 , , PUNCT cana-2412 310 7 i. i. PROPN cana-2412 310 8 chandra chandra PROPN cana-2412 310 9 mandal mandal PROPN cana-2412 310 10 , , PUNCT cana-2412 310 11 chin chin PROPN cana-2412 310 12 . . PUNCT cana-2412 311 1 phys phys PROPN cana-2412 311 2 . . PUNCT cana-2412 312 1 b b X cana-2412 312 2 23 23 NUM cana-2412 312 3 , , PUNCT cana-2412 312 4 4 4 NUM cana-2412 312 5 ( ( PUNCT cana-2412 312 6 2014 2014 NUM cana-2412 312 7 ) ) PUNCT cana-2412 312 8 . . PUNCT cana-2412 313 1 [ [ X cana-2412 313 2 17 17 NUM cana-2412 313 3 ] ] X cana-2412 313 4 n. n. PROPN cana-2412 313 5 kishan kishan PROPN cana-2412 313 6 , , PUNCT cana-2412 313 7 international international ADJ cana-2412 313 8 journal journal NOUN cana-2412 313 9 of of ADP cana-2412 313 10 mathematics mathematics PROPN cana-2412 313 11 and and CCONJ cana-2412 313 12 computer computer NOUN cana-2412 313 13 applications application NOUN cana-2412 313 14 research research NOUN cana-2412 313 15 , , PUNCT cana-2412 313 16 3 3 NUM cana-2412 313 17 , , PUNCT cana-2412 313 18 15 15 NUM cana-2412 313 19 ( ( PUNCT cana-2412 313 20 2013 2013 NUM cana-2412 313 21 ) ) PUNCT cana-2412 313 22 . . PUNCT cana-2412 314 1 [ [ X cana-2412 314 2 18 18 NUM cana-2412 314 3 ] ] X cana-2412 314 4 n. n. PROPN cana-2412 314 5 kishan kishan PROPN cana-2412 314 6 , , PUNCT cana-2412 314 7 p. p. NOUN cana-2412 314 8 amrutha amrutha PROPN cana-2412 314 9 , , PUNCT cana-2412 314 10 international international ADJ cana-2412 314 11 journal journal NOUN cana-2412 314 12 of of ADP cana-2412 314 13 automotive automotive ADJ cana-2412 314 14 and and CCONJ cana-2412 314 15 mechanical mechanical ADJ cana-2412 314 16 engineering engineering NOUN cana-2412 314 17 14 14 NUM cana-2412 314 18 , , PUNCT cana-2412 314 19 965 965 NUM cana-2412 314 20 ( ( PUNCT cana-2412 314 21 2009 2009 NUM cana-2412 314 22 ) ) PUNCT cana-2412 314 23 . . PUNCT cana-2412 315 1 [ [ X cana-2412 315 2 19 19 NUM cana-2412 315 3 ] ] X cana-2412 315 4 m.a m.a PROPN cana-2412 315 5 . . PROPN cana-2412 315 6 hossain hossain PROPN cana-2412 315 7 , , PUNCT cana-2412 315 8 m.s m.s PROPN cana-2412 315 9 . . PROPN cana-2412 315 10 munir munir PROPN cana-2412 315 11 , , PUNCT cana-2412 315 12 d.a.s d.a.s PROPN cana-2412 315 13 . . PUNCT cana-2412 315 14 rees rees PROPN cana-2412 315 15 , , PUNCT cana-2412 315 16 int int NOUN cana-2412 315 17 . . PUNCT cana-2412 316 1 j. j. PROPN cana-2412 316 2 therm therm PROPN cana-2412 316 3 . . PUNCT cana-2412 317 1 sci sci PROPN cana-2412 317 2 . . PROPN cana-2412 317 3 39 39 NUM cana-2412 317 4 , , PUNCT cana-2412 317 5 635 635 NUM cana-2412 317 6 ( ( PUNCT cana-2412 317 7 2000 2000 NUM cana-2412 317 8 ) ) PUNCT cana-2412 317 9 . . PUNCT cana-2412 318 1 [ [ X cana-2412 318 2 20 20 NUM cana-2412 318 3 ] ] X cana-2412 318 4 a.j a.j PROPN cana-2412 318 5 . . PROPN cana-2412 318 6 chamkha chamkha PROPN cana-2412 318 7 , , PUNCT cana-2412 318 8 m.m m.m PROPN cana-2412 318 9 . . PROPN cana-2412 318 10 quadri quadri PROPN cana-2412 318 11 , , PUNCT cana-2412 318 12 i. i. PROPN cana-2412 318 13 camille camille PROPN cana-2412 318 14 , , PUNCT cana-2412 318 15 heat heat NOUN cana-2412 318 16 mass mass PROPN cana-2412 318 17 transf transf NOUN cana-2412 318 18 . . PUNCT cana-2412 319 1 39 39 NUM cana-2412 319 2 , , PUNCT cana-2412 319 3 305 305 NUM cana-2412 319 4 ( ( PUNCT cana-2412 319 5 2003 2003 NUM cana-2412 319 6 ) ) PUNCT cana-2412 319 7 . . PUNCT cana-2412 320 1 [ [ X cana-2412 320 2 21 21 NUM cana-2412 320 3 ] ] PUNCT cana-2412 320 4 a. a. NOUN cana-2412 320 5 pantokratoras pantokratoras PROPN cana-2412 320 6 , , PUNCT cana-2412 320 7 int int PROPN cana-2412 320 8 . . PUNCT cana-2412 321 1 j. j. PROPN cana-2412 321 2 therm therm PROPN cana-2412 321 3 . . PUNCT cana-2412 322 1 sci sci PROPN cana-2412 322 2 . . PROPN cana-2412 323 1 45 45 NUM cana-2412 323 2 , , PUNCT cana-2412 323 3 378 378 NUM cana-2412 323 4 ( ( PUNCT cana-2412 323 5 2006 2006 NUM cana-2412 323 6 ) ) PUNCT cana-2412 323 7 . . PUNCT cana-2412 324 1 [ [ X cana-2412 324 2 22 22 NUM cana-2412 324 3 ] ] PUNCT cana-2412 324 4 s. s. PROPN cana-2412 324 5 mukhopadhyay mukhopadhyay PROPN cana-2412 324 6 , , PUNCT cana-2412 324 7 j. j. PROPN cana-2412 324 8 appl appl PROPN cana-2412 324 9 . . PUNCT cana-2412 325 1 fluid fluid PROPN cana-2412 325 2 . . PUNCT cana-2412 326 1 mech mech NOUN cana-2412 326 2 . . PUNCT cana-2412 327 1 2 2 NUM cana-2412 327 2 , , PUNCT cana-2412 327 3 29 29 NUM cana-2412 327 4 ( ( PUNCT cana-2412 327 5 2009 2009 NUM cana-2412 327 6 ) ) PUNCT cana-2412 327 7 . . PUNCT cana-2412 328 1 [ [ X cana-2412 328 2 23 23 NUM cana-2412 328 3 ] ] X cana-2412 328 4 d. d. PROPN cana-2412 328 5 pal pal PROPN cana-2412 328 6 , , PUNCT cana-2412 328 7 h. h. PROPN cana-2412 328 8 mondal mondal PROPN cana-2412 328 9 , , PUNCT cana-2412 328 10 appl appl PROPN cana-2412 328 11 . . PROPN cana-2412 328 12 math math PROPN cana-2412 328 13 . . PUNCT cana-2412 329 1 comput comput NOUN cana-2412 329 2 . . PUNCT cana-2412 330 1 212 212 NUM cana-2412 330 2 , , PUNCT cana-2412 330 3 194 194 NUM cana-2412 330 4 ( ( PUNCT cana-2412 330 5 2009 2009 NUM cana-2412 330 6 ) ) PUNCT cana-2412 330 7 . . PUNCT cana-2412 331 1 [ [ X cana-2412 331 2 24 24 NUM cana-2412 331 3 ] ] PUNCT cana-2412 331 4 x. x. NOUN cana-2412 331 5 su su PROPN cana-2412 331 6 , , PUNCT cana-2412 331 7 l. l. PROPN cana-2412 331 8 zheng zheng PROPN cana-2412 331 9 , , PUNCT cana-2412 331 10 x. x. PROPN cana-2412 331 11 zhang zhang PROPN cana-2412 331 12 , , PUNCT cana-2412 331 13 j. j. PROPN cana-2412 331 14 zhang zhang PROPN cana-2412 331 15 , , PUNCT cana-2412 331 16 chem chem PROPN cana-2412 331 17 . . PUNCT cana-2412 332 1 eng eng PROPN cana-2412 332 2 . . PUNCT cana-2412 333 1 sci sci PROPN cana-2412 333 2 . . PROPN cana-2412 334 1 78 78 NUM cana-2412 334 2 , , PUNCT cana-2412 334 3 1 1 NUM cana-2412 334 4 ( ( PUNCT cana-2412 334 5 2012 2012 NUM cana-2412 334 6 ) ) PUNCT cana-2412 334 7 . . PUNCT cana-2412 335 1 [ [ X cana-2412 335 2 25 25 NUM cana-2412 335 3 ] ] PUNCT cana-2412 335 4 m. m. NOUN cana-2412 335 5 a. a. PROPN cana-2412 335 6 hossain hossain PROPN cana-2412 335 7 , , PUNCT cana-2412 335 8 s. s. PROPN cana-2412 335 9 bhowmik bhowmik PROPN cana-2412 335 10 , , PUNCT cana-2412 335 11 and and CCONJ cana-2412 335 12 r. r. PROPN cana-2412 335 13 s. s. PROPN cana-2412 335 14 r. r. PROPN cana-2412 335 15 gorla gorla PROPN cana-2412 335 16 , , PUNCT cana-2412 335 17 int int NOUN cana-2412 335 18 . . PUNCT cana-2412 336 1 j. j. PROPN cana-2412 336 2 eng eng PROPN cana-2412 336 3 . . PUNCT cana-2412 337 1 sci sci PROPN cana-2412 337 2 . . PROPN cana-2412 337 3 44 44 NUM cana-2412 337 4 , , PUNCT cana-2412 337 5 607 607 NUM cana-2412 337 6 ( ( PUNCT cana-2412 337 7 2006 2006 NUM cana-2412 337 8 ) ) PUNCT cana-2412 337 9 . . PUNCT cana-2412 338 1 [ [ X cana-2412 338 2 26 26 NUM cana-2412 338 3 ] ] PUNCT cana-2412 338 4 r. r. PROPN cana-2412 338 5 k. k. PROPN cana-2412 338 6 deka deka PROPN cana-2412 338 7 and and CCONJ cana-2412 338 8 s. s. PROPN cana-2412 338 9 sharma sharma PROPN cana-2412 338 10 , , PUNCT cana-2412 338 11 american american ADJ cana-2412 338 12 journal journal PROPN cana-2412 338 13 of of ADP cana-2412 338 14 computational computational ADJ cana-2412 338 15 and and CCONJ cana-2412 338 16 applied apply VERB cana-2412 338 17 mathematics mathematic NOUN cana-2412 338 18 3 3 NUM cana-2412 338 19 , , PUNCT cana-2412 338 20 74 74 NUM cana-2412 338 21 ( ( PUNCT cana-2412 338 22 2013 2013 NUM cana-2412 338 23 ) ) PUNCT cana-2412 338 24 . . PUNCT cana-2412 339 1 [ [ X cana-2412 339 2 27 27 NUM cana-2412 339 3 ] ] X cana-2412 339 4 d. d. PROPN cana-2412 339 5 srinivasacharya srinivasacharya PROPN cana-2412 339 6 , , PUNCT cana-2412 339 7 u. u. NOUN cana-2412 339 8 mendu mendu NOUN cana-2412 339 9 , , PUNCT cana-2412 339 10 and and CCONJ cana-2412 339 11 k. k. PROPN cana-2412 339 12 venumadhav venumadhav PROPN cana-2412 339 13 , , PUNCT cana-2412 339 14 procedia procedia NOUN cana-2412 339 15 engineering engineering NOUN cana-2412 339 16 127 127 NUM cana-2412 339 17 , , PUNCT cana-2412 339 18 1064 1064 NUM cana-2412 339 19 ( ( PUNCT cana-2412 339 20 2015 2015 NUM cana-2412 339 21 ) ) PUNCT cana-2412 339 22 . . PUNCT cana-2412 340 1 [ [ X cana-2412 340 2 28 28 NUM cana-2412 340 3 ] ] X cana-2412 340 4 m. m. NOUN cana-2412 340 5 veera veera PROPN cana-2412 340 6 krishna krishna PROPN cana-2412 340 7 , , PUNCT cana-2412 340 8 ali ali PROPN cana-2412 340 9 j. j. PROPN cana-2412 340 10 chamkha chamkha PROPN cana-2412 340 11 . . PUNCT cana-2412 341 1 journal journal PROPN cana-2412 341 2 of of ADP cana-2412 341 3 porous porous ADJ cana-2412 341 4 media medium NOUN cana-2412 341 5 22(2 22(2 NUM cana-2412 341 6 ) ) PUNCT cana-2412 341 7 , , PUNCT cana-2412 341 8 209 209 NUM cana-2412 341 9 ( ( PUNCT cana-2412 341 10 2019 2019 NUM cana-2412 341 11 ) ) PUNCT cana-2412 341 12 . . PUNCT cana-2412 342 1 [ [ X cana-2412 342 2 29 29 NUM cana-2412 342 3 ] ] PUNCT cana-2412 342 4 m. m. NOUN cana-2412 342 5 veera veera NOUN cana-2412 342 6 krishna krishna PROPN cana-2412 342 7 , , PUNCT cana-2412 342 8 p.v.s p.v.s NOUN cana-2412 342 9 . . PUNCT cana-2412 342 10 anand anand PROPN cana-2412 342 11 , , PUNCT cana-2412 342 12 ali ali PROPN cana-2412 342 13 j. j. PROPN cana-2412 342 14 chamkha chamkha PROPN cana-2412 342 15 . . PUNCT cana-2412 343 1 special special ADJ cana-2412 343 2 topics topic NOUN cana-2412 343 3 & & CCONJ cana-2412 343 4 reviews review NOUN cana-2412 343 5 in in ADP cana-2412 343 6 porous porous ADJ cana-2412 343 7 media medium NOUN cana-2412 343 8 : : PUNCT cana-2412 343 9 an an DET cana-2412 343 10 international international ADJ cana-2412 343 11 journal journal NOUN cana-2412 343 12 10 10 NUM cana-2412 343 13 ( ( PUNCT cana-2412 343 14 3 3 NUM cana-2412 343 15 ) ) PUNCT cana-2412 343 16 , , PUNCT cana-2412 343 17 203 203 NUM cana-2412 343 18 ( ( PUNCT cana-2412 343 19 2019 2019 NUM cana-2412 343 20 ) ) PUNCT cana-2412 343 21 . . PUNCT cana-2412 344 1 [ [ X cana-2412 344 2 30 30 NUM cana-2412 344 3 ] ] X cana-2412 344 4 m. m. NOUN cana-2412 344 5 veera veera NOUN cana-2412 344 6 krishna krishna PROPN cana-2412 344 7 , , PUNCT cana-2412 344 8 b.v b.v PROPN cana-2412 344 9 . . PROPN cana-2412 344 10 swarnalathamma swarnalathamma PROPN cana-2412 344 11 , , PUNCT cana-2412 344 12 ali ali PROPN cana-2412 344 13 j. j. PROPN cana-2412 344 14 chamkha chamkha PROPN cana-2412 344 15 . . PUNCT cana-2412 345 1 journal journal PROPN cana-2412 345 2 of of ADP cana-2412 345 3 ocean ocean PROPN cana-2412 345 4 engineering engineering NOUN cana-2412 345 5 and and CCONJ cana-2412 345 6 science science NOUN cana-2412 345 7 4(3 4(3 NUM cana-2412 345 8 ) ) PUNCT cana-2412 345 9 , , PUNCT cana-2412 345 10 263 263 NUM cana-2412 345 11 ( ( PUNCT cana-2412 345 12 2019 2019 NUM cana-2412 345 13 ) ) PUNCT cana-2412 345 14 . . PUNCT cana-2412 346 1 [ [ X cana-2412 346 2 31 31 NUM cana-2412 346 3 ] ] SYM cana-2412 346 4 krishna krishna PROPN cana-2412 346 5 , , PUNCT cana-2412 346 6 m.v m.v PROPN cana-2412 346 7 . . PROPN cana-2412 346 8 , , PUNCT cana-2412 346 9 chamkha chamkha PROPN cana-2412 346 10 , , PUNCT cana-2412 346 11 a.j a.j PROPN cana-2412 346 12 . . PROPN cana-2412 346 13 j j PROPN cana-2412 346 14 egypt egypt PROPN cana-2412 346 15 math math PROPN cana-2412 346 16 soc soc PROPN cana-2412 346 17 . . PUNCT cana-2412 347 1 28 28 NUM cana-2412 347 2 ( ( PUNCT cana-2412 347 3 1 1 NUM cana-2412 347 4 ) ) PUNCT cana-2412 347 5 , , PUNCT cana-2412 347 6 3826 3826 NUM cana-2412 347 7 ( ( PUNCT cana-2412 347 8 2020 2020 NUM cana-2412 347 9 ) ) PUNCT cana-2412 347 10 . . PUNCT cana-2412 348 1 [ [ X cana-2412 348 2 32 32 NUM cana-2412 348 3 ] ] PUNCT cana-2412 348 4 m. m. NOUN cana-2412 348 5 veera veera NOUN cana-2412 348 6 krishna krishna PROPN cana-2412 348 7 , , PUNCT cana-2412 348 8 kamboji kamboji PROPN cana-2412 348 9 jyothi jyothi PROPN cana-2412 348 10 , , PUNCT cana-2412 348 11 ali ali PROPN cana-2412 348 12 j. j. PROPN cana-2412 348 13 chamkha chamkha PROPN cana-2412 348 14 . . PUNCT cana-2412 349 1 journal journal PROPN cana-2412 349 2 of of ADP cana-2412 349 3 porous porous ADJ cana-2412 349 4 media medium NOUN cana-2412 349 5 23(8 23(8 NOUN cana-2412 349 6 ) ) PUNCT cana-2412 349 7 , , PUNCT cana-2412 349 8 751 751 NUM cana-2412 349 9 ( ( PUNCT cana-2412 349 10 2020 2020 NUM cana-2412 349 11 ) ) PUNCT cana-2412 349 12 . . PUNCT cana-2412 350 1 [ [ X cana-2412 350 2 33 33 NUM cana-2412 350 3 ] ] PUNCT cana-2412 350 4 m. m. NOUN cana-2412 350 5 veera veera NOUN cana-2412 350 6 krishna krishna PROPN cana-2412 350 7 , , PUNCT cana-2412 350 8 k. k. PROPN cana-2412 350 9 bharathi bharathi PROPN cana-2412 350 10 , , PUNCT cana-2412 350 11 ali ali PROPN cana-2412 350 12 j. j. PROPN cana-2412 350 13 chamkha chamkha PROPN cana-2412 350 14 . . PUNCT cana-2412 351 1 interfacial interfacial ADJ cana-2412 351 2 phenomena phenomenon NOUN cana-2412 351 3 and and CCONJ cana-2412 351 4 heat heat NOUN cana-2412 351 5 transfer transfer NOUN cana-2412 351 6 6(3 6(3 NUM cana-2412 351 7 ) ) PUNCT cana-2412 351 8 , , PUNCT cana-2412 351 9 253 253 NUM cana-2412 351 10 ( ( PUNCT cana-2412 351 11 2018 2018 NUM cana-2412 351 12 ) ) PUNCT cana-2412 351 13 . . PUNCT cana-2412 352 1 [ [ X cana-2412 352 2 34 34 NUM cana-2412 352 3 ] ] X cana-2412 352 4 s.u.s s.u.s PROPN cana-2412 352 5 . . PROPN cana-2412 352 6 choi choi PROPN cana-2412 352 7 , , PUNCT cana-2412 352 8 asme asme PROPN cana-2412 352 9 , , PUNCT cana-2412 352 10 usa usa PROPN cana-2412 352 11 , , PUNCT cana-2412 352 12 66 66 NUM cana-2412 352 13 , , PUNCT cana-2412 352 14 99 99 NUM cana-2412 352 15 ( ( PUNCT cana-2412 352 16 1995 1995 NUM cana-2412 352 17 ) ) PUNCT cana-2412 352 18 . . PUNCT cana-2412 353 1 communications communication NOUN cana-2412 353 2 on on ADP cana-2412 353 3 applied apply VERB cana-2412 353 4 nonlinear nonlinear ADJ cana-2412 353 5 analysis analysis NOUN cana-2412 353 6 issn issn NOUN cana-2412 353 7 : : PUNCT cana-2412 353 8 1074 1074 NUM cana-2412 353 9 - - PUNCT cana-2412 353 10 133x 133x NUM cana-2412 353 11 vol vol NOUN cana-2412 353 12 32 32 NUM cana-2412 353 13 no no NOUN cana-2412 353 14 . . PUNCT cana-2412 354 1 2s 2s NUM cana-2412 354 2 ( ( PUNCT cana-2412 354 3 2025 2025 NUM cana-2412 354 4 ) ) PUNCT cana-2412 354 5 403 403 NUM cana-2412 354 6 https://internationalpubls.com https://internationalpubls.com X cana-2412 355 1 [ [ X cana-2412 355 2 35 35 NUM cana-2412 355 3 ] ] PUNCT cana-2412 355 4 s. s. PROPN cana-2412 355 5 u. u. PROPN cana-2412 355 6 s. s. PROPN cana-2412 355 7 choi choi PROPN cana-2412 355 8 , , PUNCT cana-2412 355 9 proceedings proceeding NOUN cana-2412 355 10 of of ADP cana-2412 355 11 the the DET cana-2412 355 12 1995 1995 NUM cana-2412 355 13 , , PUNCT cana-2412 355 14 asme asme PROPN cana-2412 355 15 international international PROPN cana-2412 355 16 mechanical mechanical ADJ cana-2412 355 17 engineering engineering PROPN cana-2412 355 18 congress congress PROPN cana-2412 355 19 and and CCONJ cana-2412 355 20 exposition exposition NOUN cana-2412 355 21 66 66 NUM cana-2412 355 22 , , PUNCT cana-2412 355 23 99 99 NUM cana-2412 355 24 ( ( PUNCT cana-2412 355 25 1995 1995 NUM cana-2412 355 26 ) ) PUNCT cana-2412 355 27 . . PUNCT cana-2412 356 1 [ [ X cana-2412 356 2 36 36 NUM cana-2412 356 3 ] ] X cana-2412 356 4 m.y m.y PROPN cana-2412 356 5 . . PROPN cana-2412 356 6 malik malik PROPN cana-2412 356 7 , , PUNCT cana-2412 356 8 m. m. NOUN cana-2412 356 9 naseer naseer PROPN cana-2412 356 10 , , PUNCT cana-2412 356 11 s. s. PROPN cana-2412 356 12 nadeem nadeem PROPN cana-2412 356 13 , , PUNCT cana-2412 356 14 a. a. PROPN cana-2412 356 15 rehman rehman PROPN cana-2412 356 16 , , PUNCT cana-2412 356 17 appl appl PROPN cana-2412 356 18 . . PUNCT cana-2412 357 1 nanosci nanosci PROPN cana-2412 357 2 . . PUNCT cana-2412 358 1 4 4 NUM cana-2412 358 2 , , PUNCT cana-2412 358 3 869 869 NUM cana-2412 358 4 ( ( PUNCT cana-2412 358 5 2014 2014 NUM cana-2412 358 6 ) ) PUNCT cana-2412 358 7 . . PUNCT cana-2412 359 1 [ [ X cana-2412 359 2 37 37 NUM cana-2412 359 3 ] ] X cana-2412 359 4 rizwan rizwan PROPN cana-2412 359 5 u.l u.l PROPN cana-2412 359 6 . . PROPN cana-2412 359 7 haq haq PROPN cana-2412 359 8 , , PUNCT cana-2412 359 9 s. s. PROPN cana-2412 359 10 nadeem nadeem PROPN cana-2412 359 11 , , PUNCT cana-2412 359 12 z. z. PROPN cana-2412 359 13 hayyat hayyat PROPN cana-2412 359 14 khan khan PROPN cana-2412 359 15 , , PUNCT cana-2412 359 16 toyin toyin NOUN cana-2412 359 17 gideon gideon PROPN cana-2412 359 18 okedayo okedayo PROPN cana-2412 359 19 , , PUNCT cana-2412 359 20 cent cent NOUN cana-2412 359 21 . . PUNCT cana-2412 360 1 eur eur PROPN cana-2412 360 2 . . PUNCT cana-2412 361 1 j. j. PROPN cana-2412 361 2 phys phys PROPN cana-2412 361 3 . . PUNCT cana-2412 362 1 12 12 NUM cana-2412 362 2 , , PUNCT cana-2412 362 3 862 862 NUM cana-2412 362 4 ( ( PUNCT cana-2412 362 5 2014 2014 NUM cana-2412 362 6 ) ) PUNCT cana-2412 362 7 . . PUNCT cana-2412 363 1 [ [ X cana-2412 363 2 38 38 NUM cana-2412 363 3 ] ] PUNCT cana-2412 363 4 m. m. NOUN cana-2412 363 5 madhu madhu PROPN cana-2412 363 6 , , PUNCT cana-2412 363 7 n. n. PROPN cana-2412 363 8 kishan kishan PROPN cana-2412 363 9 , , PUNCT cana-2412 363 10 j. j. PROPN cana-2412 363 11 fluids fluid NOUN cana-2412 363 12 id634186 id634186 PROPN cana-2412 363 13 ( ( PUNCT cana-2412 363 14 2015 2015 NUM cana-2412 363 15 ) ) PUNCT cana-2412 363 16 . . PUNCT cana-2412 364 1 [ [ X cana-2412 364 2 39 39 NUM cana-2412 364 3 ] ] PUNCT cana-2412 364 4 m. m. NOUN cana-2412 364 5 mustafa mustafa PROPN cana-2412 364 6 , , PUNCT cana-2412 364 7 j.a j.a PROPN cana-2412 364 8 . . PROPN cana-2412 364 9 khan khan PROPN cana-2412 364 10 , , PUNCT cana-2412 364 11 aip aip PROPN cana-2412 364 12 adv adv PROPN cana-2412 364 13 . . PROPN cana-2412 364 14 5 5 NUM cana-2412 364 15 , , PUNCT cana-2412 364 16 077148 077148 NUM cana-2412 364 17 ( ( PUNCT cana-2412 364 18 2015 2015 NUM cana-2412 364 19 ) ) PUNCT cana-2412 364 20 . . PUNCT cana-2412 365 1 [ [ X cana-2412 365 2 40 40 NUM cana-2412 365 3 ] ] PUNCT cana-2412 365 4 w. w. PROPN cana-2412 365 5 ibrahim ibrahim PROPN cana-2412 365 6 , , PUNCT cana-2412 365 7 o.d o.d PROPN cana-2412 365 8 . . PROPN cana-2412 365 9 makinde makinde PROPN cana-2412 365 10 , , PUNCT cana-2412 365 11 j. j. PROPN cana-2412 365 12 aerospace aerospace PROPN cana-2412 365 13 eng eng PROPN cana-2412 365 14 . . PROPN cana-2412 365 15 29 29 NUM cana-2412 365 16 , , PUNCT cana-2412 365 17 04015037 04015037 NUM cana-2412 365 18 ( ( PUNCT cana-2412 365 19 2015 2015 NUM cana-2412 365 20 ) ) PUNCT cana-2412 365 21 . . PUNCT cana-2412 366 1 [ [ X cana-2412 366 2 41 41 NUM cana-2412 366 3 ] ] PUNCT cana-2412 366 4 a. a. PROPN cana-2412 366 5 j. j. PROPN cana-2412 366 6 chamkha chamkha PROPN cana-2412 366 7 , , PUNCT cana-2412 366 8 s. s. PROPN cana-2412 366 9 abbasbandy abbasbandy PROPN cana-2412 366 10 , , PUNCT cana-2412 366 11 a. a. PROPN cana-2412 366 12 m. m. PROPN cana-2412 366 13 rashad rashad PROPN cana-2412 366 14 , , PUNCT cana-2412 366 15 and and CCONJ cana-2412 366 16 k. k. PROPN cana-2412 366 17 vajravelu vajravelu PROPN cana-2412 366 18 , , PUNCT cana-2412 366 19 transport transport NOUN cana-2412 366 20 in in ADP cana-2412 366 21 porous porous ADJ cana-2412 366 22 media medium NOUN cana-2412 366 23 91 91 NUM cana-2412 366 24 , , PUNCT cana-2412 366 25 261 261 NUM cana-2412 366 26 ( ( PUNCT cana-2412 366 27 2012 2012 NUM cana-2412 366 28 ) ) PUNCT cana-2412 366 29 . . PUNCT cana-2412 367 1 [ [ X cana-2412 367 2 42 42 NUM cana-2412 367 3 ] ] PUNCT cana-2412 367 4 w. w. PROPN cana-2412 367 5 a. a. PROPN cana-2412 367 6 khan khan PROPN cana-2412 367 7 and and CCONJ cana-2412 367 8 i. i. PROPN cana-2412 367 9 pop pop PROPN cana-2412 367 10 , , PUNCT cana-2412 367 11 mathematical mathematical ADJ cana-2412 367 12 problems problem NOUN cana-2412 367 13 in in ADP cana-2412 367 14 engineering engineer VERB cana-2412 367 15 2013 2013 NUM cana-2412 367 16 , , PUNCT cana-2412 367 17 7 7 NUM cana-2412 367 18 ( ( PUNCT cana-2412 367 19 2013 2013 NUM cana-2412 367 20 ) ) PUNCT cana-2412 367 21 . . PUNCT cana-2412 368 1 [ [ X cana-2412 368 2 43 43 NUM cana-2412 368 3 ] ] PUNCT cana-2412 368 4 a. a. NOUN cana-2412 368 5 mahdy mahdy NOUN cana-2412 368 6 and and CCONJ cana-2412 368 7 a. a. NOUN cana-2412 368 8 chamkha chamkha PROPN cana-2412 368 9 , , PUNCT cana-2412 368 10 international international ADJ cana-2412 368 11 journal journal NOUN cana-2412 368 12 of of ADP cana-2412 368 13 numerical numerical ADJ cana-2412 368 14 methods method NOUN cana-2412 368 15 for for ADP cana-2412 368 16 heat heat NOUN cana-2412 368 17 and and CCONJ cana-2412 368 18 fluid fluid ADJ cana-2412 368 19 flow flow NOUN cana-2412 368 20 28 28 NUM cana-2412 368 21 , , PUNCT cana-2412 368 22 2567 2567 NUM cana-2412 368 23 ( ( PUNCT cana-2412 368 24 2018 2018 NUM cana-2412 368 25 ) ) PUNCT cana-2412 368 26 . . PUNCT cana-2412 369 1 [ [ X cana-2412 369 2 44 44 NUM cana-2412 369 3 ] ] X cana-2412 369 4 n. n. PROPN cana-2412 369 5 amar amar PROPN cana-2412 369 6 , , PUNCT cana-2412 369 7 n. n. PROPN cana-2412 369 8 kishan kishan PROPN cana-2412 369 9 , , PUNCT cana-2412 369 10 advances advance NOUN cana-2412 369 11 in in ADP cana-2412 369 12 mathematics mathematic NOUN cana-2412 369 13 : : PUNCT cana-2412 369 14 scientific scientific ADJ cana-2412 369 15 journal journal NOUN cana-2412 369 16 10 10 NUM cana-2412 369 17 ( ( PUNCT cana-2412 369 18 3 3 NUM cana-2412 369 19 ) ) PUNCT cana-2412 369 20 , , PUNCT cana-2412 369 21 1357 1357 NUM cana-2412 369 22 ( ( PUNCT cana-2412 369 23 2021 2021 NUM cana-2412 369 24 ) ) PUNCT cana-2412 369 25 . . PUNCT cana-2412 370 1 [ [ X cana-2412 370 2 45 45 NUM cana-2412 370 3 ] ] X cana-2412 370 4 jamal jamal PROPN cana-2412 370 5 shah shah PROPN cana-2412 370 6 , , PUNCT cana-2412 370 7 farhad farhad PROPN cana-2412 370 8 ali ali PROPN cana-2412 370 9 , , PUNCT cana-2412 370 10 naveed naveed PROPN cana-2412 370 11 khan khan PROPN cana-2412 370 12 , , PUNCT cana-2412 370 13 zubair zubair PROPN cana-2412 370 14 ahmad ahmad PROPN cana-2412 370 15 , , PUNCT cana-2412 370 16 saqib saqib PROPN cana-2412 370 17 murtaza murtaza PROPN cana-2412 370 18 , , PUNCT cana-2412 370 19 ilyas ilyas PROPN cana-2412 370 20 khan khan PROPN cana-2412 370 21 , , PUNCT cana-2412 370 22 omar omar PROPN cana-2412 370 23 mahmoud mahmoud PROPN cana-2412 370 24 , , PUNCT cana-2412 370 25 sci sci PROPN cana-2412 370 26 rep rep PROPN cana-2412 370 27 12 12 NUM cana-2412 370 28 , , PUNCT cana-2412 370 29 17364 17364 NUM cana-2412 370 30 ( ( PUNCT cana-2412 370 31 2022 2022 NUM cana-2412 370 32 ) ) PUNCT cana-2412 370 33 . . PUNCT cana-2412 371 1 [ [ X cana-2412 371 2 46 46 NUM cana-2412 371 3 ] ] X cana-2412 371 4 asad asad PROPN cana-2412 371 5 ullah ullah PROPN cana-2412 371 6 , , PUNCT cana-2412 371 7 ramadan ramadan PROPN cana-2412 371 8 a. a. PROPN cana-2412 371 9 zein zein PROPN cana-2412 371 10 eldin eldin PROPN cana-2412 371 11 , , PUNCT cana-2412 371 12 hamiden hamiden PROPN cana-2412 371 13 abd abd PROPN cana-2412 371 14 el el PROPN cana-2412 371 15 - - PUNCT cana-2412 371 16 wahed wahe VERB cana-2412 371 17 khalifa khalifa PROPN cana-2412 371 18 , , PUNCT cana-2412 371 19 acs acs PROPN cana-2412 371 20 omega omega NOUN cana-2412 371 21 8(12 8(12 NUM cana-2412 371 22 ) ) PUNCT cana-2412 371 23 , , PUNCT cana-2412 371 24 10991 10991 NUM cana-2412 371 25 ( ( PUNCT cana-2412 371 26 2023 2023 NUM cana-2412 371 27 ) ) PUNCT cana-2412 371 28 . . PUNCT cana-2412 372 1 [ [ X cana-2412 372 2 47 47 NUM cana-2412 372 3 ] ] X cana-2412 372 4 ragulkumar ragulkumar PROPN cana-2412 372 5 , , PUNCT cana-2412 372 6 e. e. PROPN cana-2412 372 7 , , PUNCT cana-2412 372 8 palani palani PROPN cana-2412 372 9 , , PUNCT cana-2412 372 10 g. g. PROPN cana-2412 372 11 , , PUNCT cana-2412 372 12 sambath sambath PROPN cana-2412 372 13 , , PUNCT cana-2412 372 14 p. p. PROPN cana-2412 372 15 sci sci PROPN cana-2412 372 16 rep rep PROPN cana-2412 372 17 13 13 NUM cana-2412 372 18 , , PUNCT cana-2412 372 19 2878 2878 NUM cana-2412 372 20 ( ( PUNCT cana-2412 372 21 2023 2023 NUM cana-2412 372 22 ) ) PUNCT cana-2412 372 23 . . PUNCT cana-2412 373 1 [ [ X cana-2412 373 2 48 48 NUM cana-2412 373 3 ] ] X cana-2412 373 4 y. y. PROPN cana-2412 373 5 suresh suresh PROPN cana-2412 373 6 kumar kumar PROPN cana-2412 373 7 , , PUNCT cana-2412 373 8 shaik shaik PROPN cana-2412 373 9 hussain hussain PROPN cana-2412 373 10 , , PUNCT cana-2412 373 11 k. k. PROPN cana-2412 373 12 raghunath raghunath PROPN cana-2412 373 13 , , PUNCT cana-2412 373 14 farhan farhan PROPN cana-2412 373 15 ali ali PROPN cana-2412 373 16 , , PUNCT cana-2412 373 17 kamel kamel PROPN cana-2412 373 18 guedri guedri PROPN cana-2412 373 19 , , PUNCT cana-2412 373 20 sayed say VERB cana-2412 373 21 m. m. PROPN cana-2412 373 22 eldin eldin PROPN cana-2412 373 23 , , PUNCT cana-2412 373 24 m. m. PROPN cana-2412 373 25 ijaz ijaz PROPN cana-2412 373 26 khan khan PROPN cana-2412 373 27 . . PUNCT cana-2412 374 1 sci sci PROPN cana-2412 374 2 rep rep PROPN cana-2412 374 3 13 13 NUM cana-2412 374 4 , , PUNCT cana-2412 374 5 4021 4021 NUM cana-2412 374 6 ( ( PUNCT cana-2412 374 7 2023 2023 NUM cana-2412 374 8 ) ) PUNCT cana-2412 374 9 . . PUNCT cana-2412 375 1 [ [ X cana-2412 375 2 49 49 NUM cana-2412 375 3 ] ] X cana-2412 375 4 n. n. PROPN cana-2412 375 5 amar amar PROPN cana-2412 375 6 , , PUNCT cana-2412 375 7 n.kishan n.kishan PRON cana-2412 375 8 , , PUNCT cana-2412 375 9 b. b. PROPN cana-2412 375 10 shankar shankar PROPN cana-2412 375 11 goud goud PROPN cana-2412 375 12 , , PUNCT cana-2412 375 13 j. j. PROPN cana-2412 375 14 nanofluids nanofluids PROPN cana-2412 375 15 12(3 12(3 PROPN cana-2412 375 16 ) ) PUNCT cana-2412 375 17 643 643 NUM cana-2412 375 18 ( ( PUNCT cana-2412 375 19 2023 2023 NUM cana-2412 375 20 ) ) PUNCT cana-2412 375 21 . . PUNCT cana-2412 376 1 [ [ X cana-2412 376 2 50 50 NUM cana-2412 376 3 ] ] X cana-2412 376 4 macha macha PROPN cana-2412 376 5 madhu madhu PROPN cana-2412 376 6 and and CCONJ cana-2412 376 7 naikoti naikoti PROPN cana-2412 376 8 kishan kishan PROPN cana-2412 376 9 , , PUNCT cana-2412 376 10 mechanics mechanic NOUN cana-2412 376 11 & & CCONJ cana-2412 376 12 industry industry NOUN cana-2412 376 13 18 18 NUM cana-2412 376 14 , , PUNCT cana-2412 376 15 210 210 NUM cana-2412 376 16 ( ( PUNCT cana-2412 376 17 2017 2017 NUM cana-2412 376 18 ) ) PUNCT cana-2412 376 19 . . PUNCT cana-2412 377 1 [ [ X cana-2412 377 2 51 51 NUM cana-2412 377 3 ] ] X cana-2412 377 4 rossenald rossenald PROPN cana-2412 377 5 s s PROPN cana-2412 377 6 , , PUNCT cana-2412 377 7 astrophysik astrophysik PROPN cana-2412 377 8 und und VERB cana-2412 377 9 atom atom NOUN cana-2412 377 10 - - PUNCT cana-2412 377 11 theoretische theoretische NOUN cana-2412 377 12 grundlagen grundlagen NOUN cana-2412 377 13 , , PUNCT cana-2412 377 14 berlin berlin PROPN cana-2412 377 15 : : PUNCT cana-2412 377 16 springer springer NOUN cana-2412 377 17 , , PUNCT cana-2412 377 18 1931 1931 NUM cana-2412 377 19 . . PUNCT cana-2412 378 1 [ [ X cana-2412 378 2 52 52 NUM cana-2412 378 3 ] ] PUNCT cana-2412 378 4 k.ahmad k.ahmad VERB cana-2412 378 5 , , PUNCT cana-2412 378 6 z.hanouf z.hanouf NUM cana-2412 378 7 , , PUNCT cana-2412 378 8 anda.ishak anda.ishak PROPN cana-2412 378 9 , , PUNCT cana-2412 378 10 eur.phys.j.plus132,1 eur.phys.j.plus132,1 NOUN cana-2412 378 11 ( ( PUNCT cana-2412 378 12 2017 2017 NUM cana-2412 378 13 ) ) PUNCT cana-2412 378 14 . . PUNCT cana-2412 379 1 [ [ X cana-2412 379 2 53 53 NUM cana-2412 379 3 ] ] X cana-2412 379 4 i. i. PROPN cana-2412 379 5 ullah ullah PROPN cana-2412 379 6 , , PUNCT cana-2412 379 7 s. s. PROPN cana-2412 379 8 shafie shafie PROPN cana-2412 379 9 , , PUNCT cana-2412 379 10 i. i. PROPN cana-2412 379 11 khan khan PROPN cana-2412 379 12 , , PUNCT cana-2412 379 13 malaysian malaysian ADJ cana-2412 379 14 journal journal NOUN cana-2412 379 15 of of ADP cana-2412 379 16 fundamental fundamental ADJ cana-2412 379 17 and and CCONJ cana-2412 379 18 applied applied ADJ cana-2412 379 19 sciences science NOUN cana-2412 379 20 13 13 NUM cana-2412 379 21 , , PUNCT cana-2412 379 22 637 637 NUM cana-2412 379 23 ( ( PUNCT cana-2412 379 24 2017 2017 NUM cana-2412 379 25 ) ) PUNCT cana-2412 379 26 . . PUNCT cana-2412 380 1 [ [ X cana-2412 380 2 54 54 NUM cana-2412 380 3 ] ] PUNCT cana-2412 380 4 b. b. PROPN cana-2412 380 5 l.kuo l.kuo PROPN cana-2412 380 6 , , PUNCT cana-2412 380 7 acta acta PROPN cana-2412 380 8 mechanica mechanica PROPN cana-2412 380 9 . . PROPN cana-2412 380 10 164 164 NUM cana-2412 380 11 , , PUNCT cana-2412 380 12 161 161 NUM cana-2412 380 13 ( ( PUNCT cana-2412 380 14 2003 2003 NUM cana-2412 380 15 ) ) PUNCT cana-2412 380 16 . . PUNCT