id sid tid token lemma pos cana-538 1 1 communications communication NOUN cana-538 1 2 on on ADP cana-538 1 3 applied apply VERB cana-538 1 4 nonlinear nonlinear ADJ cana-538 1 5 analysis analysis NOUN cana-538 1 6 issn issn NOUN cana-538 1 7 : : PUNCT cana-538 1 8 1074 1074 NUM cana-538 1 9 - - PUNCT cana-538 1 10 133x 133x NUM cana-538 1 11 vol vol NOUN cana-538 1 12 31 31 NUM cana-538 1 13 no no NOUN cana-538 1 14 . . NOUN cana-538 1 15 2 2 NUM cana-538 1 16 ( ( PUNCT cana-538 1 17 2024 2024 NUM cana-538 1 18 ) ) PUNCT cana-538 1 19 223 223 NUM cana-538 2 1 https://internationalpubls.com https://internationalpubls.com X cana-538 2 2 flow flow NOUN cana-538 2 3 of of ADP cana-538 2 4 hybrid hybrid ADJ cana-538 2 5 dust dust NOUN cana-538 2 6 micropolar micropolar NOUN cana-538 2 7 nanofluids nanofluid VERB cana-538 2 8 along along ADP cana-538 2 9 the the DET cana-538 2 10 symmetric symmetric ADJ cana-538 2 11 riga riga PROPN cana-538 2 12 surface surface NOUN cana-538 2 13 with with ADP cana-538 2 14 heat heat NOUN cana-538 2 15 generation generation NOUN cana-538 2 16 and and CCONJ cana-538 2 17 application application NOUN cana-538 2 18 of of ADP cana-538 2 19 cattaneochristov cattaneochristov PROPN cana-538 2 20 theory theory NOUN cana-538 2 21 1 1 NUM cana-538 2 22 dr dr PROPN cana-538 2 23 . . PROPN cana-538 2 24 e. e. PROPN cana-538 2 25 rama rama PROPN cana-538 2 26 , , PUNCT cana-538 2 27 2 2 NUM cana-538 2 28 m m NOUN cana-538 2 29 annapoorna annapoorna VERB cana-538 2 30 1associate 1associate NUM cana-538 2 31 professor professor NOUN cana-538 2 32 , , PUNCT cana-538 2 33 department department NOUN cana-538 2 34 of of ADP cana-538 2 35 mathematics mathematics PROPN cana-538 2 36 , , PUNCT cana-538 2 37 osmania osmania PROPN cana-538 2 38 university university PROPN cana-538 2 39 , , PUNCT cana-538 2 40 hyderabad hyderabad PROPN cana-538 2 41 , , PUNCT cana-538 2 42 india india PROPN cana-538 2 43 2degree 2degree NUM cana-538 2 44 lecturer lecturer NOUN cana-538 2 45 , , PUNCT cana-538 2 46 department department NOUN cana-538 2 47 of of ADP cana-538 2 48 mathematics mathematics PROPN cana-538 2 49 , , PUNCT cana-538 2 50 tswrdcw tswrdcw PROPN cana-538 2 51 , , PUNCT cana-538 2 52 telangana telangana PROPN cana-538 2 53 , , PUNCT cana-538 2 54 india india PROPN cana-538 2 55 article article PROPN cana-538 2 56 history history NOUN cana-538 2 57 : : PUNCT cana-538 2 58 received receive VERB cana-538 2 59 : : PUNCT cana-538 2 60 01 01 NUM cana-538 2 61 - - PUNCT cana-538 2 62 02 02 NUM cana-538 2 63 - - PUNCT cana-538 2 64 2024 2024 NUM cana-538 2 65 revised revise VERB cana-538 2 66 : : PUNCT cana-538 2 67 15 15 NUM cana-538 2 68 - - PUNCT cana-538 2 69 04 04 NUM cana-538 2 70 - - PUNCT cana-538 2 71 2024 2024 NUM cana-538 2 72 accepted accept VERB cana-538 2 73 : : PUNCT cana-538 2 74 30 30 NUM cana-538 2 75 - - PUNCT cana-538 2 76 04 04 NUM cana-538 2 77 - - PUNCT cana-538 2 78 2024 2024 NUM cana-538 2 79 abstract abstract NOUN cana-538 2 80 : : PUNCT cana-538 2 81 this this DET cana-538 2 82 study study NOUN cana-538 2 83 investigates investigate VERB cana-538 2 84 the the DET cana-538 2 85 mechanical mechanical ADJ cana-538 2 86 characteristics characteristic NOUN cana-538 2 87 of of ADP cana-538 2 88 a a DET cana-538 2 89 hybrid hybrid ADJ cana-538 2 90 nanofluid nanofluid NOUN cana-538 2 91 containing contain VERB cana-538 2 92 dust dust NOUN cana-538 2 93 and and CCONJ cana-538 2 94 micropolar micropolar ADJ cana-538 2 95 particles particle NOUN cana-538 2 96 , , PUNCT cana-538 2 97 flowing flow VERB cana-538 2 98 under under ADP cana-538 2 99 mixed mixed ADJ cana-538 2 100 convection convection NOUN cana-538 2 101 past past ADP cana-538 2 102 a a DET cana-538 2 103 symmetric symmetric ADJ cana-538 2 104 riga riga PROPN cana-538 2 105 surface surface NOUN cana-538 2 106 using use VERB cana-538 2 107 the the DET cana-538 2 108 cattaneo cattaneo NOUN cana-538 2 109 - - PUNCT cana-538 2 110 christov christov INTJ cana-538 2 111 ( ( PUNCT cana-538 2 112 c c NOUN cana-538 2 113 - - PUNCT cana-538 2 114 c c NOUN cana-538 2 115 ) ) PUNCT cana-538 2 116 heat heat NOUN cana-538 2 117 flux flux NOUN cana-538 2 118 theory theory NOUN cana-538 2 119 with with ADP cana-538 2 120 consideration consideration NOUN cana-538 2 121 for for ADP cana-538 2 122 heat heat NOUN cana-538 2 123 generation generation NOUN cana-538 2 124 effects effect NOUN cana-538 2 125 . . PUNCT cana-538 3 1 the the DET cana-538 3 2 analysis analysis NOUN cana-538 3 3 focuses focus VERB cana-538 3 4 on on ADP cana-538 3 5 dust dust NOUN cana-538 3 6 micropolar micropolar NOUN cana-538 3 7 flow flow NOUN cana-538 3 8 within within ADP cana-538 3 9 a a DET cana-538 3 10 porous porous ADJ cana-538 3 11 medium medium NOUN cana-538 3 12 with with ADP cana-538 3 13 a a DET cana-538 3 14 combination combination NOUN cana-538 3 15 of of ADP cana-538 3 16 hybrid hybrid ADJ cana-538 3 17 nanoparticles nanoparticle NOUN cana-538 3 18 cnts cnt VERB cana-538 3 19 f𝑒3𝑂4 f𝑒3𝑂4 PROPN cana-538 3 20 with with ADP cana-538 3 21 blood blood NOUN cana-538 3 22 . . PUNCT cana-538 4 1 the the DET cana-538 4 2 mathematical mathematical ADJ cana-538 4 3 model model NOUN cana-538 4 4 describing describe VERB cana-538 4 5 this this DET cana-538 4 6 system system NOUN cana-538 4 7 involves involve VERB cana-538 4 8 a a DET cana-538 4 9 set set NOUN cana-538 4 10 of of ADP cana-538 4 11 partial partial ADJ cana-538 4 12 differential differential ADJ cana-538 4 13 equations equation NOUN cana-538 4 14 ( ( PUNCT cana-538 4 15 pdes pde NOUN cana-538 4 16 ) ) PUNCT cana-538 4 17 , , PUNCT cana-538 4 18 which which PRON cana-538 4 19 are be AUX cana-538 4 20 transformed transform VERB cana-538 4 21 into into ADP cana-538 4 22 dimensionless dimensionless ADJ cana-538 4 23 ordinary ordinary ADJ cana-538 4 24 differential differential ADJ cana-538 4 25 equations equation NOUN cana-538 4 26 ( ( PUNCT cana-538 4 27 odes ode NOUN cana-538 4 28 ) ) PUNCT cana-538 4 29 and and CCONJ cana-538 4 30 eventually eventually ADV cana-538 4 31 into into ADP cana-538 4 32 a a DET cana-538 4 33 form form NOUN cana-538 4 34 that that PRON cana-538 4 35 can can AUX cana-538 4 36 be be AUX cana-538 4 37 solved solve VERB cana-538 4 38 using use VERB cana-538 4 39 the the DET cana-538 4 40 matlab matlab PROPN cana-538 4 41 program program NOUN cana-538 4 42 . . PUNCT cana-538 5 1 graphical graphical ADJ cana-538 5 2 representations representation NOUN cana-538 5 3 are be AUX cana-538 5 4 employed employ VERB cana-538 5 5 to to PART cana-538 5 6 examine examine VERB cana-538 5 7 and and CCONJ cana-538 5 8 discuss discuss VERB cana-538 5 9 the the DET cana-538 5 10 impact impact NOUN cana-538 5 11 of of ADP cana-538 5 12 various various ADJ cana-538 5 13 flow flow NOUN cana-538 5 14 parameters parameter NOUN cana-538 5 15 on on ADP cana-538 5 16 the the DET cana-538 5 17 velocity velocity NOUN cana-538 5 18 and and CCONJ cana-538 5 19 temperature temperature NOUN cana-538 5 20 profiles profile NOUN cana-538 5 21 of of ADP cana-538 5 22 the the DET cana-538 5 23 dust dust NOUN cana-538 5 24 micropolar micropolar NOUN cana-538 5 25 hybrid hybrid ADJ cana-538 5 26 nanofluid nanofluid NOUN cana-538 5 27 . . PUNCT cana-538 6 1 several several ADJ cana-538 6 2 key key ADJ cana-538 6 3 findings finding NOUN cana-538 6 4 emerge emerge VERB cana-538 6 5 from from ADP cana-538 6 6 this this DET cana-538 6 7 investigation investigation NOUN cana-538 6 8 . . PUNCT cana-538 7 1 it it PRON cana-538 7 2 is be AUX cana-538 7 3 anticipated anticipate VERB cana-538 7 4 that that SCONJ cana-538 7 5 an an DET cana-538 7 6 increase increase NOUN cana-538 7 7 in in ADP cana-538 7 8 the the DET cana-538 7 9 interaction interaction NOUN cana-538 7 10 between between ADP cana-538 7 11 fluid fluid ADJ cana-538 7 12 particle particle NOUN cana-538 7 13 parameters parameter NOUN cana-538 7 14 will will AUX cana-538 7 15 result result VERB cana-538 7 16 in in ADP cana-538 7 17 a a DET cana-538 7 18 decrease decrease NOUN cana-538 7 19 in in ADP cana-538 7 20 the the DET cana-538 7 21 temperature temperature NOUN cana-538 7 22 of of ADP cana-538 7 23 the the DET cana-538 7 24 fluid fluid ADJ cana-538 7 25 phase phase NOUN cana-538 7 26 and and CCONJ cana-538 7 27 an an DET cana-538 7 28 increase increase NOUN cana-538 7 29 in in ADP cana-538 7 30 the the DET cana-538 7 31 temperature temperature NOUN cana-538 7 32 of of ADP cana-538 7 33 the the DET cana-538 7 34 dust dust NOUN cana-538 7 35 phase phase NOUN cana-538 7 36 . . PUNCT cana-538 8 1 moreover moreover ADV cana-538 8 2 , , PUNCT cana-538 8 3 the the DET cana-538 8 4 study study NOUN cana-538 8 5 reveals reveal VERB cana-538 8 6 that that SCONJ cana-538 8 7 the the DET cana-538 8 8 nusselt nusselt NOUN cana-538 8 9 number number NOUN cana-538 8 10 is be AUX cana-538 8 11 influenced influence VERB cana-538 8 12 by by ADP cana-538 8 13 the the DET cana-538 8 14 mixed mixed ADJ cana-538 8 15 convection convection NOUN cana-538 8 16 effects effect NOUN cana-538 8 17 . . PUNCT cana-538 9 1 additionally additionally ADV cana-538 9 2 , , PUNCT cana-538 9 3 larger large ADJ cana-538 9 4 values value NOUN cana-538 9 5 of of ADP cana-538 9 6 the the DET cana-538 9 7 heat heat NOUN cana-538 9 8 generation generation NOUN cana-538 9 9 parameter parameter NOUN cana-538 9 10 lead lead NOUN cana-538 9 11 to to ADP cana-538 9 12 higher high ADJ cana-538 9 13 temperatures temperature NOUN cana-538 9 14 in in ADP cana-538 9 15 both both CCONJ cana-538 9 16 the the DET cana-538 9 17 fluid fluid ADJ cana-538 9 18 phase phase NOUN cana-538 9 19 and and CCONJ cana-538 9 20 the the DET cana-538 9 21 dust dust NOUN cana-538 9 22 phase phase NOUN cana-538 9 23 . . PUNCT cana-538 10 1 conclusion conclusion NOUN cana-538 10 2 : : PUNCT cana-538 10 3 in in ADP cana-538 10 4 summary summary NOUN cana-538 10 5 , , PUNCT cana-538 10 6 this this DET cana-538 10 7 study study NOUN cana-538 10 8 comprehensively comprehensively ADV cana-538 10 9 investigates investigate VERB cana-538 10 10 the the DET cana-538 10 11 dynamics dynamic NOUN cana-538 10 12 of of ADP cana-538 10 13 nanofluid nanofluid NOUN cana-538 10 14 flows flow VERB cana-538 10 15 over over ADP cana-538 10 16 a a DET cana-538 10 17 riga riga ADJ cana-538 10 18 surface surface NOUN cana-538 10 19 , , PUNCT cana-538 10 20 considering consider VERB cana-538 10 21 parameters parameter NOUN cana-538 10 22 like like ADP cana-538 10 23 𝑅𝑑 𝑅𝑑 PROPN cana-538 10 24 , , PUNCT cana-538 10 25 pr pr NOUN cana-538 10 26 , , PUNCT cana-538 10 27 and and CCONJ cana-538 10 28 Ξ²v Ξ²v PROPN cana-538 10 29 . . PUNCT cana-538 11 1 the the DET cana-538 11 2 findings finding NOUN cana-538 11 3 highlight highlight VERB cana-538 11 4 their their PRON cana-538 11 5 significant significant ADJ cana-538 11 6 impact impact NOUN cana-538 11 7 on on ADP cana-538 11 8 temperature temperature NOUN cana-538 11 9 distribution distribution NOUN cana-538 11 10 , , PUNCT cana-538 11 11 fluid fluid ADJ cana-538 11 12 flow flow NOUN cana-538 11 13 patterns pattern NOUN cana-538 11 14 , , PUNCT cana-538 11 15 and and CCONJ cana-538 11 16 friction friction NOUN cana-538 11 17 forces force NOUN cana-538 11 18 . . PUNCT cana-538 12 1 the the DET cana-538 12 2 results result NOUN cana-538 12 3 offer offer VERB cana-538 12 4 insights insight NOUN cana-538 12 5 crucial crucial ADJ cana-538 12 6 for for ADP cana-538 12 7 optimizing optimize VERB cana-538 12 8 engineering engineering NOUN cana-538 12 9 systems system NOUN cana-538 12 10 like like ADP cana-538 12 11 cooling cool VERB cana-538 12 12 technologies technology NOUN cana-538 12 13 and and CCONJ cana-538 12 14 heat heat NOUN cana-538 12 15 exchangers exchanger NOUN cana-538 12 16 . . PUNCT cana-538 13 1 this this DET cana-538 13 2 research research NOUN cana-538 13 3 advances advance VERB cana-538 13 4 our our PRON cana-538 13 5 understanding understanding NOUN cana-538 13 6 of of ADP cana-538 13 7 nanofluid nanofluid ADJ cana-538 13 8 dynamics dynamic NOUN cana-538 13 9 and and CCONJ cana-538 13 10 provides provide VERB cana-538 13 11 valuable valuable ADJ cana-538 13 12 guidance guidance NOUN cana-538 13 13 for for ADP cana-538 13 14 future future ADJ cana-538 13 15 studies study NOUN cana-538 13 16 and and CCONJ cana-538 13 17 practical practical ADJ cana-538 13 18 applications application NOUN cana-538 13 19 . . PUNCT cana-538 14 1 keywords keyword NOUN cana-538 14 2 : : PUNCT cana-538 14 3 micropolar micropolar ADJ cana-538 14 4 dust dust NOUN cana-538 14 5 phase phase NOUN cana-538 14 6 , , PUNCT cana-538 14 7 porous porous ADJ cana-538 14 8 medium medium NOUN cana-538 14 9 , , PUNCT cana-538 14 10 a a DET cana-538 14 11 symmetric symmetric ADJ cana-538 14 12 riga riga PROPN cana-538 14 13 surface surface NOUN cana-538 14 14 , , PUNCT cana-538 14 15 cattaneo cattaneo PROPN cana-538 14 16 - - PUNCT cana-538 14 17 christov christov PROPN cana-538 14 18 theory theory NOUN cana-538 14 19 , , PUNCT cana-538 14 20 heat heat NOUN cana-538 14 21 generation generation NOUN cana-538 14 22 , , PUNCT cana-538 14 23 thermal thermal ADJ cana-538 14 24 radiation radiation NOUN cana-538 14 25 . . PUNCT cana-538 15 1 1 1 X cana-538 15 2 . . X cana-538 15 3 abstract abstract ADJ cana-538 15 4 this this DET cana-538 15 5 study study NOUN cana-538 15 6 investigates investigate VERB cana-538 15 7 the the DET cana-538 15 8 mechanical mechanical ADJ cana-538 15 9 characteristics characteristic NOUN cana-538 15 10 of of ADP cana-538 15 11 a a DET cana-538 15 12 hybrid hybrid ADJ cana-538 15 13 nanofluid nanofluid NOUN cana-538 15 14 containing contain VERB cana-538 15 15 dust dust NOUN cana-538 15 16 and and CCONJ cana-538 15 17 micropolar micropolar ADJ cana-538 15 18 particles particle NOUN cana-538 15 19 , , PUNCT cana-538 15 20 flowing flow VERB cana-538 15 21 under under ADP cana-538 15 22 mixed mixed ADJ cana-538 15 23 convection convection NOUN cana-538 15 24 past past ADP cana-538 15 25 a a DET cana-538 15 26 symmetric symmetric ADJ cana-538 15 27 riga riga PROPN cana-538 15 28 surface surface NOUN cana-538 15 29 using use VERB cana-538 15 30 the the DET cana-538 15 31 cattaneo cattaneo NOUN cana-538 15 32 - - PUNCT cana-538 15 33 christov christov INTJ cana-538 15 34 ( ( PUNCT cana-538 15 35 c c NOUN cana-538 15 36 - - PUNCT cana-538 15 37 c c NOUN cana-538 15 38 ) ) PUNCT cana-538 15 39 heat heat NOUN cana-538 15 40 flux flux NOUN cana-538 15 41 theory theory NOUN cana-538 15 42 with with ADP cana-538 15 43 consideration consideration NOUN cana-538 15 44 for for ADP cana-538 15 45 heat heat NOUN cana-538 15 46 generation generation NOUN cana-538 15 47 effects effect NOUN cana-538 15 48 . . PUNCT cana-538 16 1 the the DET cana-538 16 2 analysis analysis NOUN cana-538 16 3 focuses focus VERB cana-538 16 4 on on ADP cana-538 16 5 dust dust NOUN cana-538 16 6 micropolar micropolar NOUN cana-538 16 7 flow flow NOUN cana-538 16 8 within within ADP cana-538 16 9 a a DET cana-538 16 10 porous porous ADJ cana-538 16 11 medium medium NOUN cana-538 16 12 with with ADP cana-538 16 13 a a DET cana-538 16 14 communications communication NOUN cana-538 16 15 on on ADP cana-538 16 16 applied apply VERB cana-538 16 17 nonlinear nonlinear ADJ cana-538 16 18 analysis analysis NOUN cana-538 16 19 issn issn NOUN cana-538 16 20 : : PUNCT cana-538 16 21 1074 1074 NUM cana-538 16 22 - - PUNCT cana-538 16 23 133x 133x NUM cana-538 16 24 vol vol NOUN cana-538 16 25 31 31 NUM cana-538 16 26 no no NOUN cana-538 16 27 . . NOUN cana-538 16 28 2 2 NUM cana-538 16 29 ( ( PUNCT cana-538 16 30 2024 2024 NUM cana-538 16 31 ) ) PUNCT cana-538 16 32 224 224 NUM cana-538 16 33 https://internationalpubls.com https://internationalpubls.com X cana-538 16 34 combination combination NOUN cana-538 16 35 of of ADP cana-538 16 36 hybrid hybrid ADJ cana-538 16 37 nanoparticles nanoparticle NOUN cana-538 16 38 cnts cnt VERB cana-538 16 39 f𝑒3𝑂4 f𝑒3𝑂4 PROPN cana-538 16 40 with with ADP cana-538 16 41 blood blood NOUN cana-538 16 42 . . PUNCT cana-538 17 1 the the DET cana-538 17 2 mathematical mathematical ADJ cana-538 17 3 model model NOUN cana-538 17 4 describing describe VERB cana-538 17 5 this this DET cana-538 17 6 system system NOUN cana-538 17 7 involves involve VERB cana-538 17 8 a a DET cana-538 17 9 set set NOUN cana-538 17 10 of of ADP cana-538 17 11 partial partial ADJ cana-538 17 12 differential differential ADJ cana-538 17 13 equations equation NOUN cana-538 17 14 ( ( PUNCT cana-538 17 15 pdes pde NOUN cana-538 17 16 ) ) PUNCT cana-538 17 17 , , PUNCT cana-538 17 18 which which PRON cana-538 17 19 are be AUX cana-538 17 20 transformed transform VERB cana-538 17 21 into into ADP cana-538 17 22 dimensionless dimensionless ADJ cana-538 17 23 ordinary ordinary ADJ cana-538 17 24 differential differential ADJ cana-538 17 25 equations equation NOUN cana-538 17 26 ( ( PUNCT cana-538 17 27 odes ode NOUN cana-538 17 28 ) ) PUNCT cana-538 17 29 and and CCONJ cana-538 17 30 eventually eventually ADV cana-538 17 31 into into ADP cana-538 17 32 a a DET cana-538 17 33 form form NOUN cana-538 17 34 that that PRON cana-538 17 35 can can AUX cana-538 17 36 be be AUX cana-538 17 37 solved solve VERB cana-538 17 38 using use VERB cana-538 17 39 the the DET cana-538 17 40 matlab matlab PROPN cana-538 17 41 program program NOUN cana-538 17 42 . . PUNCT cana-538 18 1 graphical graphical ADJ cana-538 18 2 representations representation NOUN cana-538 18 3 are be AUX cana-538 18 4 employed employ VERB cana-538 18 5 to to PART cana-538 18 6 examine examine VERB cana-538 18 7 and and CCONJ cana-538 18 8 discuss discuss VERB cana-538 18 9 the the DET cana-538 18 10 impact impact NOUN cana-538 18 11 of of ADP cana-538 18 12 various various ADJ cana-538 18 13 flow flow NOUN cana-538 18 14 parameters parameter NOUN cana-538 18 15 on on ADP cana-538 18 16 the the DET cana-538 18 17 velocity velocity NOUN cana-538 18 18 and and CCONJ cana-538 18 19 temperature temperature NOUN cana-538 18 20 profiles profile NOUN cana-538 18 21 of of ADP cana-538 18 22 the the DET cana-538 18 23 dust dust NOUN cana-538 18 24 micropolar micropolar NOUN cana-538 18 25 hybrid hybrid ADJ cana-538 18 26 nanofluid nanofluid NOUN cana-538 18 27 . . PUNCT cana-538 19 1 several several ADJ cana-538 19 2 key key ADJ cana-538 19 3 findings finding NOUN cana-538 19 4 emerge emerge VERB cana-538 19 5 from from ADP cana-538 19 6 this this DET cana-538 19 7 investigation investigation NOUN cana-538 19 8 . . PUNCT cana-538 20 1 it it PRON cana-538 20 2 is be AUX cana-538 20 3 anticipated anticipate VERB cana-538 20 4 that that SCONJ cana-538 20 5 an an DET cana-538 20 6 increase increase NOUN cana-538 20 7 in in ADP cana-538 20 8 the the DET cana-538 20 9 interaction interaction NOUN cana-538 20 10 between between ADP cana-538 20 11 fluid fluid ADJ cana-538 20 12 particle particle NOUN cana-538 20 13 parameters parameter NOUN cana-538 20 14 will will AUX cana-538 20 15 result result VERB cana-538 20 16 in in ADP cana-538 20 17 a a DET cana-538 20 18 decrease decrease NOUN cana-538 20 19 in in ADP cana-538 20 20 the the DET cana-538 20 21 temperature temperature NOUN cana-538 20 22 of of ADP cana-538 20 23 the the DET cana-538 20 24 fluid fluid ADJ cana-538 20 25 phase phase NOUN cana-538 20 26 and and CCONJ cana-538 20 27 an an DET cana-538 20 28 increase increase NOUN cana-538 20 29 in in ADP cana-538 20 30 the the DET cana-538 20 31 temperature temperature NOUN cana-538 20 32 of of ADP cana-538 20 33 the the DET cana-538 20 34 dust dust NOUN cana-538 20 35 phase phase NOUN cana-538 20 36 . . PUNCT cana-538 21 1 moreover moreover ADV cana-538 21 2 , , PUNCT cana-538 21 3 the the DET cana-538 21 4 study study NOUN cana-538 21 5 reveals reveal VERB cana-538 21 6 that that SCONJ cana-538 21 7 the the DET cana-538 21 8 nusselt nusselt NOUN cana-538 21 9 number number NOUN cana-538 21 10 is be AUX cana-538 21 11 influenced influence VERB cana-538 21 12 by by ADP cana-538 21 13 the the DET cana-538 21 14 mixed mixed ADJ cana-538 21 15 convection convection NOUN cana-538 21 16 effects effect NOUN cana-538 21 17 . . PUNCT cana-538 22 1 additionally additionally ADV cana-538 22 2 , , PUNCT cana-538 22 3 larger large ADJ cana-538 22 4 values value NOUN cana-538 22 5 of of ADP cana-538 22 6 the the DET cana-538 22 7 heat heat NOUN cana-538 22 8 generation generation NOUN cana-538 22 9 parameter parameter NOUN cana-538 22 10 lead lead NOUN cana-538 22 11 to to ADP cana-538 22 12 higher high ADJ cana-538 22 13 temperatures temperature NOUN cana-538 22 14 in in ADP cana-538 22 15 both both CCONJ cana-538 22 16 the the DET cana-538 22 17 fluid fluid ADJ cana-538 22 18 phase phase NOUN cana-538 22 19 and and CCONJ cana-538 22 20 the the DET cana-538 22 21 dust dust NOUN cana-538 22 22 phase phase NOUN cana-538 22 23 . . PUNCT cana-538 23 1 2 2 X cana-538 23 2 . . X cana-538 23 3 introduction introduction NOUN cana-538 23 4 recently recently ADV cana-538 23 5 , , PUNCT cana-538 23 6 nanotechnology nanotechnology NOUN cana-538 23 7 has have AUX cana-538 23 8 been be AUX cana-538 23 9 widely widely ADV cana-538 23 10 used use VERB cana-538 23 11 in in ADP cana-538 23 12 therapeutic therapeutic ADJ cana-538 23 13 methods method NOUN cana-538 23 14 such such ADJ cana-538 23 15 as as ADP cana-538 23 16 the the DET cana-538 23 17 use use NOUN cana-538 23 18 of of ADP cana-538 23 19 polymeric polymeric ADJ cana-538 23 20 nanoparticles nanoparticle NOUN cana-538 23 21 , , PUNCT cana-538 23 22 silica silica NOUN cana-538 23 23 nanoparticles nanoparticle NOUN cana-538 23 24 , , PUNCT cana-538 23 25 gold gold NOUN cana-538 23 26 nanomaterials nanomaterial NOUN cana-538 23 27 , , PUNCT cana-538 23 28 magnetic magnetic ADJ cana-538 23 29 nanoparticles nanoparticle NOUN cana-538 23 30 , , PUNCT cana-538 23 31 and and CCONJ cana-538 23 32 nanotubes nanotube NOUN cana-538 23 33 ( ( PUNCT cana-538 23 34 cnts cnts PROPN cana-538 23 35 ) ) PUNCT cana-538 23 36 . . PUNCT cana-538 24 1 graphite graphite NOUN cana-538 24 2 tubes tube NOUN cana-538 24 3 with with ADP cana-538 24 4 diameters diameter NOUN cana-538 24 5 commonly commonly ADV cana-538 24 6 measured measure VERB cana-538 24 7 in in ADP cana-538 24 8 nano nano NOUN cana-538 24 9 - - PUNCT cana-538 24 10 meters meter NOUN cana-538 24 11 are be AUX cana-538 24 12 known know VERB cana-538 24 13 as as ADP cana-538 24 14 ( ( PUNCT cana-538 24 15 cnts cnts PROPN cana-538 24 16 ) ) PUNCT cana-538 24 17 . . PUNCT cana-538 25 1 there there PRON cana-538 25 2 are be VERB cana-538 25 3 two two NUM cana-538 25 4 kinds kind NOUN cana-538 25 5 of of ADP cana-538 25 6 carbon carbon NOUN cana-538 25 7 nanotubes nanotube NOUN cana-538 25 8 : : PUNCT cana-538 25 9 first first ADJ cana-538 25 10 kind kind ADV cana-538 25 11 multi multi ADJ cana-538 25 12 - - ADJ cana-538 25 13 wall wall ADJ cana-538 25 14 carbon carbon NOUN cana-538 25 15 nanotubes nanotube NOUN cana-538 25 16 ( ( PUNCT cana-538 25 17 mwcnts mwcnt NOUN cana-538 25 18 ) ) PUNCT cana-538 25 19 have have VERB cana-538 25 20 more more ADJ cana-538 25 21 than than ADP cana-538 25 22 one one NUM cana-538 25 23 grapheme grapheme ADJ cana-538 25 24 layer layer NOUN cana-538 25 25 and and CCONJ cana-538 25 26 are be AUX cana-538 25 27 seamless seamless ADJ cana-538 25 28 cylinders cylinder NOUN cana-538 25 29 of of ADP cana-538 25 30 carbon carbon NOUN cana-538 25 31 allotropes allotrope NOUN cana-538 25 32 with with ADP cana-538 25 33 a a DET cana-538 25 34 diameter diameter NOUN cana-538 25 35 of of ADP cana-538 25 36 5.0–20 5.0–20 PROPN cana-538 25 37 nm nm NOUN cana-538 25 38 . . PROPN cana-538 25 39 , , PUNCT cana-538 25 40 which which PRON cana-538 25 41 were be AUX cana-538 25 42 discovered discover VERB cana-538 25 43 by by ADP cana-538 25 44 researchers researcher NOUN cana-538 25 45 radushkevich radushkevich VERB cana-538 25 46 and and CCONJ cana-538 25 47 lukyanovich lukyanovich X cana-538 26 1 [ [ X cana-538 26 2 1 1 NUM cana-538 26 3 ] ] PUNCT cana-538 26 4 . . PUNCT cana-538 27 1 iijima iijima PROPN cana-538 27 2 's 's PART cana-538 27 3 seminal seminal ADJ cana-538 27 4 work work NOUN cana-538 27 5 on on ADP cana-538 27 6 helical helical ADJ cana-538 27 7 microtubules microtubule NOUN cana-538 27 8 of of ADP cana-538 27 9 graphitic graphitic ADJ cana-538 27 10 carbon carbon NOUN cana-538 27 11 in in ADP cana-538 27 12 1991 1991 NUM cana-538 27 13 expanded expand VERB cana-538 27 14 the the DET cana-538 27 15 understanding understanding NOUN cana-538 27 16 of of ADP cana-538 27 17 carbon carbon NOUN cana-538 27 18 nanostructures nanostructure NOUN cana-538 27 19 , , PUNCT cana-538 27 20 setting set VERB cana-538 27 21 the the DET cana-538 27 22 stage stage NOUN cana-538 27 23 for for ADP cana-538 27 24 their their PRON cana-538 27 25 diverse diverse ADJ cana-538 27 26 applications application NOUN cana-538 27 27 [ [ X cana-538 27 28 2 2 NUM cana-538 27 29 ] ] PUNCT cana-538 27 30 . . PUNCT cana-538 28 1 since since SCONJ cana-538 28 2 then then ADV cana-538 28 3 , , PUNCT cana-538 28 4 research research NOUN cana-538 28 5 has have AUX cana-538 28 6 extensively extensively ADV cana-538 28 7 explored explore VERB cana-538 28 8 the the DET cana-538 28 9 synthesis synthesis NOUN cana-538 28 10 , , PUNCT cana-538 28 11 properties property NOUN cana-538 28 12 , , PUNCT cana-538 28 13 and and CCONJ cana-538 28 14 applications application NOUN cana-538 28 15 of of ADP cana-538 28 16 cnts cnt NOUN cana-538 28 17 , , PUNCT cana-538 28 18 including include VERB cana-538 28 19 their their PRON cana-538 28 20 use use NOUN cana-538 28 21 in in ADP cana-538 28 22 nanofluids nanofluid NOUN cana-538 28 23 to to PART cana-538 28 24 improve improve VERB cana-538 28 25 thermal thermal ADJ cana-538 28 26 conductivity conductivity NOUN cana-538 28 27 , , PUNCT cana-538 28 28 as as SCONJ cana-538 28 29 demonstrated demonstrate VERB cana-538 28 30 by by ADP cana-538 28 31 murshd murshd PROPN cana-538 28 32 et et PROPN cana-538 28 33 al al PROPN cana-538 28 34 . . PUNCT cana-538 29 1 [ [ X cana-538 29 2 3 3 X cana-538 29 3 ] ] PUNCT cana-538 29 4 and and CCONJ cana-538 29 5 choi choi PROPN cana-538 29 6 et et PROPN cana-538 29 7 al al PROPN cana-538 29 8 . . PUNCT cana-538 30 1 [ [ X cana-538 30 2 7 7 NUM cana-538 30 3 ] ] PUNCT cana-538 30 4 . . PUNCT cana-538 31 1 moreover moreover ADV cana-538 31 2 , , PUNCT cana-538 31 3 the the DET cana-538 31 4 development development NOUN cana-538 31 5 of of ADP cana-538 31 6 hybrid hybrid NOUN cana-538 31 7 nanofluids nanofluid NOUN cana-538 31 8 , , PUNCT cana-538 31 9 combining combine VERB cana-538 31 10 different different ADJ cana-538 31 11 nanoparticles nanoparticle NOUN cana-538 31 12 to to PART cana-538 31 13 achieve achieve VERB cana-538 31 14 synergistic synergistic ADJ cana-538 31 15 effects effect NOUN cana-538 31 16 , , PUNCT cana-538 31 17 has have AUX cana-538 31 18 opened open VERB cana-538 31 19 new new ADJ cana-538 31 20 avenues avenue NOUN cana-538 31 21 for for ADP cana-538 31 22 enhancing enhance VERB cana-538 31 23 heat heat NOUN cana-538 31 24 transfer transfer NOUN cana-538 31 25 properties property NOUN cana-538 31 26 . . PUNCT cana-538 32 1 studies study NOUN cana-538 32 2 by by ADP cana-538 32 3 rahman rahman PROPN cana-538 32 4 et et PROPN cana-538 32 5 al al PROPN cana-538 32 6 . . PUNCT cana-538 33 1 [ [ X cana-538 33 2 14 14 NUM cana-538 33 3 ] ] PUNCT cana-538 33 4 and and CCONJ cana-538 33 5 khan khan PROPN cana-538 33 6 et et PROPN cana-538 33 7 al al PROPN cana-538 33 8 . . PUNCT cana-538 34 1 [ [ X cana-538 34 2 23 23 NUM cana-538 34 3 ] ] PUNCT cana-538 34 4 have have AUX cana-538 34 5 investigated investigate VERB cana-538 34 6 the the DET cana-538 34 7 thermal thermal ADJ cana-538 34 8 characteristics characteristic NOUN cana-538 34 9 of of ADP cana-538 34 10 hybrid hybrid NOUN cana-538 34 11 nanofluids nanofluid NOUN cana-538 34 12 , , PUNCT cana-538 34 13 revealing reveal VERB cana-538 34 14 their their PRON cana-538 34 15 potential potential NOUN cana-538 34 16 for for ADP cana-538 34 17 various various ADJ cana-538 34 18 applications application NOUN cana-538 34 19 . . PUNCT cana-538 35 1 additionally additionally ADV cana-538 35 2 , , PUNCT cana-538 35 3 the the DET cana-538 35 4 incorporation incorporation NOUN cana-538 35 5 of of ADP cana-538 35 6 magnetic magnetic ADJ cana-538 35 7 nanoparticles nanoparticle NOUN cana-538 35 8 , , PUNCT cana-538 35 9 such such ADJ cana-538 35 10 as as ADP cana-538 35 11 fe3o4 fe3o4 NOUN cana-538 35 12 , , PUNCT cana-538 35 13 in in ADP cana-538 35 14 nanofluids nanofluid NOUN cana-538 35 15 has have AUX cana-538 35 16 enabled enable VERB cana-538 35 17 precise precise ADJ cana-538 35 18 control control NOUN cana-538 35 19 over over ADP cana-538 35 20 fluid fluid ADJ cana-538 35 21 flow flow NOUN cana-538 35 22 and and CCONJ cana-538 35 23 heat heat NOUN cana-538 35 24 transfer transfer NOUN cana-538 35 25 , , PUNCT cana-538 35 26 as as SCONJ cana-538 35 27 demonstrated demonstrate VERB cana-538 35 28 by by ADP cana-538 35 29 manaa manaa PROPN cana-538 35 30 et et PROPN cana-538 35 31 al al PROPN cana-538 35 32 . . PUNCT cana-538 36 1 [ [ X cana-538 36 2 17 17 NUM cana-538 36 3 ] ] PUNCT cana-538 36 4 and and CCONJ cana-538 36 5 mehryan mehryan PROPN cana-538 36 6 et et PROPN cana-538 36 7 al al PROPN cana-538 36 8 . . PUNCT cana-538 37 1 [ [ X cana-538 37 2 18 18 NUM cana-538 37 3 ] ] PUNCT cana-538 37 4 . . PUNCT cana-538 38 1 in in ADP cana-538 38 2 parallel parallel NOUN cana-538 38 3 , , PUNCT cana-538 38 4 advancements advancement NOUN cana-538 38 5 in in ADP cana-538 38 6 fluid fluid ADJ cana-538 38 7 dynamics dynamic NOUN cana-538 38 8 have have AUX cana-538 38 9 led lead VERB cana-538 38 10 to to ADP cana-538 38 11 the the DET cana-538 38 12 exploration exploration NOUN cana-538 38 13 of of ADP cana-538 38 14 complex complex ADJ cana-538 38 15 flow flow NOUN cana-538 38 16 phenomena phenomenon NOUN cana-538 38 17 over over ADP cana-538 38 18 surfaces surface NOUN cana-538 38 19 with with ADP cana-538 38 20 specific specific ADJ cana-538 38 21 geometries geometry NOUN cana-538 38 22 , , PUNCT cana-538 38 23 such such ADJ cana-538 38 24 as as ADP cana-538 38 25 the the DET cana-538 38 26 riga riga PROPN cana-538 38 27 surface surface NOUN cana-538 38 28 . . PUNCT cana-538 39 1 this this DET cana-538 39 2 surface surface NOUN cana-538 39 3 , , PUNCT cana-538 39 4 introduced introduce VERB cana-538 39 5 by by ADP cana-538 39 6 gailitis gailitis PROPN cana-538 39 7 in in ADP cana-538 39 8 1961 1961 NUM cana-538 39 9 [ [ X cana-538 39 10 37 37 NUM cana-538 39 11 ] ] PUNCT cana-538 39 12 , , PUNCT cana-538 39 13 offers offer VERB cana-538 39 14 unique unique ADJ cana-538 39 15 flow flow NOUN cana-538 39 16 characteristics characteristic NOUN cana-538 39 17 that that PRON cana-538 39 18 influence influence NOUN cana-538 39 19 heat heat NOUN cana-538 39 20 transfer transfer NOUN cana-538 39 21 processes process NOUN cana-538 39 22 . . PUNCT cana-538 40 1 recent recent ADJ cana-538 40 2 studies study NOUN cana-538 40 3 by by ADP cana-538 40 4 abbas abbas PROPN cana-538 40 5 et et PROPN cana-538 40 6 al al PROPN cana-538 40 7 . . PUNCT cana-538 41 1 [ [ X cana-538 41 2 41 41 NUM cana-538 41 3 ] ] PUNCT cana-538 41 4 and and CCONJ cana-538 41 5 islam islam PROPN cana-538 41 6 et et PROPN cana-538 41 7 al al PROPN cana-538 41 8 . . PUNCT cana-538 42 1 [ [ X cana-538 42 2 43 43 NUM cana-538 42 3 ] ] PUNCT cana-538 42 4 have have AUX cana-538 42 5 investigated investigate VERB cana-538 42 6 the the DET cana-538 42 7 flow flow NOUN cana-538 42 8 of of ADP cana-538 42 9 micropolar micropolar ADJ cana-538 42 10 fluids fluid NOUN cana-538 42 11 over over ADP cana-538 42 12 riga riga ADJ cana-538 42 13 surfaces surface NOUN cana-538 42 14 , , PUNCT cana-538 42 15 shedding shed VERB cana-538 42 16 light light NOUN cana-538 42 17 on on ADP cana-538 42 18 the the DET cana-538 42 19 underlying underlie VERB cana-538 42 20 mechanisms mechanism NOUN cana-538 42 21 governing govern VERB cana-538 42 22 these these DET cana-538 42 23 flows flow NOUN cana-538 42 24 . . PUNCT cana-538 43 1 the the DET cana-538 43 2 primary primary ADJ cana-538 43 3 objective objective NOUN cana-538 43 4 of of ADP cana-538 43 5 this this DET cana-538 43 6 study study NOUN cana-538 43 7 is be AUX cana-538 43 8 to to PART cana-538 43 9 investigate investigate VERB cana-538 43 10 two two NUM cana-538 43 11 - - PUNCT cana-538 43 12 dimensional dimensional ADJ cana-538 43 13 , , PUNCT cana-538 43 14 incompressible incompressible ADJ cana-538 43 15 dust dust NOUN cana-538 43 16 micropolar micropolar NOUN cana-538 43 17 flow flow NOUN cana-538 43 18 within within ADP cana-538 43 19 a a DET cana-538 43 20 porous porous ADJ cana-538 43 21 medium medium NOUN cana-538 43 22 , , PUNCT cana-538 43 23 focusing focus VERB cana-538 43 24 on on ADP cana-538 43 25 the the DET cana-538 43 26 flow flow NOUN cana-538 43 27 over over ADP cana-538 43 28 a a DET cana-538 43 29 symmetric symmetric ADJ cana-538 43 30 riga riga ADJ cana-538 43 31 plate plate NOUN cana-538 43 32 . . PUNCT cana-538 44 1 blood blood NOUN cana-538 44 2 serves serve VERB cana-538 44 3 as as ADP cana-538 44 4 the the DET cana-538 44 5 base base NOUN cana-538 44 6 liquid liquid NOUN cana-538 44 7 , , PUNCT cana-538 44 8 with with ADP cana-538 44 9 hybrid hybrid ADJ cana-538 44 10 nanoparticles nanoparticle NOUN cana-538 44 11 consisting consist VERB cana-538 44 12 of of ADP cana-538 44 13 carbon carbon NOUN cana-538 44 14 nanotubes nanotube NOUN cana-538 44 15 ( ( PUNCT cana-538 44 16 cnts cnt NOUN cana-538 44 17 ) ) PUNCT cana-538 44 18 and and CCONJ cana-538 44 19 fe3o4 fe3o4 PROPN cana-538 44 20 incorporated incorporate VERB cana-538 44 21 into into ADP cana-538 44 22 the the DET cana-538 44 23 fluid fluid NOUN cana-538 44 24 . . PUNCT cana-538 45 1 the the DET cana-538 45 2 analysis analysis NOUN cana-538 45 3 considers consider VERB cana-538 45 4 various various ADJ cana-538 45 5 factors factor NOUN cana-538 45 6 , , PUNCT cana-538 45 7 including include VERB cana-538 45 8 heat heat NOUN cana-538 45 9 generation generation NOUN cana-538 45 10 , , PUNCT cana-538 45 11 thermal thermal ADJ cana-538 45 12 radiation radiation NOUN cana-538 45 13 , , PUNCT cana-538 45 14 and and CCONJ cana-538 45 15 mixed mixed ADJ cana-538 45 16 convection convection NOUN cana-538 45 17 effects effect NOUN cana-538 45 18 . . PUNCT cana-538 46 1 notably notably ADV cana-538 46 2 , , PUNCT cana-538 46 3 the the DET cana-538 46 4 cattaneo cattaneo NOUN cana-538 46 5 - - PUNCT cana-538 46 6 christov christov INTJ cana-538 46 7 ( ( PUNCT cana-538 46 8 c c NOUN cana-538 46 9 - - PUNCT cana-538 46 10 c c NOUN cana-538 46 11 ) ) PUNCT cana-538 46 12 heat heat NOUN cana-538 46 13 flux flux NOUN cana-538 46 14 theory theory NOUN cana-538 46 15 is be AUX cana-538 46 16 employed employ VERB cana-538 46 17 to to PART cana-538 46 18 formulate formulate VERB cana-538 46 19 the the DET cana-538 46 20 energy energy NOUN cana-538 46 21 and and CCONJ cana-538 46 22 mass mass NOUN cana-538 46 23 communications communication NOUN cana-538 46 24 on on ADP cana-538 46 25 applied apply VERB cana-538 46 26 nonlinear nonlinear ADJ cana-538 46 27 analysis analysis NOUN cana-538 46 28 issn issn NOUN cana-538 46 29 : : PUNCT cana-538 46 30 1074 1074 NUM cana-538 46 31 - - PUNCT cana-538 46 32 133x 133x NUM cana-538 46 33 vol vol NOUN cana-538 46 34 31 31 NUM cana-538 46 35 no no NOUN cana-538 46 36 . . NOUN cana-538 46 37 2 2 NUM cana-538 46 38 ( ( PUNCT cana-538 46 39 2024 2024 NUM cana-538 46 40 ) ) PUNCT cana-538 46 41 225 225 NUM cana-538 46 42 https://internationalpubls.com https://internationalpubls.com X cana-538 46 43 equations equation NOUN cana-538 46 44 governing govern VERB cana-538 46 45 the the DET cana-538 46 46 flow flow NOUN cana-538 46 47 . . PUNCT cana-538 47 1 through through ADP cana-538 47 2 the the DET cana-538 47 3 use use NOUN cana-538 47 4 of of ADP cana-538 47 5 tables table NOUN cana-538 47 6 , , PUNCT cana-538 47 7 charts chart NOUN cana-538 47 8 , , PUNCT cana-538 47 9 and and CCONJ cana-538 47 10 figures figure NOUN cana-538 47 11 , , PUNCT cana-538 47 12 the the DET cana-538 47 13 study study NOUN cana-538 47 14 explores explore VERB cana-538 47 15 the the DET cana-538 47 16 influence influence NOUN cana-538 47 17 of of ADP cana-538 47 18 key key ADJ cana-538 47 19 parameters parameter NOUN cana-538 47 20 on on ADP cana-538 47 21 velocity velocity NOUN cana-538 47 22 , , PUNCT cana-538 47 23 temperature temperature NOUN cana-538 47 24 , , PUNCT cana-538 47 25 hybrid hybrid ADJ cana-538 47 26 nanofluid nanofluid ADJ cana-538 47 27 concentration concentration NOUN cana-538 47 28 , , PUNCT cana-538 47 29 local local ADJ cana-538 47 30 skin skin NOUN cana-538 47 31 friction friction NOUN cana-538 47 32 , , PUNCT cana-538 47 33 and and CCONJ cana-538 47 34 local local ADJ cana-538 47 35 nusselt nusselt NOUN cana-538 47 36 number number NOUN cana-538 47 37 , , PUNCT cana-538 47 38 providing provide VERB cana-538 47 39 insights insight NOUN cana-538 47 40 into into ADP cana-538 47 41 the the DET cana-538 47 42 complex complex ADJ cana-538 47 43 interactions interaction NOUN cana-538 47 44 within within ADP cana-538 47 45 the the DET cana-538 47 46 system system NOUN cana-538 47 47 . . PUNCT cana-538 48 1 3 3 X cana-538 48 2 . . X cana-538 48 3 objectives objective VERB cana-538 48 4 this this DET cana-538 48 5 paper paper NOUN cana-538 48 6 aims aim VERB cana-538 48 7 to to PART cana-538 48 8 address address VERB cana-538 48 9 several several ADJ cana-538 48 10 objectives objective NOUN cana-538 48 11 . . PUNCT cana-538 49 1 firstly firstly ADV cana-538 49 2 , , PUNCT cana-538 49 3 it it PRON cana-538 49 4 investigates investigate VERB cana-538 49 5 the the DET cana-538 49 6 behavior behavior NOUN cana-538 49 7 of of ADP cana-538 49 8 twodimensional twodimensional ADJ cana-538 49 9 , , PUNCT cana-538 49 10 incompressible incompressible ADJ cana-538 49 11 dust dust NOUN cana-538 49 12 micropolar micropolar NOUN cana-538 49 13 flow flow NOUN cana-538 49 14 adjacent adjacent ADJ cana-538 49 15 to to ADP cana-538 49 16 a a DET cana-538 49 17 symmetric symmetric ADJ cana-538 49 18 riga riga ADJ cana-538 49 19 plate plate NOUN cana-538 49 20 . . PUNCT cana-538 50 1 secondly secondly ADV cana-538 50 2 , , PUNCT cana-538 50 3 it it PRON cana-538 50 4 explores explore VERB cana-538 50 5 the the DET cana-538 50 6 implications implication NOUN cana-538 50 7 of of ADP cana-538 50 8 using use VERB cana-538 50 9 blood blood NOUN cana-538 50 10 as as ADP cana-538 50 11 the the DET cana-538 50 12 base base NOUN cana-538 50 13 liquid liquid NOUN cana-538 50 14 and and CCONJ cana-538 50 15 incorporating incorporate VERB cana-538 50 16 hybrid hybrid ADJ cana-538 50 17 nanoparticles nanoparticle NOUN cana-538 50 18 , , PUNCT cana-538 50 19 specifically specifically ADV cana-538 50 20 carbon carbon NOUN cana-538 50 21 nanotubes nanotube NOUN cana-538 50 22 ( ( PUNCT cana-538 50 23 cnts cnt NOUN cana-538 50 24 ) ) PUNCT cana-538 50 25 and and CCONJ cana-538 50 26 fe3o4 fe3o4 PROPN cana-538 50 27 , , PUNCT cana-538 50 28 into into ADP cana-538 50 29 the the DET cana-538 50 30 fluid fluid ADJ cana-538 50 31 medium medium NOUN cana-538 50 32 . . PUNCT cana-538 51 1 thirdly thirdly ADV cana-538 51 2 , , PUNCT cana-538 51 3 the the DET cana-538 51 4 study study NOUN cana-538 51 5 delves delve VERB cana-538 51 6 into into ADP cana-538 51 7 the the DET cana-538 51 8 effects effect NOUN cana-538 51 9 of of ADP cana-538 51 10 various various ADJ cana-538 51 11 factors factor NOUN cana-538 51 12 such such ADJ cana-538 51 13 as as ADP cana-538 51 14 heat heat NOUN cana-538 51 15 generation generation NOUN cana-538 51 16 , , PUNCT cana-538 51 17 thermal thermal ADJ cana-538 51 18 radiation radiation NOUN cana-538 51 19 , , PUNCT cana-538 51 20 and and CCONJ cana-538 51 21 mixed mixed ADJ cana-538 51 22 convection convection NOUN cana-538 51 23 on on ADP cana-538 51 24 the the DET cana-538 51 25 flow flow NOUN cana-538 51 26 dynamics dynamic NOUN cana-538 51 27 . . PUNCT cana-538 52 1 additionally additionally ADV cana-538 52 2 , , PUNCT cana-538 52 3 the the DET cana-538 52 4 paper paper NOUN cana-538 52 5 employs employ VERB cana-538 52 6 the the DET cana-538 52 7 cattaneo cattaneo NOUN cana-538 52 8 - - PUNCT cana-538 52 9 christov christov INTJ cana-538 52 10 ( ( PUNCT cana-538 52 11 c c NOUN cana-538 52 12 - - PUNCT cana-538 52 13 c c NOUN cana-538 52 14 ) ) PUNCT cana-538 52 15 heat heat NOUN cana-538 52 16 flux flux NOUN cana-538 52 17 theory theory NOUN cana-538 52 18 to to PART cana-538 52 19 formulate formulate VERB cana-538 52 20 energy energy NOUN cana-538 52 21 and and CCONJ cana-538 52 22 mass mass ADJ cana-538 52 23 equations equation NOUN cana-538 52 24 governing govern VERB cana-538 52 25 the the DET cana-538 52 26 flow flow NOUN cana-538 52 27 , , PUNCT cana-538 52 28 offering offer VERB cana-538 52 29 insights insight NOUN cana-538 52 30 into into ADP cana-538 52 31 the the DET cana-538 52 32 thermal thermal ADJ cana-538 52 33 characteristics characteristic NOUN cana-538 52 34 of of ADP cana-538 52 35 the the DET cana-538 52 36 system system NOUN cana-538 52 37 . . PUNCT cana-538 53 1 lastly lastly ADV cana-538 53 2 , , PUNCT cana-538 53 3 through through ADP cana-538 53 4 the the DET cana-538 53 5 utilization utilization NOUN cana-538 53 6 of of ADP cana-538 53 7 tables table NOUN cana-538 53 8 , , PUNCT cana-538 53 9 charts chart NOUN cana-538 53 10 , , PUNCT cana-538 53 11 and and CCONJ cana-538 53 12 figures figure NOUN cana-538 53 13 , , PUNCT cana-538 53 14 the the DET cana-538 53 15 research research NOUN cana-538 53 16 aims aim VERB cana-538 53 17 to to PART cana-538 53 18 elucidate elucidate VERB cana-538 53 19 the the DET cana-538 53 20 influence influence NOUN cana-538 53 21 of of ADP cana-538 53 22 key key ADJ cana-538 53 23 parameters parameter NOUN cana-538 53 24 like like ADP cana-538 53 25 velocity velocity NOUN cana-538 53 26 , , PUNCT cana-538 53 27 temperature temperature NOUN cana-538 53 28 , , PUNCT cana-538 53 29 hybrid hybrid ADJ cana-538 53 30 nanofluid nanofluid ADJ cana-538 53 31 concentration concentration NOUN cana-538 53 32 , , PUNCT cana-538 53 33 local local ADJ cana-538 53 34 skin skin NOUN cana-538 53 35 friction friction NOUN cana-538 53 36 , , PUNCT cana-538 53 37 and and CCONJ cana-538 53 38 local local ADJ cana-538 53 39 nusselt nusselt NOUN cana-538 53 40 number number NOUN cana-538 53 41 , , PUNCT cana-538 53 42 facilitating facilitate VERB cana-538 53 43 a a DET cana-538 53 44 comprehensive comprehensive ADJ cana-538 53 45 understanding understanding NOUN cana-538 53 46 of of ADP cana-538 53 47 the the DET cana-538 53 48 flow flow NOUN cana-538 53 49 behavior behavior NOUN cana-538 53 50 and and CCONJ cana-538 53 51 its its PRON cana-538 53 52 underlying underlie VERB cana-538 53 53 mechanisms mechanism NOUN cana-538 53 54 . . PUNCT cana-538 54 1 4 4 X cana-538 54 2 . . X cana-538 54 3 problem problem NOUN cana-538 54 4 formulation formulation NOUN cana-538 54 5 consider consider VERB cana-538 54 6 the the DET cana-538 54 7 problem problem NOUN cana-538 54 8 of of ADP cana-538 54 9 two two NUM cana-538 54 10 - - PUNCT cana-538 54 11 phase phase NOUN cana-538 54 12 , , PUNCT cana-538 54 13 2d 2d X cana-538 54 14 steady steady ADJ cana-538 54 15 laminar laminar ADJ cana-538 54 16 flow flow NOUN cana-538 54 17 and and CCONJ cana-538 54 18 heat heat NOUN cana-538 54 19 transfer transfer NOUN cana-538 54 20 in in ADP cana-538 54 21 a a DET cana-538 54 22 micropolar micropolar ADJ cana-538 54 23 dusty dusty ADJ cana-538 54 24 fluid fluid NOUN cana-538 54 25 embedded embed VERB cana-538 54 26 in in ADP cana-538 54 27 a a DET cana-538 54 28 porous porous ADJ cana-538 54 29 vertical vertical ADJ cana-538 54 30 riga riga PROPN cana-538 54 31 surface surface NOUN cana-538 54 32 . . PUNCT cana-538 55 1 figure figure NOUN cana-538 55 2 2 2 NUM cana-538 55 3 shows show VERB cana-538 55 4 a a DET cana-538 55 5 theoretical theoretical ADJ cana-538 55 6 and and CCONJ cana-538 55 7 numerical numerical ADJ cana-538 55 8 examination examination NOUN cana-538 55 9 of of ADP cana-538 55 10 shaped shape VERB cana-538 55 11 hybrid hybrid ADJ cana-538 55 12 nanofluid nanofluid ADJ cana-538 55 13 flow flow NOUN cana-538 55 14 with with ADP cana-538 55 15 attendance attendance NOUN cana-538 55 16 of of ADP cana-538 55 17 linear linear ADJ cana-538 55 18 thermal thermal ADJ cana-538 55 19 radiation radiation NOUN cana-538 55 20 and and CCONJ cana-538 55 21 heat heat NOUN cana-538 55 22 generation generation NOUN cana-538 55 23 effects effect NOUN cana-538 55 24 using use VERB cana-538 55 25 the the DET cana-538 55 26 c c PROPN cana-538 55 27 - - PUNCT cana-538 55 28 c c PROPN cana-538 55 29 heat heat NOUN cana-538 55 30 flux flux PROPN cana-538 55 31 model model PROPN cana-538 55 32 . . PUNCT cana-538 56 1 figure figure VERB cana-538 56 2 1 1 NUM cana-538 56 3 : : PUNCT cana-538 56 4 riga riga ADJ cana-538 56 5 plate plate NOUN cana-538 56 6 geometry geometry NOUN cana-538 56 7 . . PUNCT cana-538 57 1 communications communication NOUN cana-538 57 2 on on ADP cana-538 57 3 applied apply VERB cana-538 57 4 nonlinear nonlinear ADJ cana-538 57 5 analysis analysis NOUN cana-538 57 6 issn issn NOUN cana-538 57 7 : : PUNCT cana-538 57 8 1074 1074 NUM cana-538 57 9 - - PUNCT cana-538 57 10 133x 133x NUM cana-538 57 11 vol vol NOUN cana-538 57 12 31 31 NUM cana-538 57 13 no no NOUN cana-538 57 14 . . NOUN cana-538 57 15 2 2 NUM cana-538 57 16 ( ( PUNCT cana-538 57 17 2024 2024 NUM cana-538 57 18 ) ) PUNCT cana-538 57 19 226 226 NUM cana-538 57 20 https://internationalpubls.com https://internationalpubls.com X cana-538 57 21 figure figure NOUN cana-538 57 22 2 2 NUM cana-538 57 23 : : PUNCT cana-538 57 24 flow flow NOUN cana-538 57 25 configuration configuration NOUN cana-538 57 26 and and CCONJ cana-538 57 27 coordinate coordinate NOUN cana-538 57 28 system system NOUN cana-538 57 29 . . PUNCT cana-538 58 1 we we PRON cana-538 58 2 have have AUX cana-538 58 3 considered consider VERB cana-538 58 4 velocity velocity NOUN cana-538 58 5 and and CCONJ cana-538 58 6 temperature temperature NOUN cana-538 58 7 in in ADP cana-538 58 8 the the DET cana-538 58 9 x x ADJ cana-538 58 10 - - ADJ cana-538 58 11 y y ADJ cana-538 58 12 coordinate coordinate NOUN cana-538 58 13 system system NOUN cana-538 58 14 in in ADP cana-538 58 15 cartesian cartesian ADJ cana-538 58 16 coordinates coordinate NOUN cana-538 58 17 , , PUNCT cana-538 58 18 are be AUX cana-538 58 19 the the DET cana-538 58 20 denote denote NOUN cana-538 58 21 velocity velocity NOUN cana-538 58 22 is be AUX cana-538 58 23 π‘’βˆž= π‘’βˆž= ADJ cana-538 58 24 cx cx NOUN cana-538 58 25 and and CCONJ cana-538 58 26 temperature temperature NOUN cana-538 58 27 is be AUX cana-538 58 28 𝑇𝑀(x)=π‘‡βˆž+bx 𝑇𝑀(x)=π‘‡βˆž+bx NUM cana-538 58 29 with with ADP cana-538 58 30 𝑇𝑀(x 𝑇𝑀(x PROPN cana-538 58 31 ) ) PUNCT cana-538 58 32 > > X cana-538 59 1 π‘‡βˆž π‘‡βˆž PROPN cana-538 59 2 , , PUNCT cana-538 59 3 respectively respectively ADV cana-538 59 4 , , PUNCT cana-538 59 5 in in ADP cana-538 59 6 this this DET cana-538 59 7 context context NOUN cana-538 59 8 , , PUNCT cana-538 59 9 the the DET cana-538 59 10 coordinate coordinate NOUN cana-538 59 11 system system NOUN cana-538 59 12 considers consider VERB cana-538 59 13 the the DET cana-538 59 14 direction direction NOUN cana-538 59 15 of of ADP cana-538 59 16 x x PUNCT cana-538 59 17 along along ADP cana-538 59 18 the the DET cana-538 59 19 riga riga PROPN cana-538 59 20 's 's PART cana-538 59 21 surface surface NOUN cana-538 59 22 , , PUNCT cana-538 59 23 while while SCONJ cana-538 59 24 y y PROPN cana-538 59 25 represents represent VERB cana-538 59 26 the the DET cana-538 59 27 direction direction NOUN cana-538 59 28 normal normal ADJ cana-538 59 29 to to ADP cana-538 59 30 it it PRON cana-538 59 31 . . PUNCT cana-538 60 1 , , PUNCT cana-538 60 2 π‘‡βˆž,b π‘‡βˆž,b PROPN cana-538 60 3 and and CCONJ cana-538 60 4 c c PROPN cana-538 60 5 represent represent VERB cana-538 60 6 the the DET cana-538 60 7 ambient ambient ADJ cana-538 60 8 temperature temperature NOUN cana-538 60 9 and and CCONJ cana-538 60 10 positive positive ADJ cana-538 60 11 constants constant NOUN cana-538 60 12 , , PUNCT cana-538 60 13 respectively respectively ADV cana-538 60 14 . . PUNCT cana-538 61 1 the the DET cana-538 61 2 vector vector NOUN cana-538 61 3 representations representation NOUN cana-538 61 4 of of ADP cana-538 61 5 the the DET cana-538 61 6 governing govern VERB cana-538 61 7 equations equation NOUN cana-538 61 8 for for ADP cana-538 61 9 a a DET cana-538 61 10 motion motion NOUN cana-538 61 11 micropolar micropolar ADJ cana-538 61 12 flow flow NOUN cana-538 61 13 and and CCONJ cana-538 61 14 dust dust NOUN cana-538 61 15 flow flow VERB cana-538 61 16 with with ADP cana-538 61 17 spherical spherical ADJ cana-538 61 18 properties property NOUN cana-538 61 19 are be AUX cana-538 61 20 as as SCONJ cana-538 61 21 follows follow VERB cana-538 61 22 : : PUNCT cana-538 62 1 4.1 4.1 NUM cana-538 62 2 micropolar micropolar ADJ cana-538 62 3 fluid fluid ADJ cana-538 62 4 βˆ‡. βˆ‡. NOUN cana-538 62 5 v v NOUN cana-538 62 6 = = SYM cana-538 62 7 0 0 NUM cana-538 62 8 , , PUNCT cana-538 62 9 ( ( PUNCT cana-538 62 10 1 1 X cana-538 62 11 ) ) PUNCT cana-538 62 12 πœŒβ„Žπ‘›π‘“(v πœŒβ„Žπ‘›π‘“(v NOUN cana-538 62 13 . . PUNCT cana-538 62 14 βˆ‡)v βˆ‡)v PROPN cana-538 62 15 = = PRON cana-538 62 16 ( ( PUNCT cana-538 62 17 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ NOUN cana-538 62 18 + + CCONJ cana-538 62 19 k)βˆ‡ k)βˆ‡ PROPN cana-538 62 20 2v 2v PROPN cana-538 62 21 + + CCONJ cana-538 62 22 k(βˆ‡ k(βˆ‡ PROPN cana-538 62 23 Γ— Γ— PROPN cana-538 62 24 𝑁 𝑁 PROPN cana-538 62 25 ) ) PUNCT cana-538 62 26 + + NOUN cana-538 62 27 π‘˜βˆ—π‘ (𝑒𝑝 π‘˜βˆ—π‘ (𝑒𝑝 NOUN cana-538 62 28 βˆ’ βˆ’ NUM cana-538 62 29 u u NOUN cana-538 62 30 ) ) PUNCT cana-538 62 31 βˆ’ βˆ’ NOUN cana-538 62 32 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ NOUN cana-538 62 33 𝐾𝑝 𝐾𝑝 PROPN cana-538 62 34 𝑒 𝑒 PROPN cana-538 62 35 + + NOUN cana-538 62 36 π‘”π›½β„Žπ‘›π‘“(𝑇 π‘”π›½β„Žπ‘›π‘“(𝑇 NOUN cana-538 62 37 βˆ’ βˆ’ PROPN cana-538 62 38 π‘‡βˆž π‘‡βˆž PROPN cana-538 62 39 ) ) PUNCT cana-538 63 1 + + CCONJ cana-538 63 2 𝑓 𝑓 X cana-538 63 3 , , PUNCT cana-538 63 4 ( ( PUNCT cana-538 63 5 2 2 X cana-538 63 6 ) ) PUNCT cana-538 63 7 π‘—πœŒβ„Žπ‘›π‘“(v π‘—πœŒβ„Žπ‘›π‘“(v NOUN cana-538 63 8 . . PUNCT cana-538 64 1 βˆ‡)𝑁 βˆ‡)𝑁 PROPN cana-538 65 1 = = PUNCT cana-538 65 2 j j PROPN cana-538 65 3 ( ( PUNCT cana-538 65 4 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ NOUN cana-538 65 5 + + CCONJ cana-538 65 6 k k PROPN cana-538 65 7 2 2 X cana-538 65 8 ) ) PUNCT cana-538 65 9 βˆ‡2n βˆ‡2n VERB cana-538 66 1 + + NUM cana-538 66 2 π‘˜(βˆ‡ π‘˜(βˆ‡ PROPN cana-538 66 3 Γ— Γ— NOUN cana-538 66 4 v v NOUN cana-538 66 5 ) ) PUNCT cana-538 66 6 βˆ’ βˆ’ ADP cana-538 66 7 2kn 2kn ADV cana-538 66 8 , , PUNCT cana-538 66 9 ( ( PUNCT cana-538 66 10 3 3 X cana-538 66 11 ) ) PUNCT cana-538 66 12 ( ( PUNCT cana-538 66 13 πœŒπ‘π‘)β„Žπ‘›π‘“(v πœŒπ‘π‘)β„Žπ‘›π‘“(v NOUN cana-538 66 14 . . PUNCT cana-538 67 1 βˆ‡)𝑇 βˆ‡)𝑇 VERB cana-538 68 1 + + PUNCT cana-538 69 1 βˆ‡π‘ž βˆ‡π‘ž ADJ cana-538 69 2 π‘Ÿ π‘Ÿ NOUN cana-538 69 3 βˆ’ βˆ’ PROPN cana-538 70 1 [ [ X cana-538 70 2 𝑄0(𝑇 𝑄0(𝑇 PROPN cana-538 70 3 βˆ’ βˆ’ PROPN cana-538 70 4 π‘‡βˆž π‘‡βˆž PROPN cana-538 70 5 ) ) PUNCT cana-538 71 1 + + CCONJ cana-538 71 2 πœŒπ‘(𝑐𝑝)𝑓 πœŒπ‘(𝑐𝑝)𝑓 PROPN cana-538 71 3 πœπ‘‡ πœπ‘‡ NOUN cana-538 71 4 ( ( PUNCT cana-538 71 5 𝑇𝑝 𝑇𝑝 VERB cana-538 71 6 βˆ’ βˆ’ PROPN cana-538 71 7 t t PROPN cana-538 71 8 ) ) PUNCT cana-538 71 9 + + CCONJ cana-538 71 10 πœŒπ‘ πœŒπ‘ X cana-538 71 11 πœπ‘£ πœπ‘£ X cana-538 71 12 ( ( PUNCT cana-538 71 13 𝑒𝑝 𝑒𝑝 NOUN cana-538 71 14 βˆ’ βˆ’ PROPN cana-538 71 15 u u NOUN cana-538 71 16 ) ) PUNCT cana-538 71 17 2 2 NUM cana-538 71 18 ] ] PUNCT cana-538 71 19 = = PUNCT cana-538 71 20 βˆ’βˆ‡. βˆ’βˆ‡. PROPN cana-538 71 21 q̌. q̌. PROPN cana-538 71 22 ( ( PUNCT cana-538 71 23 4 4 NUM cana-538 71 24 ) ) PUNCT cana-538 71 25 where where SCONJ cana-538 71 26 q̌ q̌ PROPN cana-538 71 27 is be AUX cana-538 71 28 heat heat NOUN cana-538 71 29 flux flux NOUN cana-538 71 30 . . PUNCT cana-538 72 1 the the DET cana-538 72 2 cattaneo cattaneo ADJ cana-538 72 3 - - PUNCT cana-538 72 4 christov christov NOUN cana-538 72 5 expression expression NOUN cana-538 72 6 ( ( PUNCT cana-538 72 7 c c NOUN cana-538 72 8 - - PUNCT cana-538 72 9 c c NOUN cana-538 72 10 ) ) PUNCT cana-538 72 11 for for ADP cana-538 72 12 heat heat NOUN cana-538 72 13 flux flux NOUN cana-538 72 14 is be AUX cana-538 72 15 given give VERB cana-538 72 16 as as ADP cana-538 72 17 q̌ q̌ PROPN cana-538 72 18 + + NUM cana-538 72 19 𝛾𝑑(v 𝛾𝑑(v NOUN cana-538 72 20 . . PUNCT cana-538 73 1 βˆ‡q̌ βˆ‡q̌ ADJ cana-538 73 2 βˆ’ βˆ’ PROPN cana-538 73 3 q̌. q̌. ADJ cana-538 73 4 βˆ‡v βˆ‡v PROPN cana-538 73 5 ) ) PUNCT cana-538 74 1 = = PUNCT cana-538 74 2 βˆ’π‘˜β„Žπ‘›π‘“βˆ‡t βˆ’π‘˜β„Žπ‘›π‘“βˆ‡t X cana-538 74 3 where where SCONJ cana-538 74 4 𝛾𝑑 𝛾𝑑 PROPN cana-538 74 5 represents represent VERB cana-538 74 6 thermal thermal ADJ cana-538 74 7 relaxation relaxation NOUN cana-538 74 8 time time NOUN cana-538 74 9 , , PUNCT cana-538 74 10 v v NOUN cana-538 74 11 signifies signify VERB cana-538 74 12 velocity velocity NOUN cana-538 74 13 , , PUNCT cana-538 74 14 𝑓 𝑓 PRON cana-538 74 15 the the DET cana-538 74 16 lorentz lorentz PROPN cana-538 74 17 force force NOUN cana-538 74 18 . . PUNCT cana-538 75 1 4.2 4.2 NUM cana-538 75 2 dust dust NOUN cana-538 75 3 fluid fluid NOUN cana-538 75 4 βˆ‡. βˆ‡. NOUN cana-538 75 5 v𝑝 v𝑝 NOUN cana-538 75 6 = = NOUN cana-538 75 7 0 0 PROPN cana-538 75 8 , , PUNCT cana-538 75 9 ( ( PUNCT cana-538 75 10 5 5 X cana-538 75 11 ) ) PUNCT cana-538 75 12 πœŒπ‘(v𝑝. πœŒπ‘(v𝑝. NOUN cana-538 75 13 βˆ‡)v𝑝 βˆ‡)v𝑝 PROPN cana-538 75 14 = = SYM cana-538 75 15 βˆ’π‘˜ βˆ’π‘˜ VERB cana-538 75 16 βˆ—π‘ (𝑒𝑝 βˆ—π‘ (𝑒𝑝 PROPN cana-538 75 17 βˆ’ βˆ’ NOUN cana-538 75 18 u u NOUN cana-538 75 19 ) ) PUNCT cana-538 75 20 , , PUNCT cana-538 75 21 ( ( PUNCT cana-538 75 22 6 6 X cana-538 75 23 ) ) PUNCT cana-538 75 24 communications communication NOUN cana-538 75 25 on on ADP cana-538 75 26 applied apply VERB cana-538 75 27 nonlinear nonlinear ADJ cana-538 75 28 analysis analysis NOUN cana-538 75 29 issn issn NOUN cana-538 75 30 : : PUNCT cana-538 75 31 1074 1074 NUM cana-538 75 32 - - PUNCT cana-538 75 33 133x 133x NUM cana-538 75 34 vol vol NOUN cana-538 75 35 31 31 NUM cana-538 75 36 no no NOUN cana-538 75 37 . . NOUN cana-538 75 38 2 2 NUM cana-538 75 39 ( ( PUNCT cana-538 75 40 2024 2024 NUM cana-538 75 41 ) ) PUNCT cana-538 75 42 227 227 NUM cana-538 75 43 https://internationalpubls.com https://internationalpubls.com X cana-538 75 44 πœπ‘‡π‘π‘š(v𝑝. πœπ‘‡π‘π‘š(v𝑝. NOUN cana-538 75 45 βˆ‡)𝑇𝑝 βˆ‡)𝑇𝑝 PROPN cana-538 76 1 = = PRON cana-538 76 2 βˆ’(𝑐𝑝)𝑓(𝑇𝑝 βˆ’(𝑐𝑝)𝑓(𝑇𝑝 VERB cana-538 76 3 βˆ’ βˆ’ PROPN cana-538 76 4 t t PROPN cana-538 76 5 ) ) PUNCT cana-538 76 6 . . PUNCT cana-538 77 1 ( ( PUNCT cana-538 77 2 7 7 X cana-538 77 3 ) ) PUNCT cana-538 77 4 the the DET cana-538 77 5 governing govern VERB cana-538 77 6 equations equation NOUN cana-538 77 7 for for ADP cana-538 77 8 both both CCONJ cana-538 77 9 the the DET cana-538 77 10 fluid fluid NOUN cana-538 77 11 and and CCONJ cana-538 77 12 dust dust NOUN cana-538 77 13 phases phase NOUN cana-538 77 14 are be AUX cana-538 77 15 developed develop VERB cana-538 77 16 using use VERB cana-538 77 17 the the DET cana-538 77 18 assumptions assumption NOUN cana-538 77 19 stated state VERB cana-538 77 20 above above ADP cana-538 77 21 [ [ PUNCT cana-538 77 22 25 25 NUM cana-538 77 23 - - SYM cana-538 77 24 28 28 NUM cana-538 77 25 ] ] PUNCT cana-538 77 26 . . PUNCT cana-538 78 1 4.3 4.3 NUM cana-538 78 2 fluid fluid ADJ cana-538 78 3 flow flow NOUN cana-538 78 4 and and CCONJ cana-538 78 5 heat heat NOUN cana-538 78 6 transfer transfer NOUN cana-538 78 7 in in ADP cana-538 78 8 micropolar micropolar ADJ cana-538 78 9 systems system NOUN cana-538 78 10 πœ•π‘₯𝑒 πœ•π‘₯𝑒 PUNCT cana-538 78 11 + + NUM cana-538 78 12 πœ•π‘¦π‘£ πœ•π‘¦π‘£ X cana-538 78 13 = = SYM cana-538 78 14 0 0 PUNCT cana-538 78 15 ( ( PUNCT cana-538 78 16 8) 8) NUM cana-538 78 17 π‘’πœ•π‘₯𝑒 π‘’πœ•π‘₯𝑒 NOUN cana-538 78 18 + + NUM cana-538 78 19 π‘£πœ•π‘¦π‘’ π‘£πœ•π‘¦π‘’ NOUN cana-538 78 20 = = SYM cana-538 78 21 ( ( PUNCT cana-538 78 22 πœ‡β„Žπ‘›π‘“+k πœ‡β„Žπ‘›π‘“+k NOUN cana-538 78 23 πœŒβ„Žπ‘›π‘“ πœŒβ„Žπ‘›π‘“ NOUN cana-538 78 24 ) ) PUNCT cana-538 78 25 πœ•π‘¦π‘¦u πœ•π‘¦π‘¦u NOUN cana-538 78 26 + + CCONJ cana-538 78 27 π‘˜βˆ—π‘  π‘˜βˆ—π‘  NUM cana-538 78 28 πœŒβ„Žπ‘›π‘“ πœŒβ„Žπ‘›π‘“ NOUN cana-538 78 29 ( ( PUNCT cana-538 78 30 𝑒𝑝 𝑒𝑝 NOUN cana-538 78 31 βˆ’ βˆ’ PROPN cana-538 78 32 u u NOUN cana-538 78 33 ) ) PUNCT cana-538 78 34 + + CCONJ cana-538 78 35 k k X cana-538 78 36 πœŒβ„Žπ‘›π‘“ πœŒβ„Žπ‘›π‘“ PROPN cana-538 78 37 πœ•π‘¦π‘ πœ•π‘¦π‘ PROPN cana-538 78 38 βˆ’ βˆ’ PROPN cana-538 78 39 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ NOUN cana-538 78 40 πœŒβ„Žπ‘›π‘“πΎπ‘ πœŒβ„Žπ‘›π‘“πΎπ‘ NOUN cana-538 78 41 𝑒 𝑒 NOUN cana-538 78 42 + + X cana-538 78 43 πœ‹π‘—0𝑀0 πœ‹π‘—0𝑀0 NOUN cana-538 78 44 8πœŒβ„Žπ‘›π‘“ 8πœŒβ„Žπ‘›π‘“ NUM cana-538 78 45 𝑒(βˆ’ 𝑒(βˆ’ X cana-538 78 46 πœ‹ πœ‹ ADP cana-538 78 47 π‘Ž π‘Ž NOUN cana-538 78 48 𝑦 𝑦 NOUN cana-538 78 49 ) ) PUNCT cana-538 78 50 + + NUM cana-538 78 51 π‘”π›½β„Žπ‘›π‘“(𝑇 π‘”π›½β„Žπ‘›π‘“(𝑇 ADP cana-538 78 52 βˆ’ βˆ’ PROPN cana-538 78 53 π‘‡βˆž π‘‡βˆž PROPN cana-538 78 54 ) ) PUNCT cana-538 78 55 ( ( PUNCT cana-538 78 56 9 9 X cana-538 78 57 ) ) PUNCT cana-538 78 58 π‘’πœ•π‘₯𝑁 π‘’πœ•π‘₯𝑁 PROPN cana-538 78 59 + + CCONJ cana-538 78 60 π‘£πœ•π‘¦π‘ π‘£πœ•π‘¦π‘ PROPN cana-538 79 1 = = PUNCT cana-538 79 2 ( ( PUNCT cana-538 79 3 πœ‡β„Žπ‘›π‘“+ πœ‡β„Žπ‘›π‘“+ X cana-538 79 4 k k X cana-538 79 5 2 2 NUM cana-538 79 6 πœŒβ„Žπ‘›π‘“ πœŒβ„Žπ‘›π‘“ NOUN cana-538 79 7 ) ) PUNCT cana-538 79 8 πœ•π‘¦π‘¦n πœ•π‘¦π‘¦n PROPN cana-538 79 9 βˆ’ βˆ’ NOUN cana-538 79 10 π‘˜ π‘˜ PRON cana-538 79 11 π‘—πœŒβ„Žπ‘›π‘“ π‘—πœŒβ„Žπ‘›π‘“ NOUN cana-538 79 12 ( ( PUNCT cana-538 79 13 2n 2n X cana-538 79 14 + + PUNCT cana-538 79 15 πœ•π‘¦π‘’ πœ•π‘¦π‘’ NOUN cana-538 79 16 ) ) PUNCT cana-538 79 17 ( ( PUNCT cana-538 79 18 10 10 NUM cana-538 79 19 ) ) PUNCT cana-538 79 20 π‘’πœ•π‘₯𝑇 π‘’πœ•π‘₯𝑇 PROPN cana-538 80 1 + + PUNCT cana-538 81 1 π‘£πœ•π‘¦π‘‡ π‘£πœ•π‘¦π‘‡ PROPN cana-538 81 2 + + CCONJ cana-538 81 3 𝛾𝑑 𝛾𝑑 INTJ cana-538 81 4 ( ( PUNCT cana-538 81 5 2π‘’π‘£πœ•π‘₯𝑦𝑇 2π‘’π‘£πœ•π‘₯𝑦𝑇 NUM cana-538 81 6 + + NUM cana-538 81 7 𝑒 𝑒 PRON cana-538 81 8 2πœ•π‘₯π‘₯𝑇 2πœ•π‘₯π‘₯𝑇 NOUN cana-538 82 1 + + CCONJ cana-538 82 2 𝑣 𝑣 ADP cana-538 82 3 2πœ•π‘¦π‘¦π‘‡ 2πœ•π‘¦π‘¦π‘‡ ADJ cana-538 82 4 + + CCONJ cana-538 82 5 ( ( PUNCT cana-538 82 6 π‘’πœ•π‘₯𝑒 π‘’πœ•π‘₯𝑒 NUM cana-538 82 7 + + X cana-538 82 8 π‘£πœ•π‘¦π‘’)πœ•π‘₯𝑇 π‘£πœ•π‘¦π‘’)πœ•π‘₯𝑇 NUM cana-538 82 9 + + CCONJ cana-538 82 10 ( ( PUNCT cana-538 82 11 π‘’πœ•π‘₯𝑣 π‘’πœ•π‘₯𝑣 X cana-538 82 12 + + CCONJ cana-538 82 13 π‘£πœ•π‘¦π‘£)πœ•π‘¦π‘‡ π‘£πœ•π‘¦π‘£)πœ•π‘¦π‘‡ PROPN cana-538 82 14 βˆ’ βˆ’ NOUN cana-538 82 15 𝑄0 𝑄0 PROPN cana-538 83 1 ( ( PUNCT cana-538 83 2 πœŒπ‘π‘)β„Žπ‘›π‘“ πœŒπ‘π‘)β„Žπ‘›π‘“ PROPN cana-538 83 3 ( ( PUNCT cana-538 83 4 π‘’πœ•π‘₯𝑇 π‘’πœ•π‘₯𝑇 PROPN cana-538 83 5 + + NUM cana-538 83 6 π‘£πœ•π‘¦π‘‡ π‘£πœ•π‘¦π‘‡ NUM cana-538 83 7 ) ) PUNCT cana-538 83 8 ) ) PUNCT cana-538 83 9 = = SYM cana-538 83 10 π‘˜β„Žπ‘›π‘“ π‘˜β„Žπ‘›π‘“ ADJ cana-538 83 11 ( ( PUNCT cana-538 83 12 πœŒπ‘π‘)β„Žπ‘›π‘“ πœŒπ‘π‘)β„Žπ‘›π‘“ PROPN cana-538 83 13 πœ•π‘¦π‘¦π‘‡ πœ•π‘¦π‘¦π‘‡ NUM cana-538 83 14 βˆ’ βˆ’ PROPN cana-538 83 15 πœ•π‘¦π‘ž πœ•π‘¦π‘ž PUNCT cana-538 83 16 π‘Ÿ π‘Ÿ NOUN cana-538 83 17 + + CCONJ cana-538 83 18 πœŒπ‘(𝑐𝑝)𝑓 πœŒπ‘(𝑐𝑝)𝑓 PROPN cana-538 83 19 πœπ‘‡(πœŒπ‘π‘)β„Žπ‘›π‘“ πœπ‘‡(πœŒπ‘π‘)β„Žπ‘›π‘“ PROPN cana-538 83 20 ( ( PUNCT cana-538 83 21 𝑇𝑝 𝑇𝑝 VERB cana-538 83 22 βˆ’ βˆ’ PROPN cana-538 83 23 𝑇 𝑇 PROPN cana-538 83 24 ) ) PUNCT cana-538 83 25 + + CCONJ cana-538 83 26 πœŒπ‘ πœŒπ‘ PRON cana-538 83 27 πœπ‘£(πœŒπ‘π‘)β„Žπ‘›π‘“ πœπ‘£(πœŒπ‘π‘)β„Žπ‘›π‘“ ADJ cana-538 83 28 ( ( PUNCT cana-538 83 29 𝑒𝑝 𝑒𝑝 NOUN cana-538 83 30 βˆ’ βˆ’ PROPN cana-538 83 31 𝑒 𝑒 NOUN cana-538 83 32 ) ) PUNCT cana-538 83 33 2 2 NUM cana-538 83 34 + + CCONJ cana-538 83 35 𝑄0 𝑄0 X cana-538 83 36 ( ( PUNCT cana-538 83 37 πœŒπ‘π‘)β„Žπ‘›π‘“ πœŒπ‘π‘)β„Žπ‘›π‘“ PROPN cana-538 83 38 ( ( PUNCT cana-538 83 39 𝑇 𝑇 PROPN cana-538 83 40 βˆ’ βˆ’ PROPN cana-538 83 41 π‘‡βˆž π‘‡βˆž PROPN cana-538 83 42 ) ) PUNCT cana-538 83 43 ( ( PUNCT cana-538 83 44 11 11 NUM cana-538 83 45 ) ) PUNCT cana-538 83 46 4.4 4.4 NUM cana-538 83 47 heat heat NOUN cana-538 83 48 transfer transfer NOUN cana-538 83 49 and and CCONJ cana-538 83 50 dust dust NOUN cana-538 83 51 particle particle NOUN cana-538 83 52 flow flow NOUN cana-538 83 53 πœ•π‘₯𝑒𝑝 πœ•π‘₯𝑒𝑝 NOUN cana-538 83 54 + + CCONJ cana-538 83 55 πœ•π‘¦π‘£π‘ πœ•π‘¦π‘£π‘ PROPN cana-538 83 56 = = SYM cana-538 83 57 0 0 NUM cana-538 83 58 ( ( PUNCT cana-538 83 59 12 12 NUM cana-538 83 60 ) ) PUNCT cana-538 83 61 π‘’π‘πœ•π‘₯𝑒𝑝 π‘’π‘πœ•π‘₯𝑒𝑝 NOUN cana-538 83 62 + + CCONJ cana-538 83 63 π‘£π‘πœ•π‘¦π‘’π‘ π‘£π‘πœ•π‘¦π‘’π‘ NOUN cana-538 83 64 = = SYM cana-538 83 65 π‘˜βˆ—π‘  π‘˜βˆ—π‘  NUM cana-538 83 66 πœŒπ‘ πœŒπ‘ X cana-538 83 67 ( ( PUNCT cana-538 83 68 u u NOUN cana-538 83 69 βˆ’ βˆ’ PROPN cana-538 83 70 𝑒𝑝 𝑒𝑝 NOUN cana-538 83 71 ) ) PUNCT cana-538 83 72 ( ( PUNCT cana-538 83 73 13 13 NUM cana-538 83 74 ) ) PUNCT cana-538 83 75 π‘’π‘πœ•π‘₯𝑇𝑝 π‘’π‘πœ•π‘₯𝑇𝑝 NUM cana-538 84 1 + + CCONJ cana-538 84 2 π‘£π‘πœ•π‘¦π‘‡π‘ π‘£π‘πœ•π‘¦π‘‡π‘ NUM cana-538 84 3 = = SYM cana-538 84 4 βˆ’ βˆ’ PROPN cana-538 84 5 ( ( PUNCT cana-538 84 6 𝑐𝑝)𝑓 𝑐𝑝)𝑓 PROPN cana-538 84 7 πœπ‘‡π‘π‘š πœπ‘‡π‘π‘š PROPN cana-538 84 8 ( ( PUNCT cana-538 84 9 𝑇𝑝 𝑇𝑝 VERB cana-538 84 10 βˆ’ βˆ’ PROPN cana-538 84 11 𝑇 𝑇 PROPN cana-538 84 12 ) ) PUNCT cana-538 84 13 ( ( PUNCT cana-538 84 14 14 14 NUM cana-538 84 15 ) ) PUNCT cana-538 84 16 the the DET cana-538 84 17 corresponding corresponding ADJ cana-538 84 18 boundary boundary ADJ cana-538 84 19 conditions condition NOUN cana-538 84 20 for for ADP cana-538 84 21 given give VERB cana-538 84 22 problem problem NOUN cana-538 84 23 is be AUX cana-538 84 24 𝑒 𝑒 ADJ cana-538 84 25 = = PUNCT cana-538 84 26 𝑒w 𝑒w PROPN cana-538 84 27 = = SYM cana-538 84 28 cx cx PROPN cana-538 84 29 , , PUNCT cana-538 84 30 v v NOUN cana-538 84 31 = = SYM cana-538 84 32 0 0 NUM cana-538 84 33 , , PUNCT cana-538 84 34 𝑇 𝑇 PROPN cana-538 84 35 = = PUNCT cana-538 84 36 𝑇𝑀(π‘₯ 𝑇𝑀(π‘₯ VERB cana-538 84 37 ) ) PUNCT cana-538 84 38 = = SYM cana-538 84 39 π‘‡βˆž π‘‡βˆž PROPN cana-538 84 40 + + CCONJ cana-538 84 41 𝑏π‘₯ 𝑏π‘₯ PROPN cana-538 84 42 , , PUNCT cana-538 84 43 𝑁 𝑁 PROPN cana-538 84 44 = = SYM cana-538 84 45 βˆ’π‘›πœ•π‘¦π‘’ βˆ’π‘›πœ•π‘¦π‘’ PROPN cana-538 84 46 π‘Žπ‘‘ π‘Žπ‘‘ ADP cana-538 84 47 𝑦 𝑦 NOUN cana-538 84 48 = = SYM cana-538 84 49 0 0 NUM cana-538 84 50 ( ( PUNCT cana-538 84 51 15 15 NUM cana-538 84 52 ) ) PUNCT cana-538 84 53 𝑒 𝑒 PROPN cana-538 84 54 β†’ β†’ SYM cana-538 84 55 0 0 NUM cana-538 84 56 , , PUNCT cana-538 84 57 𝑒𝑝 𝑒𝑝 VERB cana-538 84 58 β†’ β†’ SYM cana-538 84 59 0 0 NUM cana-538 84 60 , , PUNCT cana-538 84 61 𝑣𝑝 𝑣𝑝 NUM cana-538 84 62 β†’ β†’ SYM cana-538 84 63 v v NOUN cana-538 84 64 , , PUNCT cana-538 84 65 𝑇 𝑇 PROPN cana-538 84 66 β†’ β†’ SYM cana-538 84 67 π‘‡βˆž π‘‡βˆž PROPN cana-538 84 68 , , PUNCT cana-538 84 69 𝑇𝑝 𝑇𝑝 PROPN cana-538 84 70 β†’ β†’ SYM cana-538 84 71 π‘‡βˆž π‘‡βˆž PROPN cana-538 84 72 , , PUNCT cana-538 84 73 𝑁 𝑁 PROPN cana-538 84 74 β†’ β†’ SYM cana-538 84 75 0 0 NUM cana-538 84 76 π‘Žπ‘  π‘Žπ‘  PROPN cana-538 84 77 𝑦 𝑦 PROPN cana-538 84 78 β†’ β†’ SYM cana-538 84 79 ∞ ∞ PROPN cana-538 84 80 ( ( PUNCT cana-538 84 81 16 16 NUM cana-538 84 82 ) ) PUNCT cana-538 84 83 here here ADV cana-538 84 84 ( ( PUNCT cana-538 84 85 𝑒 𝑒 X cana-538 84 86 , , PUNCT cana-538 84 87 𝑣 𝑣 NOUN cana-538 84 88 ) ) PUNCT cana-538 84 89 and and CCONJ cana-538 84 90 ( ( PUNCT cana-538 84 91 𝑒𝑝 𝑒𝑝 NOUN cana-538 84 92 , , PUNCT cana-538 84 93 𝑣𝑝 𝑣𝑝 NOUN cana-538 84 94 ) ) PUNCT cana-538 84 95 these these PRON cana-538 84 96 denote denote VERB cana-538 84 97 the the DET cana-538 84 98 velocity velocity NOUN cana-538 84 99 components component NOUN cana-538 84 100 along along ADP cana-538 84 101 the the DET cana-538 84 102 x x NOUN cana-538 84 103 and and CCONJ cana-538 84 104 y y PROPN cana-538 84 105 axes axis NOUN cana-538 84 106 , , PUNCT cana-538 84 107 respectively respectively ADV cana-538 84 108 , , PUNCT cana-538 84 109 Οβ„Žπ‘›π‘“ Οβ„Žπ‘›π‘“ PROPN cana-538 84 110 , , PUNCT cana-538 84 111 ( ( PUNCT cana-538 84 112 ρ𝑐𝑝)β„Žπ‘›π‘“ ρ𝑐𝑝)β„Žπ‘›π‘“ PROPN cana-538 84 113 , , PUNCT cana-538 84 114 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ NOUN cana-538 84 115 , , PUNCT cana-538 84 116 π‘˜hnf π‘˜hnf NOUN cana-538 84 117 and and CCONJ cana-538 84 118 πœŽβ„Žπ‘›π‘“ πœŽβ„Žπ‘›π‘“ NOUN cana-538 84 119 represent represent VERB cana-538 84 120 the the DET cana-538 84 121 density density NOUN cana-538 84 122 , , PUNCT cana-538 84 123 volumetric volumetric ADJ cana-538 84 124 heat heat NOUN cana-538 84 125 capacity capacity NOUN cana-538 84 126 , , PUNCT cana-538 84 127 viscosity viscosity NOUN cana-538 84 128 , , PUNCT cana-538 84 129 and and CCONJ cana-538 84 130 thermal thermal ADJ cana-538 84 131 conductivity conductivity NOUN cana-538 84 132 of of ADP cana-538 84 133 the the DET cana-538 84 134 hybrid hybrid ADJ cana-538 84 135 nanofluid nanofluid NOUN cana-538 84 136 , , PUNCT cana-538 84 137 respectively respectively ADV cana-538 84 138 . . PUNCT cana-538 85 1 𝐾𝑝 𝐾𝑝 ADJ cana-538 85 2 permeability permeability NOUN cana-538 85 3 of of ADP cana-538 85 4 porous porous ADJ cana-538 85 5 medium medium NOUN cana-538 85 6 , , PUNCT cana-538 85 7 π‘˜βˆ— π‘˜βˆ— ADJ cana-538 85 8 = = SYM cana-538 85 9 6πœ‹π‘πœ‡π‘“ 6πœ‹π‘πœ‡π‘“ NUM cana-538 85 10 is be AUX cana-538 85 11 the the DET cana-538 85 12 stokes stokes PROPN cana-538 85 13 drag drag PROPN cana-538 85 14 constant constant ADJ cana-538 85 15 , , PUNCT cana-538 85 16 s s VERB cana-538 85 17 is be AUX cana-538 85 18 the the DET cana-538 85 19 density density NOUN cana-538 85 20 of of ADP cana-538 85 21 the the DET cana-538 85 22 dust dust NOUN cana-538 85 23 particles particle NOUN cana-538 85 24 , , PUNCT cana-538 85 25 the the DET cana-538 85 26 length length NOUN cana-538 85 27 is be AUX cana-538 85 28 𝑗 𝑗 NOUN cana-538 85 29 = = ADJ cana-538 85 30 πœˆβ„Žπ‘›π‘“ πœˆβ„Žπ‘›π‘“ PROPN cana-538 85 31 𝑐 𝑐 PROPN cana-538 85 32 and and CCONJ cana-538 85 33 𝐾 𝐾 PROPN cana-538 85 34 = = SYM cana-538 86 1 π‘˜ π‘˜ DET cana-538 86 2 πœ‡π‘“ πœ‡π‘“ NOUN cana-538 86 3 is be AUX cana-538 86 4 the the DET cana-538 86 5 parameter parameter NOUN cana-538 86 6 of of ADP cana-538 86 7 material material PROPN cana-538 86 8 t t PROPN cana-538 86 9 , , PUNCT cana-538 86 10 the the DET cana-538 86 11 velocity velocity NOUN cana-538 86 12 of of ADP cana-538 86 13 angular angular ADJ cana-538 86 14 is be AUX cana-538 86 15 n n PRON cana-538 86 16 , , PUNCT cana-538 86 17 πœπ‘£ πœπ‘£ X cana-538 86 18 and and CCONJ cana-538 86 19 πœπ‘‡ πœπ‘‡ NOUN cana-538 86 20 are be AUX cana-538 86 21 the the DET cana-538 86 22 particle particle NOUN cana-538 86 23 phase phase NOUN cana-538 86 24 relaxation relaxation NOUN cana-538 86 25 and and CCONJ cana-538 86 26 energy energy NOUN cana-538 86 27 equilibrium equilibrium NOUN cana-538 86 28 times time NOUN cana-538 86 29 , , PUNCT cana-538 86 30 and and CCONJ cana-538 86 31 𝑄0 𝑄0 PROPN cana-538 86 32 is be AUX cana-538 86 33 the the DET cana-538 86 34 heat heat NOUN cana-538 86 35 generation generation NOUN cana-538 86 36 . . PUNCT cana-538 87 1 the the DET cana-538 87 2 term term NOUN cana-538 87 3 π‘žπ‘Ÿ π‘žπ‘Ÿ PROPN cana-538 87 4 is be AUX cana-538 87 5 refers refer VERB cana-538 87 6 to to ADP cana-538 87 7 the the DET cana-538 87 8 rosseland rosseland PROPN cana-538 87 9 radiative radiative ADJ cana-538 87 10 heat heat NOUN cana-538 87 11 flux flux NOUN cana-538 87 12 , , PUNCT cana-538 87 13 which which PRON cana-538 87 14 is be AUX cana-538 87 15 defined define VERB cana-538 87 16 as as ADP cana-538 87 17 π‘žπ‘Ÿ π‘žπ‘Ÿ PROPN cana-538 87 18 = = SYM cana-538 87 19 βˆ’ βˆ’ PROPN cana-538 87 20 4πœŽβ‹† 4πœŽβ‹† NUM cana-538 87 21 3π‘˜βˆ—β‹† 3π‘˜βˆ—β‹† NUM cana-538 87 22 πœ•π‘¦π‘‡ πœ•π‘¦π‘‡ NUM cana-538 87 23 4 4 NUM cana-538 87 24 = = SYM cana-538 87 25 βˆ’ βˆ’ PROPN cana-538 87 26 16πœŽβ‹† 16πœŽβ‹† NUM cana-538 87 27 3π‘˜βˆ—β‹† 3π‘˜βˆ—β‹† NUM cana-538 87 28 π‘‡βˆž π‘‡βˆž PROPN cana-538 87 29 3πœ•π‘¦π‘‡. 3πœ•π‘¦π‘‡. NUM cana-538 87 30 table table NOUN cana-538 87 31 1 1 NUM cana-538 87 32 utilized utilize VERB cana-538 87 33 models model NOUN cana-538 87 34 for for ADP cana-538 87 35 the the DET cana-538 87 36 thermophysical thermophysical ADJ cana-538 87 37 properties property NOUN cana-538 87 38 of of ADP cana-538 87 39 the the DET cana-538 87 40 hybrid hybrid ADJ cana-538 87 41 nanofluid nanofluid NOUN cana-538 87 42 [ [ X cana-538 87 43 6,10 6,10 X cana-538 87 44 ] ] PUNCT cana-538 87 45 . . PUNCT cana-538 88 1 communications communication NOUN cana-538 88 2 on on ADP cana-538 88 3 applied apply VERB cana-538 88 4 nonlinear nonlinear ADJ cana-538 88 5 analysis analysis NOUN cana-538 88 6 issn issn NOUN cana-538 88 7 : : PUNCT cana-538 88 8 1074 1074 NUM cana-538 88 9 - - PUNCT cana-538 88 10 133x 133x NUM cana-538 88 11 vol vol NOUN cana-538 88 12 31 31 NUM cana-538 88 13 no no NOUN cana-538 88 14 . . NOUN cana-538 88 15 2 2 NUM cana-538 88 16 ( ( PUNCT cana-538 88 17 2024 2024 NUM cana-538 88 18 ) ) PUNCT cana-538 88 19 228 228 NUM cana-538 88 20 https://internationalpubls.com https://internationalpubls.com X cana-538 88 21 properties property NOUN cana-538 88 22 hybrid hybrid NOUN cana-538 88 23 - - PUNCT cana-538 88 24 nanofluid nanofluid ADJ cana-538 88 25 nanofluid nanofluid ADJ cana-538 88 26 dynamic dynamic ADJ cana-538 88 27 viscosity viscosity NOUN cana-538 88 28 πœ‡hnf πœ‡hnf NOUN cana-538 88 29 = = SYM cana-538 88 30 πœ‡bf(1 πœ‡bf(1 NOUN cana-538 88 31 βˆ’ βˆ’ NOUN cana-538 88 32 πœ‘2 πœ‘2 PROPN cana-538 88 33 ) ) PUNCT cana-538 88 34 βˆ’2.5 βˆ’2.5 PROPN cana-538 88 35 πœ‡bf πœ‡bf NOUN cana-538 88 36 = = SYM cana-538 88 37 πœ‡f(1 πœ‡f(1 PROPN cana-538 88 38 βˆ’ βˆ’ NOUN cana-538 88 39 πœ‘1 πœ‘1 NOUN cana-538 88 40 ) ) PUNCT cana-538 88 41 βˆ’2.5 βˆ’2.5 PROPN cana-538 88 42 density density NOUN cana-538 88 43 𝜌hnf 𝜌hnf NOUN cana-538 88 44 = = PUNCT cana-538 88 45 ( ( PUNCT cana-538 88 46 1 1 NUM cana-538 88 47 βˆ’ βˆ’ NOUN cana-538 88 48 πœ‘2)𝜌bf πœ‘2)𝜌bf NOUN cana-538 88 49 + + CCONJ cana-538 88 50 πœ‘2𝜌2 πœ‘2𝜌2 PROPN cana-538 88 51 , , PUNCT cana-538 88 52 𝜌bf 𝜌bf NOUN cana-538 88 53 = = PUNCT cana-538 88 54 ( ( PUNCT cana-538 88 55 1 1 NUM cana-538 88 56 βˆ’ βˆ’ NOUN cana-538 88 57 πœ‘1)𝜌f πœ‘1)𝜌f VERB cana-538 88 58 + + CCONJ cana-538 88 59 πœ‘1𝜌1 πœ‘1𝜌1 ADP cana-538 88 60 heat heat NOUN cana-538 88 61 capacity capacity NOUN cana-538 88 62 ( ( PUNCT cana-538 88 63 πœŒπ‘π‘)hnf πœŒπ‘π‘)hnf NOUN cana-538 88 64 = = PUNCT cana-538 88 65 ( ( PUNCT cana-538 88 66 1 1 NUM cana-538 88 67 βˆ’ βˆ’ PROPN cana-538 88 68 πœ‘2)(πœŒπ‘π‘)bf πœ‘2)(πœŒπ‘π‘)bf NOUN cana-538 88 69 + + CCONJ cana-538 88 70 πœ‘2(πœŒπ‘π‘)2 πœ‘2(πœŒπ‘π‘)2 PROPN cana-538 88 71 , , PUNCT cana-538 88 72 ( ( PUNCT cana-538 88 73 πœŒπ‘π‘)bf πœŒπ‘π‘)bf NOUN cana-538 88 74 = = SYM cana-538 88 75 ( ( PUNCT cana-538 88 76 1 1 NUM cana-538 88 77 βˆ’ βˆ’ PROPN cana-538 88 78 πœ‘1)(πœŒπ‘π‘)f πœ‘1)(πœŒπ‘π‘)f NOUN cana-538 88 79 + + CCONJ cana-538 88 80 πœ‘1(πœŒπ‘π‘)1 πœ‘1(πœŒπ‘π‘)1 PROPN cana-538 88 81 thermal thermal ADJ cana-538 88 82 conduc conduc PROPN cana-538 88 83 . . PUNCT cana-538 89 1 π‘˜hnf π‘˜hnf NOUN cana-538 89 2 π‘˜bf π‘˜bf PROPN cana-538 89 3 = = SYM cana-538 89 4 ( ( PUNCT cana-538 89 5 π‘˜2+( π‘˜2+( PROPN cana-538 89 6 οΏ½ οΏ½ PROPN cana-538 89 7 Μ‚ Μ‚ NOUN cana-538 89 8 οΏ½ οΏ½ NOUN cana-538 89 9 βˆ’1)π‘˜bf)βˆ’( βˆ’1)π‘˜bf)βˆ’( NOUN cana-538 89 10 οΏ½ οΏ½ PROPN cana-538 89 11 Μ‚ Μ‚ NOUN cana-538 89 12 οΏ½ οΏ½ NOUN cana-538 89 13 βˆ’1)πœ‘2(π‘˜bfβˆ’π‘˜2 βˆ’1)πœ‘2(π‘˜bfβˆ’π‘˜2 NOUN cana-538 89 14 ) ) PUNCT cana-538 90 1 ( ( PUNCT cana-538 90 2 π‘˜2+( π‘˜2+( PROPN cana-538 90 3 οΏ½ οΏ½ PROPN cana-538 90 4 Μ‚ Μ‚ VERB cana-538 90 5 οΏ½ οΏ½ NOUN cana-538 90 6 βˆ’1)π‘˜bf)+πœ‘2(π‘˜bfβˆ’π‘˜2 βˆ’1)π‘˜bf)+πœ‘2(π‘˜bfβˆ’π‘˜2 NUM cana-538 90 7 ) ) PUNCT cana-538 90 8 , , PUNCT cana-538 90 9 π‘˜bf π‘˜bf INTJ cana-538 90 10 π‘˜f π‘˜f NOUN cana-538 90 11 = = SYM cana-538 90 12 ( ( PUNCT cana-538 90 13 π‘˜1+( π‘˜1+( PROPN cana-538 90 14 οΏ½ οΏ½ NOUN cana-538 90 15 Μ‚ Μ‚ NOUN cana-538 90 16 οΏ½ οΏ½ NOUN cana-538 90 17 βˆ’1)π‘˜f)βˆ’( βˆ’1)π‘˜f)βˆ’( NOUN cana-538 90 18 οΏ½ οΏ½ PROPN cana-538 90 19 Μ‚ Μ‚ NOUN cana-538 90 20 οΏ½ οΏ½ NOUN cana-538 90 21 βˆ’1)πœ‘1(π‘˜fβˆ’π‘˜1 βˆ’1)πœ‘1(π‘˜fβˆ’π‘˜1 NOUN cana-538 90 22 ) ) PUNCT cana-538 90 23 ( ( PUNCT cana-538 90 24 π‘˜1+( π‘˜1+( NOUN cana-538 90 25 οΏ½ οΏ½ SYM cana-538 90 26 Μ‚ Μ‚ NOUN cana-538 90 27 οΏ½ οΏ½ NOUN cana-538 90 28 βˆ’1)π‘˜f)+πœ‘1(π‘˜fβˆ’π‘˜1 βˆ’1)π‘˜f)+πœ‘1(π‘˜fβˆ’π‘˜1 NOUN cana-538 90 29 ) ) PUNCT cana-538 90 30 electrical electrical ADJ cana-538 90 31 conduc conduc PROPN cana-538 90 32 . . PUNCT cana-538 91 1 𝜎hnf 𝜎hnf PROPN cana-538 91 2 𝜎bf 𝜎bf PROPN cana-538 91 3 = = SYM cana-538 91 4 ( ( PUNCT cana-538 91 5 1 1 NUM cana-538 91 6 + + SYM cana-538 91 7 3 3 NUM cana-538 91 8 ( ( PUNCT cana-538 91 9 𝜎2 𝜎2 NOUN cana-538 91 10 𝜎bf 𝜎bf NOUN cana-538 91 11 βˆ’1)πœ‘2 βˆ’1)πœ‘2 X cana-538 91 12 ( ( PUNCT cana-538 91 13 𝜎2 𝜎2 PROPN cana-538 91 14 𝜎bf 𝜎bf PROPN cana-538 91 15 +2)βˆ’ +2)βˆ’ PROPN cana-538 91 16 ( ( PUNCT cana-538 91 17 𝜎2 𝜎2 PROPN cana-538 91 18 𝜎bf 𝜎bf NOUN cana-538 91 19 βˆ’1)πœ‘2 βˆ’1)πœ‘2 X cana-538 91 20 ) ) PUNCT cana-538 91 21 , , PUNCT cana-538 91 22 𝜎bf 𝜎bf VERB cana-538 91 23 𝜎f 𝜎f ADV cana-538 91 24 = = PUNCT cana-538 91 25 ( ( PUNCT cana-538 91 26 1 1 NUM cana-538 91 27 + + SYM cana-538 91 28 3 3 NUM cana-538 91 29 ( ( PUNCT cana-538 91 30 𝜎1 𝜎1 ADV cana-538 91 31 𝜎f 𝜎f ADJ cana-538 91 32 βˆ’1)πœ‘1 βˆ’1)πœ‘1 NOUN cana-538 91 33 ( ( PUNCT cana-538 91 34 𝜎1 𝜎1 ADV cana-538 91 35 𝜎f 𝜎f ADP cana-538 91 36 +2)βˆ’ +2)βˆ’ ADJ cana-538 91 37 ( ( PUNCT cana-538 91 38 𝜎1 𝜎1 ADJ cana-538 91 39 𝜎f 𝜎f ADJ cana-538 91 40 βˆ’1)πœ‘1 βˆ’1)πœ‘1 NOUN cana-538 91 41 ) ) PUNCT cana-538 91 42 as as ADP cana-538 91 43 a a DET cana-538 91 44 base base NOUN cana-538 91 45 fluid fluid NOUN cana-538 91 46 , , PUNCT cana-538 91 47 blood blood NOUN cana-538 91 48 was be AUX cana-538 91 49 employed employ VERB cana-538 91 50 . . PUNCT cana-538 92 1 𝐹𝑒3𝑂4 𝐹𝑒3𝑂4 NOUN cana-538 92 2 nanoparticles nanoparticle NOUN cana-538 92 3 and and CCONJ cana-538 92 4 carbon carbon NOUN cana-538 92 5 nanotubes nanotube NOUN cana-538 92 6 ( ( PUNCT cana-538 92 7 cnts cnt NOUN cana-538 92 8 ) ) PUNCT cana-538 92 9 were be AUX cana-538 92 10 utilized utilize VERB cana-538 92 11 in in ADP cana-538 92 12 a a DET cana-538 92 13 ratio ratio NOUN cana-538 92 14 of of ADP cana-538 92 15 50/50 50/50 NUM cana-538 92 16 , , PUNCT cana-538 92 17 respectively respectively ADV cana-538 92 18 . . PUNCT cana-538 93 1 in in ADP cana-538 93 2 two two NUM cana-538 93 3 steps step NOUN cana-538 93 4 , , PUNCT cana-538 93 5 samples sample NOUN cana-538 93 6 were be AUX cana-538 93 7 generated generate VERB cana-538 93 8 using use VERB cana-538 93 9 carbon carbon NOUN cana-538 93 10 nanotubes nanotube NOUN cana-538 93 11 and and CCONJ cana-538 93 12 𝐹𝑒3𝑂4 𝐹𝑒3𝑂4 NOUN cana-538 93 13 nanoparticles nanoparticle NOUN cana-538 93 14 . . PUNCT cana-538 94 1 the the DET cana-538 94 2 thermophysical thermophysical ADJ cana-538 94 3 characteristics characteristic NOUN cana-538 94 4 of of ADP cana-538 94 5 blood blood NOUN cana-538 94 6 and and CCONJ cana-538 94 7 both both DET cana-538 94 8 types type NOUN cana-538 94 9 of of ADP cana-538 94 10 𝐹𝑒3𝑂4and 𝐹𝑒3𝑂4and PUNCT cana-538 94 11 cnts cnt NOUN cana-538 94 12 are be AUX cana-538 94 13 shown show VERB cana-538 94 14 in in ADP cana-538 94 15 table table NOUN cana-538 94 16 2 2 NUM cana-538 94 17 . . PUNCT cana-538 94 18 table table NOUN cana-538 94 19 2 2 NUM cana-538 94 20 . . PUNCT cana-538 94 21 thermal thermal ADJ cana-538 94 22 properties property NOUN cana-538 94 23 of of ADP cana-538 94 24 the the DET cana-538 94 25 base base NOUN cana-538 94 26 fluid fluid NOUN cana-538 94 27 ( ( PUNCT cana-538 94 28 blood blood NOUN cana-538 94 29 ) ) PUNCT cana-538 94 30 , , PUNCT cana-538 94 31 𝐹𝑒3𝑂4 𝐹𝑒3𝑂4 NOUN cana-538 94 32 , , PUNCT cana-538 94 33 and and CCONJ cana-538 94 34 cnts cnt NOUN cana-538 95 1 [ [ X cana-538 95 2 23 23 NUM cana-538 95 3 - - SYM cana-538 95 4 24 24 NUM cana-538 95 5 ] ] PUNCT cana-538 95 6 . . PUNCT cana-538 96 1 the the DET cana-538 96 2 equations equation NOUN cana-538 96 3 are be AUX cana-538 96 4 converted convert VERB cana-538 96 5 into into ADP cana-538 96 6 a a DET cana-538 96 7 dimensionless dimensionless ADJ cana-538 96 8 format format NOUN cana-538 96 9 by by ADP cana-538 96 10 introducing introduce VERB cana-538 96 11 the the DET cana-538 96 12 following follow VERB cana-538 96 13 nondimensional nondimensional ADJ cana-538 96 14 parameters parameter NOUN cana-538 96 15 : : PUNCT cana-538 96 16 πœ‚ πœ‚ X cana-538 96 17 = = SYM cana-538 96 18 y y PROPN cana-538 96 19 ( ( PUNCT cana-538 96 20 𝑐 𝑐 PROPN cana-538 96 21 πœˆπ‘“ πœˆπ‘“ PROPN cana-538 96 22 ) ) PUNCT cana-538 96 23 1 1 NUM cana-538 96 24 2⁄ 2⁄ NUM cana-538 96 25 , , PUNCT cana-538 96 26 𝑒(u𝑝)(πœ‚ 𝑒(u𝑝)(πœ‚ NOUN cana-538 96 27 ) ) PUNCT cana-538 96 28 = = PROPN cana-538 96 29 cx𝐹′(𝐹𝑝 cx𝐹′(𝐹𝑝 PROPN cana-538 96 30 β€²)(πœ‚ β€²)(πœ‚ NOUN cana-538 96 31 ) ) PUNCT cana-538 96 32 , , PUNCT cana-538 96 33 𝑣 𝑣 X cana-538 96 34 = = SYM cana-538 96 35 βˆ’(π‘πœˆπ‘“ βˆ’(π‘πœˆπ‘“ PROPN cana-538 96 36 ) ) PUNCT cana-538 96 37 1 1 NUM cana-538 96 38 2⁄ 2⁄ NUM cana-538 96 39 𝐹(𝐹𝑝 𝐹(𝐹𝑝 ADJ cana-538 96 40 β€²)(πœ‚ β€²)(πœ‚ NOUN cana-538 96 41 ) ) PUNCT cana-538 96 42 , , PUNCT cana-538 96 43 n n PROPN cana-538 96 44 = = SYM cana-538 96 45 cx cx PROPN cana-538 96 46 ( ( PUNCT cana-538 96 47 𝑐 𝑐 NOUN cana-538 96 48 πœˆπ‘“ πœˆπ‘“ PROPN cana-538 96 49 ) ) PUNCT cana-538 96 50 1 1 NUM cana-538 96 51 2⁄ 2⁄ NUM cana-538 96 52 h(Ξ· h(Ξ· ADJ cana-538 96 53 ) ) PUNCT cana-538 96 54 , , PUNCT cana-538 96 55 ΞΈ(θ𝑝)(πœ‚ ΞΈ(θ𝑝)(πœ‚ PROPN cana-538 96 56 ) ) PUNCT cana-538 96 57 = = PUNCT cana-538 97 1 𝑇(𝑇𝑝)βˆ’π‘‡βˆž 𝑇(𝑇𝑝)βˆ’π‘‡βˆž PROPN cana-538 97 2 π‘‡π‘€βˆ’π‘‡βˆž π‘‡π‘€βˆ’π‘‡βˆž PROPN cana-538 97 3 . . PUNCT cana-538 97 4 } } PUNCT cana-538 97 5 ( ( PUNCT cana-538 97 6 17 17 NUM cana-538 97 7 ) ) PUNCT cana-538 97 8 equations equation NOUN cana-538 97 9 ( ( PUNCT cana-538 97 10 8) 8) NUM cana-538 97 11 and and CCONJ cana-538 97 12 ( ( PUNCT cana-538 97 13 12 12 NUM cana-538 97 14 ) ) PUNCT cana-538 97 15 are be AUX cana-538 97 16 satisfied satisfied ADJ cana-538 97 17 automatically automatically ADV cana-538 97 18 and and CCONJ cana-538 97 19 eqs eqs PROPN cana-538 97 20 . . PUNCT cana-538 98 1 ( ( PUNCT cana-538 98 2 9 9 NUM cana-538 98 3 ) ) PUNCT cana-538 98 4 ( ( PUNCT cana-538 98 5 16 16 NUM cana-538 98 6 ) ) PUNCT cana-538 98 7 yield yield NOUN cana-538 98 8 ( ( PUNCT cana-538 98 9 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ PROPN cana-538 98 10 πœ‡π‘“ πœ‡π‘“ PROPN cana-538 98 11 + + CCONJ cana-538 98 12 𝐴)fβ€²β€²β€² 𝐴)fβ€²β€²β€² PROPN cana-538 99 1 βˆ’ βˆ’ ADP cana-538 99 2 πœŒβ„Žπ‘›π‘“ πœŒβ„Žπ‘›π‘“ NOUN cana-538 99 3 πœŒπ‘“ πœŒπ‘“ INTJ cana-538 99 4 ( ( PUNCT cana-538 99 5 fβ€² fβ€² PROPN cana-538 99 6 2 2 NUM cana-538 99 7 βˆ’ βˆ’ NOUN cana-538 99 8 ffβ€²β€² ffβ€²β€² ADP cana-538 99 9 βˆ’ βˆ’ PROPN cana-538 99 10 π›½β„Žπ‘›π‘“ π›½β„Žπ‘›π‘“ NOUN cana-538 99 11 𝛽𝑓 𝛽𝑓 ADP cana-538 99 12 Ξ»πœƒ Ξ»πœƒ NOUN cana-538 99 13 ) ) PUNCT cana-538 100 1 + + CCONJ cana-538 100 2 l𝛽𝑣(𝐹𝑝 l𝛽𝑣(𝐹𝑝 NOUN cana-538 100 3 β€² β€² NOUN cana-538 100 4 βˆ’ βˆ’ NOUN cana-538 100 5 fβ€² fβ€² NUM cana-538 100 6 ) ) PUNCT cana-538 101 1 + + NUM cana-538 101 2 ahβ€² ahβ€² NOUN cana-538 101 3 βˆ’ βˆ’ NOUN cana-538 101 4 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ NOUN cana-538 101 5 πœ‡π‘“ πœ‡π‘“ PROPN cana-538 101 6 πœ–fβ€² πœ–fβ€² NOUN cana-538 101 7 + + CCONJ cana-538 101 8 πœ’π‘’(βˆ’π΅πœ‚ πœ’π‘’(βˆ’π΅πœ‚ NOUN cana-538 101 9 ) ) PUNCT cana-538 102 1 = = SYM cana-538 102 2 0 0 NUM cana-538 102 3 ( ( PUNCT cana-538 102 4 18 18 NUM cana-538 102 5 ) ) PUNCT cana-538 102 6 ( ( PUNCT cana-538 102 7 πœŒπ‘π‘)𝑓 πœŒπ‘π‘)𝑓 PROPN cana-538 102 8 ( ( PUNCT cana-538 102 9 πœŒπ‘π‘)β„Žπ‘›π‘“ πœŒπ‘π‘)β„Žπ‘›π‘“ PROPN cana-538 102 10 ( ( PUNCT cana-538 102 11 πΎβ„Žπ‘›π‘“ πΎβ„Žπ‘›π‘“ PROPN cana-538 102 12 𝐾𝑓 𝐾𝑓 PROPN cana-538 102 13 + + CCONJ cana-538 102 14 𝑅𝑑 𝑅𝑑 PROPN cana-538 102 15 ) ) PUNCT cana-538 102 16 πœƒ πœƒ NUM cana-538 103 1 β€²β€² β€²β€² NOUN cana-538 103 2 + + CCONJ cana-538 103 3 pr pr X cana-538 104 1 [ [ X cana-538 104 2 lβ𝑇(πœƒπ‘ lβ𝑇(πœƒπ‘ NOUN cana-538 104 3 βˆ’ βˆ’ PROPN cana-538 104 4 πœƒ πœƒ NOUN cana-538 104 5 ) ) PUNCT cana-538 105 1 + + CCONJ cana-538 106 1 l𝛽𝑣𝐸𝑐(𝐹𝑝 l𝛽𝑣𝐸𝑐(𝐹𝑝 ADP cana-538 106 2 β€² β€² NUM cana-538 106 3 βˆ’ βˆ’ NOUN cana-538 106 4 fβ€² fβ€² NUM cana-538 106 5 ) ) PUNCT cana-538 106 6 2 2 NUM cana-538 106 7 βˆ’ βˆ’ PROPN cana-538 106 8 Ξ΄(fβ€² Ξ΄(fβ€² NUM cana-538 106 9 2 2 NUM cana-538 106 10 πœƒ πœƒ NOUN cana-538 106 11 βˆ’ βˆ’ NOUN cana-538 106 12 πΉπΉβ€²β€²πœƒ πΉπΉβ€²β€²πœƒ SYM cana-538 106 13 βˆ’ βˆ’ NOUN cana-538 106 14 πΉπΉβ€²πœƒβ€² πΉπΉβ€²πœƒβ€² PROPN cana-538 106 15 + + CCONJ cana-538 106 16 𝐹2πœƒβ€²β€² 𝐹2πœƒβ€²β€² ADJ cana-538 106 17 ) ) PUNCT cana-538 106 18 βˆ’ βˆ’ PROPN cana-538 106 19 ( ( PUNCT cana-538 106 20 πœŒπ‘π‘)𝑓 πœŒπ‘π‘)𝑓 PROPN cana-538 106 21 ( ( PUNCT cana-538 106 22 πœŒπ‘π‘)β„Žπ‘›π‘“ πœŒπ‘π‘)β„Žπ‘›π‘“ PROPN cana-538 106 23 q(πΉβ€²πœƒ q(πΉβ€²πœƒ NUM cana-538 106 24 βˆ’ βˆ’ NUM cana-538 106 25 πΉπœƒβ€² πΉπœƒβ€² NOUN cana-538 106 26 ) ) PUNCT cana-538 106 27 ) ) PUNCT cana-538 107 1 βˆ’ βˆ’ NOUN cana-538 107 2 πΉβ€²πœƒ πΉβ€²πœƒ NOUN cana-538 108 1 + + CCONJ cana-538 108 2 πΉπœƒβ€² πΉπœƒβ€² NOUN cana-538 108 3 ] ] PUNCT cana-538 109 1 + + CCONJ cana-538 109 2 ( ( PUNCT cana-538 109 3 πœŒπ‘π‘)𝑓 πœŒπ‘π‘)𝑓 PROPN cana-538 109 4 ( ( PUNCT cana-538 109 5 πœŒπ‘π‘)β„Žπ‘›π‘“ πœŒπ‘π‘)β„Žπ‘›π‘“ PROPN cana-538 109 6 qΞΈ qΞΈ NOUN cana-538 109 7 = = SYM cana-538 109 8 0 0 NUM cana-538 109 9 ( ( PUNCT cana-538 109 10 19 19 NUM cana-538 109 11 ) ) PUNCT cana-538 109 12 πœŒπ‘“ πœŒπ‘“ NOUN cana-538 109 13 πœŒβ„Žπ‘›π‘“ πœŒβ„Žπ‘›π‘“ NOUN cana-538 109 14 ( ( PUNCT cana-538 109 15 ( ( PUNCT cana-538 109 16 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ PROPN cana-538 109 17 πœ‡π‘“ πœ‡π‘“ PROPN cana-538 109 18 + + PROPN cana-538 109 19 𝐴 𝐴 PROPN cana-538 109 20 2 2 NUM cana-538 109 21 ) ) PUNCT cana-538 109 22 𝐻′′ 𝐻′′ NOUN cana-538 109 23 βˆ’ βˆ’ ADP cana-538 109 24 abβˆ— abβˆ— ADJ cana-538 109 25 ( ( PUNCT cana-538 109 26 2𝐻 2𝐻 PROPN cana-538 109 27 + + PROPN cana-538 109 28 𝐹′′ 𝐹′′ NOUN cana-538 109 29 ) ) PUNCT cana-538 109 30 ) ) PUNCT cana-538 110 1 βˆ’ βˆ’ PROPN cana-538 110 2 𝐹′𝐻 𝐹′𝐻 PUNCT cana-538 111 1 + + PUNCT cana-538 111 2 𝐹𝐻′ 𝐹𝐻′ PROPN cana-538 111 3 = = SYM cana-538 111 4 0 0 NUM cana-538 111 5 ( ( PUNCT cana-538 111 6 20 20 NUM cana-538 111 7 ) ) PUNCT cana-538 111 8 feature feature NOUN cana-538 111 9 𝝆 𝝆 X cana-538 111 10 ( ( PUNCT cana-538 111 11 kg kg PROPN cana-538 111 12 / / SYM cana-538 111 13 m m VERB cana-538 111 14 πŸ‘ πŸ‘ NUM cana-538 111 15 ) ) PUNCT cana-538 111 16 𝒄𝒑(j 𝒄𝒑(j NOUN cana-538 111 17 / / SYM cana-538 111 18 kg.k kg.k X cana-538 111 19 ) ) PUNCT cana-538 111 20 π’Œ π’Œ PRON cana-538 111 21 ( ( PUNCT cana-538 111 22 w w PROPN cana-538 111 23 / / SYM cana-538 111 24 m.k m.k PROPN cana-538 111 25 ) ) PUNCT cana-538 111 26 πœ·π’™πŸπŸŽπŸ“(πΎβˆ’1 πœ·π’™πŸπŸŽπŸ“(πΎβˆ’1 ADJ cana-538 111 27 ) ) PUNCT cana-538 111 28 human human ADJ cana-538 111 29 blood blood NOUN cana-538 111 30 1053 1053 NUM cana-538 111 31 3594 3594 NUM cana-538 111 32 0.492 0.492 NUM cana-538 111 33 0.18 0.18 NUM cana-538 111 34 swcnts swcnt NOUN cana-538 111 35 2600 2600 NUM cana-538 111 36 425 425 NUM cana-538 111 37 6600 6600 NUM cana-538 111 38 27 27 NUM cana-538 111 39 mwcnts mwcnt NOUN cana-538 111 40 1600 1600 NUM cana-538 111 41 765 765 NUM cana-538 111 42 3000 3000 NUM cana-538 111 43 44 44 NUM cana-538 111 44 communications communication NOUN cana-538 111 45 on on ADP cana-538 111 46 applied apply VERB cana-538 111 47 nonlinear nonlinear ADJ cana-538 111 48 analysis analysis NOUN cana-538 111 49 issn issn NOUN cana-538 111 50 : : PUNCT cana-538 111 51 1074 1074 NUM cana-538 111 52 - - PUNCT cana-538 111 53 133x 133x NUM cana-538 111 54 vol vol NOUN cana-538 111 55 31 31 NUM cana-538 111 56 no no NOUN cana-538 111 57 . . NOUN cana-538 111 58 2 2 NUM cana-538 111 59 ( ( PUNCT cana-538 111 60 2024 2024 NUM cana-538 111 61 ) ) PUNCT cana-538 111 62 229 229 NUM cana-538 111 63 https://internationalpubls.com https://internationalpubls.com X cana-538 112 1 f𝑝𝐹𝑝 f𝑝𝐹𝑝 PROPN cana-538 112 2 β€²β€² β€²β€² PROPN cana-538 112 3 βˆ’ βˆ’ PROPN cana-538 112 4 𝐹𝑝 𝐹𝑝 PROPN cana-538 112 5 β€²2 β€²2 NOUN cana-538 112 6 + + NOUN cana-538 112 7 𝛽𝑣(f 𝛽𝑣(f ADJ cana-538 112 8 β€² β€² NUM cana-538 112 9 βˆ’ βˆ’ PROPN cana-538 113 1 𝐹𝑝 𝐹𝑝 PROPN cana-538 113 2 β€² β€² NUM cana-538 113 3 ) ) PUNCT cana-538 114 1 = = SYM cana-538 114 2 0 0 PUNCT cana-538 114 3 ( ( PUNCT cana-538 114 4 21 21 NUM cana-538 114 5 ) ) PUNCT cana-538 114 6 𝐹𝑝 𝐹𝑝 PROPN cana-538 114 7 β€²πœƒπ‘βˆ’fπ‘πœƒπ‘ β€²πœƒπ‘βˆ’fπ‘πœƒπ‘ PROPN cana-538 114 8 β€² β€² NUM cana-538 115 1 + + CCONJ cana-538 115 2 γ𝛽𝑇(πœƒπ‘ γ𝛽𝑇(πœƒπ‘ NOUN cana-538 115 3 βˆ’ βˆ’ PROPN cana-538 115 4 πœƒ πœƒ NOUN cana-538 115 5 ) ) PUNCT cana-538 115 6 = = SYM cana-538 115 7 0 0 NUM cana-538 115 8 ( ( PUNCT cana-538 115 9 22 22 NUM cana-538 115 10 ) ) PUNCT cana-538 115 11 with with ADP cana-538 115 12 𝐹(0 𝐹(0 X cana-538 115 13 ) ) PUNCT cana-538 115 14 = = SYM cana-538 115 15 0 0 NUM cana-538 115 16 , , PUNCT cana-538 115 17 𝐹′(0 𝐹′(0 NOUN cana-538 115 18 ) ) PUNCT cana-538 115 19 = = SYM cana-538 115 20 1 1 NUM cana-538 115 21 , , PUNCT cana-538 115 22 πœƒ(0 πœƒ(0 PROPN cana-538 115 23 ) ) PUNCT cana-538 115 24 = = SYM cana-538 115 25 1,𝐻(0 1,𝐻(0 NUM cana-538 115 26 ) ) PUNCT cana-538 115 27 = = SYM cana-538 115 28 βˆ’n𝐹′′(0 βˆ’n𝐹′′(0 NUM cana-538 115 29 ) ) PUNCT cana-538 115 30 ( ( PUNCT cana-538 115 31 23 23 X cana-538 115 32 ) ) PUNCT cana-538 115 33 𝐹′(𝐹𝑝 𝐹′(𝐹𝑝 NOUN cana-538 115 34 β€²)(∞ β€²)(∞ NOUN cana-538 115 35 ) ) PUNCT cana-538 115 36 β†’ β†’ SYM cana-538 115 37 0 0 NUM cana-538 115 38 , , PUNCT cana-538 115 39 𝐹𝑝 𝐹𝑝 PROPN cana-538 115 40 ( ( PUNCT cana-538 115 41 ∞ ∞ PROPN cana-538 115 42 ) ) PUNCT cana-538 115 43 β†’ β†’ SYM cana-538 115 44 𝐹(∞ 𝐹(∞ NUM cana-538 115 45 ) ) PUNCT cana-538 115 46 , , PUNCT cana-538 115 47 πœƒ(πœƒπ‘)(∞ πœƒ(πœƒπ‘)(∞ NOUN cana-538 115 48 ) ) PUNCT cana-538 115 49 β†’ β†’ SYM cana-538 115 50 0 0 NUM cana-538 115 51 , , PUNCT cana-538 115 52 𝐻(∞ 𝐻(∞ NOUN cana-538 115 53 ) ) PUNCT cana-538 115 54 β†’ β†’ SYM cana-538 115 55 0 0 NUM cana-538 115 56 ( ( PUNCT cana-538 115 57 24 24 NUM cana-538 115 58 ) ) PUNCT cana-538 115 59 where where SCONJ cana-538 115 60 , , PUNCT cana-538 115 61 25 25 NUM cana-538 115 62 10 10 NUM cana-538 115 63 25 25 NUM cana-538 115 64 10 10 NUM cana-538 115 65 1 1 NUM cana-538 115 66 ( ( PUNCT cana-538 115 67 1 1 NUM cana-538 115 68 ) ) PUNCT cana-538 115 69 ( ( PUNCT cana-538 115 70 1 1 X cana-538 115 71 ) ) PUNCT cana-538 115 72 hnf hnf NOUN cana-538 115 73 f f PROPN cana-538 115 74 cnts cnts PROPN cana-538 115 75 fo fo ADP cana-538 115 76 d d NOUN cana-538 115 77   NOUN cana-538 115 78   NOUN cana-538 115 79 οͺ οͺ ADJ cana-538 115 80 οͺ οͺ NOUN cana-538 115 81 = = PUNCT cana-538 115 82 = = PUNCT cana-538 115 83 βˆ’ βˆ’ PROPN cana-538 115 84 βˆ’ βˆ’ NOUN cana-538 115 85 . . PUNCT cana-538 116 1 1 1 NUM cana-538 116 2 ( ( PUNCT cana-538 116 3 1 1 NUM cana-538 116 4 ) ) PUNCT cana-538 116 5 ( ( PUNCT cana-538 116 6 1 1 X cana-538 116 7 ) ) PUNCT cana-538 116 8 cnts cnt NOUN cana-538 116 9 fohnf fohnf NOUN cana-538 116 10 fo fo ADP cana-538 116 11 cnts cnts PROPN cana-538 116 12 cnts cnts PROPN cana-538 116 13 fo fo ADP cana-538 116 14 f f PROPN cana-538 116 15 f f PROPN cana-538 116 16 f f PROPN cana-538 116 17 d d PROPN cana-538 116 18   ADP cana-538 116 19   NOUN cana-538 116 20 οͺ οͺ ADJ cana-538 116 21 οͺ οͺ ADJ cana-538 116 22 οͺ οͺ ADJ cana-538 116 23 οͺ οͺ PROPN cana-538 116 24   NOUN cana-538 116 25   ADP cana-538 116 26   ADP cana-538 116 27   NOUN cana-538 116 28   PROPN cana-538 116 29 οƒΆ οƒΆ PROPN cana-538 116 30   NOUN cana-538 116 31 οƒΆ οƒΆ NOUN cana-538 117 1 = = PUNCT cana-538 118 1 = = PUNCT cana-538 119 1 βˆ’ βˆ’ NOUN cana-538 119 2 βˆ’ βˆ’ PROPN cana-538 120 1 + + CCONJ cana-538 121 1 + + ADP cana-538 121 2   PROPN cana-538 121 3   NOUN cana-538 121 4 οƒ· οƒ· PROPN cana-538 121 5   PROPN cana-538 121 6   NOUN cana-538 122 1 οƒ· οƒ· PROPN cana-538 122 2   PROPN cana-538 122 3 οƒΈ οƒΈ PROPN cana-538 122 4   ADJ cana-538 122 5   NOUN cana-538 122 6 οƒΈ οƒΈ NOUN cana-538 122 7 . . PUNCT cana-538 123 1 2 2 NUM cana-538 123 2 ( ( PUNCT cana-538 123 3 ) ) PUNCT cana-538 123 4 ( ( PUNCT cana-538 123 5 ) ) PUNCT cana-538 123 6 ( ( PUNCT cana-538 123 7 ) ) PUNCT cana-538 123 8 ( ( PUNCT cana-538 123 9 1 1 X cana-538 123 10 ) ) PUNCT cana-538 123 11 ( ( PUNCT cana-538 123 12 1 1 X cana-538 123 13 ) ) PUNCT cana-538 123 14 ( ( PUNCT cana-538 123 15 ) ) PUNCT cana-538 123 16 ( ( PUNCT cana-538 123 17 ) ) PUNCT cana-538 123 18 ( ( PUNCT cana-538 123 19 ) ) PUNCT cana-538 123 20 cnts cnts PROPN cana-538 123 21 fohnf fohnf NOUN cana-538 123 22 fo fo ADP cana-538 123 23 cnts cnts PROPN cana-538 123 24 cnts cnts PROPN cana-538 123 25 fo fo ADP cana-538 123 26 f f PROPN cana-538 123 27 f f PROPN cana-538 123 28 f f PROPN cana-538 123 29 d d X cana-538 123 30   X cana-538 123 31   PUNCT cana-538 123 32 οͺ οͺ PROPN cana-538 123 33 οͺ οͺ PROPN cana-538 123 34 οͺ οͺ ADJ cana-538 123 35 οͺ οͺ ADJ cana-538 123 36   X cana-538 123 37   X cana-538 123 38   X cana-538 123 39   NOUN cana-538 123 40   PROPN cana-538 123 41 οƒΆ οƒΆ PROPN cana-538 123 42   NOUN cana-538 123 43 οƒΆ οƒΆ NOUN cana-538 124 1 = = PUNCT cana-538 125 1 = = PUNCT cana-538 126 1 βˆ’ βˆ’ NOUN cana-538 126 2 βˆ’ βˆ’ PROPN cana-538 127 1 + + CCONJ cana-538 128 1 + + ADP cana-538 128 2   PROPN cana-538 128 3   NOUN cana-538 128 4 οƒ· οƒ· PROPN cana-538 128 5   PROPN cana-538 128 6   NOUN cana-538 129 1 οƒ· οƒ· PROPN cana-538 129 2   PROPN cana-538 129 3 οƒΈ οƒΈ PROPN cana-538 129 4   ADJ cana-538 129 5   NOUN cana-538 129 6 οƒΈ οƒΈ NOUN cana-538 129 7 . . PUNCT cana-538 130 1 3 3 NUM cana-538 130 2 ( ( PUNCT cana-538 130 3 ) ) PUNCT cana-538 130 4 ( ( PUNCT cana-538 130 5 ) ) PUNCT cana-538 130 6 ( ( PUNCT cana-538 130 7 ) ) PUNCT cana-538 130 8 ( ( PUNCT cana-538 130 9 1 1 X cana-538 130 10 ) ) PUNCT cana-538 130 11 ( ( PUNCT cana-538 130 12 1 1 X cana-538 130 13 ) ) PUNCT cana-538 130 14 ( ( PUNCT cana-538 130 15 ) ) PUNCT cana-538 130 16 ( ( PUNCT cana-538 130 17 ) ) PUNCT cana-538 130 18 ( ( PUNCT cana-538 130 19 ) ) PUNCT cana-538 130 20 p p NOUN cana-538 130 21 hnf hnf NOUN cana-538 130 22 p p PROPN cana-538 130 23 cnts cnt NOUN cana-538 130 24 p p NOUN cana-538 131 1 fo fo INTJ cana-538 131 2 fo fo INTJ cana-538 131 3 cnts cnts PROPN cana-538 131 4 cnts cnts PROPN cana-538 131 5 fo fo ADP cana-538 131 6 p p NOUN cana-538 132 1 f f PROPN cana-538 133 1 p p X cana-538 133 2 f f X cana-538 134 1 p p X cana-538 134 2 f f PROPN cana-538 134 3 c c NOUN cana-538 134 4 c c NOUN cana-538 134 5 c c PROPN cana-538 134 6 d d NOUN cana-538 134 7 c c NOUN cana-538 134 8 c c PROPN cana-538 134 9 c c NOUN cana-538 134 10   X cana-538 134 11   ADP cana-538 134 12   ADP cana-538 134 13 οͺ οͺ ADJ cana-538 134 14 οͺ οͺ ADJ cana-538 134 15 οͺ οͺ ADJ cana-538 134 16 οͺ οͺ PROPN cana-538 134 17   NOUN cana-538 134 18   ADP cana-538 134 19   ADP cana-538 134 20   NOUN cana-538 134 21   PROPN cana-538 134 22 οƒΆ οƒΆ PROPN cana-538 134 23   NOUN cana-538 134 24 οƒΆ οƒΆ NOUN cana-538 134 25 = = PUNCT cana-538 135 1 = = PUNCT cana-538 135 2 βˆ’ βˆ’ NOUN cana-538 135 3 βˆ’ βˆ’ PROPN cana-538 136 1 + + CCONJ cana-538 137 1 + + ADP cana-538 137 2   PROPN cana-538 137 3   NOUN cana-538 137 4 οƒ· οƒ· PROPN cana-538 137 5   PROPN cana-538 138 1   NOUN cana-538 139 1 οƒ· οƒ· PROPN cana-538 139 2   PROPN cana-538 139 3   NOUN cana-538 140 1 οƒ· οƒ· PROPN cana-538 140 2   PROPN cana-538 140 3 οƒΈ οƒΈ PROPN cana-538 140 4   ADJ cana-538 140 5   NOUN cana-538 140 6 οƒΈ οƒΈ NOUN cana-538 140 7 . . PUNCT cana-538 141 1 ( ( PUNCT cana-538 141 2 ) ) PUNCT cana-538 141 3 ( ( PUNCT cana-538 141 4 ) ) PUNCT cana-538 141 5 ( ( PUNCT cana-538 141 6 ) ) PUNCT cana-538 141 7 ( ( PUNCT cana-538 141 8 ) ) PUNCT cana-538 141 9 4 4 NUM cana-538 141 10 ( ( PUNCT cana-538 141 11 1 1 NUM cana-538 141 12 ) ) PUNCT cana-538 141 13 ( ( PUNCT cana-538 141 14 1 1 X cana-538 141 15 ) ) PUNCT cana-538 141 16 ( ( PUNCT cana-538 141 17 ) ) PUNCT cana-538 141 18 ( ( PUNCT cana-538 141 19 1 1 X cana-538 141 20 ) ) PUNCT cana-538 141 21 ( ( PUNCT cana-538 141 22 ) ) PUNCT cana-538 141 23 ( ( PUNCT cana-538 141 24 1 1 X cana-538 141 25 ) ) PUNCT cana-538 141 26 ( ( PUNCT cana-538 141 27 1 1 X cana-538 141 28 ) ) PUNCT cana-538 141 29 ( ( PUNCT cana-538 141 30 ) ) PUNCT cana-538 141 31 . . PUNCT cana-538 142 1 ( ( PUNCT cana-538 142 2 1 1 X cana-538 142 3 ) ) PUNCT cana-538 142 4 ( ( PUNCT cana-538 142 5 ) ) PUNCT cana-538 142 6 cnts cnts PROPN cana-538 142 7 f f PROPN cana-538 143 1 cnts cnts PROPN cana-538 143 2 f f PROPN cana-538 143 3 cntshnf cntshnf PROPN cana-538 143 4 f f PROPN cana-538 143 5 cnts cnts PROPN cana-538 143 6 f f PROPN cana-538 143 7 cnts cnts PROPN cana-538 143 8 f f PROPN cana-538 143 9 cnts cnts PROPN cana-538 143 10 fo fo ADP cana-538 143 11 f f NOUN cana-538 144 1 fo fo INTJ cana-538 144 2 f f NOUN cana-538 145 1 fo fo INTJ cana-538 146 1 fo fo INTJ cana-538 146 2 f f NOUN cana-538 147 1 fo fo INTJ cana-538 147 2 f f NOUN cana-538 148 1 fo fo INTJ cana-538 148 2 k k NOUN cana-538 148 3 m m VERB cana-538 148 4 k k NOUN cana-538 148 5 m m VERB cana-538 148 6 k k NOUN cana-538 148 7 kk kk PROPN cana-538 149 1 d d PROPN cana-538 149 2 k k PROPN cana-538 150 1 k k PROPN cana-538 150 2 m m VERB cana-538 150 3 k k X cana-538 151 1 k k PROPN cana-538 151 2 k k PROPN cana-538 152 1 k k PROPN cana-538 152 2 m m VERB cana-538 152 3 k k NOUN cana-538 152 4 m m VERB cana-538 152 5 k k PROPN cana-538 152 6 k k PROPN cana-538 153 1 k k PROPN cana-538 153 2 m m VERB cana-538 153 3 k k X cana-538 153 4 k k PROPN cana-538 153 5 k k PROPN cana-538 154 1 οͺ οͺ PROPN cana-538 154 2 οͺ οͺ PROPN cana-538 154 3 οͺ οͺ PROPN cana-538 154 4 οͺ οͺ PROPN cana-538 154 5 + + CCONJ cana-538 154 6 βˆ’ βˆ’ PROPN cana-538 154 7 βˆ’ βˆ’ NUM cana-538 155 1 βˆ’ βˆ’ NOUN cana-538 155 2 βˆ’ βˆ’ PROPN cana-538 156 1 = = SYM cana-538 156 2 = = PUNCT cana-538 156 3 ο‚΄ ο‚΄ NOUN cana-538 156 4 + + CCONJ cana-538 156 5 βˆ’ βˆ’ PROPN cana-538 157 1 + + CCONJ cana-538 157 2 βˆ’ βˆ’ PROPN cana-538 158 1 + + CCONJ cana-538 158 2 βˆ’ βˆ’ PROPN cana-538 158 3 βˆ’ βˆ’ NUM cana-538 158 4 βˆ’ βˆ’ NOUN cana-538 159 1 βˆ’ βˆ’ PROPN cana-538 160 1 + + CCONJ cana-538 160 2 βˆ’ βˆ’ PROPN cana-538 161 1 + + CCONJ cana-538 161 2 βˆ’ βˆ’ PROPN cana-538 161 3 the the DET cana-538 161 4 parameters parameter NOUN cana-538 161 5 and and CCONJ cana-538 161 6 non non ADJ cana-538 161 7 - - ADJ cana-538 161 8 dimensional dimensional ADJ cana-538 161 9 numbers number NOUN cana-538 161 10 are be AUX cana-538 161 11 specified specify VERB cana-538 161 12 as as ADP cana-538 161 13 pr pr NOUN cana-538 161 14 = = PUNCT cana-538 161 15 ( ( PUNCT cana-538 161 16 πœ‡π‘π‘ πœ‡π‘π‘ VERB cana-538 161 17 π‘˜ π‘˜ X cana-538 161 18 ) ) PUNCT cana-538 161 19 𝑓 𝑓 PROPN cana-538 161 20 , , PUNCT cana-538 161 21 πœ† πœ† X cana-538 161 22 = = SYM cana-538 161 23 πΊπ‘Ÿπ‘₯ πΊπ‘Ÿπ‘₯ PROPN cana-538 161 24 𝑅𝑒2 𝑅𝑒2 NOUN cana-538 161 25 , , PUNCT cana-538 161 26 πΊπ‘Ÿπ‘₯ πΊπ‘Ÿπ‘₯ PROPN cana-538 161 27 = = NOUN cana-538 161 28 𝑔𝛽𝑓(π‘‡π‘€βˆ’π‘‡βˆž)π‘₯ 𝑔𝛽𝑓(π‘‡π‘€βˆ’π‘‡βˆž)π‘₯ PROPN cana-538 161 29 3 3 NUM cana-538 161 30 πœˆπ‘“ πœˆπ‘“ NOUN cana-538 161 31 2 2 NUM cana-538 161 32 , , PUNCT cana-538 161 33 𝑅𝑒 𝑅𝑒 PROPN cana-538 161 34 = = PUNCT cana-538 161 35 π‘₯𝑒𝑀 π‘₯𝑒𝑀 PROPN cana-538 161 36 πœˆπ‘“ πœˆπ‘“ PROPN cana-538 161 37 , , PUNCT cana-538 161 38 πœ– πœ– PROPN cana-538 161 39 = = PUNCT cana-538 161 40 πœˆπ‘“ πœˆπ‘“ PROPN cana-538 161 41 𝑐𝐾𝑝 𝑐𝐾𝑝 PROPN cana-538 161 42 , , PUNCT cana-538 161 43 𝐸𝑐 𝐸𝑐 PROPN cana-538 161 44 = = PUNCT cana-538 161 45 ( ( PUNCT cana-538 161 46 𝑐π‘₯)2 𝑐π‘₯)2 PROPN cana-538 161 47 ( ( PUNCT cana-538 161 48 𝑐𝑝)𝑓 𝑐𝑝)𝑓 PROPN cana-538 161 49 ( ( PUNCT cana-538 161 50 π‘‡π‘€βˆ’π‘‡βˆž π‘‡π‘€βˆ’π‘‡βˆž PROPN cana-538 161 51 ) ) PUNCT cana-538 161 52 , , PUNCT cana-538 161 53 𝑅𝑑 𝑅𝑑 PROPN cana-538 161 54 = = PUNCT cana-538 161 55 16πœŽβˆ—π‘‡βˆž 16πœŽβˆ—π‘‡βˆž NUM cana-538 161 56 3 3 NUM cana-538 161 57 3π‘˜βˆ—βˆ—πΎπ‘“ 3π‘˜βˆ—βˆ—πΎπ‘“ NUM cana-538 161 58 , , PUNCT cana-538 161 59 𝑄 𝑄 PROPN cana-538 161 60 = = SYM cana-538 161 61 𝑄0 𝑄0 PROPN cana-538 162 1 𝑐(πœŒπ‘π‘)𝑓 𝑐(πœŒπ‘π‘)𝑓 PROPN cana-538 162 2 , , PUNCT cana-538 162 3 Ξ΄ Ξ΄ PROPN cana-538 162 4 = = PUNCT cana-538 162 5 c𝛾𝑇 c𝛾𝑇 PROPN cana-538 162 6 , , PUNCT cana-538 162 7 𝐴 𝐴 PROPN cana-538 162 8 = = PUNCT cana-538 163 1 π‘˜ π‘˜ PROPN cana-538 163 2 πœ‡π‘“ πœ‡π‘“ PROPN cana-538 163 3 , , PUNCT cana-538 163 4 πœ’ πœ’ X cana-538 163 5 = = X cana-538 163 6 πœ‹π‘—0𝑀0 πœ‹π‘—0𝑀0 NOUN cana-538 163 7 8𝑐2π‘₯πœŒπ‘“ 8𝑐2π‘₯πœŒπ‘“ PROPN cana-538 163 8 , , PUNCT cana-538 163 9 𝛽𝑣 𝛽𝑣 PROPN cana-538 163 10 = = SYM cana-538 163 11 1 1 NUM cana-538 163 12 cπœπ‘£ cπœπ‘£ ADV cana-538 163 13 , , PUNCT cana-538 163 14 𝛽𝑇 𝛽𝑇 NOUN cana-538 163 15 = = SYM cana-538 163 16 1 1 NUM cana-538 163 17 cπœπ‘‡ cπœπ‘‡ NOUN cana-538 163 18 , , PUNCT cana-538 163 19 πœπ‘£ πœπ‘£ X cana-538 163 20 = = PUNCT cana-538 163 21 π‘š π‘š X cana-538 163 22 π‘˜βˆ— π‘˜βˆ— PROPN cana-538 163 23 , , PUNCT cana-538 163 24 π‘š π‘š X cana-538 163 25 = = PUNCT cana-538 163 26 πœŒπ‘ πœŒπ‘ PROPN cana-538 163 27 𝑠 𝑠 PROPN cana-538 163 28 , , PUNCT cana-538 163 29 Ξ³ Ξ³ X cana-538 163 30 = = SYM cana-538 163 31 ( ( PUNCT cana-538 163 32 𝑐𝑝)𝑓 𝑐𝑝)𝑓 PROPN cana-538 163 33 π‘π‘š π‘π‘š PROPN cana-538 163 34 , , PUNCT cana-538 163 35 b b X cana-538 163 36 = = SYM cana-538 163 37 πœ‹ πœ‹ PROPN cana-538 164 1 π‘Ž π‘Ž NOUN cana-538 164 2 √ √ VERB cana-538 164 3 πœˆπ‘“ πœˆπ‘“ PROPN cana-538 164 4 𝑐 𝑐 PROPN cana-538 164 5 , , PUNCT cana-538 164 6 𝜌p 𝜌p NOUN cana-538 164 7 = = SYM cana-538 164 8 𝐿𝜌f 𝐿𝜌f PROPN cana-538 164 9 . . PUNCT cana-538 165 1 the the DET cana-538 165 2 significant significant ADJ cana-538 165 3 physical physical ADJ cana-538 165 4 quantities quantity NOUN cana-538 165 5 in in ADP cana-538 165 6 engineering engineering NOUN cana-538 165 7 include include VERB cana-538 165 8 the the DET cana-538 165 9 skin skin NOUN cana-538 165 10 friction friction NOUN cana-538 165 11 coefficient coefficient NOUN cana-538 165 12 denoted denote VERB cana-538 165 13 as as ADP cana-538 165 14 𝐢𝑓 𝐢𝑓 PROPN cana-538 165 15 and and CCONJ cana-538 165 16 the the DET cana-538 165 17 local local ADJ cana-538 165 18 nusselt nusselt NOUN cana-538 165 19 number number NOUN cana-538 165 20 represented represent VERB cana-538 165 21 by by ADP cana-538 165 22 𝑁𝑒.these 𝑁𝑒.these ADJ cana-538 165 23 parameters parameter NOUN cana-538 165 24 are be AUX cana-538 165 25 defined define VERB cana-538 165 26 as as ADP cana-538 165 27 : : PUNCT cana-538 165 28 𝐢𝑓 𝐢𝑓 PROPN cana-538 165 29 = = NOUN cana-538 165 30 πœπ‘€ πœπ‘€ NOUN cana-538 165 31 πœŒπ‘“π‘’w πœŒπ‘“π‘’w NOUN cana-538 165 32 2 2 NUM cana-538 165 33 , , PUNCT cana-538 165 34 𝑁𝑒 𝑁𝑒 PROPN cana-538 165 35 = = SYM cana-538 165 36 π‘₯π‘žπ‘€ π‘₯π‘žπ‘€ X cana-538 165 37 π‘˜π‘“ π‘˜π‘“ INTJ cana-538 165 38 ( ( PUNCT cana-538 165 39 π‘‡π‘€βˆ’π‘‡βˆž π‘‡π‘€βˆ’π‘‡βˆž PROPN cana-538 165 40 ) ) PUNCT cana-538 165 41 ( ( PUNCT cana-538 165 42 25 25 NUM cana-538 165 43 ) ) PUNCT cana-538 165 44 where where SCONJ cana-538 165 45 πœπ‘€ πœπ‘€ NOUN cana-538 165 46 = = NOUN cana-538 165 47 πœ‡β„Žπ‘›π‘“(πœ•π‘¦π‘’)𝑦=0 πœ‡β„Žπ‘›π‘“(πœ•π‘¦π‘’)𝑦=0 NOUN cana-538 165 48 , , PUNCT cana-538 165 49 π‘žπ‘€ π‘žπ‘€ NOUN cana-538 165 50 = = PUNCT cana-538 165 51 βˆ’π‘˜β„Žπ‘›π‘“(πœ•π‘¦π‘‡)𝑦=0 βˆ’π‘˜β„Žπ‘›π‘“(πœ•π‘¦π‘‡)𝑦=0 NOUN cana-538 165 52 + + NOUN cana-538 165 53 π‘ž π‘ž X cana-538 165 54 π‘Ÿ. π‘Ÿ. NOUN cana-538 165 55 the the DET cana-538 165 56 dimensionless dimensionless ADJ cana-538 165 57 form form NOUN cana-538 165 58 of of ADP cana-538 165 59 eq eq PROPN cana-538 165 60 . . PUNCT cana-538 166 1 ( ( PUNCT cana-538 166 2 16 16 NUM cana-538 166 3 ) ) PUNCT cana-538 166 4 takes take VERB cana-538 166 5 the the DET cana-538 166 6 form form NOUN cana-538 166 7 . . PUNCT cana-538 167 1 𝑅𝑒 𝑅𝑒 VERB cana-538 167 2 1 1 NUM cana-538 167 3 2⁄ 2⁄ NUM cana-538 167 4 𝐢𝑓 𝐢𝑓 PROPN cana-538 167 5 = = NOUN cana-538 167 6 πœ‡β„Žπ‘›π‘“ πœ‡β„Žπ‘›π‘“ PROPN cana-538 167 7 πœ‡π‘“ πœ‡π‘“ PROPN cana-538 167 8 fβ€²β€²(0),𝑅𝑒 fβ€²β€²(0),𝑅𝑒 NUM cana-538 167 9 βˆ’1 βˆ’1 NOUN cana-538 167 10 2⁄ 2⁄ NUM cana-538 167 11 𝑁𝑒 𝑁𝑒 NOUN cana-538 167 12 = = SYM cana-538 167 13 βˆ’ βˆ’ PROPN cana-538 167 14 ( ( PUNCT cana-538 167 15 π‘˜β„Žπ‘›π‘“ π‘˜β„Žπ‘›π‘“ NOUN cana-538 167 16 π‘˜π‘“ π‘˜π‘“ X cana-538 167 17 + + CCONJ cana-538 167 18 𝑅𝑑)πœƒ 𝑅𝑑)πœƒ PROPN cana-538 167 19 β€²(0 β€²(0 NOUN cana-538 167 20 ) ) PUNCT cana-538 167 21 . . PUNCT cana-538 168 1 ( ( PUNCT cana-538 168 2 26 26 NUM cana-538 168 3 ) ) PUNCT cana-538 168 4 communications communication NOUN cana-538 168 5 on on ADP cana-538 168 6 applied apply VERB cana-538 168 7 nonlinear nonlinear ADJ cana-538 168 8 analysis analysis NOUN cana-538 168 9 issn issn NOUN cana-538 168 10 : : PUNCT cana-538 168 11 1074 1074 NUM cana-538 168 12 - - PUNCT cana-538 168 13 133x 133x NUM cana-538 168 14 vol vol NOUN cana-538 168 15 31 31 NUM cana-538 168 16 no no NOUN cana-538 168 17 . . NOUN cana-538 168 18 2 2 NUM cana-538 168 19 ( ( PUNCT cana-538 168 20 2024 2024 NUM cana-538 168 21 ) ) PUNCT cana-538 168 22 230 230 NUM cana-538 168 23 https://internationalpubls.com https://internationalpubls.com X cana-538 168 24 5 5 X cana-538 168 25 . . PUNCT cana-538 169 1 methods method NOUN cana-538 169 2 non non ADJ cana-538 169 3 - - ADJ cana-538 169 4 linear linear ADJ cana-538 169 5 governing governing NOUN cana-538 169 6 odes ode NOUN cana-538 169 7 ( ( PUNCT cana-538 169 8 18)-(22 18)-(22 NUM cana-538 169 9 ) ) PUNCT cana-538 169 10 and and CCONJ cana-538 169 11 corresponding correspond VERB cana-538 169 12 boundary boundary ADJ cana-538 169 13 conditions condition NOUN cana-538 169 14 ( ( PUNCT cana-538 169 15 23)(24 23)(24 NUM cana-538 169 16 ) ) PUNCT cana-538 169 17 are be AUX cana-538 169 18 solved solve VERB cana-538 169 19 using use VERB cana-538 169 20 matlab matlab PROPN cana-538 169 21 bvp4c bvp4c PROPN cana-538 169 22 . . PUNCT cana-538 170 1 we we PRON cana-538 170 2 converted convert VERB cana-538 170 3 the the DET cana-538 170 4 nonlinear nonlinear ADJ cana-538 170 5 governing governing NOUN cana-538 170 6 ode ode NOUN cana-538 170 7 into into ADP cana-538 170 8 a a DET cana-538 170 9 set set NOUN cana-538 170 10 of of ADP cana-538 170 11 1𝑓𝑑order 1𝑓𝑑order NUM cana-538 170 12 differential differential ADJ cana-538 170 13 equations equation NOUN cana-538 170 14 . . PUNCT cana-538 171 1 the the DET cana-538 171 2 procedure procedure NOUN cana-538 171 3 involved involve VERB cana-538 171 4 considering consider VERB cana-538 171 5 the the DET cana-538 171 6 following follow VERB cana-538 171 7 factors factor NOUN cana-538 171 8 : : PUNCT cana-538 171 9 f f X cana-538 171 10 = = SYM cana-538 171 11 yΜ‚1 yΜ‚1 PROPN cana-538 171 12 , , PUNCT cana-538 171 13 𝐹 𝐹 PROPN cana-538 171 14 β€² β€² NOUN cana-538 171 15 = = SYM cana-538 171 16 y2Μ‚ y2Μ‚ PROPN cana-538 171 17 , , PUNCT cana-538 171 18 f f X cana-538 171 19 β€²β€² β€²β€² PROPN cana-538 171 20 = = SYM cana-538 171 21 yΜ‚3 yΜ‚3 PROPN cana-538 171 22 , , PUNCT cana-538 171 23 πœƒ πœƒ X cana-538 171 24 = = PUNCT cana-538 171 25 yΜ‚4 yΜ‚4 ADV cana-538 171 26 , , PUNCT cana-538 171 27 πœƒ πœƒ NOUN cana-538 171 28 β€² β€² NOUN cana-538 171 29 = = SYM cana-538 171 30 yΜ‚5 yΜ‚5 PROPN cana-538 171 31 , , PUNCT cana-538 171 32 h h NOUN cana-538 171 33 = = SYM cana-538 171 34 yΜ‚6 yΜ‚6 PROPN cana-538 171 35 , , PUNCT cana-538 171 36 h h NOUN cana-538 171 37 β€² β€² NOUN cana-538 172 1 = = PUNCT cana-538 172 2 yΜ‚7 yΜ‚7 PROPN cana-538 172 3 , , PUNCT cana-538 172 4 𝐹𝑝 𝐹𝑝 PROPN cana-538 172 5 = = PUNCT cana-538 172 6 yΜ‚8 yΜ‚8 PROPN cana-538 172 7 , , PUNCT cana-538 172 8 𝐹𝑝 𝐹𝑝 PROPN cana-538 172 9 β€² β€² NUM cana-538 172 10 = = PUNCT cana-538 172 11 yΜ‚9 yΜ‚9 PROPN cana-538 172 12 , , PUNCT cana-538 172 13 θ𝑝 θ𝑝 ADP cana-538 172 14 = = SYM cana-538 172 15 yΜ‚10 yΜ‚10 PROPN cana-538 172 16 . . PUNCT cana-538 173 1 ( ( PUNCT cana-538 173 2 27 27 NUM cana-538 173 3 ) ) PUNCT cana-538 173 4 the the DET cana-538 173 5 first first ADJ cana-538 173 6 - - PUNCT cana-538 173 7 order order NOUN cana-538 173 8 differential differential ADJ cana-538 173 9 equations equation NOUN cana-538 173 10 are be AUX cana-538 173 11 as as SCONJ cana-538 173 12 follows follow VERB cana-538 173 13 : : PUNCT cana-538 173 14 fβ€²β€²β€² fβ€²β€²β€² NOUN cana-538 173 15 = = PUNCT cana-538 173 16 [ [ PUNCT cana-538 173 17 1 1 NUM cana-538 173 18 d+𝐴 d+𝐴 NOUN cana-538 173 19 ] ] PUNCT cana-538 173 20 ( ( PUNCT cana-538 173 21 𝐷1( 𝐷1( PROPN cana-538 173 22 οΏ½ οΏ½ PROPN cana-538 173 23 Μ‚ Μ‚ NOUN cana-538 173 24 οΏ½ οΏ½ NOUN cana-538 173 25 2 2 NUM cana-538 173 26 2 2 NUM cana-538 173 27 βˆ’ βˆ’ NOUN cana-538 173 28 yΜ‚1yΜ‚3 yΜ‚1yΜ‚3 PROPN cana-538 173 29 βˆ’ βˆ’ PROPN cana-538 173 30 𝐷2Ξ»yΜ‚4 𝐷2Ξ»yΜ‚4 ADV cana-538 173 31 ) ) PUNCT cana-538 173 32 βˆ’ βˆ’ PROPN cana-538 173 33 l𝛽𝑣(yΜ‚9 l𝛽𝑣(yΜ‚9 ADJ cana-538 173 34 βˆ’ βˆ’ PROPN cana-538 173 35 yΜ‚2 yΜ‚2 PROPN cana-538 173 36 ) ) PUNCT cana-538 174 1 βˆ’ βˆ’ PROPN cana-538 175 1 ayΜ‚7 ayΜ‚7 PROPN cana-538 175 2 + + NUM cana-538 175 3 dπœ–yΜ‚2 dπœ–yΜ‚2 PROPN cana-538 175 4 βˆ’ βˆ’ NOUN cana-538 175 5 πœ’π‘’ πœ’π‘’ INTJ cana-538 175 6 ( ( PUNCT cana-538 175 7 βˆ’π΅πœ‚ βˆ’π΅πœ‚ NOUN cana-538 175 8 ) ) PUNCT cana-538 175 9 ) ) PUNCT cana-538 175 10 , , PUNCT cana-538 175 11 ( ( PUNCT cana-538 175 12 28 28 X cana-538 175 13 ) ) PUNCT cana-538 175 14 πœƒβ€²β€² πœƒβ€²β€² NOUN cana-538 175 15 = = PUNCT cana-538 176 1 [ [ PUNCT cana-538 176 2 1 1 NUM cana-538 176 3 ( ( PUNCT cana-538 176 4 1 1 NUM cana-538 176 5 𝐷3(𝐷4+𝑅𝑑)βˆ’prδ⁄ 𝐷3(𝐷4+𝑅𝑑)βˆ’prδ⁄ PROPN cana-538 176 6 οΏ½ οΏ½ PROPN cana-538 176 7 Μ‚ Μ‚ NOUN cana-538 176 8 οΏ½ οΏ½ NOUN cana-538 176 9 1 1 NUM cana-538 176 10 2 2 NUM cana-538 176 11 ) ) PUNCT cana-538 176 12 ] ] PUNCT cana-538 177 1 ( ( PUNCT cana-538 177 2 ( ( PUNCT cana-538 177 3 βˆ’pr βˆ’pr NOUN cana-538 177 4 ) ) PUNCT cana-538 178 1 [ [ X cana-538 178 2 lβ𝑇(yΜ‚10 lβ𝑇(yΜ‚10 NOUN cana-538 178 3 βˆ’ βˆ’ NOUN cana-538 178 4 yΜ‚4 yΜ‚4 ADV cana-538 178 5 ) ) PUNCT cana-538 179 1 + + CCONJ cana-538 179 2 l𝛽𝑣𝐸𝑐(yΜ‚9 l𝛽𝑣𝐸𝑐(yΜ‚9 PROPN cana-538 179 3 βˆ’ βˆ’ PROPN cana-538 179 4 yΜ‚2 yΜ‚2 PROPN cana-538 179 5 ) ) PUNCT cana-538 180 1 2 2 NUM cana-538 180 2 βˆ’ βˆ’ PROPN cana-538 180 3 Ξ΄( Ξ΄( PROPN cana-538 180 4 οΏ½ οΏ½ SYM cana-538 180 5 Μ‚ Μ‚ NOUN cana-538 180 6 οΏ½ οΏ½ NOUN cana-538 180 7 2 2 NUM cana-538 180 8 2yΜ‚4 2yΜ‚4 NUM cana-538 180 9 βˆ’ βˆ’ NOUN cana-538 180 10 yΜ‚1yΜ‚3yΜ‚4 yΜ‚1yΜ‚3yΜ‚4 ADV cana-538 180 11 βˆ’ βˆ’ ADP cana-538 180 12 yΜ‚1yΜ‚2yΜ‚5 yΜ‚1yΜ‚2yΜ‚5 ADJ cana-538 180 13 ) ) PUNCT cana-538 180 14 βˆ’ βˆ’ PROPN cana-538 180 15 1 1 NUM cana-538 180 16 𝐷3 𝐷3 NOUN cana-538 180 17 q(yΜ‚2yΜ‚4 q(yΜ‚2yΜ‚4 ADV cana-538 180 18 βˆ’ βˆ’ PROPN cana-538 180 19 yΜ‚1yΜ‚5 yΜ‚1yΜ‚5 PROPN cana-538 180 20 ) ) PUNCT cana-538 180 21 ) ) PUNCT cana-538 181 1 βˆ’ βˆ’ PROPN cana-538 182 1 yΜ‚2yΜ‚4 yΜ‚2yΜ‚4 CCONJ cana-538 182 2 + + CCONJ cana-538 182 3 yΜ‚1yΜ‚5 yΜ‚1yΜ‚5 NOUN cana-538 182 4 ] ] X cana-538 182 5 + + CCONJ cana-538 182 6 1 1 NUM cana-538 182 7 𝐷3 𝐷3 NOUN cana-538 182 8 qyΜ‚4 qyΜ‚4 NOUN cana-538 182 9 ) ) PUNCT cana-538 182 10 , , PUNCT cana-538 182 11 ( ( PUNCT cana-538 182 12 29 29 NUM cana-538 182 13 ) ) PUNCT cana-538 182 14 𝐻′′ 𝐻′′ X cana-538 182 15 = = PUNCT cana-538 183 1 [ [ PUNCT cana-538 183 2 1 1 NUM cana-538 183 3 ( ( PUNCT cana-538 183 4 1 1 NUM cana-538 183 5 𝐷1(d+𝐴 𝐷1(d+𝐴 NOUN cana-538 183 6 2⁄ 2⁄ NUM cana-538 183 7 ) ) PUNCT cana-538 183 8 ⁄ ⁄ PROPN cana-538 183 9 ) ) PUNCT cana-538 183 10 ] ] PUNCT cana-538 184 1 ( ( PUNCT cana-538 184 2 ( ( PUNCT cana-538 184 3 1 1 NUM cana-538 184 4 𝐷1 𝐷1 NOUN cana-538 184 5 ) ) PUNCT cana-538 184 6 π΄π΅βˆ—(2yΜ‚6 π΄π΅βˆ—(2yΜ‚6 VERB cana-538 184 7 + + CCONJ cana-538 184 8 yΜ‚3 yΜ‚3 PUNCT cana-538 184 9 ) ) PUNCT cana-538 185 1 + + CCONJ cana-538 185 2 yΜ‚2yΜ‚6 yΜ‚2yΜ‚6 VERB cana-538 185 3 βˆ’ βˆ’ PROPN cana-538 185 4 yΜ‚1yΜ‚7 yΜ‚1yΜ‚7 PROPN cana-538 185 5 ) ) PUNCT cana-538 185 6 , , PUNCT cana-538 185 7 ( ( PUNCT cana-538 185 8 30 30 X cana-538 185 9 ) ) PUNCT cana-538 185 10 𝐹𝑝 𝐹𝑝 PROPN cana-538 185 11 β€²β€² β€²β€² PROPN cana-538 185 12 = = NOUN cana-538 185 13 1 1 NUM cana-538 185 14 y8 y8 PROPN cana-538 185 15 ( ( PUNCT cana-538 185 16 οΏ½ οΏ½ PROPN cana-538 185 17 Μ‚ Μ‚ VERB cana-538 185 18 οΏ½ οΏ½ NOUN cana-538 185 19 9 9 NUM cana-538 185 20 2 2 NUM cana-538 185 21 + + CCONJ cana-538 185 22 𝛽𝑣(yΜ‚2 𝛽𝑣(yΜ‚2 PROPN cana-538 185 23 βˆ’ βˆ’ PROPN cana-538 185 24 yΜ‚9 yΜ‚9 PROPN cana-538 185 25 ) ) PUNCT cana-538 185 26 ) ) PUNCT cana-538 185 27 , , PUNCT cana-538 185 28 ( ( PUNCT cana-538 185 29 31 31 NUM cana-538 185 30 ) ) PUNCT cana-538 185 31 πœƒπ‘ πœƒπ‘ NOUN cana-538 185 32 β€² β€² NUM cana-538 185 33 = = SYM cana-538 185 34 1 1 NUM cana-538 185 35 y8 y8 NOUN cana-538 185 36 ( ( PUNCT cana-538 185 37 yΜ‚9yΜ‚10 yΜ‚9yΜ‚10 PROPN cana-538 185 38 + + CCONJ cana-538 185 39 γ𝛽𝑇(yΜ‚10 γ𝛽𝑇(yΜ‚10 NOUN cana-538 185 40 βˆ’ βˆ’ NOUN cana-538 185 41 yΜ‚4 yΜ‚4 ADV cana-538 185 42 ) ) PUNCT cana-538 185 43 ) ) PUNCT cana-538 185 44 . . PUNCT cana-538 186 1 ( ( PUNCT cana-538 186 2 32 32 NUM cana-538 186 3 ) ) PUNCT cana-538 186 4 the the DET cana-538 186 5 boundary boundary ADJ cana-538 186 6 conditions condition NOUN cana-538 186 7 equations equation NOUN cana-538 186 8 ( ( PUNCT cana-538 186 9 23)-(24 23)-(24 NUM cana-538 186 10 ) ) PUNCT cana-538 186 11 are be AUX cana-538 186 12 as as SCONJ cana-538 186 13 follows follow VERB cana-538 186 14 : : PUNCT cana-538 187 1 yΜ‚1 yΜ‚1 PROPN cana-538 187 2 = = SYM cana-538 187 3 0 0 PROPN cana-538 187 4 , , PUNCT cana-538 187 5 yΜ‚2 yΜ‚2 NOUN cana-538 187 6 = = PUNCT cana-538 187 7 1 1 NUM cana-538 187 8 , , PUNCT cana-538 187 9 yΜ‚4 yΜ‚4 ADV cana-538 187 10 = = NOUN cana-538 187 11 1 1 NUM cana-538 187 12 , , PUNCT cana-538 187 13 yΜ‚6 yΜ‚6 NOUN cana-538 187 14 = = SYM cana-538 188 1 𝑛yΜ‚3 𝑛yΜ‚3 PROPN cana-538 188 2 π‘Žπ‘‘πœ‚ π‘Žπ‘‘πœ‚ NOUN cana-538 189 1 = = SYM cana-538 189 2 0 0 NUM cana-538 190 1 ( ( PUNCT cana-538 190 2 33 33 NUM cana-538 190 3 ) ) PUNCT cana-538 190 4 yΜ‚2 yΜ‚2 NOUN cana-538 190 5 = = PUNCT cana-538 191 1 0 0 PROPN cana-538 191 2 , , PUNCT cana-538 191 3 yΜ‚9 yΜ‚9 PROPN cana-538 191 4 = = NOUN cana-538 191 5 0 0 NUM cana-538 191 6 , , PUNCT cana-538 191 7 yΜ‚8 yΜ‚8 NOUN cana-538 192 1 = = SYM cana-538 192 2 yΜ‚1 yΜ‚1 PROPN cana-538 192 3 , , PUNCT cana-538 192 4 yΜ‚4 yΜ‚4 NOUN cana-538 192 5 = = NOUN cana-538 192 6 0 0 NUM cana-538 192 7 , , PUNCT cana-538 192 8 , , PUNCT cana-538 192 9 yΜ‚10 yΜ‚10 PROPN cana-538 192 10 = = SYM cana-538 192 11 0 0 NUM cana-538 192 12 , , PUNCT cana-538 192 13 yΜ‚6 yΜ‚6 PUNCT cana-538 193 1 = = SYM cana-538 193 2 0 0 NUM cana-538 193 3 π‘Žπ‘  π‘Žπ‘  NOUN cana-538 193 4 πœ‚ πœ‚ PROPN cana-538 193 5 ⟢ ⟢ NOUN cana-538 193 6 ∞ ∞ NUM cana-538 193 7 ( ( PUNCT cana-538 193 8 34 34 NUM cana-538 193 9 ) ) PUNCT cana-538 193 10 the the DET cana-538 193 11 matlab matlab PROPN cana-538 193 12 bvp4c bvp4c PROPN cana-538 193 13 solver solver PROPN cana-538 193 14 employs employ VERB cana-538 193 15 these these DET cana-538 193 16 first first ADJ cana-538 193 17 - - PUNCT cana-538 193 18 order order NOUN cana-538 193 19 differential differential ADJ cana-538 193 20 equations equation NOUN cana-538 193 21 and and CCONJ cana-538 193 22 boundary boundary ADJ cana-538 193 23 conditions condition NOUN cana-538 193 24 to to PART cana-538 193 25 investigate investigate VERB cana-538 193 26 the the DET cana-538 193 27 impact impact NOUN cana-538 193 28 of of ADP cana-538 193 29 variables variable NOUN cana-538 193 30 on on ADP cana-538 193 31 consecutive consecutive ADJ cana-538 193 32 profiles profile NOUN cana-538 193 33 . . PUNCT cana-538 194 1 6 6 X cana-538 194 2 . . X cana-538 194 3 results result NOUN cana-538 194 4 and and CCONJ cana-538 194 5 discussion discussion VERB cana-538 194 6 a a DET cana-538 194 7 mathematical mathematical ADJ cana-538 194 8 exploration exploration NOUN cana-538 194 9 has have AUX cana-538 194 10 been be AUX cana-538 194 11 exhibited exhibit VERB cana-538 194 12 to to PART cana-538 194 13 examine examine VERB cana-538 194 14 the the DET cana-538 194 15 impacts impact NOUN cana-538 194 16 of of ADP cana-538 194 17 the the DET cana-538 194 18 dust dust NOUN cana-538 194 19 micropolar micropolar NOUN cana-538 194 20 hybrid hybrid NOUN cana-538 194 21 flow flow NOUN cana-538 194 22 of of ADP cana-538 194 23 hybrid hybrid NOUN cana-538 194 24 nanofluids nanofluid NOUN cana-538 194 25 over over ADP cana-538 194 26 a a DET cana-538 194 27 riga riga ADJ cana-538 194 28 surface surface NOUN cana-538 194 29 subjected subject VERB cana-538 194 30 to to ADP cana-538 194 31 the the DET cana-538 194 32 influence influence NOUN cana-538 194 33 of of ADP cana-538 194 34 c c NOUN cana-538 194 35 - - PUNCT cana-538 194 36 c c NOUN cana-538 194 37 with with ADP cana-538 194 38 heat heat NOUN cana-538 194 39 generation generation NOUN cana-538 194 40 impact impact NOUN cana-538 194 41 . . PUNCT cana-538 195 1 the the DET cana-538 195 2 consequences consequence NOUN cana-538 195 3 of of ADP cana-538 195 4 several several ADJ cana-538 195 5 considerable considerable ADJ cana-538 195 6 system system NOUN cana-538 195 7 parameters parameter NOUN cana-538 195 8 on on ADP cana-538 195 9 the the DET cana-538 195 10 flow flow NOUN cana-538 195 11 pattern pattern NOUN cana-538 195 12 have have AUX cana-538 195 13 been be AUX cana-538 195 14 thoroughly thoroughly ADV cana-538 195 15 debated debate VERB cana-538 195 16 in in ADP cana-538 195 17 the the DET cana-538 195 18 previous previous ADJ cana-538 195 19 section section NOUN cana-538 195 20 . . PUNCT cana-538 196 1 some some DET cana-538 196 2 important important ADJ cana-538 196 3 observations observation NOUN cana-538 196 4 are be AUX cana-538 196 5 summarized summarize VERB cana-538 196 6 below below ADP cana-538 196 7 : : PUNCT cana-538 196 8 communications communication NOUN cana-538 196 9 on on ADP cana-538 196 10 applied apply VERB cana-538 196 11 nonlinear nonlinear ADJ cana-538 196 12 analysis analysis NOUN cana-538 196 13 issn issn NOUN cana-538 196 14 : : PUNCT cana-538 196 15 1074 1074 NUM cana-538 196 16 - - PUNCT cana-538 196 17 133x 133x NUM cana-538 196 18 vol vol NOUN cana-538 196 19 31 31 NUM cana-538 196 20 no no NOUN cana-538 196 21 . . NOUN cana-538 196 22 2 2 NUM cana-538 196 23 ( ( PUNCT cana-538 196 24 2024 2024 NUM cana-538 196 25 ) ) PUNCT cana-538 196 26 231 231 NUM cana-538 196 27 https://internationalpubls.com https://internationalpubls.com X cana-538 196 28 table table NOUN cana-538 196 29 3 3 NUM cana-538 196 30 : : PUNCT cana-538 196 31 the the DET cana-538 196 32 specific specific ADJ cana-538 196 33 numerical numerical ADJ cana-538 196 34 values value NOUN cana-538 196 35 of of ADP cana-538 196 36 local local ADJ cana-538 196 37 nusselt nusselt NOUN cana-538 196 38 number number NOUN cana-538 196 39 for for ADP cana-538 196 40 various various ADJ cana-538 196 41 values value NOUN cana-538 196 42 of of ADP cana-538 196 43 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 196 44 when when SCONJ cana-538 196 45 𝐴 𝐴 PROPN cana-538 196 46 = = PUNCT cana-538 196 47 πœ† πœ† PROPN cana-538 196 48 = = PUNCT cana-538 196 49 𝐿 𝐿 NOUN cana-538 196 50 = = NOUN cana-538 196 51 𝛽𝑣 𝛽𝑣 NOUN cana-538 196 52 = = NOUN cana-538 196 53 νœ€ νœ€ NOUN cana-538 196 54 = = X cana-538 196 55 πœ’ πœ’ NOUN cana-538 196 56 = = SYM cana-538 196 57 𝐡 𝐡 NOUN cana-538 196 58 = = PUNCT cana-538 197 1 𝑅𝑑 𝑅𝑑 NOUN cana-538 197 2 = = PUNCT cana-538 197 3 𝛽𝑇 𝛽𝑇 PROPN cana-538 198 1 = = PUNCT cana-538 198 2 𝐸𝑐 𝐸𝑐 PROPN cana-538 198 3 = = PUNCT cana-538 198 4 𝛿 𝛿 ADJ cana-538 198 5 = = SYM cana-538 198 6 𝑄 𝑄 NOUN cana-538 198 7 = = NOUN cana-538 198 8 𝐡1 𝐡1 NOUN cana-538 198 9 = = SYM cana-538 198 10 𝑛 𝑛 PROPN cana-538 198 11 = = SYM cana-538 198 12 𝛾 𝛾 PROPN cana-538 198 13 = = SYM cana-538 198 14 0 0 X cana-538 198 15 . . PUNCT cana-538 199 1 pr pr PROPN cana-538 199 2 mahdy mahdy NOUN cana-538 200 1 [ [ X cana-538 200 2 47 47 NUM cana-538 200 3 ] ] PUNCT cana-538 200 4 das das PROPN cana-538 200 5 et et NOUN cana-538 200 6 al.[48 al.[48 PROPN cana-538 200 7 ] ] PUNCT cana-538 200 8 present present ADJ cana-538 200 9 study study NOUN cana-538 200 10 0.72 0.72 NUM cana-538 200 11 1.00 1.00 NUM cana-538 200 12 3.00 3.00 NUM cana-538 200 13 7.00 7.00 NUM cana-538 200 14 10.0 10.0 NUM cana-538 200 15 0.80868 0.80868 NUM cana-538 200 16 1.00000 1.00000 NUM cana-538 200 17 1.92368 1.92368 NUM cana-538 200 18 3.07224 3.07224 NUM cana-538 200 19 3.72067 3.72067 NUM cana-538 200 20 0.80876 0.80876 NUM cana-538 200 21 1.00000 1.00000 NUM cana-538 200 22 1.92357 1.92357 NUM cana-538 200 23 3.07314 3.07314 NUM cana-538 200 24 3.72055 3.72055 NUM cana-538 200 25 0.80863 0.80863 NUM cana-538 200 26 1.00000 1.00000 NUM cana-538 200 27 1.92368 1.92368 NUM cana-538 200 28 3.07225 3.07225 NUM cana-538 200 29 3.72067 3.72067 NUM cana-538 200 30 ( ( PUNCT cana-538 200 31 swcnt swcnt ADP cana-538 200 32 - - PUNCT cana-538 200 33 fe3o4 fe3o4 NOUN cana-538 200 34 ) ) PUNCT cana-538 200 35 ( ( PUNCT cana-538 200 36 swcnt swcnt ADV cana-538 200 37 - - PUNCT cana-538 200 38 fe3o4 fe3o4 NOUN cana-538 200 39 ) ) PUNCT cana-538 200 40 --------(mwcnt --------(mwcnt ADV cana-538 200 41 - - PUNCT cana-538 200 42 fe3o4 fe3o4 NOUN cana-538 200 43 ) ) PUNCT cana-538 200 44 --------(mwcnt --------(mwcnt ADV cana-538 200 45 - - PUNCT cana-538 200 46 fe3o4 fe3o4 NOUN cana-538 200 47 ) ) PUNCT cana-538 200 48 figure-3 figure-3 NUM cana-538 200 49 : : PUNCT cana-538 200 50 impact impact NOUN cana-538 200 51 of of ADP cana-538 200 52 𝑅𝑑 𝑅𝑑 ADP cana-538 200 53 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-538 200 54 ) ) PUNCT cana-538 200 55 figure-4 figure-4 PROPN cana-538 200 56 : : PUNCT cana-538 200 57 impact impact NOUN cana-538 200 58 of of ADP cana-538 200 59 𝑅𝑑on 𝑅𝑑on PROPN cana-538 200 60 πœƒπ‘(πœ‚ πœƒπ‘(πœ‚ NUM cana-538 200 61 ) ) PUNCT cana-538 200 62 when when SCONJ cana-538 200 63 𝐴 𝐴 PROPN cana-538 200 64 = = PUNCT cana-538 200 65 πœ† πœ† PROPN cana-538 200 66 = = PUNCT cana-538 200 67 𝐿 𝐿 NOUN cana-538 200 68 = = NOUN cana-538 200 69 𝛽𝑣 𝛽𝑣 NOUN cana-538 200 70 = = NOUN cana-538 200 71 νœ€ νœ€ NOUN cana-538 200 72 = = X cana-538 200 73 πœ’ πœ’ NOUN cana-538 200 74 = = SYM cana-538 200 75 𝐡 𝐡 NOUN cana-538 200 76 = = SYM cana-538 200 77 πœ‚ πœ‚ NOUN cana-538 200 78 = = PUNCT cana-538 200 79 𝑅𝑑 𝑅𝑑 NOUN cana-538 200 80 = = PUNCT cana-538 200 81 𝛽𝑇 𝛽𝑇 PROPN cana-538 201 1 = = PUNCT cana-538 201 2 𝐸𝑐 𝐸𝑐 PROPN cana-538 201 3 = = PUNCT cana-538 201 4 𝛿 𝛿 ADJ cana-538 201 5 = = SYM cana-538 201 6 𝑄 𝑄 NOUN cana-538 201 7 = = NOUN cana-538 201 8 𝐡1 𝐡1 NOUN cana-538 201 9 = = SYM cana-538 201 10 𝑛 𝑛 PROPN cana-538 201 11 = = SYM cana-538 201 12 𝛾 𝛾 PROPN cana-538 201 13 = = SYM cana-538 201 14 0.1 0.1 NUM cana-538 201 15 . . PUNCT cana-538 202 1 figure figure VERB cana-538 202 2 3 3 NUM cana-538 202 3 - - SYM cana-538 202 4 4 4 NUM cana-538 202 5 : : PUNCT cana-538 202 6 depict depict VERB cana-538 202 7 the the DET cana-538 202 8 influence influence NOUN cana-538 202 9 of of ADP cana-538 202 10 𝑅𝑑 𝑅𝑑 PROPN cana-538 202 11 on on ADP cana-538 202 12 temperature temperature NOUN cana-538 202 13 profiles profile NOUN cana-538 202 14 ( ( PUNCT cana-538 202 15 ΞΈ ΞΈ NOUN cana-538 202 16 ) ) PUNCT cana-538 202 17 for for ADP cana-538 202 18 swcnt swcnt ADJ cana-538 202 19 - - PUNCT cana-538 202 20 fe3o4 fe3o4 NOUN cana-538 202 21 and and CCONJ cana-538 202 22 mwcnt mwcnt ADJ cana-538 202 23 - - PUNCT cana-538 202 24 fe3o4 fe3o4 NOUN cana-538 202 25 nanofluids nanofluid NOUN cana-538 202 26 . . PUNCT cana-538 203 1 increasing increase VERB cana-538 203 2 𝑅𝑑 𝑅𝑑 PROPN cana-538 203 3 leads lead VERB cana-538 203 4 to to ADP cana-538 203 5 notable notable ADJ cana-538 203 6 changes change NOUN cana-538 203 7 in in ADP cana-538 203 8 temperature temperature NOUN cana-538 203 9 distribution distribution NOUN cana-538 203 10 along along ADP cana-538 203 11 the the DET cana-538 203 12 riga riga PROPN cana-538 203 13 surface surface NOUN cana-538 203 14 ( ( PUNCT cana-538 203 15 Ξ· Ξ· NOUN cana-538 203 16 ) ) PUNCT cana-538 203 17 , , PUNCT cana-538 203 18 indicating indicate VERB cana-538 203 19 alterations alteration NOUN cana-538 203 20 in in ADP cana-538 203 21 heat heat NOUN cana-538 203 22 transfer transfer NOUN cana-538 203 23 characteristics characteristic NOUN cana-538 203 24 . . PUNCT cana-538 204 1 these these DET cana-538 204 2 changes change NOUN cana-538 204 3 are be AUX cana-538 204 4 attributed attribute VERB cana-538 204 5 to to ADP cana-538 204 6 enhanced enhance VERB cana-538 204 7 thermal thermal ADJ cana-538 204 8 radiation radiation NOUN cana-538 204 9 effects effect NOUN cana-538 204 10 , , PUNCT cana-538 204 11 impacting impact VERB cana-538 204 12 heat heat NOUN cana-538 204 13 transfer transfer NOUN cana-538 204 14 rates rate NOUN cana-538 204 15 near near ADP cana-538 204 16 the the DET cana-538 204 17 surface surface NOUN cana-538 204 18 . . PUNCT cana-538 205 1 communications communication NOUN cana-538 205 2 on on ADP cana-538 205 3 applied apply VERB cana-538 205 4 nonlinear nonlinear ADJ cana-538 205 5 analysis analysis NOUN cana-538 205 6 issn issn NOUN cana-538 205 7 : : PUNCT cana-538 205 8 1074 1074 NUM cana-538 205 9 - - PUNCT cana-538 205 10 133x 133x NUM cana-538 205 11 vol vol NOUN cana-538 205 12 31 31 NUM cana-538 205 13 no no NOUN cana-538 205 14 . . NOUN cana-538 205 15 2 2 NUM cana-538 205 16 ( ( PUNCT cana-538 205 17 2024 2024 NUM cana-538 205 18 ) ) PUNCT cana-538 205 19 232 232 NUM cana-538 206 1 https://internationalpubls.com https://internationalpubls.com X cana-538 206 2 ( ( PUNCT cana-538 206 3 swcnt swcnt PROPN cana-538 206 4 - - PUNCT cana-538 206 5 fe3o4 fe3o4 NOUN cana-538 206 6 ) ) PUNCT cana-538 206 7 ( ( PUNCT cana-538 206 8 swcnt swcnt ADV cana-538 206 9 - - PUNCT cana-538 206 10 fe3o4 fe3o4 NOUN cana-538 206 11 ) ) PUNCT cana-538 206 12 --------(mwcnt --------(mwcnt ADV cana-538 206 13 - - PUNCT cana-538 206 14 fe3o4 fe3o4 NOUN cana-538 206 15 ) ) PUNCT cana-538 206 16 --------(mwcnt --------(mwcnt ADV cana-538 206 17 - - PUNCT cana-538 206 18 fe3o4 fe3o4 NOUN cana-538 206 19 ) ) PUNCT cana-538 206 20 figure-5 figure-5 NUM cana-538 206 21 : : PUNCT cana-538 206 22 impact impact NOUN cana-538 206 23 of of ADP cana-538 206 24 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 206 25 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-538 206 26 ) ) PUNCT cana-538 206 27 figure-6 figure-6 NUM cana-538 206 28 : : PUNCT cana-538 206 29 impact impact NOUN cana-538 206 30 of of ADP cana-538 206 31 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 206 32 on on ADP cana-538 206 33 πœƒπ‘(πœ‚ πœƒπ‘(πœ‚ NUM cana-538 206 34 ) ) PUNCT cana-538 206 35 when when SCONJ cana-538 206 36 𝐴 𝐴 PROPN cana-538 206 37 = = PUNCT cana-538 206 38 πœ† πœ† PROPN cana-538 206 39 = = PUNCT cana-538 206 40 𝐿 𝐿 NOUN cana-538 206 41 = = NOUN cana-538 206 42 𝛽𝑣 𝛽𝑣 NOUN cana-538 206 43 = = NOUN cana-538 206 44 νœ€ νœ€ NOUN cana-538 206 45 = = X cana-538 206 46 πœ’ πœ’ NOUN cana-538 206 47 = = SYM cana-538 206 48 𝐡 𝐡 NOUN cana-538 206 49 = = PUNCT cana-538 206 50 𝑅𝑑 𝑅𝑑 NOUN cana-538 206 51 = = PUNCT cana-538 207 1 𝛽𝑇 𝛽𝑇 PROPN cana-538 207 2 = = PUNCT cana-538 207 3 𝐸𝑐 𝐸𝑐 PROPN cana-538 207 4 = = PUNCT cana-538 207 5 𝛿 𝛿 ADJ cana-538 207 6 = = SYM cana-538 207 7 𝑄 𝑄 NOUN cana-538 207 8 = = NOUN cana-538 207 9 𝐡1 𝐡1 NOUN cana-538 207 10 = = SYM cana-538 207 11 𝑛 𝑛 PROPN cana-538 207 12 = = SYM cana-538 207 13 𝛾 𝛾 PROPN cana-538 207 14 = = SYM cana-538 207 15 0.1 0.1 NUM cana-538 207 16 . . PUNCT cana-538 208 1 these these DET cana-538 208 2 figures figure NOUN cana-538 208 3 demonstrate demonstrate VERB cana-538 208 4 how how SCONJ cana-538 208 5 the the DET cana-538 208 6 prandtl prandtl NOUN cana-538 208 7 number number NOUN cana-538 208 8 ( ( PUNCT cana-538 208 9 pr pr NOUN cana-538 208 10 ) ) PUNCT cana-538 208 11 influences influence VERB cana-538 208 12 temperature temperature NOUN cana-538 208 13 profiles profile NOUN cana-538 208 14 ( ( PUNCT cana-538 208 15 πœƒπ‘ πœƒπ‘ NOUN cana-538 208 16 ) ) PUNCT cana-538 208 17 for for ADP cana-538 208 18 different different ADJ cana-538 208 19 nanofluid nanofluid ADJ cana-538 208 20 compositions composition NOUN cana-538 208 21 . . PUNCT cana-538 209 1 they they PRON cana-538 209 2 show show VERB cana-538 209 3 how how SCONJ cana-538 209 4 changing change VERB cana-538 209 5 pr pr NOUN cana-538 209 6 affects affect VERB cana-538 209 7 the the DET cana-538 209 8 distribution distribution NOUN cana-538 209 9 of of ADP cana-538 209 10 temperature temperature NOUN cana-538 209 11 within within ADP cana-538 209 12 the the DET cana-538 209 13 nanofluid nanofluid NOUN cana-538 209 14 , , PUNCT cana-538 209 15 providing provide VERB cana-538 209 16 insights insight NOUN cana-538 209 17 into into ADP cana-538 209 18 the the DET cana-538 209 19 thermal thermal ADJ cana-538 209 20 behavior behavior NOUN cana-538 209 21 of of ADP cana-538 209 22 the the DET cana-538 209 23 system system NOUN cana-538 209 24 . . PUNCT cana-538 210 1 ( ( PUNCT cana-538 210 2 swcnt swcnt ADV cana-538 210 3 - - PUNCT cana-538 210 4 fe3o4 fe3o4 NOUN cana-538 210 5 ) ) PUNCT cana-538 210 6 ( ( PUNCT cana-538 210 7 swcnt swcnt ADV cana-538 210 8 - - PUNCT cana-538 210 9 fe3o4 fe3o4 NOUN cana-538 210 10 ) ) PUNCT cana-538 210 11 --------(mwcnt --------(mwcnt ADV cana-538 210 12 - - PUNCT cana-538 210 13 fe3o4 fe3o4 NOUN cana-538 210 14 ) ) PUNCT cana-538 210 15 --------(mwcnt --------(mwcnt ADV cana-538 210 16 - - PUNCT cana-538 210 17 fe3o4 fe3o4 NOUN cana-538 210 18 ) ) PUNCT cana-538 210 19 figure-7 figure-7 NOUN cana-538 210 20 : : PUNCT cana-538 210 21 impact impact NOUN cana-538 210 22 of of ADP cana-538 210 23 𝛽𝑣 𝛽𝑣 NOUN cana-538 210 24 on on ADP cana-538 210 25 𝐹′(πœ‚ 𝐹′(πœ‚ X cana-538 210 26 ) ) PUNCT cana-538 210 27 figure-8 figure-8 PROPN cana-538 210 28 : : PUNCT cana-538 210 29 impact impact NOUN cana-538 210 30 of of ADP cana-538 210 31 𝛽𝑣 𝛽𝑣 NOUN cana-538 210 32 on on ADP cana-538 210 33 𝐹𝑝 𝐹𝑝 PROPN cana-538 210 34 β€²(πœ‚ β€²(πœ‚ NOUN cana-538 210 35 ) ) PUNCT cana-538 210 36 when when SCONJ cana-538 210 37 a a DET cana-538 210 38 = = SYM cana-538 210 39 Ξ» Ξ» NOUN cana-538 210 40 = = SYM cana-538 210 41 l l NOUN cana-538 210 42 = = PUNCT cana-538 211 1 Ξ²v Ξ²v PUNCT cana-538 211 2 = = PUNCT cana-538 211 3 Ξ΅ Ξ΅ PROPN cana-538 211 4 = = SYM cana-538 211 5 Ο‡ Ο‡ PROPN cana-538 211 6 = = SYM cana-538 211 7 b b PROPN cana-538 211 8 = = SYM cana-538 211 9 rd rd PROPN cana-538 211 10 = = NOUN cana-538 211 11 Ξ²t Ξ²t NOUN cana-538 211 12 = = SYM cana-538 211 13 ec ec PROPN cana-538 211 14 = = PUNCT cana-538 211 15 Ξ΄ Ξ΄ PROPN cana-538 211 16 = = PUNCT cana-538 211 17 q q NOUN cana-538 211 18 = = PUNCT cana-538 211 19 b1 b1 NOUN cana-538 211 20 = = SYM cana-538 211 21 n n NOUN cana-538 211 22 = = SYM cana-538 211 23 Ξ³ Ξ³ X cana-538 211 24 = = SYM cana-538 211 25 0.1 0.1 NUM cana-538 211 26 figure figure NOUN cana-538 211 27 7 7 NUM cana-538 211 28 - - SYM cana-538 211 29 8 8 NUM cana-538 211 30 : : PUNCT cana-538 211 31 here here ADV cana-538 211 32 , , PUNCT cana-538 211 33 the the DET cana-538 211 34 effect effect NOUN cana-538 211 35 of of ADP cana-538 211 36 the the DET cana-538 211 37 fluid fluid ADJ cana-538 211 38 - - PUNCT cana-538 211 39 particle particle NOUN cana-538 211 40 interaction interaction NOUN cana-538 211 41 parameter parameter NOUN cana-538 211 42 𝛽 𝛽 PROPN cana-538 211 43 on on ADP cana-538 211 44 velocity velocity NOUN cana-538 211 45 profiles profile NOUN cana-538 211 46 ( ( PUNCT cana-538 211 47 f f NOUN cana-538 211 48 and and CCONJ cana-538 211 49 𝐹𝑝 𝐹𝑝 PROPN cana-538 211 50 β€² β€² NOUN cana-538 211 51 ) ) PUNCT cana-538 211 52 is be AUX cana-538 211 53 depicted depict VERB cana-538 211 54 . . PUNCT cana-538 212 1 these these DET cana-538 212 2 figures figure NOUN cana-538 212 3 explore explore VERB cana-538 212 4 how how SCONJ cana-538 212 5 variations variation NOUN cana-538 212 6 in in ADP cana-538 212 7 𝛽 𝛽 NOUN cana-538 212 8 impact impact NOUN cana-538 212 9 the the DET cana-538 212 10 flow flow NOUN cana-538 212 11 velocity velocity NOUN cana-538 212 12 in in ADP cana-538 212 13 both both CCONJ cana-538 212 14 the the DET cana-538 212 15 fluid fluid ADJ cana-538 212 16 and and CCONJ cana-538 212 17 particle particle NOUN cana-538 212 18 phases phase NOUN cana-538 212 19 , , PUNCT cana-538 212 20 indicating indicate VERB cana-538 212 21 changes change NOUN cana-538 212 22 in in ADP cana-538 212 23 the the DET cana-538 212 24 flow flow NOUN cana-538 212 25 characteristics characteristic NOUN cana-538 212 26 . . PUNCT cana-538 213 1 communications communication NOUN cana-538 213 2 on on ADP cana-538 213 3 applied apply VERB cana-538 213 4 nonlinear nonlinear ADJ cana-538 213 5 analysis analysis NOUN cana-538 213 6 issn issn NOUN cana-538 213 7 : : PUNCT cana-538 213 8 1074 1074 NUM cana-538 213 9 - - PUNCT cana-538 213 10 133x 133x NUM cana-538 213 11 vol vol NOUN cana-538 213 12 31 31 NUM cana-538 213 13 no no NOUN cana-538 213 14 . . NOUN cana-538 213 15 2 2 NUM cana-538 213 16 ( ( PUNCT cana-538 213 17 2024 2024 NUM cana-538 213 18 ) ) PUNCT cana-538 213 19 233 233 NUM cana-538 213 20 https://internationalpubls.com https://internationalpubls.com X cana-538 213 21 ( ( PUNCT cana-538 213 22 swcnt swcnt PROPN cana-538 213 23 - - PUNCT cana-538 213 24 fe3o4 fe3o4 NOUN cana-538 213 25 ) ) PUNCT cana-538 213 26 ( ( PUNCT cana-538 213 27 swcnt swcnt ADV cana-538 213 28 - - PUNCT cana-538 213 29 fe3o4 fe3o4 NOUN cana-538 213 30 ) ) PUNCT cana-538 213 31 -------(mwcnt -------(mwcnt ADV cana-538 213 32 - - PUNCT cana-538 213 33 fe3o4 fe3o4 NOUN cana-538 213 34 ) ) PUNCT cana-538 213 35 --------(mwcnt --------(mwcnt ADV cana-538 213 36 - - PUNCT cana-538 213 37 fe3o4 fe3o4 NOUN cana-538 213 38 ) ) PUNCT cana-538 213 39 figure-9 figure-9 NOUN cana-538 213 40 : : PUNCT cana-538 213 41 impact impact NOUN cana-538 213 42 of of ADP cana-538 213 43 𝛽𝑇 𝛽𝑇 NOUN cana-538 213 44 on on ADP cana-538 213 45 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-538 213 46 ) ) PUNCT cana-538 213 47 figure-10 figure-10 NOUN cana-538 213 48 : : PUNCT cana-538 213 49 impact impact NOUN cana-538 213 50 of of ADP cana-538 213 51 𝛽𝑇 𝛽𝑇 NOUN cana-538 213 52 on on ADP cana-538 213 53 πœƒπ‘(πœ‚ πœƒπ‘(πœ‚ NOUN cana-538 213 54 ) ) PUNCT cana-538 214 1 when when SCONJ cana-538 214 2 a a DET cana-538 214 3 = = SYM cana-538 214 4 Ξ» Ξ» NOUN cana-538 214 5 = = SYM cana-538 214 6 l l NOUN cana-538 214 7 = = PUNCT cana-538 214 8 Ξ²v Ξ²v PUNCT cana-538 214 9 = = PUNCT cana-538 214 10 Ξ΅ Ξ΅ PROPN cana-538 214 11 = = SYM cana-538 214 12 Ο‡ Ο‡ PROPN cana-538 214 13 = = SYM cana-538 214 14 b b PROPN cana-538 214 15 = = SYM cana-538 214 16 rd rd PROPN cana-538 214 17 = = NOUN cana-538 214 18 Ξ²t Ξ²t NOUN cana-538 214 19 = = SYM cana-538 214 20 ec ec PROPN cana-538 214 21 = = PUNCT cana-538 214 22 Ξ΄ Ξ΄ PROPN cana-538 214 23 = = PUNCT cana-538 214 24 q q NOUN cana-538 214 25 = = PUNCT cana-538 214 26 b1 b1 NOUN cana-538 214 27 = = SYM cana-538 214 28 n n NOUN cana-538 214 29 = = SYM cana-538 214 30 Ξ³ Ξ³ X cana-538 214 31 = = SYM cana-538 214 32 0.1 0.1 NUM cana-538 214 33 figure figure NOUN cana-538 214 34 9 9 NUM cana-538 214 35 - - SYM cana-538 214 36 10 10 NUM cana-538 214 37 : : PUNCT cana-538 214 38 these these DET cana-538 214 39 figures figure NOUN cana-538 214 40 illustrate illustrate VERB cana-538 214 41 the the DET cana-538 214 42 influence influence NOUN cana-538 214 43 of of ADP cana-538 214 44 the the DET cana-538 214 45 fluid fluid ADJ cana-538 214 46 particle particle NOUN cana-538 214 47 interaction interaction NOUN cana-538 214 48 parameter parameter NOUN cana-538 214 49 for for ADP cana-538 214 50 temperature temperature NOUN cana-538 214 51 ( ( PUNCT cana-538 214 52 𝛽𝑇 𝛽𝑇 NOUN cana-538 214 53 ) ) PUNCT cana-538 214 54 on on ADP cana-538 214 55 temperature temperature NOUN cana-538 214 56 profiles profile NOUN cana-538 214 57 ( ( PUNCT cana-538 214 58 ΞΈ ΞΈ NOUN cana-538 214 59 and and CCONJ cana-538 214 60 πœƒπ‘ πœƒπ‘ NOUN cana-538 214 61 ) ) PUNCT cana-538 214 62 for for ADP cana-538 214 63 different different ADJ cana-538 214 64 nanofluid nanofluid ADJ cana-538 214 65 compositions composition NOUN cana-538 214 66 . . PUNCT cana-538 215 1 they they PRON cana-538 215 2 show show VERB cana-538 215 3 how how SCONJ cana-538 215 4 altering alter VERB cana-538 215 5 Ξ²t Ξ²t NOUN cana-538 215 6 affects affect VERB cana-538 215 7 the the DET cana-538 215 8 temperature temperature NOUN cana-538 215 9 distribution distribution NOUN cana-538 215 10 within within ADP cana-538 215 11 the the DET cana-538 215 12 nanofluid nanofluid NOUN cana-538 215 13 , , PUNCT cana-538 215 14 providing provide VERB cana-538 215 15 insights insight NOUN cana-538 215 16 into into ADP cana-538 215 17 the the DET cana-538 215 18 heat heat NOUN cana-538 215 19 transfer transfer NOUN cana-538 215 20 behavior behavior NOUN cana-538 215 21 of of ADP cana-538 215 22 the the DET cana-538 215 23 system system NOUN cana-538 215 24 . . PUNCT cana-538 216 1 ( ( PUNCT cana-538 216 2 swcnt swcnt ADV cana-538 216 3 - - PUNCT cana-538 216 4 fe3o4 fe3o4 NOUN cana-538 216 5 ) ) PUNCT cana-538 216 6 swcnt swcnt ADP cana-538 216 7 - - PUNCT cana-538 216 8 fe3o4 fe3o4 NOUN cana-538 216 9 ) ) PUNCT cana-538 216 10 --------(mwcnt --------(mwcnt ADV cana-538 216 11 - - PUNCT cana-538 216 12 fe3o4 fe3o4 NOUN cana-538 216 13 ) ) PUNCT cana-538 216 14 --------(mwcnt --------(mwcnt ADV cana-538 216 15 - - PUNCT cana-538 216 16 fe3o4 fe3o4 PROPN cana-538 216 17 ) ) PUNCT cana-538 216 18 figure-11 figure-11 PROPN cana-538 216 19 : : PUNCT cana-538 216 20 impact impact NOUN cana-538 216 21 of of ADP cana-538 216 22 𝐸𝑐 𝐸𝑐 PROPN cana-538 216 23 on on ADP cana-538 216 24 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-538 216 25 ) ) PUNCT cana-538 216 26 figure-12 figure-12 NOUN cana-538 216 27 : : PUNCT cana-538 216 28 impact impact NOUN cana-538 216 29 of of ADP cana-538 216 30 𝐸𝑐 𝐸𝑐 PROPN cana-538 216 31 on on ADP cana-538 216 32 πœƒπ‘(πœ‚ πœƒπ‘(πœ‚ NUM cana-538 216 33 ) ) PUNCT cana-538 216 34 when when SCONJ cana-538 216 35 a a DET cana-538 216 36 = = SYM cana-538 216 37 Ξ» Ξ» NOUN cana-538 216 38 = = SYM cana-538 216 39 l l NOUN cana-538 216 40 = = PUNCT cana-538 216 41 Ξ²v Ξ²v PUNCT cana-538 216 42 = = PUNCT cana-538 216 43 Ξ΅ Ξ΅ PROPN cana-538 216 44 = = SYM cana-538 216 45 Ο‡ Ο‡ PROPN cana-538 216 46 = = SYM cana-538 216 47 b b PROPN cana-538 216 48 = = SYM cana-538 216 49 Ξ· Ξ· PROPN cana-538 216 50 = = PROPN cana-538 216 51 rd rd PROPN cana-538 216 52 = = NOUN cana-538 216 53 Ξ²t Ξ²t NOUN cana-538 216 54 = = SYM cana-538 216 55 ec ec PROPN cana-538 216 56 = = PUNCT cana-538 216 57 Ξ΄ Ξ΄ PROPN cana-538 216 58 = = PUNCT cana-538 216 59 q q NOUN cana-538 216 60 = = PUNCT cana-538 216 61 b1 b1 NOUN cana-538 216 62 = = SYM cana-538 216 63 n n NOUN cana-538 216 64 = = SYM cana-538 216 65 Ξ³ Ξ³ X cana-538 216 66 = = SYM cana-538 216 67 0.1 0.1 NUM cana-538 216 68 figure figure NOUN cana-538 216 69 11 11 NUM cana-538 216 70 - - SYM cana-538 216 71 12 12 NUM cana-538 216 72 : : PUNCT cana-538 216 73 the the DET cana-538 216 74 impact impact NOUN cana-538 216 75 of of ADP cana-538 216 76 eckert eckert PROPN cana-538 216 77 number number PROPN cana-538 216 78 ( ( PUNCT cana-538 216 79 ec ec PROPN cana-538 216 80 ) ) PUNCT cana-538 216 81 on on ADP cana-538 216 82 temperature temperature NOUN cana-538 216 83 profiles profile NOUN cana-538 216 84 ( ( PUNCT cana-538 216 85 ΞΈ ΞΈ NOUN cana-538 216 86 and and CCONJ cana-538 216 87 ΞΈp ΞΈp ADP cana-538 216 88 ) ) PUNCT cana-538 216 89 for for ADP cana-538 216 90 various various ADJ cana-538 216 91 nanofluid nanofluid ADJ cana-538 216 92 compositions composition NOUN cana-538 216 93 is be AUX cana-538 216 94 demonstrated demonstrate VERB cana-538 216 95 here here ADV cana-538 216 96 . . PUNCT cana-538 217 1 these these DET cana-538 217 2 figures figure NOUN cana-538 217 3 highlight highlight VERB cana-538 217 4 how how SCONJ cana-538 217 5 changing change VERB cana-538 217 6 ec ec PROPN cana-538 217 7 influences influence VERB cana-538 217 8 the the DET cana-538 217 9 temperature temperature NOUN cana-538 217 10 distribution distribution NOUN cana-538 217 11 within within ADP cana-538 217 12 the the DET cana-538 217 13 nanofluid nanofluid NOUN cana-538 217 14 , , PUNCT cana-538 217 15 indicating indicate VERB cana-538 217 16 alterations alteration NOUN cana-538 217 17 in in ADP cana-538 217 18 the the DET cana-538 217 19 heat heat NOUN cana-538 217 20 transfer transfer NOUN cana-538 217 21 characteristics characteristic NOUN cana-538 217 22 . . PUNCT cana-538 218 1 communications communication NOUN cana-538 218 2 on on ADP cana-538 218 3 applied apply VERB cana-538 218 4 nonlinear nonlinear ADJ cana-538 218 5 analysis analysis NOUN cana-538 218 6 issn issn NOUN cana-538 218 7 : : PUNCT cana-538 218 8 1074 1074 NUM cana-538 218 9 - - PUNCT cana-538 218 10 133x 133x NUM cana-538 218 11 vol vol NOUN cana-538 218 12 31 31 NUM cana-538 218 13 no no NOUN cana-538 218 14 . . NOUN cana-538 218 15 2 2 NUM cana-538 218 16 ( ( PUNCT cana-538 218 17 2024 2024 NUM cana-538 218 18 ) ) PUNCT cana-538 218 19 234 234 NUM cana-538 218 20 https://internationalpubls.com https://internationalpubls.com X cana-538 218 21 ( ( PUNCT cana-538 218 22 swcnt swcnt PROPN cana-538 218 23 - - PUNCT cana-538 218 24 fe3o4 fe3o4 NOUN cana-538 218 25 ) ) PUNCT cana-538 218 26 ( ( PUNCT cana-538 218 27 swcnt swcnt ADV cana-538 218 28 - - PUNCT cana-538 218 29 fe3o4 fe3o4 NOUN cana-538 218 30 ) ) PUNCT cana-538 218 31 --------- --------- PUNCT cana-538 218 32 ( ( PUNCT cana-538 218 33 mwcnt mwcnt ADV cana-538 218 34 - - PUNCT cana-538 218 35 fe3o4 fe3o4 NOUN cana-538 218 36 ) ) PUNCT cana-538 218 37 --------(mwcnt --------(mwcnt ADV cana-538 218 38 - - PUNCT cana-538 218 39 fe3o4 fe3o4 NOUN cana-538 218 40 ) ) PUNCT cana-538 218 41 figure-13 figure-13 VERB cana-538 218 42 : : PUNCT cana-538 218 43 impact impact NOUN cana-538 218 44 of of ADP cana-538 218 45 𝐴 𝐴 PROPN cana-538 218 46 on on ADP cana-538 218 47 𝐹′(πœ‚ 𝐹′(πœ‚ X cana-538 218 48 ) ) PUNCT cana-538 218 49 figure-14 figure-14 ADJ cana-538 218 50 : : PUNCT cana-538 218 51 impact impact NOUN cana-538 218 52 of of ADP cana-538 218 53 𝐴 𝐴 PROPN cana-538 218 54 on on ADP cana-538 218 55 𝐹𝑝 𝐹𝑝 PROPN cana-538 218 56 β€²(πœ‚ β€²(πœ‚ NOUN cana-538 218 57 ) ) PUNCT cana-538 218 58 when when SCONJ cana-538 218 59 a a DET cana-538 218 60 = = SYM cana-538 218 61 Ξ» Ξ» NOUN cana-538 218 62 = = SYM cana-538 218 63 l l NOUN cana-538 218 64 = = PUNCT cana-538 218 65 Ξ²v Ξ²v PUNCT cana-538 218 66 = = PUNCT cana-538 218 67 Ξ΅ Ξ΅ PROPN cana-538 218 68 = = SYM cana-538 219 1 Ο‡ Ο‡ PROPN cana-538 219 2 = = SYM cana-538 219 3 b b PROPN cana-538 219 4 = = SYM cana-538 219 5 rd rd PROPN cana-538 219 6 = = NOUN cana-538 219 7 Ξ²t Ξ²t NOUN cana-538 219 8 = = SYM cana-538 219 9 ec ec PROPN cana-538 219 10 = = PUNCT cana-538 219 11 Ξ΄ Ξ΄ PROPN cana-538 219 12 = = PUNCT cana-538 219 13 q q NOUN cana-538 219 14 = = PUNCT cana-538 219 15 b1 b1 NOUN cana-538 219 16 = = SYM cana-538 219 17 n n NOUN cana-538 219 18 = = SYM cana-538 219 19 Ξ³ Ξ³ X cana-538 219 20 = = SYM cana-538 219 21 0 0 PROPN cana-538 219 22 . . PUNCT cana-538 220 1 figure figure VERB cana-538 220 2 13 13 NUM cana-538 220 3 - - SYM cana-538 220 4 14 14 NUM cana-538 220 5 : : PUNCT cana-538 220 6 here here ADV cana-538 220 7 , , PUNCT cana-538 220 8 the the DET cana-538 220 9 effect effect NOUN cana-538 220 10 of of ADP cana-538 220 11 the the DET cana-538 220 12 micropolar micropolar ADJ cana-538 220 13 parameter parameter NOUN cana-538 220 14 ( ( PUNCT cana-538 220 15 a a NOUN cana-538 220 16 ) ) PUNCT cana-538 220 17 on on ADP cana-538 220 18 velocity velocity NOUN cana-538 220 19 profiles profile NOUN cana-538 220 20 ( ( PUNCT cana-538 220 21 fβ€² fβ€² PROPN cana-538 220 22 and and CCONJ cana-538 220 23 𝐹𝑝 𝐹𝑝 PROPN cana-538 220 24 β€² β€² NOUN cana-538 220 25 ) ) PUNCT cana-538 220 26 for for ADP cana-538 220 27 different different ADJ cana-538 220 28 nanofluid nanofluid ADJ cana-538 220 29 compositions composition NOUN cana-538 220 30 is be AUX cana-538 220 31 illustrated illustrate VERB cana-538 220 32 . . PUNCT cana-538 221 1 these these DET cana-538 221 2 figures figure NOUN cana-538 221 3 explore explore VERB cana-538 221 4 how how SCONJ cana-538 221 5 variations variation NOUN cana-538 221 6 in in ADP cana-538 221 7 a a DET cana-538 221 8 impact impact NOUN cana-538 221 9 the the DET cana-538 221 10 flow flow NOUN cana-538 221 11 velocity velocity NOUN cana-538 221 12 in in ADP cana-538 221 13 both both CCONJ cana-538 221 14 the the DET cana-538 221 15 fluid fluid ADJ cana-538 221 16 and and CCONJ cana-538 221 17 particle particle NOUN cana-538 221 18 phases phase NOUN cana-538 221 19 , , PUNCT cana-538 221 20 indicating indicate VERB cana-538 221 21 changes change NOUN cana-538 221 22 in in ADP cana-538 221 23 the the DET cana-538 221 24 flow flow NOUN cana-538 221 25 behavior behavior NOUN cana-538 221 26 . . PUNCT cana-538 222 1 ( ( PUNCT cana-538 222 2 swcnt swcnt ADV cana-538 222 3 - - PUNCT cana-538 222 4 fe3o4 fe3o4 NOUN cana-538 222 5 ) ) PUNCT cana-538 222 6 ( ( PUNCT cana-538 222 7 swcnt swcnt ADV cana-538 222 8 - - PUNCT cana-538 222 9 fe3o4 fe3o4 NOUN cana-538 222 10 ) ) PUNCT cana-538 222 11 --------(mwcnt --------(mwcnt ADV cana-538 222 12 - - PUNCT cana-538 222 13 fe3o4 fe3o4 NOUN cana-538 222 14 ) ) PUNCT cana-538 222 15 --------(mwcnt --------(mwcnt ADV cana-538 222 16 - - PUNCT cana-538 222 17 fe3o4 fe3o4 PROPN cana-538 222 18 ) ) PUNCT cana-538 222 19 figure-15 figure-15 NOUN cana-538 222 20 : : PUNCT cana-538 222 21 impact impact NOUN cana-538 222 22 of of ADP cana-538 222 23 𝐴 𝐴 PROPN cana-538 222 24 on on ADP cana-538 222 25 𝐻 𝐻 PROPN cana-538 222 26 ( ( PUNCT cana-538 222 27 πœ‚ πœ‚ NOUN cana-538 222 28 ) ) PUNCT cana-538 222 29 , , PUNCT cana-538 222 30 when when SCONJ cana-538 222 31 figure-16 figure-16 PROPN cana-538 222 32 : : PUNCT cana-538 222 33 impact impact NOUN cana-538 222 34 of of ADP cana-538 222 35 𝑄 𝑄 NOUN cana-538 222 36 on on ADP cana-538 222 37 πœƒ(πœ‚ πœƒ(πœ‚ NOUN cana-538 222 38 ) ) PUNCT cana-538 222 39 when when SCONJ cana-538 222 40 π΅βˆ— π΅βˆ— NOUN cana-538 222 41 = = SYM cana-538 222 42 𝛽𝑣 𝛽𝑣 PROPN cana-538 222 43 = = NOUN cana-538 222 44 0.1 0.1 NUM cana-538 222 45 , , PUNCT cana-538 222 46 νœ€ νœ€ NOUN cana-538 222 47 = = X cana-538 222 48 πœ’ πœ’ NOUN cana-538 222 49 = = SYM cana-538 222 50 𝐡 𝐡 NOUN cana-538 222 51 = = SYM cana-538 222 52 πœ‚ πœ‚ NOUN cana-538 222 53 = = PUNCT cana-538 222 54 𝑅𝑑 𝑅𝑑 PROPN cana-538 222 55 𝐴 𝐴 NOUN cana-538 222 56 = = PUNCT cana-538 222 57 πœ† πœ† PROPN cana-538 222 58 = = PUNCT cana-538 222 59 𝐿 𝐿 NOUN cana-538 222 60 = = SYM cana-538 222 61 π΅βˆ— π΅βˆ— X cana-538 222 62 = = PUNCT cana-538 222 63 𝛽𝑣 𝛽𝑣 PROPN cana-538 222 64 = = NOUN cana-538 222 65 , , PUNCT cana-538 222 66 νœ€ νœ€ NOUN cana-538 222 67 = = X cana-538 222 68 πœ’ πœ’ NOUN cana-538 222 69 = = SYM cana-538 222 70 𝐡 𝐡 NOUN cana-538 222 71 = = SYM cana-538 222 72 𝐴 𝐴 PROPN cana-538 222 73 = = PUNCT cana-538 222 74 πœ† πœ† NOUN cana-538 223 1 = = X cana-538 223 2 𝛽𝑇 𝛽𝑇 PROPN cana-538 223 3 = = PUNCT cana-538 223 4 𝐸𝑐 𝐸𝑐 PROPN cana-538 223 5 = = PUNCT cana-538 223 6 𝛿 𝛿 ADJ cana-538 223 7 = = SYM cana-538 223 8 𝑄 𝑄 PROPN cana-538 223 9 = = SYM cana-538 223 10 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 223 11 = = SYM cana-538 223 12 𝑛 𝑛 PROPN cana-538 223 13 = = SYM cana-538 223 14 𝛾 𝛾 PROPN cana-538 223 15 = = SYM cana-538 223 16 0 0 NUM cana-538 223 17 . . PUNCT cana-538 224 1 𝛽𝑇 𝛽𝑇 NOUN cana-538 224 2 = = PUNCT cana-538 224 3 𝐸𝑐 𝐸𝑐 PROPN cana-538 224 4 = = PUNCT cana-538 224 5 𝛿 𝛿 ADJ cana-538 224 6 = = SYM cana-538 224 7 𝑄 𝑄 PROPN cana-538 224 8 = = SYM cana-538 224 9 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 224 10 = = SYM cana-538 224 11 𝑛 𝑛 PROPN cana-538 224 12 = = SYM cana-538 224 13 𝛾 𝛾 PROPN cana-538 224 14 = = SYM cana-538 224 15 0.1 0.1 NUM cana-538 224 16 . . PUNCT cana-538 225 1 figure figure VERB cana-538 225 2 15 15 NUM cana-538 225 3 - - SYM cana-538 225 4 16 16 NUM cana-538 225 5 : : PUNCT cana-538 225 6 these these DET cana-538 225 7 figures figure NOUN cana-538 225 8 show show VERB cana-538 225 9 the the DET cana-538 225 10 impact impact NOUN cana-538 225 11 of of ADP cana-538 225 12 heat heat NOUN cana-538 225 13 generation generation NOUN cana-538 225 14 parameter parameter NOUN cana-538 225 15 ( ( PUNCT cana-538 225 16 q q NOUN cana-538 225 17 ) ) PUNCT cana-538 225 18 on on ADP cana-538 225 19 temperature temperature NOUN cana-538 225 20 profiles profile NOUN cana-538 225 21 ( ( PUNCT cana-538 225 22 ΞΈ ΞΈ NOUN cana-538 225 23 and and CCONJ cana-538 225 24 πœƒπ‘ πœƒπ‘ NOUN cana-538 225 25 ) ) PUNCT cana-538 225 26 for for ADP cana-538 225 27 different different ADJ cana-538 225 28 conditions condition NOUN cana-538 225 29 . . PUNCT cana-538 226 1 they they PRON cana-538 226 2 demonstrate demonstrate VERB cana-538 226 3 how how SCONJ cana-538 226 4 altering alter VERB cana-538 226 5 q q NOUN cana-538 226 6 affects affect VERB cana-538 226 7 the the DET cana-538 226 8 temperature temperature NOUN cana-538 226 9 distribution distribution NOUN cana-538 226 10 within within ADP cana-538 226 11 the the DET cana-538 226 12 system system NOUN cana-538 226 13 , , PUNCT cana-538 226 14 providing provide VERB cana-538 226 15 insights insight NOUN cana-538 226 16 into into ADP cana-538 226 17 the the DET cana-538 226 18 heat heat NOUN cana-538 226 19 generation generation NOUN cana-538 226 20 effects effect NOUN cana-538 226 21 . . PUNCT cana-538 227 1 communications communication NOUN cana-538 227 2 on on ADP cana-538 227 3 applied apply VERB cana-538 227 4 nonlinear nonlinear ADJ cana-538 227 5 analysis analysis NOUN cana-538 227 6 issn issn NOUN cana-538 227 7 : : PUNCT cana-538 227 8 1074 1074 NUM cana-538 227 9 - - PUNCT cana-538 227 10 133x 133x NUM cana-538 227 11 vol vol NOUN cana-538 227 12 31 31 NUM cana-538 227 13 no no NOUN cana-538 227 14 . . NOUN cana-538 227 15 2 2 NUM cana-538 227 16 ( ( PUNCT cana-538 227 17 2024 2024 NUM cana-538 227 18 ) ) PUNCT cana-538 227 19 235 235 NUM cana-538 227 20 https://internationalpubls.com https://internationalpubls.com X cana-538 227 21 ( ( PUNCT cana-538 227 22 swcnt swcnt PROPN cana-538 227 23 - - PUNCT cana-538 227 24 fe3o4 fe3o4 NOUN cana-538 227 25 ) ) PUNCT cana-538 227 26 ( ( PUNCT cana-538 227 27 swcnt swcnt ADV cana-538 227 28 - - PUNCT cana-538 227 29 fe3o4 fe3o4 NOUN cana-538 227 30 ) ) PUNCT cana-538 227 31 --------(mwcnt --------(mwcnt ADV cana-538 227 32 - - PUNCT cana-538 227 33 fe3o4 fe3o4 NOUN cana-538 227 34 ) ) PUNCT cana-538 227 35 --------(mwcnt --------(mwcnt ADV cana-538 227 36 - - PUNCT cana-538 227 37 fe3o4 fe3o4 NOUN cana-538 227 38 ) ) PUNCT cana-538 227 39 figure-17 figure-17 NOUN cana-538 227 40 impact impact NOUN cana-538 227 41 of of ADP cana-538 227 42 𝑄 𝑄 PRON cana-538 227 43 on on ADP cana-538 227 44 πœƒπ‘(πœ‚ πœƒπ‘(πœ‚ NOUN cana-538 227 45 ) ) PUNCT cana-538 228 1 figure-18 figure-18 NOUN cana-538 228 2 : : PUNCT cana-538 228 3 impact impact NOUN cana-538 228 4 of of ADP cana-538 228 5 𝐴 𝐴 PROPN cana-538 228 6 and and CCONJ cana-538 228 7 πœ† πœ† NOUN cana-538 228 8 on on ADP cana-538 228 9 𝐢𝑓. 𝐢𝑓. PROPN cana-538 228 10 when when SCONJ cana-538 228 11 a a DET cana-538 228 12 = = SYM cana-538 228 13 πœ† πœ† NOUN cana-538 228 14 = = PUNCT cana-538 228 15 l l NOUN cana-538 228 16 = = PUNCT cana-538 228 17 Ξ²v Ξ²v PUNCT cana-538 228 18 = = PUNCT cana-538 228 19 Ξ΅ Ξ΅ PROPN cana-538 228 20 = = PUNCT cana-538 229 1 Ο‡ Ο‡ NOUN cana-538 229 2 = = PUNCT cana-538 229 3 bβˆ— bβˆ— ADJ cana-538 229 4 = = SYM cana-538 229 5 Ξ· Ξ· PROPN cana-538 229 6 = = PROPN cana-538 229 7 rd rd PROPN cana-538 229 8 = = SYM cana-538 229 9 l l NOUN cana-538 229 10 = = PUNCT cana-538 229 11 Ξ²v Ξ²v PUNCT cana-538 229 12 = = PUNCT cana-538 229 13 Ξ΅ Ξ΅ PROPN cana-538 229 14 = = PUNCT cana-538 229 15 Ο‡ Ο‡ NOUN cana-538 229 16 = = PUNCT cana-538 229 17 bβˆ— bβˆ— ADJ cana-538 229 18 = = SYM cana-538 229 19 Ξ· Ξ· PROPN cana-538 229 20 = = PROPN cana-538 229 21 rd rd PROPN cana-538 229 22 = = SYM cana-538 229 23 𝛽𝑇 𝛽𝑇 PROPN cana-538 230 1 = = PUNCT cana-538 230 2 𝐸𝑐 𝐸𝑐 PROPN cana-538 230 3 = = PUNCT cana-538 230 4 𝛿 𝛿 ADJ cana-538 230 5 = = SYM cana-538 230 6 𝑄 𝑄 PROPN cana-538 230 7 = = SYM cana-538 230 8 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 230 9 = = SYM cana-538 230 10 𝑛 𝑛 NOUN cana-538 230 11 = = SYM cana-538 230 12 𝐡 𝐡 NOUN cana-538 230 13 = = SYM cana-538 230 14 𝛾 𝛾 NOUN cana-538 230 15 = = SYM cana-538 230 16 0.1 0.1 NUM cana-538 230 17 . . PUNCT cana-538 231 1 𝛽𝑇 𝛽𝑇 NOUN cana-538 231 2 = = PUNCT cana-538 231 3 𝐸𝑐 𝐸𝑐 PROPN cana-538 231 4 = = PUNCT cana-538 231 5 𝛿 𝛿 ADJ cana-538 231 6 = = SYM cana-538 231 7 𝑄 𝑄 PROPN cana-538 231 8 = = SYM cana-538 231 9 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 231 10 = = SYM cana-538 231 11 𝑛 𝑛 NOUN cana-538 231 12 = = SYM cana-538 231 13 𝐡 𝐡 NOUN cana-538 231 14 = = SYM cana-538 232 1 𝛾 𝛾 PROPN cana-538 232 2 = = SYM cana-538 232 3 0.1 0.1 NUM cana-538 232 4 . . PUNCT cana-538 233 1 figure figure VERB cana-538 233 2 17 17 NUM cana-538 233 3 - - SYM cana-538 233 4 18 18 NUM cana-538 233 5 : : PUNCT cana-538 233 6 the the DET cana-538 233 7 influence influence NOUN cana-538 233 8 of of ADP cana-538 233 9 parameters parameter NOUN cana-538 233 10 a a PRON cana-538 233 11 and and CCONJ cana-538 233 12 Ξ» Ξ» X cana-538 233 13 on on ADP cana-538 233 14 skin skin NOUN cana-538 233 15 friction friction NOUN cana-538 233 16 coefficient coefficient NOUN cana-538 233 17 ( ( PUNCT cana-538 233 18 𝐢𝑓 𝐢𝑓 PROPN cana-538 233 19 ) ) PUNCT cana-538 233 20 for for ADP cana-538 233 21 different different ADJ cana-538 233 22 conditions condition NOUN cana-538 233 23 is be AUX cana-538 233 24 depicted depict VERB cana-538 233 25 in in ADP cana-538 233 26 these these DET cana-538 233 27 figures figure NOUN cana-538 233 28 . . PUNCT cana-538 234 1 they they PRON cana-538 234 2 explore explore VERB cana-538 234 3 how how SCONJ cana-538 234 4 changes change NOUN cana-538 234 5 in in ADP cana-538 234 6 a a PRON cana-538 234 7 and and CCONJ cana-538 234 8 Ξ» Ξ» PROPN cana-538 234 9 affect affect VERB cana-538 234 10 the the DET cana-538 234 11 frictional frictional ADJ cana-538 234 12 forces force NOUN cana-538 234 13 experienced experience VERB cana-538 234 14 by by ADP cana-538 234 15 the the DET cana-538 234 16 fluid fluid NOUN cana-538 234 17 , , PUNCT cana-538 234 18 providing provide VERB cana-538 234 19 insights insight NOUN cana-538 234 20 into into ADP cana-538 234 21 the the DET cana-538 234 22 flow flow NOUN cana-538 234 23 behavior behavior NOUN cana-538 234 24 over over ADP cana-538 234 25 the the DET cana-538 234 26 surface surface NOUN cana-538 234 27 . . PUNCT cana-538 235 1 ( ( PUNCT cana-538 235 2 swcnt swcnt ADV cana-538 235 3 - - PUNCT cana-538 235 4 fe3o4 fe3o4 NOUN cana-538 235 5 ) ) PUNCT cana-538 235 6 ( ( PUNCT cana-538 235 7 swcnt swcnt ADV cana-538 235 8 - - PUNCT cana-538 235 9 fe3o4 fe3o4 NOUN cana-538 235 10 ) ) PUNCT cana-538 235 11 --------(mwcnt --------(mwcnt ADV cana-538 235 12 - - PUNCT cana-538 235 13 fe3o4 fe3o4 NOUN cana-538 235 14 ) ) PUNCT cana-538 235 15 --------(mwcnt --------(mwcnt ADV cana-538 235 16 - - PUNCT cana-538 235 17 fe3o4 fe3o4 PROPN cana-538 235 18 ) ) PUNCT cana-538 235 19 figure-19 figure-19 PROPN cana-538 235 20 : : PUNCT cana-538 235 21 impact impact NOUN cana-538 235 22 of of ADP cana-538 235 23 𝐴 𝐴 PROPN cana-538 235 24 and and CCONJ cana-538 235 25 πœ† πœ† ADP cana-538 235 26 on on ADP cana-538 235 27 𝑁𝑒 𝑁𝑒 PROPN cana-538 235 28 , , PUNCT cana-538 235 29 figure-20 figure-20 ADJ cana-538 235 30 : : PUNCT cana-538 235 31 impact impact NOUN cana-538 235 32 of of ADP cana-538 235 33 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 235 34 and and CCONJ cana-538 235 35 𝑅𝑑 𝑅𝑑 PROPN cana-538 235 36 on on ADP cana-538 235 37 𝐢𝑓 𝐢𝑓 PROPN cana-538 235 38 , , PUNCT cana-538 235 39 when when SCONJ cana-538 235 40 𝐿 𝐿 PROPN cana-538 235 41 = = PROPN cana-538 235 42 𝛽𝑣 𝛽𝑣 PROPN cana-538 235 43 = = NOUN cana-538 236 1 νœ€ νœ€ NOUN cana-538 236 2 = = NOUN cana-538 236 3 πœ’ πœ’ X cana-538 236 4 = = PUNCT cana-538 236 5 π΅βˆ— π΅βˆ— NUM cana-538 236 6 = = SYM cana-538 236 7 πœ‚ πœ‚ NOUN cana-538 236 8 = = PUNCT cana-538 237 1 𝑅𝑑 𝑅𝑑 PROPN cana-538 237 2 = = SYM cana-538 237 3 π΅βˆ— π΅βˆ— PROPN cana-538 237 4 = = PUNCT cana-538 237 5 when when SCONJ cana-538 237 6 𝐴 𝐴 PROPN cana-538 237 7 = = SYM cana-538 237 8 𝐿 𝐿 PROPN cana-538 237 9 = = PROPN cana-538 237 10 𝛽𝑣 𝛽𝑣 PROPN cana-538 237 11 = = NOUN cana-538 238 1 νœ€ νœ€ NOUN cana-538 238 2 = = NOUN cana-538 238 3 πœ’ πœ’ NOUN cana-538 238 4 = = NOUN cana-538 238 5 𝛽𝑇 𝛽𝑇 NOUN cana-538 238 6 = = PUNCT cana-538 238 7 𝐸𝑐 𝐸𝑐 PROPN cana-538 238 8 = = PUNCT cana-538 238 9 𝛿 𝛿 ADJ cana-538 238 10 = = SYM cana-538 238 11 𝑄 𝑄 PROPN cana-538 238 12 = = SYM cana-538 238 13 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 238 14 = = SYM cana-538 238 15 𝑛 𝑛 NOUN cana-538 238 16 = = SYM cana-538 238 17 𝐡 𝐡 NOUN cana-538 238 18 = = SYM cana-538 238 19 𝛾 𝛾 NOUN cana-538 238 20 = = SYM cana-538 238 21 0.1 0.1 NUM cana-538 238 22 . . PUNCT cana-538 239 1 𝛽𝑇 𝛽𝑇 NOUN cana-538 239 2 = = PUNCT cana-538 239 3 𝐸𝑐 𝐸𝑐 PROPN cana-538 239 4 = = PUNCT cana-538 239 5 𝛿 𝛿 ADJ cana-538 239 6 = = PUNCT cana-538 239 7 𝑄 𝑄 PROPN cana-538 239 8 = = PUNCT cana-538 239 9 πœ† πœ† NOUN cana-538 239 10 = = PUNCT cana-538 239 11 𝑛 𝑛 NOUN cana-538 239 12 = = SYM cana-538 239 13 𝐡 𝐡 NOUN cana-538 239 14 = = SYM cana-538 239 15 𝛾 𝛾 PROPN cana-538 239 16 = = SYM cana-538 239 17 0.1 0.1 NUM cana-538 239 18 . . PUNCT cana-538 240 1 figure figure VERB cana-538 240 2 19 19 NUM cana-538 240 3 - - SYM cana-538 240 4 20 20 NUM cana-538 240 5 : : PUNCT cana-538 240 6 here here ADV cana-538 240 7 , , PUNCT cana-538 240 8 the the DET cana-538 240 9 effect effect NOUN cana-538 240 10 of of ADP cana-538 240 11 prandtl prandtl NOUN cana-538 240 12 number number NOUN cana-538 240 13 ( ( PUNCT cana-538 240 14 pr pr NOUN cana-538 240 15 ) ) PUNCT cana-538 240 16 and and CCONJ cana-538 240 17 non non ADJ cana-538 240 18 - - ADJ cana-538 240 19 linear linear ADJ cana-538 240 20 thermal thermal ADJ cana-538 240 21 radiation radiation NOUN cana-538 240 22 parameter parameter NOUN cana-538 240 23 ( ( PUNCT cana-538 240 24 𝑅𝑑 𝑅𝑑 PROPN cana-538 240 25 ) ) PUNCT cana-538 240 26 on on ADP cana-538 240 27 skin skin NOUN cana-538 240 28 friction friction NOUN cana-538 240 29 coefficient coefficient NOUN cana-538 240 30 ( ( PUNCT cana-538 240 31 𝐢𝑓 𝐢𝑓 PROPN cana-538 240 32 ) ) PUNCT cana-538 240 33 for for ADP cana-538 240 34 different different ADJ cana-538 240 35 conditions condition NOUN cana-538 240 36 is be AUX cana-538 240 37 illustrated illustrate VERB cana-538 240 38 . . PUNCT cana-538 241 1 these these DET cana-538 241 2 communications communication NOUN cana-538 241 3 on on ADP cana-538 241 4 applied apply VERB cana-538 241 5 nonlinear nonlinear ADJ cana-538 241 6 analysis analysis NOUN cana-538 241 7 issn issn NOUN cana-538 241 8 : : PUNCT cana-538 241 9 1074 1074 NUM cana-538 241 10 - - PUNCT cana-538 241 11 133x 133x NUM cana-538 241 12 vol vol NOUN cana-538 241 13 31 31 NUM cana-538 241 14 no no NOUN cana-538 241 15 . . NOUN cana-538 241 16 2 2 NUM cana-538 241 17 ( ( PUNCT cana-538 241 18 2024 2024 NUM cana-538 241 19 ) ) PUNCT cana-538 241 20 236 236 NUM cana-538 241 21 https://internationalpubls.com https://internationalpubls.com NUM cana-538 241 22 figures figure NOUN cana-538 241 23 explore explore VERB cana-538 241 24 how how SCONJ cana-538 241 25 variations variation NOUN cana-538 241 26 in in ADP cana-538 241 27 pr pr NOUN cana-538 241 28 and and CCONJ cana-538 241 29 𝑅𝑑 𝑅𝑑 PROPN cana-538 241 30 impact impact VERB cana-538 241 31 the the DET cana-538 241 32 frictional frictional ADJ cana-538 241 33 forces force NOUN cana-538 241 34 experienced experience VERB cana-538 241 35 by by ADP cana-538 241 36 the the DET cana-538 241 37 fluid fluid NOUN cana-538 241 38 , , PUNCT cana-538 241 39 providing provide VERB cana-538 241 40 insights insight NOUN cana-538 241 41 into into ADP cana-538 241 42 the the DET cana-538 241 43 heat heat NOUN cana-538 241 44 transfer transfer NOUN cana-538 241 45 characteristics characteristic NOUN cana-538 241 46 . . PUNCT cana-538 242 1 ( ( PUNCT cana-538 242 2 swcnt swcnt ADP cana-538 242 3 - - PUNCT cana-538 242 4 fe3o4 fe3o4 NOUN cana-538 242 5 ) ) PUNCT cana-538 242 6 --------(mwcnt --------(mwcnt ADV cana-538 242 7 - - PUNCT cana-538 242 8 fe3o4 fe3o4 NOUN cana-538 242 9 ) ) PUNCT cana-538 242 10 figure figure NOUN cana-538 242 11 21 21 NUM cana-538 242 12 : : PUNCT cana-538 242 13 impact impact NOUN cana-538 242 14 of of ADP cana-538 242 15 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-538 242 16 and and CCONJ cana-538 242 17 𝑅𝑑 𝑅𝑑 PROPN cana-538 242 18 on on ADP cana-538 242 19 𝑁𝑒 𝑁𝑒 PROPN cana-538 242 20 when when SCONJ cana-538 242 21 𝐴 𝐴 PROPN cana-538 242 22 = = PUNCT cana-538 242 23 πœ† πœ† PROPN cana-538 242 24 = = PUNCT cana-538 242 25 𝐿 𝐿 NOUN cana-538 242 26 = = NOUN cana-538 242 27 𝛽𝑣 𝛽𝑣 NOUN cana-538 242 28 = = NOUN cana-538 242 29 νœ€ νœ€ NOUN cana-538 242 30 = = X cana-538 242 31 πœ’ πœ’ NOUN cana-538 242 32 = = SYM cana-538 242 33 𝐡 𝐡 NOUN cana-538 242 34 = = SYM cana-538 242 35 πœ‚ πœ‚ NOUN cana-538 242 36 = = SYM cana-538 242 37 π΅βˆ— π΅βˆ— X cana-538 242 38 = = PUNCT cana-538 242 39 Ξ²t Ξ²t NOUN cana-538 243 1 = = SYM cana-538 243 2 ec ec PROPN cana-538 243 3 = = PUNCT cana-538 243 4 Ξ΄ Ξ΄ PROPN cana-538 243 5 = = PUNCT cana-538 243 6 q q PROPN cana-538 243 7 = = PUNCT cana-538 243 8 n n NOUN cana-538 243 9 = = SYM cana-538 243 10 Ξ³ Ξ³ X cana-538 243 11 = = SYM cana-538 243 12 0.1 0.1 NUM cana-538 243 13 figure figure NOUN cana-538 243 14 21 21 NUM cana-538 243 15 : : PUNCT cana-538 243 16 this this DET cana-538 243 17 figure figure NOUN cana-538 243 18 demonstrates demonstrate VERB cana-538 243 19 the the DET cana-538 243 20 impact impact NOUN cana-538 243 21 of of ADP cana-538 243 22 prandtl prandtl NOUN cana-538 243 23 number number NOUN cana-538 243 24 ( ( PUNCT cana-538 243 25 pr pr NOUN cana-538 243 26 ) ) PUNCT cana-538 243 27 and and CCONJ cana-538 243 28 non non ADJ cana-538 243 29 - - ADJ cana-538 243 30 linear linear ADJ cana-538 243 31 thermal thermal ADJ cana-538 243 32 radiation radiation NOUN cana-538 243 33 parameter parameter NOUN cana-538 243 34 ( ( PUNCT cana-538 243 35 𝑅𝑑 𝑅𝑑 PROPN cana-538 243 36 ) ) PUNCT cana-538 243 37 on on ADP cana-538 243 38 the the DET cana-538 243 39 local local ADJ cana-538 243 40 nusselt nusselt NOUN cana-538 243 41 number number NOUN cana-538 243 42 ( ( PUNCT cana-538 243 43 nu nu NOUN cana-538 243 44 ) ) PUNCT cana-538 243 45 for for ADP cana-538 243 46 specified specify VERB cana-538 243 47 conditions condition NOUN cana-538 243 48 . . PUNCT cana-538 244 1 it it PRON cana-538 244 2 explores explore VERB cana-538 244 3 how how SCONJ cana-538 244 4 variations variation NOUN cana-538 244 5 in in ADP cana-538 244 6 pr pr NOUN cana-538 244 7 and and CCONJ cana-538 244 8 𝑅𝑑 𝑅𝑑 SCONJ cana-538 244 9 influence influence VERB cana-538 244 10 the the DET cana-538 244 11 convective convective ADJ cana-538 244 12 heat heat NOUN cana-538 244 13 transfer transfer NOUN cana-538 244 14 rate rate NOUN cana-538 244 15 at at ADP cana-538 244 16 the the DET cana-538 244 17 surface surface NOUN cana-538 244 18 , , PUNCT cana-538 244 19 providing provide VERB cana-538 244 20 insights insight NOUN cana-538 244 21 into into ADP cana-538 244 22 the the DET cana-538 244 23 heat heat NOUN cana-538 244 24 transfer transfer NOUN cana-538 244 25 behavior behavior NOUN cana-538 244 26 of of ADP cana-538 244 27 the the DET cana-538 244 28 system system NOUN cana-538 244 29 . . PUNCT cana-538 245 1 overall overall ADV cana-538 245 2 , , PUNCT cana-538 245 3 these these DET cana-538 245 4 figures figure NOUN cana-538 245 5 offer offer VERB cana-538 245 6 comprehensive comprehensive ADJ cana-538 245 7 insights insight NOUN cana-538 245 8 into into ADP cana-538 245 9 the the DET cana-538 245 10 influence influence NOUN cana-538 245 11 of of ADP cana-538 245 12 various various ADJ cana-538 245 13 parameters parameter NOUN cana-538 245 14 on on ADP cana-538 245 15 the the DET cana-538 245 16 thermal thermal ADJ cana-538 245 17 and and CCONJ cana-538 245 18 flow flow NOUN cana-538 245 19 characteristics characteristic NOUN cana-538 245 20 of of ADP cana-538 245 21 micropolar micropolar ADJ cana-538 245 22 hybrid hybrid ADJ cana-538 245 23 nanofluid nanofluid NOUN cana-538 245 24 flows flow VERB cana-538 245 25 over over ADP cana-538 245 26 a a DET cana-538 245 27 riga riga ADJ cana-538 245 28 surface surface NOUN cana-538 245 29 , , PUNCT cana-538 245 30 aiding aid VERB cana-538 245 31 in in ADP cana-538 245 32 the the DET cana-538 245 33 understanding understanding NOUN cana-538 245 34 and and CCONJ cana-538 245 35 optimization optimization NOUN cana-538 245 36 of of ADP cana-538 245 37 such such ADJ cana-538 245 38 systems system NOUN cana-538 245 39 in in ADP cana-538 245 40 engineering engineering NOUN cana-538 245 41 applications application NOUN cana-538 245 42 . . PUNCT cana-538 246 1 7 7 X cana-538 246 2 . . X cana-538 246 3 conclusion conclusion NOUN cana-538 246 4 in in ADP cana-538 246 5 summary summary NOUN cana-538 246 6 , , PUNCT cana-538 246 7 this this DET cana-538 246 8 study study NOUN cana-538 246 9 comprehensively comprehensively ADV cana-538 246 10 investigates investigate VERB cana-538 246 11 the the DET cana-538 246 12 dynamics dynamic NOUN cana-538 246 13 of of ADP cana-538 246 14 nanofluid nanofluid NOUN cana-538 246 15 flows flow VERB cana-538 246 16 over over ADP cana-538 246 17 a a DET cana-538 246 18 riga riga ADJ cana-538 246 19 surface surface NOUN cana-538 246 20 , , PUNCT cana-538 246 21 considering consider VERB cana-538 246 22 parameters parameter NOUN cana-538 246 23 like like ADP cana-538 246 24 𝑅𝑑 𝑅𝑑 PROPN cana-538 246 25 , , PUNCT cana-538 246 26 pr pr NOUN cana-538 246 27 , , PUNCT cana-538 246 28 and and CCONJ cana-538 246 29 Ξ²v Ξ²v PROPN cana-538 246 30 . . PUNCT cana-538 247 1 the the DET cana-538 247 2 findings finding NOUN cana-538 247 3 highlight highlight VERB cana-538 247 4 their their PRON cana-538 247 5 significant significant ADJ cana-538 247 6 impact impact NOUN cana-538 247 7 on on ADP cana-538 247 8 temperature temperature NOUN cana-538 247 9 distribution distribution NOUN cana-538 247 10 , , PUNCT cana-538 247 11 fluid fluid ADJ cana-538 247 12 flow flow NOUN cana-538 247 13 patterns pattern NOUN cana-538 247 14 , , PUNCT cana-538 247 15 and and CCONJ cana-538 247 16 friction friction NOUN cana-538 247 17 forces force NOUN cana-538 247 18 . . PUNCT cana-538 248 1 the the DET cana-538 248 2 results result NOUN cana-538 248 3 offer offer VERB cana-538 248 4 insights insight NOUN cana-538 248 5 crucial crucial ADJ cana-538 248 6 for for ADP cana-538 248 7 optimizing optimize VERB cana-538 248 8 engineering engineering NOUN cana-538 248 9 systems system NOUN cana-538 248 10 like like ADP cana-538 248 11 cooling cool VERB cana-538 248 12 technologies technology NOUN cana-538 248 13 and and CCONJ cana-538 248 14 heat heat NOUN cana-538 248 15 exchangers exchanger NOUN cana-538 248 16 . . PUNCT cana-538 249 1 this this DET cana-538 249 2 research research NOUN cana-538 249 3 advances advance VERB cana-538 249 4 our our PRON cana-538 249 5 understanding understanding NOUN cana-538 249 6 of of ADP cana-538 249 7 nanofluid nanofluid ADJ cana-538 249 8 dynamics dynamic NOUN cana-538 249 9 and and CCONJ cana-538 249 10 provides provide VERB cana-538 249 11 valuable valuable ADJ cana-538 249 12 guidance guidance NOUN cana-538 249 13 for for ADP cana-538 249 14 future future ADJ cana-538 249 15 studies study NOUN cana-538 249 16 and and CCONJ cana-538 249 17 practical practical ADJ cana-538 249 18 applications application NOUN cana-538 249 19 . . PUNCT cana-538 250 1 refrences refrence VERB cana-538 251 1 [ [ X cana-538 251 2 1 1 X cana-538 251 3 ] ] PUNCT cana-538 251 4 j. j. PROPN cana-538 251 5 radushkevich radushkevich PROPN cana-538 251 6 , , PUNCT cana-538 251 7 b. b. PROPN cana-538 251 8 lukyanovich lukyanovich PROPN cana-538 251 9 , , PUNCT cana-538 251 10 . . PUNCT cana-538 252 1 ΠΎ ΠΎ PROPN cana-538 252 2 структурС структурС NOUN cana-538 252 3 ΡƒΠ³Π»Π΅Ρ€ΠΎΠ΄Π° ΡƒΠ³Π»Π΅Ρ€ΠΎΠ΄Π° NOUN cana-538 252 4 , , PUNCT cana-538 252 5 ΠΎΠ±Ρ€Π°Π·ΡƒΡŽΡ‰Π΅Π³ΠΎΡΡ ΠΎΠ±Ρ€Π°Π·ΡƒΡŽΡ‰Π΅Π³ΠΎΡΡ PROPN cana-538 252 6 ΠΏΡ€ΠΈ ΠΏΡ€ΠΈ PROPN cana-538 252 7 тСрмичСском тСрмичСском PROPN cana-538 253 1 Ρ€Π°Π·Π»ΠΎΠΆΠ΅Π½ΠΈΠΈ Ρ€Π°Π·Π»ΠΎΠΆΠ΅Π½ΠΈΠΈ NOUN cana-538 253 2 окиси окиси NOUN cana-538 253 3 ΡƒΠ³Π»Π΅Ρ€ΠΎΠ΄Π° ΡƒΠ³Π»Π΅Ρ€ΠΎΠ΄Π° PROPN cana-538 253 4 Π½Π° Π½Π° PROPN cana-538 253 5 ΠΆΠ΅Π»Π΅Π·Π½ΠΎΠΌ ΠΆΠ΅Π»Π΅Π·Π½ΠΎΠΌ PROPN cana-538 253 6 ΠΊΠΎΠ½Ρ‚Π°ΠΊΡ‚Π΅ ΠΊΠΎΠ½Ρ‚Π°ΠΊΡ‚Π΅ NOUN cana-538 253 7 ( ( PUNCT cana-538 253 8 1952 1952 NUM cana-538 253 9 ) ) PUNCT cana-538 253 10 . . PUNCT cana-538 254 1 [ [ X cana-538 254 2 2 2 X cana-538 254 3 ] ] PUNCT cana-538 254 4 iijima iijima PROPN cana-538 254 5 s. s. PROPN cana-538 254 6 , , PUNCT cana-538 254 7 helical helical ADJ cana-538 254 8 microtubules microtubule NOUN cana-538 254 9 of of ADP cana-538 254 10 graphitic graphitic ADJ cana-538 254 11 carbon carbon NOUN cana-538 254 12 , , PUNCT cana-538 254 13 nature nature NOUN cana-538 254 14 354 354 NUM cana-538 254 15 , , PUNCT cana-538 254 16 ( ( PUNCT cana-538 254 17 1991 1991 NUM cana-538 254 18 ) ) PUNCT cana-538 254 19 . . PUNCT cana-538 255 1 56–58 56–58 NUM cana-538 255 2 17 17 NUM cana-538 255 3 . . PUNCT cana-538 256 1 [ [ X cana-538 256 2 3 3 NUM cana-538 256 3 ] ] X cana-538 256 4 murshd murshd PROPN cana-538 256 5 sms sms PROPN cana-538 256 6 , , PUNCT cana-538 256 7 leong leong PROPN cana-538 256 8 kc kc PROPN cana-538 256 9 , , PUNCT cana-538 256 10 yang yang PROPN cana-538 256 11 c. c. PROPN cana-538 256 12 enhanced enhance VERB cana-538 256 13 thermal thermal ADJ cana-538 256 14 conductivity conductivity NOUN cana-538 256 15 of of ADP cana-538 256 16 tio2water tio2water PROPN cana-538 256 17 based base VERB cana-538 256 18 nanofluid nanofluid PROPN cana-538 256 19 . . PUNCT cana-538 257 1 int int PROPN cana-538 257 2 j j PROPN cana-538 257 3 ther ther PROPN cana-538 257 4 sci sci PROPN cana-538 257 5 . . PUNCT cana-538 258 1 ( ( PUNCT cana-538 258 2 2005 2005 NUM cana-538 258 3 ) ) PUNCT cana-538 259 1 4:367–73 4:367–73 NOUN cana-538 259 2 . . PUNCT cana-538 260 1 doi doi NOUN cana-538 260 2 : : PUNCT cana-538 260 3 10.1016 10.1016 NUM cana-538 260 4 / / SYM cana-538 260 5 j.ijthermalsci.2004.12.005 j.ijthermalsci.2004.12.005 PROPN cana-538 260 6 . . PUNCT cana-538 261 1 [ [ X cana-538 261 2 4 4 NUM cana-538 261 3 ] ] X cana-538 261 4 baughman baughman PROPN cana-538 261 5 r. r. PROPN cana-538 261 6 , , PUNCT cana-538 261 7 zakhidov zakhidov PROPN cana-538 261 8 a. a. PROPN cana-538 261 9 , , PUNCT cana-538 261 10 heer heer PROPN cana-538 261 11 w. w. PROPN cana-538 261 12 carbon carbon PROPN cana-538 261 13 nanotubesthe nanotubesthe PROPN cana-538 261 14 route route NOUN cana-538 261 15 toward toward ADP cana-538 261 16 applications application NOUN cana-538 261 17 . . PUNCT cana-538 262 1 science science NOUN cana-538 262 2 . . PUNCT cana-538 263 1 ( ( PUNCT cana-538 263 2 2002 2002 NUM cana-538 263 3 ) ) PUNCT cana-538 264 1 297:787–92 297:787–92 PROPN cana-538 264 2 . . PUNCT cana-538 265 1 doi doi NOUN cana-538 265 2 : : PUNCT cana-538 265 3 10.1126 10.1126 NUM cana-538 265 4 / / SYM cana-538 265 5 science.1060928 science.1060928 PROPN cana-538 265 6 . . PUNCT cana-538 266 1 communications communication NOUN cana-538 266 2 on on ADP cana-538 266 3 applied apply VERB cana-538 266 4 nonlinear nonlinear ADJ cana-538 266 5 analysis analysis NOUN cana-538 266 6 issn issn NOUN cana-538 266 7 : : PUNCT cana-538 266 8 1074 1074 NUM cana-538 266 9 - - PUNCT cana-538 266 10 133x 133x NUM cana-538 266 11 vol vol NOUN cana-538 266 12 31 31 NUM cana-538 266 13 no no NOUN cana-538 266 14 . . NOUN cana-538 266 15 2 2 NUM cana-538 266 16 ( ( PUNCT cana-538 266 17 2024 2024 NUM cana-538 266 18 ) ) PUNCT cana-538 266 19 237 237 NUM cana-538 266 20 https://internationalpubls.com https://internationalpubls.com X cana-538 267 1 [ [ X cana-538 267 2 5 5 NUM cana-538 267 3 ] ] X cana-538 267 4 ericson ericson PROPN cana-538 267 5 lm lm PROPN cana-538 267 6 , , PUNCT cana-538 267 7 fan fan PROPN cana-538 267 8 h h PROPN cana-538 267 9 , , PUNCT cana-538 267 10 peng peng PROPN cana-538 267 11 h h PROPN cana-538 267 12 , , PUNCT cana-538 267 13 davis davis PROPN cana-538 267 14 va va PROPN cana-538 267 15 , , PUNCT cana-538 267 16 zhou zhou PROPN cana-538 267 17 w. w. PROPN cana-538 267 18 macroscopic macroscopic PROPN cana-538 267 19 neat neat ADJ cana-538 267 20 single single ADJ cana-538 267 21 - - PUNCT cana-538 267 22 walled wall VERB cana-538 267 23 carbon carbon NOUN cana-538 267 24 nanotube nanotube NOUN cana-538 267 25 fibers fiber NOUN cana-538 267 26 . . PUNCT cana-538 268 1 science science NOUN cana-538 268 2 . . PUNCT cana-538 269 1 ( ( PUNCT cana-538 269 2 2004 2004 NUM cana-538 269 3 ) ) PUNCT cana-538 269 4 305:1447–50 305:1447–50 NOUN cana-538 269 5 . . PUNCT cana-538 270 1 doi doi NOUN cana-538 270 2 : : PUNCT cana-538 270 3 10.1126 10.1126 NUM cana-538 270 4 / / SYM cana-538 270 5 science.1101398 science.1101398 PROPN cana-538 270 6 . . PUNCT cana-538 271 1 [ [ X cana-538 271 2 6 6 NUM cana-538 271 3 ] ] X cana-538 271 4 milne milne PROPN cana-538 271 5 i. i. PROPN cana-538 271 6 , , PUNCT cana-538 271 7 teo teo PROPN cana-538 271 8 k. k. PROPN cana-538 271 9 , , PUNCT cana-538 271 10 amaratunga amaratunga PROPN cana-538 271 11 g. g. PROPN cana-538 271 12 , , PUNCT cana-538 271 13 legagneux legagneux PROPN cana-538 271 14 p. p. PROPN cana-538 271 15 , , PUNCT cana-538 271 16 gangloff gangloff PROPN cana-538 271 17 l. l. PROPN cana-538 271 18 , , PUNCT cana-538 271 19 schnell schnell PROPN cana-538 271 20 p. p. NOUN cana-538 271 21 , , PUNCT cana-538 271 22 carbon carbon NOUN cana-538 271 23 nanotubes nanotube NOUN cana-538 271 24 as as ADP cana-538 271 25 field field NOUN cana-538 271 26 emission emission NOUN cana-538 271 27 sources source NOUN cana-538 271 28 , , PUNCT cana-538 271 29 j j PROPN cana-538 271 30 mat mat PROPN cana-538 271 31 chem chem NOUN cana-538 271 32 . . PUNCT cana-538 272 1 ( ( PUNCT cana-538 272 2 2004 2004 NUM cana-538 272 3 ) ) PUNCT cana-538 272 4 14:933–43 14:933–43 PROPN cana-538 272 5 . . PUNCT cana-538 273 1 doi doi NOUN cana-538 273 2 : : PUNCT cana-538 273 3 10.1039 10.1039 NUM cana-538 273 4 / / SYM cana-538 273 5 b314155c b314155c NOUN cana-538 274 1 [ [ X cana-538 274 2 7 7 NUM cana-538 274 3 ] ] ADJ cana-538 274 4 choi choi NOUN cana-538 274 5 , , PUNCT cana-538 274 6 s. s. PROPN cana-538 274 7 , , PUNCT cana-538 274 8 lockwood lockwood PROPN cana-538 274 9 , , PUNCT cana-538 274 10 f. f. PROPN cana-538 274 11 , , PUNCT cana-538 274 12 grulke grulke ADJ cana-538 274 13 , , PUNCT cana-538 274 14 e. e. PROPN cana-538 274 15 , , PUNCT cana-538 274 16 zhang zhang PROPN cana-538 274 17 , , PUNCT cana-538 274 18 z. z. PROPN cana-538 274 19 , , PUNCT cana-538 274 20 yu yu PROPN cana-538 274 21 , , PUNCT cana-538 274 22 w. w. PROPN cana-538 274 23 , , PUNCT cana-538 274 24 anomalous anomalous ADJ cana-538 274 25 thermal thermal ADJ cana-538 274 26 conductivity conductivity NOUN cana-538 274 27 enhancement enhancement NOUN cana-538 274 28 in in ADP cana-538 274 29 nanotube nanotube ADJ cana-538 274 30 suspensions suspension NOUN cana-538 274 31 , , PUNCT cana-538 274 32 appl appl NOUN cana-538 274 33 . . PUNCT cana-538 275 1 phys phy NOUN cana-538 275 2 . . PUNCT cana-538 276 1 lett lett PROPN cana-538 276 2 . . PUNCT cana-538 277 1 2001 2001 NUM cana-538 277 2 , , PUNCT cana-538 277 3 79 79 NUM cana-538 277 4 , , PUNCT cana-538 277 5 2252–2254 2252–2254 NUM cana-538 277 6 . . PUNCT cana-538 278 1 [ [ X cana-538 278 2 8 8 NUM cana-538 278 3 ] ] PUNCT cana-538 278 4 duong duong PROPN cana-538 278 5 h. h. PROPN cana-538 278 6 , , PUNCT cana-538 278 7 papavassiliou papavassiliou PROPN cana-538 278 8 d. d. PROPN cana-538 278 9 , , PUNCT cana-538 278 10 mullen mullen PROPN cana-538 278 11 k. k. PROPN cana-538 278 12 , , PUNCT cana-538 278 13 wardle wardle PROPN cana-538 278 14 b. b. PROPN cana-538 278 15 , , PUNCT cana-538 278 16 maruyama maruyama PROPN cana-538 278 17 sh sh PROPN cana-538 278 18 . . PROPN cana-538 278 19 , , PUNCT cana-538 278 20 calculated calculate VERB cana-538 278 21 thermal thermal ADJ cana-538 278 22 properties property NOUN cana-538 278 23 of of ADP cana-538 278 24 single single ADJ cana-538 278 25 - - PUNCT cana-538 278 26 walled wall VERB cana-538 278 27 carbon carbon NOUN cana-538 278 28 nanotube nanotube NOUN cana-538 278 29 suspensions suspension NOUN cana-538 278 30 , , PUNCT cana-538 278 31 j. j. PROPN cana-538 278 32 phys phys PROPN cana-538 278 33 . . PUNCT cana-538 279 1 chem chem PROPN cana-538 279 2 . . PUNCT cana-538 280 1 c c PROPN cana-538 280 2 2008 2008 NUM cana-538 280 3 , , PUNCT cana-538 280 4 112 112 NUM cana-538 280 5 , , PUNCT cana-538 280 6 19860–19865 19860–19865 NUM cana-538 280 7 . . PUNCT cana-538 281 1 [ [ X cana-538 281 2 9 9 NUM cana-538 281 3 ] ] PUNCT cana-538 281 4 rashmi rashmi PROPN cana-538 281 5 w. w. PROPN cana-538 281 6 , , PUNCT cana-538 281 7 ismail ismail PROPN cana-538 281 8 a. a. PROPN cana-538 281 9 , , PUNCT cana-538 281 10 sopyan sopyan PROPN cana-538 281 11 i. i. PROPN cana-538 281 12 , , PUNCT cana-538 281 13 jameel jameel PROPN cana-538 281 14 a. a. PROPN cana-538 281 15 , , PUNCT cana-538 281 16 yusof yusof PROPN cana-538 281 17 f. f. PROPN cana-538 281 18 , , PUNCT cana-538 281 19 khalid khalid PROPN cana-538 281 20 m. m. PROPN cana-538 281 21 , , PUNCT cana-538 281 22 mubarak mubarak PROPN cana-538 281 23 n. n. PROPN cana-538 281 24 , , PUNCT cana-538 281 25 stability stability NOUN cana-538 281 26 and and CCONJ cana-538 281 27 thermal thermal ADJ cana-538 281 28 conductivity conductivity NOUN cana-538 281 29 enhancement enhancement NOUN cana-538 281 30 of of ADP cana-538 281 31 carbon carbon NOUN cana-538 281 32 nanotube nanotube NOUN cana-538 281 33 nanofluid nanofluid NOUN cana-538 281 34 using use VERB cana-538 281 35 gum gum NOUN cana-538 281 36 arabic arabic NOUN cana-538 281 37 , , PUNCT cana-538 281 38 j. j. PROPN cana-538 281 39 of of ADP cana-538 281 40 exp exp PROPN cana-538 281 41 . . PUNCT cana-538 281 42 nano nano NOUN cana-538 281 43 . . PUNCT cana-538 282 1 2011 2011 NUM cana-538 282 2 , , PUNCT cana-538 282 3 https://doi.org/10.1080/17458080.2010.487229 https://doi.org/10.1080/17458080.2010.487229 PUNCT cana-538 282 4 . . PUNCT cana-538 283 1 [ [ X cana-538 283 2 10 10 NUM cana-538 283 3 ] ] X cana-538 283 4 t. t. PROPN cana-538 283 5 hayat,1 hayat,1 PROPN cana-538 283 6 m. m. NOUN cana-538 283 7 farooq,1 farooq,1 NOUN cana-538 283 8 and and CCONJ cana-538 283 9 a. a. NOUN cana-538 283 10 alsaedi alsaedi PROPN cana-538 283 11 , , PUNCT cana-538 283 12 homogeneous homogeneous ADJ cana-538 283 13 - - PUNCT cana-538 283 14 heterogeneous heterogeneous ADJ cana-538 283 15 reactions reaction NOUN cana-538 283 16 in in ADP cana-538 283 17 the the DET cana-538 283 18 stagnation stagnation NOUN cana-538 283 19 point point NOUN cana-538 283 20 flow flow NOUN cana-538 283 21 of of ADP cana-538 283 22 carbon carbon NOUN cana-538 283 23 nanotubes nanotube NOUN cana-538 283 24 with with ADP cana-538 283 25 newtonian newtonian ADJ cana-538 283 26 heating heating NOUN cana-538 283 27 , , PUNCT cana-538 283 28 aip aip PROPN cana-538 283 29 advances advance NOUN cana-538 283 30 , , PUNCT cana-538 283 31 ( ( PUNCT cana-538 283 32 2015 2015 NUM cana-538 283 33 ) ) PUNCT cana-538 283 34 , , PUNCT cana-538 283 35 https://doi.org/10.1063/1.4908602 https://doi.org/10.1063/1.4908602 NOUN cana-538 283 36 . . PUNCT cana-538 284 1 [ [ X cana-538 284 2 11 11 NUM cana-538 284 3 ] ] X cana-538 284 4 estellΓ© estellΓ© NOUN cana-538 284 5 p. p. NOUN cana-538 284 6 , , PUNCT cana-538 284 7 halelfadl halelfadl PROPN cana-538 284 8 s. s. PROPN cana-538 284 9 , , PUNCT cana-538 284 10 thermal thermal ADJ cana-538 284 11 conductivity conductivity NOUN cana-538 284 12 of of ADP cana-538 284 13 cnt cnt PROPN cana-538 284 14 water water NOUN cana-538 284 15 based base VERB cana-538 284 16 nanofluids nanofluid NOUN cana-538 284 17 : : PUNCT cana-538 284 18 experimental experimental ADJ cana-538 284 19 trends trend NOUN cana-538 284 20 and and CCONJ cana-538 284 21 models model NOUN cana-538 284 22 overview overview VERB cana-538 284 23 , , PUNCT cana-538 284 24 j. j. PROPN cana-538 284 25 of of ADP cana-538 284 26 ther ther PROPN cana-538 284 27 . . PUNCT cana-538 285 1 engi engi PROPN cana-538 285 2 . . PUNCT cana-538 286 1 ( ( PUNCT cana-538 286 2 2015 2015 NUM cana-538 286 3 ) ) PUNCT cana-538 286 4 1 1 NUM cana-538 286 5 , , PUNCT cana-538 286 6 2 2 NUM cana-538 286 7 , , PUNCT cana-538 286 8 381 381 NUM cana-538 286 9 - - SYM cana-538 286 10 390 390 NUM cana-538 286 11 . . PUNCT cana-538 287 1 [ [ X cana-538 287 2 12 12 NUM cana-538 287 3 ] ] X cana-538 287 4 iqbal iqbal PROPN cana-538 287 5 z. z. PROPN cana-538 287 6 , , PUNCT cana-538 287 7 azhar azhar PROPN cana-538 287 8 e. e. PROPN cana-538 287 9 , , PUNCT cana-538 287 10 maraj maraj PROPN cana-538 287 11 e. e. PROPN cana-538 287 12 , , PUNCT cana-538 287 13 transport transport VERB cana-538 287 14 phenomena phenomenon NOUN cana-538 287 15 of of ADP cana-538 287 16 carbon carbon NOUN cana-538 287 17 nanotubes nanotube NOUN cana-538 287 18 and and CCONJ cana-538 287 19 bioconvection bioconvection NOUN cana-538 287 20 nanoparticles nanoparticle NOUN cana-538 287 21 on on ADP cana-538 287 22 stagnation stagnation NOUN cana-538 287 23 point point NOUN cana-538 287 24 flow flow NOUN cana-538 287 25 in in ADP cana-538 287 26 presence presence NOUN cana-538 287 27 of of ADP cana-538 287 28 induced induced ADJ cana-538 287 29 magnetic magnetic ADJ cana-538 287 30 field field NOUN cana-538 287 31 , , PUNCT cana-538 287 32 physica physica NOUN cana-538 287 33 e e PROPN cana-538 287 34 91 91 NUM cana-538 287 35 ( ( PUNCT cana-538 287 36 2017 2017 NUM cana-538 287 37 ) ) PUNCT cana-538 287 38 128–135 128–135 NUM cana-538 287 39 http://dx.doi.org/10.1016/j.physe.2017.04.022 http://dx.doi.org/10.1016/j.physe.2017.04.022 PROPN cana-538 287 40 . . PUNCT cana-538 288 1 [ [ X cana-538 288 2 13 13 NUM cana-538 288 3 ] ] X cana-538 288 4 nasir nasir PROPN cana-538 288 5 s. s. PROPN cana-538 288 6 , , PUNCT cana-538 288 7 shah shah PROPN cana-538 288 8 z. z. PROPN cana-538 288 9 , , PUNCT cana-538 288 10 islam islam PROPN cana-538 288 11 s. s. PROPN cana-538 288 12 , , PUNCT cana-538 288 13 bonyah bonyah PROPN cana-538 288 14 e. e. PROPN cana-538 288 15 , , PUNCT cana-538 288 16 gul gul PROPN cana-538 288 17 t. t. PROPN cana-538 288 18 , , PUNCT cana-538 288 19 darcy darcy PROPN cana-538 288 20 forchheimer forchheimer PROPN cana-538 288 21 nanofluid nanofluid PROPN cana-538 288 22 thin thin ADJ cana-538 288 23 film film NOUN cana-538 288 24 flow flow NOUN cana-538 288 25 of of ADP cana-538 288 26 swcnts swcnt NOUN cana-538 288 27 and and CCONJ cana-538 288 28 heat heat NOUN cana-538 288 29 transfer transfer NOUN cana-538 288 30 analysis analysis NOUN cana-538 288 31 over over ADP cana-538 288 32 an an DET cana-538 288 33 unsteady unsteady ADJ cana-538 288 34 stretching stretch VERB cana-538 288 35 sheet sheet NOUN cana-538 288 36 , , PUNCT cana-538 288 37 aip aip PROPN cana-538 288 38 advances advance VERB cana-538 288 39 ( ( PUNCT cana-538 288 40 2019 2019 NUM cana-538 288 41 ) ) PUNCT cana-538 288 42 , , PUNCT cana-538 288 43 9 9 NUM cana-538 288 44 , , PUNCT cana-538 288 45 doi doi NOUN cana-538 288 46 : : PUNCT cana-538 288 47 10.1063/1.5083972 10.1063/1.5083972 NUM cana-538 288 48 . . PUNCT cana-538 289 1 [ [ X cana-538 289 2 14 14 NUM cana-538 289 3 ] ] X cana-538 289 4 rahman rahman PROPN cana-538 289 5 j. j. PROPN cana-538 289 6 , , PUNCT cana-538 289 7 khan khan PROPN cana-538 289 8 u. u. PROPN cana-538 289 9 , , PUNCT cana-538 289 10 ahmad ahmad PROPN cana-538 289 11 sh sh PROPN cana-538 289 12 . . PROPN cana-538 289 13 , , PUNCT cana-538 289 14 ramzan ramzan PROPN cana-538 289 15 m. m. PROPN cana-538 289 16 , , PUNCT cana-538 289 17 suleman suleman PROPN cana-538 289 18 m. m. PROPN cana-538 289 19 , , PUNCT cana-538 289 20 lu lu PROPN cana-538 289 21 d. d. PROPN cana-538 289 22 , , PUNCT cana-538 289 23 inam inam PROPN cana-538 289 24 s. s. PROPN cana-538 289 25 , , PUNCT cana-538 289 26 numerical numerical PROPN cana-538 289 27 simulation simulation NOUN cana-538 289 28 of of ADP cana-538 289 29 darcyforchheimer darcyforchheimer NOUN cana-538 289 30 3d 3d NUM cana-538 289 31 unsteady unsteady ADJ cana-538 289 32 nanofluid nanofluid ADJ cana-538 289 33 flow flow NOUN cana-538 289 34 comprising comprise VERB cana-538 289 35 carbon carbon NOUN cana-538 289 36 nanotubes nanotube NOUN cana-538 289 37 with with ADP cana-538 289 38 cattaneo cattaneo NOUN cana-538 289 39 - - PUNCT cana-538 289 40 christov christov ADJ cana-538 289 41 heat heat NOUN cana-538 289 42 flux flux NOUN cana-538 289 43 and and CCONJ cana-538 289 44 velocity velocity NOUN cana-538 289 45 and and CCONJ cana-538 289 46 thermal thermal ADJ cana-538 289 47 slip slip NOUN cana-538 289 48 conditions condition NOUN cana-538 289 49 , , PUNCT cana-538 289 50 processes process NOUN cana-538 289 51 ( ( PUNCT cana-538 289 52 2019 2019 NUM cana-538 289 53 ) ) PUNCT cana-538 289 54 , , PUNCT cana-538 289 55 7 7 NUM cana-538 289 56 , , PUNCT cana-538 289 57 687 687 NUM cana-538 289 58 ; ; PUNCT cana-538 289 59 doi:10.3390 doi:10.3390 NOUN cana-538 289 60 / / SYM cana-538 289 61 pr7100687 pr7100687 NOUN cana-538 289 62 . . PUNCT cana-538 290 1 [ [ X cana-538 290 2 15 15 NUM cana-538 290 3 ] ] X cana-538 290 4 hayat hayat PROPN cana-538 290 5 t. t. PROPN cana-538 290 6 , , PUNCT cana-538 290 7 khan khan PROPN cana-538 290 8 s. s. PROPN cana-538 290 9 , , PUNCT cana-538 290 10 a. a. PROPN cana-538 290 11 alsaedi alsaedi PROPN cana-538 290 12 , , PUNCT cana-538 290 13 zia zia PROPN cana-538 290 14 q. q. PROPN cana-538 290 15 , , PUNCT cana-538 290 16 irreversibility irreversibility NOUN cana-538 290 17 analysis analysis NOUN cana-538 290 18 in in ADP cana-538 290 19 darcy darcy PROPN cana-538 290 20 - - PUNCT cana-538 290 21 forchheimer forchheimer PROPN cana-538 290 22 flow flow NOUN cana-538 290 23 of of ADP cana-538 290 24 cnts cnt NOUN cana-538 290 25 with with ADP cana-538 290 26 dissipation dissipation NOUN cana-538 290 27 and and CCONJ cana-538 290 28 joule joule NOUN cana-538 290 29 heating heating NOUN cana-538 290 30 effects effect NOUN cana-538 290 31 by by ADP cana-538 290 32 a a DET cana-538 290 33 curved curved ADJ cana-538 290 34 stretching stretch VERB cana-538 290 35 sheet sheet NOUN cana-538 290 36 , , PUNCT cana-538 290 37 applied apply VERB cana-538 290 38 nanoscience nanoscience NOUN cana-538 290 39 11 11 NUM cana-538 290 40 ( ( PUNCT cana-538 290 41 2021 2021 NUM cana-538 290 42 ) ) PUNCT cana-538 290 43 187 187 NUM cana-538 290 44 – – SYM cana-538 290 45 198 198 NUM cana-538 290 46 https://doi.org/10.1007/s13204-020-01566-w https://doi.org/10.1007/s13204-020-01566-w NOUN cana-538 290 47 [ [ X cana-538 290 48 16 16 NUM cana-538 290 49 ] ] X cana-538 290 50 reddy reddy PROPN cana-538 290 51 p. p. PROPN cana-538 290 52 , , PUNCT cana-538 290 53 sreedevi sreedevi PROPN cana-538 290 54 p. p. PROPN cana-538 290 55 , , PUNCT cana-538 290 56 reddy reddy PROPN cana-538 290 57 v. v. PROPN cana-538 290 58 , , PUNCT cana-538 290 59 entropy entropy NOUN cana-538 290 60 generation generation NOUN cana-538 290 61 and and CCONJ cana-538 290 62 heat heat NOUN cana-538 290 63 transfer transfer NOUN cana-538 290 64 analysis analysis NOUN cana-538 290 65 of of ADP cana-538 290 66 magnetic magnetic ADJ cana-538 290 67 nanofluid nanofluid ADJ cana-538 290 68 flow flow NOUN cana-538 290 69 inside inside ADP cana-538 290 70 a a DET cana-538 290 71 square square ADJ cana-538 290 72 cavity cavity NOUN cana-538 290 73 filled fill VERB cana-538 290 74 with with ADP cana-538 290 75 carbon carbon NOUN cana-538 290 76 nanotubes nanotube NOUN cana-538 290 77 , , PUNCT cana-538 290 78 chem chem NOUN cana-538 290 79 . . PUNCT cana-538 291 1 therm therm PROPN cana-538 291 2 . . PUNCT cana-538 292 1 and and CCONJ cana-538 292 2 ther ther ADV cana-538 292 3 . . PUNCT cana-538 293 1 anal anal ADJ cana-538 293 2 . . PUNCT cana-538 294 1 6 6 NUM cana-538 294 2 ( ( PUNCT cana-538 294 3 2022 2022 NUM cana-538 294 4 ) ) PUNCT cana-538 294 5 100045 100045 NUM cana-538 294 6 https://doi.org/10.1016/j.ctta.2022.100045 https://doi.org/10.1016/j.ctta.2022.100045 ADJ cana-538 294 7 . . PUNCT cana-538 295 1 [ [ X cana-538 295 2 17 17 NUM cana-538 295 3 ] ] X cana-538 295 4 manaa manaa NOUN cana-538 295 5 n. n. NOUN cana-538 295 6 , , PUNCT cana-538 295 7 abidi abidi PROPN cana-538 295 8 a. a. PROPN cana-538 295 9 , , PUNCT cana-538 295 10 estellΓ© estellΓ© NOUN cana-538 295 11 p. p. NOUN cana-538 295 12 , , PUNCT cana-538 295 13 borjini borjini NOUN cana-538 295 14 m. m. NOUN cana-538 295 15 , , PUNCT cana-538 295 16 numerical numerical PROPN cana-538 295 17 simulation simulation NOUN cana-538 295 18 of of ADP cana-538 295 19 three three NUM cana-538 295 20 - - PUNCT cana-538 295 21 dimensional dimensional ADJ cana-538 295 22 thermo thermo NOUN cana-538 295 23 - - PUNCT cana-538 295 24 solutal solutal ADJ cana-538 295 25 convection convection NOUN cana-538 295 26 of of ADP cana-538 295 27 micropolar micropolar ADJ cana-538 295 28 multi multi ADJ cana-538 295 29 - - ADJ cana-538 295 30 walled walled ADJ cana-538 295 31 carbon carbon NOUN cana-538 295 32 nanotubes nanotube NOUN cana-538 295 33 water water NOUN cana-538 295 34 nanofluid nanofluid NOUN cana-538 295 35 stabilized stabilize VERB cana-538 295 36 by by ADP cana-538 295 37 lignin lignin NOUN cana-538 295 38 and and CCONJ cana-538 295 39 sodium sodium NOUN cana-538 295 40 polycarboxylate polycarboxylate ADV cana-538 295 41 , , PUNCT cana-538 295 42 j. j. PROPN cana-538 295 43 of of ADP cana-538 295 44 ther ther PROPN cana-538 295 45 . . PUNCT cana-538 296 1 anal anal PROPN cana-538 296 2 . . PUNCT cana-538 297 1 and and CCONJ cana-538 297 2 calo calo PROPN cana-538 297 3 . . PROPN cana-538 297 4 147 147 NUM cana-538 297 5 ( ( PUNCT cana-538 297 6 2022 2022 NUM cana-538 297 7 ) ) PUNCT cana-538 297 8 2985–3005 2985–3005 NUM cana-538 297 9 https://doi.org/10.1007/s10973-02110667-9 https://doi.org/10.1007/s10973-02110667-9 NOUN cana-538 297 10 . . PUNCT cana-538 298 1 [ [ X cana-538 298 2 18 18 NUM cana-538 298 3 ] ] X cana-538 298 4 s. s. PROPN cana-538 298 5 mehryan mehryan PROPN cana-538 298 6 , , PUNCT cana-538 298 7 m. m. NOUN cana-538 298 8 izadi izadi NOUN cana-538 298 9 , , PUNCT cana-538 298 10 z. z. PROPN cana-538 298 11 namazian namazian PROPN cana-538 298 12 , , PUNCT cana-538 298 13 a. a. NOUN cana-538 298 14 chamkha chamkha PROPN cana-538 298 15 , , PUNCT cana-538 298 16 natural natural ADJ cana-538 298 17 convection convection NOUN cana-538 298 18 of of ADP cana-538 298 19 multi multi ADJ cana-538 298 20 - - ADJ cana-538 298 21 walled walled ADJ cana-538 298 22 carbon carbon NOUN cana-538 298 23 nanotube nanotube NOUN cana-538 298 24 – – PUNCT cana-538 298 25 fe3o4 fe3o4 NOUN cana-538 298 26 / / SYM cana-538 298 27 water water NOUN cana-538 298 28 magnetic magnetic ADJ cana-538 298 29 hybrid hybrid ADJ cana-538 298 30 nanofluid nanofluid NOUN cana-538 298 31 flowing flow VERB cana-538 298 32 in in ADP cana-538 298 33 porous porous ADJ cana-538 298 34 medium medium NOUN cana-538 298 35 considering consider VERB cana-538 298 36 the the DET cana-538 298 37 impacts impact NOUN cana-538 298 38 of of ADP cana-538 298 39 magnetic magnetic ADJ cana-538 298 40 field field NOUN cana-538 298 41 - - PUNCT cana-538 298 42 dependent dependent ADJ cana-538 298 43 viscosity viscosity NOUN cana-538 298 44 , , PUNCT cana-538 298 45 j. j. PROPN cana-538 298 46 of of ADP cana-538 298 47 ther ther PROPN cana-538 298 48 . . PUNCT cana-538 299 1 anal anal PROPN cana-538 299 2 . . PUNCT cana-538 300 1 and and CCONJ cana-538 300 2 calo calo PROPN cana-538 300 3 . . PROPN cana-538 300 4 138 138 NUM cana-538 300 5 ( ( PUNCT cana-538 300 6 2019 2019 NUM cana-538 300 7 ) ) PUNCT cana-538 300 8 1541–1555 1541–1555 NUM cana-538 300 9 https://doi.org/10.1007/s10973-019-08164-1 https://doi.org/10.1007/s10973-019-08164-1 NUM cana-538 300 10 . . PUNCT cana-538 301 1 [ [ X cana-538 301 2 19 19 NUM cana-538 301 3 ] ] X cana-538 301 4 liu liu PROPN cana-538 301 5 ch ch PROPN cana-538 301 6 . . PROPN cana-538 301 7 , , PUNCT cana-538 301 8 duan duan PROPN cana-538 301 9 y. y. PROPN cana-538 301 10 , , PUNCT cana-538 301 11 cai cai PROPN cana-538 301 12 j. j. PROPN cana-538 301 13 , , PUNCT cana-538 301 14 li li PROPN cana-538 301 15 x. x. PROPN cana-538 301 16 , , PUNCT cana-538 301 17 zhang zhang PROPN cana-538 301 18 d. d. PROPN cana-538 301 19 , , PUNCT cana-538 301 20 gao gao PROPN cana-538 301 21 j. j. PROPN cana-538 301 22 , , PUNCT cana-538 301 23 che che PROPN cana-538 301 24 y. y. PROPN cana-538 301 25 compressible compressible ADJ cana-538 301 26 fe3o4 fe3o4 PROPN cana-538 301 27 / / SYM cana-538 301 28 mwcnts mwcnt NOUN cana-538 301 29 - - PUNCT cana-538 301 30 coated coat VERB cana-538 301 31 polymer polymer NOUN cana-538 301 32 foams foam NOUN cana-538 301 33 for for ADP cana-538 301 34 high high ADJ cana-538 301 35 - - PUNCT cana-538 301 36 performance performance NOUN cana-538 301 37 and and CCONJ cana-538 301 38 tunable tunable ADJ cana-538 301 39 electromagnetic electromagnetic ADJ cana-538 301 40 microwave microwave NOUN cana-538 301 41 absorption absorption NOUN cana-538 301 42 , , PUNCT cana-538 301 43 materials material NOUN cana-538 301 44 research research NOUN cana-538 301 45 express express ADJ cana-538 301 46 , , PUNCT cana-538 301 47 6 6 NUM cana-538 301 48 ( ( PUNCT cana-538 301 49 10 10 NUM cana-538 301 50 ) ) PUNCT cana-538 301 51 ( ( PUNCT cana-538 301 52 2019 2019 NUM cana-538 301 53 ) ) PUNCT cana-538 301 54 106114 106114 NUM cana-538 301 55 . . PUNCT cana-538 302 1 [ [ X cana-538 302 2 20 20 NUM cana-538 302 3 ] ] X cana-538 302 4 tassaddiq tassaddiq NOUN cana-538 302 5 a. a. PROPN cana-538 302 6 , , PUNCT cana-538 302 7 khan khan PROPN cana-538 302 8 s. s. PROPN cana-538 302 9 , , PUNCT cana-538 302 10 bilal bilal PROPN cana-538 302 11 m. m. NOUN cana-538 302 12 , , PUNCT cana-538 302 13 gul gul PROPN cana-538 302 14 t. t. PROPN cana-538 302 15 , , PUNCT cana-538 302 16 mukhtar mukhtar PROPN cana-538 302 17 s. s. PROPN cana-538 302 18 , , PUNCT cana-538 302 19 shah shah PROPN cana-538 302 20 z. z. PROPN cana-538 302 21 , , PUNCT cana-538 302 22 et et PROPN cana-538 302 23 al al PROPN cana-538 302 24 . . PROPN cana-538 302 25 , , PUNCT cana-538 302 26 heat heat NOUN cana-538 302 27 and and CCONJ cana-538 302 28 mass mass NOUN cana-538 302 29 transfer transfer NOUN cana-538 302 30 together together ADV cana-538 302 31 with with ADP cana-538 302 32 hybrid hybrid ADJ cana-538 302 33 nanofluid nanofluid ADJ cana-538 302 34 flow flow NOUN cana-538 302 35 over over ADP cana-538 302 36 a a DET cana-538 302 37 rotating rotate VERB cana-538 302 38 disk disk NOUN cana-538 302 39 , , PUNCT cana-538 302 40 aip aip PROPN cana-538 302 41 adv adv PROPN cana-538 302 42 . . PROPN cana-538 302 43 10 10 NUM cana-538 302 44 ( ( PUNCT cana-538 302 45 5 5 NUM cana-538 302 46 ) ) PUNCT cana-538 302 47 ( ( PUNCT cana-538 302 48 2020 2020 NUM cana-538 302 49 ) ) PUNCT cana-538 302 50 055317 055317 NUM cana-538 302 51 . . PUNCT cana-538 303 1 [ [ X cana-538 303 2 21 21 NUM cana-538 303 3 ] ] X cana-538 303 4 shah shah PROPN cana-538 303 5 z. z. PROPN cana-538 303 6 , , PUNCT cana-538 303 7 saeed saeed PROPN cana-538 303 8 a. a. PROPN cana-538 303 9 , , PUNCT cana-538 303 10 khan khan PROPN cana-538 303 11 i. i. PROPN cana-538 303 12 , , PUNCT cana-538 303 13 selim selim PROPN cana-538 303 14 m. m. PROPN cana-538 303 15 , , PUNCT cana-538 303 16 ikramullah ikramullah PROPN cana-538 303 17 , , PUNCT cana-538 303 18 kumam kumam PROPN cana-538 303 19 p. p. PROPN cana-538 303 20 , , PUNCT cana-538 303 21 numerical numerical ADJ cana-538 303 22 modeling modeling NOUN cana-538 303 23 on on ADP cana-538 303 24 hybrid hybrid ADJ cana-538 303 25 nanofluid nanofluid NOUN cana-538 303 26 ( ( PUNCT cana-538 303 27 fe3o4+mwcnt fe3o4+mwcnt PROPN cana-538 303 28 / / SYM cana-538 303 29 h2o h2o PROPN cana-538 303 30 ) ) PUNCT cana-538 303 31 migration migration NOUN cana-538 303 32 considering consider VERB cana-538 303 33 mhd mhd NOUN cana-538 303 34 effect effect NOUN cana-538 303 35 over over ADP cana-538 303 36 a a DET cana-538 303 37 porous porous ADJ cana-538 303 38 cylinder cylinder NOUN cana-538 303 39 , , PUNCT cana-538 303 40 plos plos PROPN cana-538 303 41 one one NUM cana-538 303 42 ( ( PUNCT cana-538 303 43 2021 2021 NUM cana-538 303 44 ) ) PUNCT cana-538 303 45 https://doi.org/10.1371/journal.pone.0251744 https://doi.org/10.1371/journal.pone.0251744 VERB cana-538 303 46 . . PUNCT cana-538 304 1 [ [ X cana-538 304 2 22 22 NUM cana-538 304 3 ] ] X cana-538 304 4 saeed saeed PROPN cana-538 304 5 a. a. PROPN cana-538 304 6 , , PUNCT cana-538 304 7 alghamdi alghamdi PROPN cana-538 304 8 w. w. PROPN cana-538 304 9 , , PUNCT cana-538 304 10 mukhtar mukhtar PROPN cana-538 304 11 s. s. PROPN cana-538 304 12 , , PUNCT cana-538 304 13 shah shah PROPN cana-538 304 14 s. s. PROPN cana-538 304 15 , , PUNCT cana-538 304 16 kumam kumam PROPN cana-538 304 17 p. p. PROPN cana-538 304 18 , , PUNCT cana-538 304 19 gul gul PROPN cana-538 304 20 t. t. PROPN cana-538 304 21 , , PUNCT cana-538 304 22 nasir nasir PROPN cana-538 304 23 s. s. PROPN cana-538 304 24 , , PUNCT cana-538 304 25 kumam kumam PROPN cana-538 304 26 w. w. PROPN cana-538 304 27 , , PUNCT cana-538 304 28 darcyforchheimer darcyforchheimer ADJ cana-538 304 29 hybrid hybrid ADJ cana-538 304 30 nanofluid nanofluid NOUN cana-538 304 31 flow flow NOUN cana-538 304 32 over over ADP cana-538 304 33 a a DET cana-538 304 34 stretching stretch VERB cana-538 304 35 curved curved ADJ cana-538 304 36 surface surface NOUN cana-538 304 37 with with ADP cana-538 304 38 heat heat NOUN cana-538 304 39 and and CCONJ cana-538 304 40 mass mass NOUN cana-538 304 41 transfer transfer NOUN cana-538 304 42 , , PUNCT cana-538 304 43 plos plos PROPN cana-538 304 44 one one NUM cana-538 304 45 ( ( PUNCT cana-538 304 46 2021 2021 NUM cana-538 304 47 ) ) PUNCT cana-538 304 48 https://doi.org/10.1371/journal.pone.0249434 https://doi.org/10.1371/journal.pone.0249434 NOUN cana-538 304 49 . . PUNCT cana-538 305 1 communications communication NOUN cana-538 305 2 on on ADP cana-538 305 3 applied apply VERB cana-538 305 4 nonlinear nonlinear ADJ cana-538 305 5 analysis analysis NOUN cana-538 305 6 issn issn NOUN cana-538 305 7 : : PUNCT cana-538 305 8 1074 1074 NUM cana-538 305 9 - - PUNCT cana-538 305 10 133x 133x NUM cana-538 305 11 vol vol NOUN cana-538 305 12 31 31 NUM cana-538 305 13 no no NOUN cana-538 305 14 . . NOUN cana-538 305 15 2 2 NUM cana-538 305 16 ( ( PUNCT cana-538 305 17 2024 2024 NUM cana-538 305 18 ) ) PUNCT cana-538 305 19 238 238 NUM cana-538 305 20 https://internationalpubls.com https://internationalpubls.com X cana-538 306 1 [ [ X cana-538 306 2 23 23 NUM cana-538 306 3 ] ] X cana-538 306 4 khan khan PROPN cana-538 306 5 m. m. PROPN cana-538 306 6 , , PUNCT cana-538 306 7 mei mei PROPN cana-538 306 8 s. s. PROPN cana-538 306 9 , , PUNCT cana-538 306 10 shabnam shabnam PROPN cana-538 306 11 , , PUNCT cana-538 306 12 fernandezgamiz fernandezgamiz PROPN cana-538 306 13 u. u. PROPN cana-538 306 14 , , PUNCT cana-538 306 15 noeiaghdam noeiaghdam PROPN cana-538 306 16 s. s. PROPN cana-538 306 17 , , PUNCT cana-538 306 18 shah shah PROPN cana-538 306 19 s. s. PROPN cana-538 306 20 , , PUNCT cana-538 306 21 khan khan PROPN cana-538 306 22 a. a. PROPN cana-538 306 23 , , PUNCT cana-538 306 24 numerical numerical ADJ cana-538 306 25 analysis analysis NOUN cana-538 306 26 of of ADP cana-538 306 27 unsteady unsteady ADJ cana-538 306 28 hybrid hybrid ADJ cana-538 306 29 nanofluid nanofluid ADJ cana-538 306 30 flow flow NOUN cana-538 306 31 comprising comprise VERB cana-538 306 32 cnts cnt NOUN cana-538 306 33 - - PUNCT cana-538 306 34 ferrousoxide ferrousoxide NOUN cana-538 306 35 / / SYM cana-538 306 36 water water NOUN cana-538 306 37 with with ADP cana-538 306 38 variable variable ADJ cana-538 306 39 magnetic magnetic ADJ cana-538 306 40 field field NOUN cana-538 306 41 , , PUNCT cana-538 306 42 nanomaterials nanomaterial NOUN cana-538 306 43 12 12 NUM cana-538 306 44 180 180 NUM cana-538 306 45 ( ( PUNCT cana-538 306 46 2022 2022 NUM cana-538 306 47 ) ) PUNCT cana-538 306 48 https://doi.org/10.3390/nano12020180 https://doi.org/10.3390/nano12020180 NOUN cana-538 306 49 . . PUNCT cana-538 307 1 [ [ X cana-538 307 2 24 24 NUM cana-538 307 3 ] ] X cana-538 307 4 khan khan PROPN cana-538 307 5 m. m. PROPN cana-538 307 6 , , PUNCT cana-538 307 7 mei mei PROPN cana-538 307 8 s. s. PROPN cana-538 307 9 , , PUNCT cana-538 307 10 shabnam shabnam PROPN cana-538 307 11 , , PUNCT cana-538 307 12 shah shah PROPN cana-538 307 13 n. n. PROPN cana-538 307 14 , , PUNCT cana-538 307 15 chung chung PROPN cana-538 307 16 j. j. PROPN cana-538 307 17 , , PUNCT cana-538 307 18 khan khan PROPN cana-538 307 19 a. a. PROPN cana-538 307 20 , , PUNCT cana-538 307 21 shah shah PROPN cana-538 307 22 s. s. PROPN cana-538 307 23 , , PUNCT cana-538 307 24 steady steady ADJ cana-538 307 25 squeezing squeezing NOUN cana-538 307 26 flow flow NOUN cana-538 307 27 of of ADP cana-538 307 28 magnetohydrodynamics magnetohydrodynamic NOUN cana-538 307 29 hybrid hybrid ADJ cana-538 307 30 nanofluid nanofluid PROPN cana-538 307 31 flow flow NOUN cana-538 307 32 comprising comprise VERB cana-538 307 33 carbon carbon NOUN cana-538 307 34 nanotube nanotube NOUN cana-538 307 35 - - PUNCT cana-538 307 36 ferrous ferrous ADJ cana-538 307 37 oxide oxide NOUN cana-538 307 38 / / SYM cana-538 307 39 water water NOUN cana-538 307 40 with with ADP cana-538 307 41 suction suction NOUN cana-538 307 42 / / SYM cana-538 307 43 injection injection NOUN cana-538 307 44 effect effect NOUN cana-538 307 45 , , PUNCT cana-538 307 46 nanomaterials nanomaterial NOUN cana-538 307 47 2022 2022 NUM cana-538 307 48 , , PUNCT cana-538 307 49 12 12 NUM cana-538 307 50 , , PUNCT cana-538 307 51 660 660 NUM cana-538 307 52 . . PUNCT cana-538 307 53 https://doi.org/10.3390/nano12040660 https://doi.org/10.3390/nano12040660 NOUN cana-538 307 54 . . PUNCT cana-538 308 1 [ [ X cana-538 308 2 25 25 NUM cana-538 308 3 ] ] PUNCT cana-538 308 4 m. m. NOUN cana-538 308 5 krishnamurthy krishnamurthy PROPN cana-538 308 6 , , PUNCT cana-538 308 7 mhd mhd PROPN cana-538 308 8 flow flow NOUN cana-538 308 9 and and CCONJ cana-538 308 10 radiative radiative ADJ cana-538 308 11 heat heat NOUN cana-538 308 12 transfer transfer NOUN cana-538 308 13 of of ADP cana-538 308 14 micropolar micropolar ADJ cana-538 308 15 dusty dusty ADJ cana-538 308 16 fluid fluid NOUN cana-538 308 17 suspended suspend VERB cana-538 308 18 with with ADP cana-538 308 19 alumina alumina NOUN cana-538 308 20 nanoparticles nanoparticle NOUN cana-538 308 21 over over ADP cana-538 308 22 a a DET cana-538 308 23 stretching stretch VERB cana-538 308 24 sheet sheet NOUN cana-538 308 25 embedded embed VERB cana-538 308 26 in in ADP cana-538 308 27 a a DET cana-538 308 28 porous porous ADJ cana-538 308 29 medium medium NOUN cana-538 308 30 , , PUNCT cana-538 308 31 jnnce jnnce ADJ cana-538 308 32 journal journal NOUN cana-538 308 33 of of ADP cana-538 308 34 engineering engineering PROPN cana-538 308 35 & & CCONJ cana-538 308 36 management management PROPN cana-538 308 37 ( ( PUNCT cana-538 308 38 jjem jjem PROPN cana-538 308 39 ) ) PUNCT cana-538 308 40 2 2 NUM cana-538 308 41 ( ( PUNCT cana-538 308 42 1 1 NUM cana-538 308 43 ) ) PUNCT cana-538 308 44 ( ( PUNCT cana-538 308 45 2018 2018 NUM cana-538 308 46 ) ) PUNCT cana-538 308 47 . . PUNCT cana-538 309 1 [ [ X cana-538 309 2 26 26 NUM cana-538 309 3 ] ] PUNCT cana-538 309 4 eid eid PROPN cana-538 309 5 m. m. NOUN cana-538 309 6 , , PUNCT cana-538 309 7 mabood mabood PROPN cana-538 309 8 f. f. PROPN cana-538 309 9 , , PUNCT cana-538 309 10 entropy entropy VERB cana-538 309 11 analysis analysis NOUN cana-538 309 12 of of ADP cana-538 309 13 a a DET cana-538 309 14 hydromagnetic hydromagnetic ADJ cana-538 309 15 micropolar micropolar ADJ cana-538 309 16 dusty dusty ADJ cana-538 309 17 carbon carbon NOUN cana-538 309 18 nts nts PROPN cana-538 309 19 - - PUNCT cana-538 309 20 kerosene kerosene NOUN cana-538 309 21 nanofluid nanofluid NOUN cana-538 309 22 with with ADP cana-538 309 23 heat heat NOUN cana-538 309 24 generation generation NOUN cana-538 309 25 : : PUNCT cana-538 309 26 darcy darcy PROPN cana-538 309 27 – – PUNCT cana-538 309 28 forchheimer forchheimer ADJ cana-538 309 29 scheme scheme NOUN cana-538 309 30 , , PUNCT cana-538 309 31 j j PROPN cana-538 309 32 of of ADP cana-538 309 33 ther ther PROPN cana-538 309 34 anal anal PROPN cana-538 309 35 and and CCONJ cana-538 309 36 calo calo PROPN cana-538 309 37 ( ( PUNCT cana-538 309 38 2021 2021 NUM cana-538 309 39 ) ) PUNCT cana-538 309 40 143:2419–2436 143:2419–2436 NUM cana-538 309 41 https://doi.org/10.1007/s10973-020-09928 https://doi.org/10.1007/s10973-020-09928 NOUN cana-538 309 42 . . PUNCT cana-538 310 1 [ [ X cana-538 310 2 27 27 NUM cana-538 310 3 ] ] X cana-538 310 4 nabwey nabwey PROPN cana-538 310 5 h. h. PROPN cana-538 310 6 , , PUNCT cana-538 310 7 mahdy mahdy PROPN cana-538 310 8 a. a. PROPN cana-538 310 9 , , PUNCT cana-538 310 10 transient transient ADJ cana-538 310 11 flow flow NOUN cana-538 310 12 of of ADP cana-538 310 13 micropolar micropolar ADJ cana-538 310 14 dusty dusty ADJ cana-538 310 15 hybrid hybrid NOUN cana-538 310 16 nanofluid nanofluid NOUN cana-538 310 17 loaded load VERB cana-538 310 18 with with ADP cana-538 310 19 fe3o4 fe3o4 PROPN cana-538 310 20 - - PUNCT cana-538 310 21 ag ag ADJ cana-538 310 22 nanoparticles nanoparticle NOUN cana-538 310 23 through through ADP cana-538 310 24 a a DET cana-538 310 25 porous porous ADJ cana-538 310 26 stretching stretching NOUN cana-538 310 27 sheet sheet NOUN cana-538 310 28 , , PUNCT cana-538 310 29 results result NOUN cana-538 310 30 in in ADP cana-538 310 31 physics physics NOUN cana-538 310 32 21 21 NUM cana-538 310 33 ( ( PUNCT cana-538 310 34 2021 2021 NUM cana-538 310 35 ) ) PUNCT cana-538 310 36 103777 103777 NUM cana-538 310 37 https://doi.org/10.1016/j.rinp.2020.103777 https://doi.org/10.1016/j.rinp.2020.103777 PROPN cana-538 310 38 . . PUNCT cana-538 311 1 [ [ X cana-538 311 2 28 28 NUM cana-538 311 3 ] ] X cana-538 311 4 kaneez kaneez PROPN cana-538 311 5 h. h. PROPN cana-538 311 6 , , PUNCT cana-538 311 7 alebraheem alebraheem PROPN cana-538 311 8 j. j. PROPN cana-538 311 9 , , PUNCT cana-538 311 10 elmoasry elmoasry PROPN cana-538 311 11 a. a. PROPN cana-538 311 12 , , PUNCT cana-538 311 13 saif saif PROPN cana-538 311 14 r. r. PROPN cana-538 311 15 , , PUNCT cana-538 311 16 nawaz nawaz ADJ cana-538 311 17 m. m. NOUN cana-538 311 18 , , PUNCT cana-538 311 19 numerical numerical ADJ cana-538 311 20 investigation investigation NOUN cana-538 311 21 on on ADP cana-538 311 22 transport transport NOUN cana-538 311 23 of of ADP cana-538 311 24 momenta momenta NOUN cana-538 311 25 and and CCONJ cana-538 311 26 energy energy NOUN cana-538 311 27 in in ADP cana-538 311 28 micropolar micropolar ADJ cana-538 311 29 fluid fluid NOUN cana-538 311 30 suspended suspend VERB cana-538 311 31 with with ADP cana-538 311 32 dusty dusty NOUN cana-538 311 33 , , PUNCT cana-538 311 34 mono mono NOUN cana-538 311 35 and and CCONJ cana-538 311 36 hybrid hybrid ADJ cana-538 311 37 nano nano NOUN cana-538 311 38 - - PUNCT cana-538 311 39 structures structure NOUN cana-538 311 40 , , PUNCT cana-538 311 41 aip aip PROPN cana-538 311 42 advances advance VERB cana-538 311 43 10 10 NUM cana-538 311 44 , , PUNCT cana-538 311 45 045120 045120 NUM cana-538 311 46 ( ( PUNCT cana-538 311 47 2020 2020 NUM cana-538 311 48 ) ) PUNCT cana-538 311 49 ; ; PUNCT cana-538 311 50 doi doi NOUN cana-538 311 51 : : PUNCT cana-538 311 52 10.1063/5.0003042 10.1063/5.0003042 NUM cana-538 311 53 . . PUNCT cana-538 312 1 [ [ X cana-538 312 2 29 29 NUM cana-538 312 3 ] ] X cana-538 312 4 fourier fourier X cana-538 312 5 jbj jbj PROPN cana-538 312 6 , , PUNCT cana-538 312 7 theaΛ† theaΛ† PROPN cana-538 312 8 orie orie PROPN cana-538 312 9 analytique analytique PROPN cana-538 312 10 de de X cana-538 312 11 la la X cana-538 312 12 chaleur chaleur PROPN cana-538 312 13 . . PUNCT cana-538 313 1 paris paris PROPN cana-538 313 2 1822 1822 NUM cana-538 313 3 . . PUNCT cana-538 314 1 28 28 NUM cana-538 314 2 . . PUNCT cana-538 315 1 [ [ X cana-538 315 2 30 30 NUM cana-538 315 3 ] ] X cana-538 315 4 cattaneo cattaneo PROPN cana-538 315 5 c. c. PROPN cana-538 315 6 sulla sulla PROPN cana-538 315 7 conduzione conduzione PROPN cana-538 315 8 del del PROPN cana-538 315 9 calore calore PROPN cana-538 315 10 . . PUNCT cana-538 316 1 atti atti PROPN cana-538 316 2 semin semin PROPN cana-538 316 3 mat mat PROPN cana-538 316 4 fis fis PROPN cana-538 316 5 univ univ PROPN cana-538 316 6 modena modena PROPN cana-538 316 7 reggio reggio PROPN cana-538 316 8 emilia emilia PROPN cana-538 316 9 . . PROPN cana-538 316 10 3 3 NUM cana-538 316 11 ( ( PUNCT cana-538 316 12 1948 1948 NUM cana-538 316 13 ) ) PUNCT cana-538 316 14 83 83 NUM cana-538 316 15 - - SYM cana-538 316 16 101 101 NUM cana-538 316 17 . . PUNCT cana-538 317 1 [ [ X cana-538 317 2 31 31 NUM cana-538 317 3 ] ] X cana-538 317 4 christov christov PROPN cana-538 317 5 ci ci PROPN cana-538 317 6 . . PROPN cana-538 318 1 on on ADP cana-538 318 2 frame frame NOUN cana-538 318 3 indifferent indifferent ADJ cana-538 318 4 formulation formulation NOUN cana-538 318 5 of of ADP cana-538 318 6 the the DET cana-538 318 7 maxwell maxwell PROPN cana-538 318 8 - - PUNCT cana-538 318 9 cattaneo cattaneo PROPN cana-538 318 10 model model NOUN cana-538 318 11 of of ADP cana-538 318 12 finite finite ADJ cana-538 318 13 - - ADJ cana-538 318 14 speed speed ADJ cana-538 318 15 heat heat NOUN cana-538 318 16 conduction conduction NOUN cana-538 318 17 . . PUNCT cana-538 319 1 mech mech NOUN cana-538 319 2 res re NOUN cana-538 319 3 commun commun PROPN cana-538 319 4 . . PUNCT cana-538 320 1 36 36 NUM cana-538 320 2 ( ( PUNCT cana-538 320 3 2009 2009 NUM cana-538 320 4 ) ) PUNCT cana-538 320 5 481–486 481–486 NUM cana-538 320 6 . . PUNCT cana-538 321 1 https://doi.org/10.1016/j.mechrescom.2008.11.003 https://doi.org/10.1016/j.mechrescom.2008.11.003 NOUN cana-538 321 2 . . PUNCT cana-538 322 1 [ [ X cana-538 322 2 32 32 NUM cana-538 322 3 ] ] X cana-538 322 4 tassaddiq tassaddiq NOUN cana-538 322 5 a. a. NOUN cana-538 322 6 , , PUNCT cana-538 322 7 impact impact NOUN cana-538 322 8 of of ADP cana-538 322 9 cattaneo cattaneo ADJ cana-538 322 10 - - PUNCT cana-538 322 11 christov christov ADJ cana-538 322 12 heat heat NOUN cana-538 322 13 flux flux NOUN cana-538 322 14 model model NOUN cana-538 322 15 on on ADP cana-538 322 16 mhd mhd PROPN cana-538 322 17 hybrid hybrid ADJ cana-538 322 18 nano nano NOUN cana-538 322 19 - - PUNCT cana-538 322 20 micropolar micropolar ADJ cana-538 322 21 fluid fluid NOUN cana-538 322 22 flow flow NOUN cana-538 322 23 and and CCONJ cana-538 322 24 heat heat NOUN cana-538 322 25 transfer transfer NOUN cana-538 322 26 with with ADP cana-538 322 27 viscous viscous ADJ cana-538 322 28 and and CCONJ cana-538 322 29 joule joule NOUN cana-538 322 30 dissipation dissipation NOUN cana-538 322 31 effects effect NOUN cana-538 322 32 , , PUNCT cana-538 322 33 scien scien NOUN cana-538 322 34 . . PUNCT cana-538 323 1 repo repo PROPN cana-538 323 2 . . PUNCT cana-538 324 1 ( ( PUNCT cana-538 324 2 2021 2021 NUM cana-538 324 3 ) ) PUNCT cana-538 324 4 11:67 11:67 NUM cana-538 324 5 https://doi.org/10.1038/s41598-020-77419-x https://doi.org/10.1038/s41598-020-77419-x NOUN cana-538 324 6 . . PUNCT cana-538 325 1 [ [ X cana-538 325 2 33 33 NUM cana-538 325 3 ] ] PUNCT cana-538 325 4 siddiq siddiq PROPN cana-538 325 5 m. m. PROPN cana-538 325 6 , , PUNCT cana-538 325 7 ashraf ashraf PROPN cana-538 325 8 m. m. NOUN cana-538 325 9 , , PUNCT cana-538 325 10 bioconvection bioconvection NOUN cana-538 325 11 of of ADP cana-538 325 12 micropolar micropolar ADJ cana-538 325 13 nanofluid nanofluid NOUN cana-538 325 14 with with ADP cana-538 325 15 modified modify VERB cana-538 325 16 cattaneo cattaneo NOUN cana-538 325 17 – – PUNCT cana-538 325 18 christov christov NOUN cana-538 325 19 theories theory NOUN cana-538 325 20 , , PUNCT cana-538 325 21 adva adva PROPN cana-538 325 22 . . PUNCT cana-538 326 1 in in ADP cana-538 326 2 mech mech NOUN cana-538 326 3 . . PUNCT cana-538 327 1 engin engin PROPN cana-538 327 2 . . PUNCT cana-538 328 1 12(5 12(5 X cana-538 328 2 ) ) PUNCT cana-538 328 3 ( ( PUNCT cana-538 328 4 2020 2020 NUM cana-538 328 5 ) ) PUNCT cana-538 328 6 , , PUNCT cana-538 328 7 1–11 1–11 PROPN cana-538 328 8 doi doi PROPN cana-538 328 9 : : PUNCT cana-538 328 10 10.1177/1687814020925217 10.1177/1687814020925217 NUM cana-538 328 11 . . PUNCT cana-538 329 1 [ [ X cana-538 329 2 34 34 NUM cana-538 329 3 ] ] SYM cana-538 329 4 ramzan ramzan PROPN cana-538 329 5 m. m. PROPN cana-538 329 6 , , PUNCT cana-538 329 7 gul gul PROPN cana-538 329 8 h. h. PROPN cana-538 329 9 , , PUNCT cana-538 329 10 baleanu baleanu PROPN cana-538 329 11 d. d. PROPN cana-538 329 12 , , PUNCT cana-538 329 13 k. k. PROPN cana-538 329 14 nisar nisar PROPN cana-538 329 15 , , PUNCT cana-538 329 16 m. m. NOUN cana-538 329 17 malik malik PROPN cana-538 329 18 , , PUNCT cana-538 329 19 role role NOUN cana-538 329 20 of of ADP cana-538 329 21 cattaneo cattaneo NOUN cana-538 329 22 – – PUNCT cana-538 329 23 christov christov ADJ cana-538 329 24 heat heat NOUN cana-538 329 25 flux flux NOUN cana-538 329 26 in in ADP cana-538 329 27 an an DET cana-538 329 28 mhd mhd NOUN cana-538 329 29 micropolar micropolar ADJ cana-538 329 30 dusty dusty ADJ cana-538 329 31 nanofluid nanofluid ADJ cana-538 329 32 flow flow NOUN cana-538 329 33 with with ADP cana-538 329 34 zero zero NUM cana-538 329 35 mass mass NOUN cana-538 329 36 flux flux NOUN cana-538 329 37 condition condition NOUN cana-538 329 38 , , PUNCT cana-538 329 39 scie scie PROPN cana-538 329 40 . . PUNCT cana-538 330 1 repo repo PROPN cana-538 330 2 . . PUNCT cana-538 331 1 ( ( PUNCT cana-538 331 2 2021 2021 NUM cana-538 331 3 ) ) PUNCT cana-538 331 4 11:19528 11:19528 NUM cana-538 331 5 https://doi.org/10.1038/s41598-021-98988-5 https://doi.org/10.1038/s41598-021-98988-5 NUM cana-538 331 6 . . PUNCT cana-538 332 1 [ [ X cana-538 332 2 35 35 NUM cana-538 332 3 ] ] X cana-538 332 4 shankaralingappa shankaralingappa PROPN cana-538 332 5 b. b. PROPN cana-538 332 6 , , PUNCT cana-538 332 7 gireesha gireesha PROPN cana-538 332 8 b. b. PROPN cana-538 332 9 , , PUNCT cana-538 332 10 prasannakumara prasannakumara PROPN cana-538 332 11 b. b. PROPN cana-538 332 12 , , PUNCT cana-538 332 13 nagaraja nagaraja PROPN cana-538 332 14 b. b. PROPN cana-538 332 15 , , PUNCT cana-538 332 16 darcy darcy PROPN cana-538 332 17 - - PUNCT cana-538 332 18 forchheimer forchheimer PROPN cana-538 332 19 flow flow NOUN cana-538 332 20 of of ADP cana-538 332 21 dusty dusty ADJ cana-538 332 22 tangent tangent NOUN cana-538 332 23 hyperbolic hyperbolic ADJ cana-538 332 24 fluid fluid NOUN cana-538 332 25 over over ADP cana-538 332 26 a a DET cana-538 332 27 stretching stretch VERB cana-538 332 28 sheet sheet NOUN cana-538 332 29 with with ADP cana-538 332 30 cattaneo cattaneo ADJ cana-538 332 31 - - PUNCT cana-538 332 32 christov christov ADJ cana-538 332 33 heat heat NOUN cana-538 332 34 flux flux NOUN cana-538 332 35 , , PUNCT cana-538 332 36 wav wav PROPN cana-538 332 37 . . PROPN cana-538 332 38 in in ADP cana-538 332 39 rand rand NOUN cana-538 332 40 . . PUNCT cana-538 333 1 and and CCONJ cana-538 333 2 comp comp NOUN cana-538 333 3 . . PUNCT cana-538 334 1 med.2021 med.2021 NOUN cana-538 334 2 https://doi.org/10.1080/17455030.2021.1889711 https://doi.org/10.1080/17455030.2021.1889711 NOUN cana-538 334 3 . . PUNCT cana-538 335 1 [ [ X cana-538 335 2 36 36 NUM cana-538 335 3 ] ] X cana-538 335 4 upadhay upadhay PROPN cana-538 335 5 m.s m.s PROPN cana-538 335 6 . . PROPN cana-538 335 7 , , PUNCT cana-538 335 8 raju raju PROPN cana-538 335 9 m.c m.c PROPN cana-538 335 10 . . PROPN cana-538 335 11 , , PUNCT cana-538 335 12 cattaneo cattaneo PROPN cana-538 335 13 - - PUNCT cana-538 335 14 christov christov NOUN cana-538 335 15 on on ADP cana-538 335 16 heat heat NOUN cana-538 335 17 and and CCONJ cana-538 335 18 mass mass NOUN cana-538 335 19 transfer transfer NOUN cana-538 335 20 of of ADP cana-538 335 21 unsteady unsteady ADJ cana-538 335 22 eyring eyre VERB cana-538 335 23 powell powell PROPN cana-538 335 24 dusty dusty PROPN cana-538 335 25 nanofluid nanofluid PROPN cana-538 335 26 over over ADP cana-538 335 27 sheet sheet NOUN cana-538 335 28 with with ADP cana-538 335 29 heat heat NOUN cana-538 335 30 and and CCONJ cana-538 335 31 mass mass NOUN cana-538 335 32 flux flux NOUN cana-538 335 33 conditions condition NOUN cana-538 335 34 , , PUNCT cana-538 335 35 infor infor PROPN cana-538 335 36 . . PUNCT cana-538 336 1 in in ADP cana-538 336 2 medic medic NOUN cana-538 336 3 . . PUNCT cana-538 337 1 unlo unlo PROPN cana-538 337 2 . . PUNCT cana-538 338 1 9 9 NUM cana-538 338 2 ( ( PUNCT cana-538 338 3 2017 2017 NUM cana-538 338 4 ) ) PUNCT cana-538 338 5 76 76 NUM cana-538 338 6 85http://creativecommons.org/licenses/by-nc-nd/4.0/ 85http://creativecommons.org/licenses/by-nc-nd/4.0/ NUM cana-538 338 7 ) ) PUNCT cana-538 338 8 . . PUNCT cana-538 339 1 [ [ X cana-538 339 2 37 37 NUM cana-538 339 3 ] ] X cana-538 339 4 gailitis gailitis ADJ cana-538 339 5 a. a. NOUN cana-538 339 6 , , PUNCT cana-538 339 7 on on ADP cana-538 339 8 the the DET cana-538 339 9 possibility possibility NOUN cana-538 339 10 to to PART cana-538 339 11 reduce reduce VERB cana-538 339 12 the the DET cana-538 339 13 hydrodynamic hydrodynamic ADJ cana-538 339 14 drag drag NOUN cana-538 339 15 of of ADP cana-538 339 16 a a DET cana-538 339 17 plate plate NOUN cana-538 339 18 in in ADP cana-538 339 19 an an DET cana-538 339 20 electrolyte electrolyte NOUN cana-538 339 21 , , PUNCT cana-538 339 22 appl appl NOUN cana-538 339 23 . . PUNCT cana-538 339 24 magnetohydrodyn magnetohydrodyn PROPN cana-538 339 25 . . PUNCT cana-538 340 1 rep rep PROPN cana-538 340 2 . . PROPN cana-538 340 3 inst inst PROPN cana-538 340 4 . . PUNCT cana-538 341 1 phys phy NOUN cana-538 341 2 . . PUNCT cana-538 342 1 riga riga PROPN cana-538 342 2 1961 1961 NUM cana-538 342 3 , , PUNCT cana-538 342 4 13 13 NUM cana-538 342 5 , , PUNCT cana-538 342 6 143–146 143–146 NUM cana-538 342 7 . . PUNCT cana-538 343 1 [ [ X cana-538 343 2 38 38 NUM cana-538 343 3 ] ] PUNCT cana-538 343 4 ali ali PROPN cana-538 343 5 b. b. PROPN cana-538 343 6 , , PUNCT cana-538 343 7 devi devi PROPN cana-538 343 8 s. s. PROPN cana-538 343 9 , , PUNCT cana-538 343 10 hussein hussein PROPN cana-538 343 11 a. a. PROPN cana-538 343 12 , , PUNCT cana-538 343 13 hussain hussain PROPN cana-538 343 14 s. s. PROPN cana-538 343 15 , , PUNCT cana-538 343 16 naqvi naqvi PROPN cana-538 343 17 r. r. PROPN cana-538 343 18 , , PUNCT cana-538 343 19 transient transient ADJ cana-538 343 20 rotating rotate VERB cana-538 343 21 nanofluid nanofluid ADJ cana-538 343 22 flow flow NOUN cana-538 343 23 over over ADP cana-538 343 24 a a DET cana-538 343 25 riga riga ADJ cana-538 343 26 plate plate NOUN cana-538 343 27 with with ADP cana-538 343 28 gyrotactic gyrotactic ADJ cana-538 343 29 micro micro NOUN cana-538 343 30 - - NOUN cana-538 343 31 organisms organism NOUN cana-538 343 32 , , PUNCT cana-538 343 33 binary binary ADJ cana-538 343 34 chemical chemical NOUN cana-538 343 35 reaction reaction NOUN cana-538 343 36 and and CCONJ cana-538 343 37 non non ADJ cana-538 343 38 - - ADJ cana-538 343 39 fourier fourier ADJ cana-538 343 40 heat heat NOUN cana-538 343 41 flux flux NOUN cana-538 343 42 , , PUNCT cana-538 343 43 chin chin PROPN cana-538 343 44 . . PUNCT cana-538 344 1 j. j. PROPN cana-538 344 2 of of ADP cana-538 344 3 phys phys PROPN cana-538 344 4 . . PUNCT cana-538 345 1 73 73 NUM cana-538 345 2 ( ( PUNCT cana-538 345 3 2021 2021 NUM cana-538 345 4 ) ) PUNCT cana-538 346 1 732–745 732–745 NUM cana-538 346 2 https://doi.org/10.1016/j.cjph.2021.07.031 https://doi.org/10.1016/j.cjph.2021.07.031 NOUN cana-538 346 3 . . PUNCT cana-538 347 1 [ [ X cana-538 347 2 39 39 NUM cana-538 347 3 ] ] PUNCT cana-538 347 4 anjum anjum PROPN cana-538 347 5 a. a. PROPN cana-538 347 6 , , PUNCT cana-538 347 7 mir mir PROPN cana-538 347 8 n. n. PROPN cana-538 347 9 , , PUNCT cana-538 347 10 farooq farooq PROPN cana-538 347 11 m. m. PROPN cana-538 347 12 , , PUNCT cana-538 347 13 javed javed ADJ cana-538 347 14 m. m. NOUN cana-538 347 15 , , PUNCT cana-538 347 16 ahmad ahmad PROPN cana-538 347 17 s. s. PROPN cana-538 347 18 , , PUNCT cana-538 347 19 malik malik PROPN cana-538 347 20 m. m. NOUN cana-538 347 21 , , PUNCT cana-538 347 22 alshomrani alshomrani PROPN cana-538 347 23 a. a. NOUN cana-538 347 24 , , PUNCT cana-538 347 25 physical physical ADJ cana-538 347 26 aspects aspect NOUN cana-538 347 27 of of ADP cana-538 347 28 heat heat NOUN cana-538 347 29 generation generation NOUN cana-538 347 30 / / SYM cana-538 347 31 absorption absorption NOUN cana-538 347 32 in in ADP cana-538 347 33 the the DET cana-538 347 34 second second ADJ cana-538 347 35 grade grade NOUN cana-538 347 36 fluid fluid NOUN cana-538 347 37 flow flow NOUN cana-538 347 38 due due ADJ cana-538 347 39 to to ADP cana-538 347 40 riga riga ADJ cana-538 347 41 plate plate NOUN cana-538 347 42 : : PUNCT cana-538 347 43 application application NOUN cana-538 347 44 of of ADP cana-538 347 45 cattaneo cattaneo NOUN cana-538 347 46 - - PUNCT cana-538 347 47 christov christov PROPN cana-538 347 48 approach approach NOUN cana-538 347 49 , , PUNCT cana-538 347 50 resu resu PROPN cana-538 347 51 . . PUNCT cana-538 348 1 in in ADP cana-538 348 2 phys phy NOUN cana-538 348 3 . . PUNCT cana-538 349 1 9(2018 9(2018 NUM cana-538 349 2 ) ) PUNCT cana-538 349 3 955 955 NUM cana-538 349 4 - - SYM cana-538 349 5 960 960 NUM cana-538 349 6 https://doi.org/10.1016/j.rinp.2018.03.024 https://doi.org/10.1016/j.rinp.2018.03.024 NUM cana-538 349 7 . . PUNCT cana-538 350 1 [ [ X cana-538 350 2 40 40 NUM cana-538 350 3 ] ] PUNCT cana-538 350 4 alotaibi alotaibi NOUN cana-538 350 5 h. h. PROPN cana-538 350 6 , , PUNCT cana-538 350 7 rafique rafique PROPN cana-538 350 8 kh kh PROPN cana-538 350 9 . . PROPN cana-538 350 10 , , PUNCT cana-538 350 11 numerical numerical ADJ cana-538 350 12 analysis analysis NOUN cana-538 350 13 of of ADP cana-538 350 14 micro micro ADJ cana-538 350 15 - - ADJ cana-538 350 16 rotation rotation ADJ cana-538 350 17 effect effect NOUN cana-538 350 18 on on ADP cana-538 350 19 nanofluid nanofluid ADJ cana-538 350 20 flow flow NOUN cana-538 350 21 for for ADP cana-538 350 22 vertical vertical ADJ cana-538 350 23 riga riga PROPN cana-538 350 24 plate plate NOUN cana-538 350 25 , , PUNCT cana-538 350 26 cryst.(2021 cryst.(2021 NOUN cana-538 350 27 ) ) PUNCT cana-538 350 28 , , PUNCT cana-538 350 29 11 11 NUM cana-538 350 30 , , PUNCT cana-538 350 31 1315 1315 NUM cana-538 350 32 . . PUNCT cana-538 351 1 https://doi.org/10.3390/cryst11111315 https://doi.org/10.3390/cryst11111315 PROPN cana-538 351 2 . . PUNCT cana-538 352 1 [ [ X cana-538 352 2 41 41 NUM cana-538 352 3 ] ] X cana-538 352 4 abbas abbas PROPN cana-538 352 5 n. n. PROPN cana-538 352 6 , , PUNCT cana-538 352 7 nadeem nadeem PROPN cana-538 352 8 s. s. PROPN cana-538 352 9 , , PUNCT cana-538 352 10 malik malik PROPN cana-538 352 11 m. m. PROPN cana-538 352 12 , , PUNCT cana-538 352 13 theoretical theoretical ADJ cana-538 352 14 study study NOUN cana-538 352 15 of of ADP cana-538 352 16 micropolar micropolar ADJ cana-538 352 17 hybrid hybrid ADJ cana-538 352 18 nanofluid nanofluid NOUN cana-538 352 19 over over ADP cana-538 352 20 riga riga PROPN cana-538 352 21 channel channel NOUN cana-538 352 22 with with ADP cana-538 352 23 slip slip NOUN cana-538 352 24 conditions condition NOUN cana-538 352 25 , , PUNCT cana-538 352 26 phys phy NOUN cana-538 352 27 . . PUNCT cana-538 353 1 a a DET cana-538 353 2 551 551 NUM cana-538 353 3 ( ( PUNCT cana-538 353 4 2020 2020 NUM cana-538 353 5 ) ) PUNCT cana-538 353 6 124083 124083 NUM cana-538 353 7 https://doi.org/10.1016/j.physa.2019.124083 https://doi.org/10.1016/j.physa.2019.124083 NOUN cana-538 353 8 . . PUNCT cana-538 354 1 [ [ X cana-538 354 2 42 42 NUM cana-538 354 3 ] ] X cana-538 354 4 nadeem nadeem PROPN cana-538 354 5 s. s. PROPN cana-538 354 6 , , PUNCT cana-538 354 7 amin amin PROPN cana-538 354 8 a. a. PROPN cana-538 354 9 , , PUNCT cana-538 354 10 abbas abbas PROPN cana-538 354 11 n. n. PROPN cana-538 354 12 , , PUNCT cana-538 354 13 saleem saleem PROPN cana-538 354 14 a. a. PROPN cana-538 354 15 , , PUNCT cana-538 354 16 alharbi alharbi PROPN cana-538 354 17 f. f. PROPN cana-538 354 18 , , PUNCT cana-538 354 19 hussain hussain PROPN cana-538 354 20 a. a. PROPN cana-538 354 21 , , PUNCT cana-538 354 22 issakhov issakhov NOUN cana-538 354 23 a. a. NOUN cana-538 354 24 , , PUNCT cana-538 354 25 stagnation stagnation NOUN cana-538 354 26 point point NOUN cana-538 354 27 flow flow NOUN cana-538 354 28 of of ADP cana-538 354 29 micropolar micropolar ADJ cana-538 354 30 maxwell maxwell PROPN cana-538 354 31 fluid fluid NOUN cana-538 354 32 over over ADP cana-538 354 33 riga riga ADJ cana-538 354 34 plate plate NOUN cana-538 354 35 under under ADP cana-538 354 36 the the DET cana-538 354 37 influence influence NOUN cana-538 354 38 of of ADP cana-538 354 39 heat heat NOUN cana-538 354 40 and and CCONJ cana-538 354 41 mass mass NOUN cana-538 354 42 transfer transfer NOUN cana-538 354 43 . . PUNCT cana-538 355 1 communications communication NOUN cana-538 355 2 on on ADP cana-538 355 3 applied apply VERB cana-538 355 4 nonlinear nonlinear ADJ cana-538 355 5 analysis analysis NOUN cana-538 355 6 issn issn NOUN cana-538 355 7 : : PUNCT cana-538 355 8 1074 1074 NUM cana-538 355 9 - - PUNCT cana-538 355 10 133x 133x NUM cana-538 355 11 vol vol NOUN cana-538 355 12 31 31 NUM cana-538 355 13 no no NOUN cana-538 355 14 . . NOUN cana-538 355 15 2 2 NUM cana-538 355 16 ( ( PUNCT cana-538 355 17 2024 2024 NUM cana-538 355 18 ) ) PUNCT cana-538 355 19 239 239 NUM cana-538 355 20 https://internationalpubls.com https://internationalpubls.com X cana-538 356 1 [ [ X cana-538 356 2 43 43 NUM cana-538 356 3 ] ] X cana-538 356 4 islam islam PROPN cana-538 356 5 md md PROPN cana-538 356 6 . . PROPN cana-538 356 7 , , PUNCT cana-538 356 8 nasrin nasrin PROPN cana-538 356 9 s. s. PROPN cana-538 356 10 , , PUNCT cana-538 356 11 micropolar micropolar ADJ cana-538 356 12 fluid fluid ADJ cana-538 356 13 flow flow NOUN cana-538 356 14 along along ADP cana-538 356 15 with with ADP cana-538 356 16 an an DET cana-538 356 17 inclined inclined ADJ cana-538 356 18 riga riga ADJ cana-538 356 19 plate plate NOUN cana-538 356 20 through through ADP cana-538 356 21 a a DET cana-538 356 22 porous porous ADJ cana-538 356 23 medium medium NOUN cana-538 356 24 , , PUNCT cana-538 356 25 inter inter PROPN cana-538 356 26 . . PUNCT cana-538 357 1 j. j. PROPN cana-538 357 2 of of ADP cana-538 357 3 heat heat NOUN cana-538 357 4 and and CCONJ cana-538 357 5 tech tech NOUN cana-538 357 6 . . PUNCT cana-538 358 1 39 39 NUM cana-538 358 2 ( ( PUNCT cana-538 358 3 4)(2021 4)(2021 NUM cana-538 358 4 ) ) PUNCT cana-538 358 5 1123 1123 NUM cana-538 358 6 - - SYM cana-538 358 7 1133 1133 NUM cana-538 358 8 . . PUNCT cana-538 359 1 [ [ X cana-538 359 2 44 44 NUM cana-538 359 3 ] ] PUNCT cana-538 359 4 alshehri alshehri PROPN cana-538 359 5 a. a. PROPN cana-538 359 6 , , PUNCT cana-538 359 7 coban coban PROPN cana-538 359 8 h. h. PROPN cana-538 359 9 , , PUNCT cana-538 359 10 ahmad ahmad PROPN cana-538 359 11 sh sh PROPN cana-538 359 12 . . PROPN cana-538 359 13 , , PUNCT cana-538 359 14 khan khan PROPN cana-538 359 15 u. u. PROPN cana-538 359 16 , , PUNCT cana-538 359 17 alghamdi alghamdi PROPN cana-538 359 18 w. w. PROPN cana-538 359 19 , , PUNCT cana-538 359 20 buoyancy buoyancy ADJ cana-538 359 21 effect effect NOUN cana-538 359 22 on on ADP cana-538 359 23 a a DET cana-538 359 24 micropolar micropolar ADJ cana-538 359 25 fluid fluid NOUN cana-538 359 26 flow flow NOUN cana-538 359 27 past past ADP cana-538 359 28 a a DET cana-538 359 29 vertical vertical ADJ cana-538 359 30 riga riga PROPN cana-538 359 31 surface surface NOUN cana-538 359 32 comprising comprise VERB cana-538 359 33 water water NOUN cana-538 359 34 - - PUNCT cana-538 359 35 based base VERB cana-538 359 36 swcnt swcnt ADP cana-538 359 37 – – PUNCT cana-538 359 38 mwcnt mwcnt ADJ cana-538 359 39 hybrid hybrid ADJ cana-538 359 40 nanofluid nanofluid ADJ cana-538 359 41 subject subject NOUN cana-538 359 42 to to ADP cana-538 359 43 partially partially ADV cana-538 359 44 slipped slip VERB cana-538 359 45 and and CCONJ cana-538 359 46 thermal thermal ADJ cana-538 359 47 stratification stratification NOUN cana-538 359 48 : : PUNCT cana-538 359 49 cattaneo cattaneo PROPN cana-538 359 50 – – PUNCT cana-538 359 51 christov christov NOUN cana-538 359 52 model model NOUN cana-538 359 53 , , PUNCT cana-538 359 54 math math NOUN cana-538 359 55 . . PUNCT cana-538 360 1 prob prob PROPN cana-538 360 2 . . PUNCT cana-538 361 1 in in ADP cana-538 361 2 engin engin PROPN cana-538 361 3 . . PUNCT cana-538 362 1 volu volu PROPN cana-538 362 2 . . PUNCT cana-538 363 1 ( ( PUNCT cana-538 363 2 2021 2021 NUM cana-538 363 3 ) ) PUNCT cana-538 363 4 https://doi.org/10.1155/2021/6618395 https://doi.org/10.1155/2021/6618395 PROPN cana-538 363 5 . . PUNCT cana-538 364 1 [ [ X cana-538 364 2 45 45 NUM cana-538 364 3 ] ] PUNCT cana-538 364 4 ahmed ahmed PROPN cana-538 364 5 n. n. PROPN cana-538 364 6 , , PUNCT cana-538 364 7 saba saba PROPN cana-538 364 8 f. f. PROPN cana-538 364 9 , , PUNCT cana-538 364 10 khan khan PROPN cana-538 364 11 u. u. PROPN cana-538 364 12 , , PUNCT cana-538 364 13 khan khan PROPN cana-538 364 14 i. i. PROPN cana-538 364 15 , , PUNCT cana-538 364 16 alkanhal alkanhal NOUN cana-538 364 17 t. t. PROPN cana-538 364 18 , , PUNCT cana-538 364 19 faisal faisal PROPN cana-538 364 20 i. i. PROPN cana-538 364 21 , , PUNCT cana-538 364 22 mohyud mohyud NOUN cana-538 364 23 - - PUNCT cana-538 364 24 din din NOUN cana-538 364 25 s. s. PROPN cana-538 364 26 , , PUNCT cana-538 364 27 spherical spherical ADJ cana-538 364 28 shaped shape VERB cana-538 364 29 ( ( PUNCT cana-538 364 30 ag ag PROPN cana-538 364 31 βˆ’ βˆ’ NOUN cana-538 364 32 fe3o4 fe3o4 PROPN cana-538 364 33 / / SYM cana-538 364 34 h2o h2o PROPN cana-538 364 35 ) ) PUNCT cana-538 364 36 hybrid hybrid ADJ cana-538 364 37 nanofluid nanofluid ADJ cana-538 364 38 flow flow NOUN cana-538 364 39 squeezed squeeze VERB cana-538 364 40 between between ADP cana-538 364 41 two two NUM cana-538 364 42 riga riga ADJ cana-538 364 43 plates plate NOUN cana-538 364 44 with with ADP cana-538 364 45 nonlinear nonlinear ADJ cana-538 364 46 thermal thermal ADJ cana-538 364 47 radiation radiation NOUN cana-538 364 48 and and CCONJ cana-538 364 49 chemical chemical NOUN cana-538 364 50 reaction reaction NOUN cana-538 364 51 effects effect NOUN cana-538 364 52 , , PUNCT cana-538 364 53 energies energy NOUN cana-538 364 54 2019 2019 NUM cana-538 364 55 , , PUNCT cana-538 364 56 12 12 NUM cana-538 364 57 , , PUNCT cana-538 364 58 76 76 NUM cana-538 364 59 ; ; PUNCT cana-538 364 60 doi:10.3390 doi:10.3390 NOUN cana-538 364 61 / / SYM cana-538 364 62 en12010076 en12010076 NOUN cana-538 364 63 . . PUNCT cana-538 365 1 [ [ X cana-538 365 2 46 46 NUM cana-538 365 3 ] ] X cana-538 365 4 li li PROPN cana-538 365 5 y. y. PROPN cana-538 365 6 , , PUNCT cana-538 365 7 shahb shahb PROPN cana-538 365 8 f. f. PROPN cana-538 365 9 , , PUNCT cana-538 365 10 khanc khanc VERB cana-538 365 11 m. m. NOUN cana-538 365 12 , , PUNCT cana-538 365 13 chinramd chinramd ADJ cana-538 365 14 r. r. PROPN cana-538 365 15 , , PUNCT cana-538 365 16 elmasrye elmasrye PROPN cana-538 365 17 y. y. PROPN cana-538 365 18 , , PUNCT cana-538 365 19 sun sun PROPN cana-538 365 20 t. t. PROPN cana-538 365 21 , , PUNCT cana-538 365 22 dynamics dynamic NOUN cana-538 365 23 of of ADP cana-538 365 24 cattaneo cattaneo ADJ cana-538 365 25 - - PUNCT cana-538 365 26 christov christov ADJ cana-538 365 27 double double ADJ cana-538 365 28 diffusion diffusion NOUN cana-538 365 29 ( ( PUNCT cana-538 365 30 ccdd ccdd PROPN cana-538 365 31 ) ) PUNCT cana-538 365 32 and and CCONJ cana-538 365 33 arrhenius arrhenius NOUN cana-538 365 34 activation activation NOUN cana-538 365 35 law law NOUN cana-538 365 36 on on ADP cana-538 365 37 mixed mixed ADJ cana-538 365 38 convective convective ADJ cana-538 365 39 flow flow NOUN cana-538 365 40 towards towards ADP cana-538 365 41 a a DET cana-538 365 42 stretched stretch VERB cana-538 365 43 riga riga ADJ cana-538 365 44 device device NOUN cana-538 365 45 , , PUNCT cana-538 365 46 chaos chaos NOUN cana-538 365 47 , , PUNCT cana-538 365 48 solitons soliton NOUN cana-538 365 49 and and CCONJ cana-538 365 50 fractals fractal NOUN cana-538 365 51 148 148 NUM cana-538 365 52 ( ( PUNCT cana-538 365 53 2021 2021 NUM cana-538 365 54 ) ) PUNCT cana-538 365 55 111010 111010 NUM cana-538 365 56 https://doi.org/10.1016/j.chaos.2021.111010 https://doi.org/10.1016/j.chaos.2021.111010 NOUN cana-538 365 57 . . PUNCT cana-538 366 1 [ [ X cana-538 366 2 47 47 NUM cana-538 366 3 ] ] PUNCT cana-538 366 4 a. a. NOUN cana-538 366 5 mahdy mahdy NOUN cana-538 366 6 , , PUNCT cana-538 366 7 unsteady unsteady ADJ cana-538 366 8 mixed mixed ADJ cana-538 366 9 convection convection NOUN cana-538 366 10 boundary boundary ADJ cana-538 366 11 layer layer NOUN cana-538 366 12 flow flow NOUN cana-538 366 13 and and CCONJ cana-538 366 14 heat heat NOUN cana-538 366 15 transfer transfer NOUN cana-538 366 16 of of ADP cana-538 366 17 nanofluids nanofluid NOUN cana-538 366 18 due due ADP cana-538 366 19 to to ADP cana-538 366 20 stretching stretch VERB cana-538 366 21 sheet sheet NOUN cana-538 366 22 , , PUNCT cana-538 366 23 nucl nucl PROPN cana-538 366 24 . . PUNCT cana-538 367 1 eng eng PROPN cana-538 367 2 . . PUNCT cana-538 368 1 des des PROPN cana-538 368 2 . . PROPN cana-538 368 3 , , PUNCT cana-538 368 4 2012 2012 NUM cana-538 368 5 , , PUNCT cana-538 368 6 249 249 NUM cana-538 368 7 , , PUNCT cana-538 368 8 248 248 NUM cana-538 368 9 - - SYM cana-538 368 10 255 255 NUM cana-538 368 11 . . PUNCT cana-538 369 1 [ [ X cana-538 369 2 48 48 NUM cana-538 369 3 ] ] PUNCT cana-538 369 4 s. s. PROPN cana-538 369 5 das das PROPN cana-538 369 6 , , PUNCT cana-538 369 7 s. s. PROPN cana-538 369 8 chakraborty chakraborty PROPN cana-538 369 9 , , PUNCT cana-538 369 10 r. r. PROPN cana-538 369 11 n. n. PROPN cana-538 369 12 jana jana PROPN cana-538 369 13 and and CCONJ cana-538 369 14 o. o. PROPN cana-538 369 15 d. d. PROPN cana-538 369 16 makinde makinde PROPN cana-538 369 17 , , PUNCT cana-538 369 18 entropy entropy VERB cana-538 369 19 analysis analysis NOUN cana-538 369 20 of of ADP cana-538 369 21 unsteady unsteady ADJ cana-538 369 22 magneto magneto ADJ cana-538 369 23 - - PUNCT cana-538 369 24 nanofluid nanofluid NOUN cana-538 369 25 flow flow NOUN cana-538 369 26 past past ADP cana-538 369 27 accelerating accelerate VERB cana-538 369 28 stretching stretch VERB cana-538 369 29 sheet sheet NOUN cana-538 369 30 with with ADP cana-538 369 31 convective convective ADJ cana-538 369 32 boundary boundary ADJ cana-538 369 33 condition condition NOUN cana-538 369 34 , , PUNCT cana-538 369 35 appl appl PROPN cana-538 369 36 . . PROPN cana-538 369 37 math math PROPN cana-538 369 38 . . PUNCT cana-538 370 1 mech mech PROPN cana-538 370 2 . . PUNCT cana-538 371 1 -engl -engl PROPN cana-538 371 2 . . PUNCT cana-538 372 1 ed ed NOUN cana-538 372 2 . . PROPN cana-538 372 3 , , PUNCT cana-538 372 4 2015 2015 NUM cana-538 372 5 , , PUNCT cana-538 372 6 36(12 36(12 NUM cana-538 372 7 ) ) PUNCT cana-538 372 8 , , PUNCT cana-538 372 9 1593 1593 NUM cana-538 372 10 - - SYM cana-538 372 11 1610 1610 NUM cana-538 372 12 . . PUNCT