Accelerating Flow of Carbon Nanotubes with Carboxymethyl Cellulose and Blood Base Materials with Comparative Thermal Features: Prabhakar Fractional Model

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2"><span style="width: 5.94546ptpx;"><svg height="12.2089pt" id="M143" style="vertical-align:-2.503pt" version="1.1" viewbox="-0.0498162 -9.7059 5.94546 12.2089" width="5.94546pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M425 682C425 693 422 699 407 699C369 699 308 677 260 646C213 651 191 674 191 701C191 715 195 726 200 734L183 740C153 730 118 709 118 681C118 644 163 619 218 615C168 582 115 534 115 463C115 418 147 382 180 369C102 329 23 261 23 163C23 74 74 38 158 14C183 7 201 2 221 -2C279 -15 290 -33 290 -58C290 -94 251 -145 230 -169L252 -189C280 -171 367 -103 367 -25C367 20 333 51 266 68C245 73 218 80 191 89C139 106 107 135 107 192C107 261 161 329 221 355C248 350 281 347 314 347C330 347 370 388 370 406C370 418 366 422 352 422C321 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443 207 271S149 -59 48 -142L70 -169C220 -67 283 90 283 271Z"></path></g></svg> by Tzou’s</td><td class="align_center"><svg height="10.8962pt" id="M147" style="vertical-align:-4.93529pt" version="1.1" viewbox="-0.0498162 -5.96091 23.6196 10.8962" width="23.6196pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M515 96L502 119C471 88 431 62 423 62C416 62 411 70 417 101C440 223 469 341 497 448H486L412 422L380 277C330 188 210 57 152 57C137 57 126 69 139 124L195 366C210 431 205 448 182 448C155 448 89 413 23 350L36 326C73 354 103 376 112 376C118 376 118 365 113 340L61 118C54 90 52 68 52 51C52 0 75 -12 98 -12S151 -3 181 17C242 58 305 119 362 193H364L345 104C323 3 339 -12 359 -12C390 -12 464 35 515 96Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.929,3.132)"><path d="M309 -142C211 -61 151 99 151 271S210 601 309 683L288 710C141 611 75 451 75 272V271C75 90 141 -72 288 -169L309 -142Z"></path></g><g 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-12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,25.568,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.532,0)"><path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z"></path></g></svg></span></td><td class="align_center"><span style="width: 34.9745ptpx;"><svg height="8.55521pt" id="M151" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 34.9745 8.55521" width="34.9745pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g 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602Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">0.1</td><td class="align_center">1.3577</td><td class="align_center">2.8595</td><td class="align_center">1.3637</td><td class="align_center">2.8748</td></tr><tr><td class="align_left">0.3</td><td class="align_center">1.4143</td><td class="align_center">3.2507</td><td class="align_center">1.4217</td><td class="align_center">3.2694</td></tr><tr><td class="align_left">0.5</td><td class="align_center">1.4125</td><td class="align_center">3.4344</td><td class="align_center">1.4207</td><td class="align_center">3.4549</td></tr><tr><td class="align_left">0.7</td><td class="align_center">1.3706</td><td class="align_center">3.4687</td><td class="align_center">1.3739</td><td class="align_center">3.4900</td></tr><tr><td class="align_left">0.9</td><td class="align_center">1.3025</td><td class="align_center">3.3982</td><td class="align_center">1.3110</td><td class="align_center">3.4195</td></tr><tr><td class="align_left">1.1</td><td class="align_center">1.2184</td><td class="align_center">3.2569</td><td class="align_center">1.2266</td><td class="align_center">3.2776</td></tr><tr><td class="align_left">1.3</td><td class="align_center">1.1256</td><td class="align_center">3.0702</td><td class="align_center">1.1334</td><td class="align_center">3.0900</td></tr><tr><td class="align_left">1.5</td><td class="align_center">1.0296</td><td class="align_center">2.8570</td><td class="align_center">1.0369</td><td class="align_center">2.8756</td></tr><tr><td class="align_left">1.7</td><td class="align_center">0.9341</td><td class="align_center">2.6312</td><td class="align_center">0.9409</td><td class="align_center">2.6485</td></tr><tr><td class="align_left">1.9</td><td class="align_center">0.8418</td><td class="align_center">2.4027</td><td class="align_center">0.8480</td><td class="align_center">2.4186</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Numerical variation of the velocity profile at different times for different numerical schemes.</div>

Mathematical Problems in Engineering

tab5

Table 5

Table 5: Accelerating Flow of Carbon Nanotubes with Carboxymethyl Cellulose and Blood Base Materials with Comparative Thermal Features: Prabhakar Fractional Model 

Table 5 | Accelerating Flow of Carbon Nanotubes with Carboxymethyl Cellulose and Blood Base Materials with Comparative Thermal Features: Prabhakar Fractional Model 