Computational and Experimental Study of the Effect of Operating Parameters on Classification Performance of Compound Hydrocyclone

<table class="fixed-width table-group" id="tab1"><tr><td><table class="table"><colgroup><col style="width:10.91em"/><col style="width:4.65em"/><col style="width:4.09em"/></colgroup><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Parameters</td><td class="align_center">Symbols</td><td class="align_center">Value</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">Inlet diameter</td><td class="align_center"><span style="width: 13.2864ptpx;"><svg height="11.9218pt" id="M26" style="vertical-align:-3.181499pt" version="1.1" viewbox="-0.0498162 -8.7403 13.2864 11.9218" width="13.2864pt" 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="M41 650V615C111 608 121 602 121 516V134C121 48 111 42 32 35V0H289C413 0 518 27 592 83C668 141 717 229 717 351C717 446 678 517 628 564C564 625 467 650 341 650H41ZM255 540C255 569 257 586 265 595C272 602 292 609 328 609C397 609 450 589 491 547C537 502 566 426 566 331C566 152 474 43 340 43C270 43 255 68 255 140V540Z" id="g13-66"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"><path d="M151 515C194 515 227 548 227 587C227 629 194 661 152 661C112 661 77 629 77 587C77 548 112 515 151 515ZM290 0V39C230 46 226 52 226 120V457C172 442 105 428 38 421V386C88 379 95 376 95 309V120C95 49 89 45 31 39V0H290Z" id="g22-103"></path></g></svg></span></td><td class="align_center">14 mm</td></tr><tr><td class="align_left">Vortex finder diameter</td><td class="align_center"><span style="width: 15.3872ptpx;"><svg height="11.9629pt" id="M27" style="vertical-align:-3.2226pt" version="1.1" viewbox="-0.0498162 -8.7403 15.3872 11.9629" width="15.3872pt" 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="M41 650V615C111 608 121 602 121 516V134C121 48 111 42 32 35V0H289C413 0 518 27 592 83C668 141 717 229 717 351C717 446 678 517 628 564C564 625 467 650 341 650H41ZM255 540C255 569 257 586 265 595C272 602 292 609 328 609C397 609 450 589 491 547C537 502 566 426 566 331C566 152 474 43 340 43C270 43 255 68 255 140V540Z" id="g13-66"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"><path d="M272 457C159 457 30 375 30 212C30 102 108 -12 267 -12C385 -12 502 68 502 231C502 352 413 457 272 457ZM257 414C321 414 356 338 356 200C356 56 316 32 278 32C216 32 176 127 176 249C176 361 217 414 257 414Z" id="g22-109"></path></g></svg></span></td><td class="align_center">20 mm</td></tr><tr><td class="align_left">Apex diameter</td><td class="align_center"><span style="width: 15.6978ptpx;"><svg height="11.9629pt" id="M28" style="vertical-align:-3.2226pt" version="1.1" viewbox="-0.0498162 -8.7403 15.6978 11.9629" width="15.6978pt" 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="M41 650V615C111 608 121 602 121 516V134C121 48 111 42 32 35V0H289C413 0 518 27 592 83C668 141 717 229 717 351C717 446 678 517 628 564C564 625 467 650 341 650H41ZM255 540C255 569 257 586 265 595C272 602 292 609 328 609C397 609 450 589 491 547C537 502 566 426 566 331C566 152 474 43 340 43C270 43 255 68 255 140V540Z" id="g13-66"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.893,3.132)"><path d="M552 61L529 62C493 65 488 75 488 128V452C464 448 430 444 395 441C359 438 322 435 292 434V400L325 393C352 388 357 381 357 335V98C334 75 312 69 285 69C250 69 216 92 216 156V300C216 355 216 409 219 452C191 448 155 444 120 441C86 438 54 435 28 434V400L53 393C79 386 85 381 85 336V133C85 42 133 -12 218 -12C250 -12 278 0 307 18C329 31 339 41 357 54V-5L366 -12C396 -5 429 2 461 8C495 15 523 20 552 24V61Z" id="g22-115"></path></g></svg></span></td><td class="align_center">10 mm</td></tr><tr><td class="align_left">Cylindrical diameter</td><td class="align_center"><span style="width: 10.0297ptpx;"><svg height="8.79011pt" id="M29" style="vertical-align:-0.04980946pt" version="1.1" viewbox="-0.0498162 -8.7403 10.0297 8.79011" width="10.0297pt" 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="M41 650V615C111 608 121 602 121 516V134C121 48 111 42 32 35V0H289C413 0 518 27 592 83C668 141 717 229 717 351C717 446 678 517 628 564C564 625 467 650 341 650H41ZM255 540C255 569 257 586 265 595C272 602 292 609 328 609C397 609 450 589 491 547C537 502 566 426 566 331C566 152 474 43 340 43C270 43 255 68 255 140V540Z" id="g13-66"></path></g></svg></span></td><td class="align_center">75 mm</td></tr><tr><td class="align_left">Rotating blade diameter</td><td class="align_center"><span style="width: 7.23729ptpx;"><svg height="9.44254pt" id="M30" style="vertical-align:-0.2324905pt" version="1.1" viewbox="-0.0498162 -9.21005 7.23729 9.44254" width="7.23729pt" 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="M541 58L519 60C477 65 472 69 472 126V703C421 688 341 674 277 667V636C338 628 344 624 344 570V449C322 452 311 454 303 454C147 454 29 343 29 207C29 58 147 -12 233 -12C244 -12 259 -9 283 6L344 45V-13C423 10 517 22 541 26V58ZM344 80C322 66 307 64 289 64C243 64 171 111 171 234C171 386 248 412 271 412C301 412 328 395 344 360V80Z" id="g13-98"></path></g></svg></span></td><td class="align_center">65 mm</td></tr><tr><td class="align_left">Cylindrical length</td><td class="align_center"><span style="width: 7.2895ptpx;"><svg height="8.79011pt" id="M31" style="vertical-align:-0.04980946pt" version="1.1" viewbox="-0.0498162 -8.7403 7.2895 8.79011" width="7.2895pt" 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="M512 180C494 129 475 97 457 77C433 50 397 43 354 43C323 43 297 45 279 52C259 61 255 78 255 125V516C255 602 264 608 340 615V650H35V615C111 608 121 602 121 516V133C121 48 111 42 24 35V0H511C519 27 540 126 548 169L512 180Z" id="g13-74"></path></g></svg></span></td><td class="align_center">40 mm</td></tr><tr><td class="align_left">Rotating blade length</td><td class="align_center"><span style="width: 3.72719ptpx;"><svg height="9.25986pt" id="M32" style="vertical-align:-0.04981041pt" version="1.1" viewbox="-0.0498162 -9.21005 3.72719 9.25986" width="3.72719pt" 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="M270 0V32C208 38 203 43 203 110V703C146 688 72 674 15 667V637C70 630 75 628 75 567V110C75 45 70 41 10 32V0H270Z" id="g13-106"></path></g></svg></span></td><td class="align_center">55 mm</td></tr><tr><td class="align_left">Cone angle</td><td class="align_center"><span style="width: 6.79362ptpx;"><svg height="9.49471pt" id="M33" style="vertical-align:-0.1933298pt" version="1.1" viewbox="-0.0498162 -9.30138 6.79362 9.49471" width="6.79362pt" 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="M492 495C492 605 449 703 334 703C135 703 21 416 21 218C21 107 47 -12 184 -12C394 -12 492 307 492 495ZM367 550C367 493 360 437 353 395H170C197 528 252 661 315 661C364 661 367 588 367 550ZM344 339C323 195 267 30 198 30C160 30 147 91 147 162C147 223 150 293 159 339H344Z" id="g5-230"></path></g></svg></span></td><td class="align_center">6°</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Structure parameters of hydrocyclone.</div>

Mathematical Problems in Engineering

tab1

Table 1

Table 1: Computational and Experimental Study of the Effect of Operating Parameters on Classification Performance of Compound Hydrocyclone 