Study on Flow Characteristics in Volute of Centrifugal Pump Based on Dynamic Mode Decomposition

<table class="fixed-width table-group" id="tab1"><tr><td><table class="table"><colgroup><col style="width:14.32em"/><col style="width:6.45em"/></colgroup><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">Design parameter</td><td class="align_center">Design value</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left">Nominal flow rate <svg height="11.9316pt" id="M1" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 14.8679 11.9316" width="14.8679pt" 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="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.321,3.132)"><path d="M526 56L493 58C457 61 448 68 448 119V710C411 697 344 682 288 675V646C362 641 367 639 367 573V439C344 448 315 451 300 451C164 451 40 342 40 202C40 61 147 -12 227 -12C239 -12 266 -7 305 16L367 53V-12C427 10 505 21 526 26V56ZM367 88C342 69 306 54 271 54C207 54 133 111 133 229C133 373 219 409 264 409C301 409 342 394 367 359V88Z"></path></g></svg></td><td class="align_center">750m<sup>3</sup>/h</td></tr><tr><td class="align_left">Rated head <svg height="11.9316pt" id="M2" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 15.6247 11.9316" width="15.6247pt" 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="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.075,3.132)"><path d="M526 56L493 58C457 61 448 68 448 119V710C411 697 344 682 288 675V646C362 641 367 639 367 573V439C344 448 315 451 300 451C164 451 40 342 40 202C40 61 147 -12 227 -12C239 -12 266 -7 305 16L367 53V-12C427 10 505 21 526 26V56ZM367 88C342 69 306 54 271 54C207 54 133 111 133 229C133 373 219 409 264 409C301 409 342 394 367 359V88Z"></path></g></svg></td><td class="align_center">36m</td></tr><tr><td class="align_left">Rated rotational speed <svg height="9.25658pt" id="M3" style="vertical-align:-3.295671pt" version="1.1" viewbox="-0.0498162 -5.96091 11.9971 9.25658" width="11.9971pt" 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="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.461,3.132)"><path d="M526 56L493 58C457 61 448 68 448 119V710C411 697 344 682 288 675V646C362 641 367 639 367 573V439C344 448 315 451 300 451C164 451 40 342 40 202C40 61 147 -12 227 -12C239 -12 266 -7 305 16L367 53V-12C427 10 505 21 526 26V56ZM367 88C342 69 306 54 271 54C207 54 133 111 133 229C133 373 219 409 264 409C301 409 342 394 367 359V88Z"></path></g></svg></td><td class="align_center">1710 r/min</td></tr><tr><td class="align_left">Number of blades <i>Z</i></td><td class="align_center">6</td></tr><tr><td class="align_left">Diameter of impeller inlet <i>D</i><sub>1</sub></td><td class="align_center">0.245m</td></tr><tr><td class="align_left">Diameter of impeller outlet <i>D</i><sub>2</sub></td><td class="align_center"> 0.325m</td></tr><tr><td class="align_left">Blade wrap angle <i>α</i></td><td class="align_center">120°</td></tr><tr><td class="align_left">Blade outlet angle <i>β</i><sub>2</sub></td><td class="align_center">27°</td></tr><tr><td class="align_left">Base circle diameter of volute <i>D</i><sub>3</sub></td><td class="align_center">0.34m</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Main design parameters of the centrifugal pump.</div>

Mathematical Problems in Engineering

tab1

Table 1

Table 1: Study on Flow Characteristics in Volute of Centrifugal Pump Based on Dynamic Mode Decomposition 