Flow Control by Slot Position and Noise Baffle in a Self-Recirculation Casing Treatment on an Axial Fan-Rotor

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2"> </td><td class="align_center" colspan="2"><svg height="12.0653pt" id="M56" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 14.9099 12.0653" width="14.9099pt" 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="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z" id="g113-133"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="641" vert-adv-y="641"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M471 401C471 442 455 448 440 448C421 448 389 439 366 424C314 390 233 331 165 242H163L187 345C193 372 197 393 197 409C197 435 189 448 174 448C146 448 80 408 23 349L40 327C64 351 97 373 107 373C115 373 118 366 111 337L29 -4L36 -12C56 -4 83 3 110 9C123 69 136 126 150 172C227 283 336 381 377 381C392 381 396 370 379 298L326 74C290 -77 273 -172 273 -197C273 -219 316 -261 346 -261L353 -246C348 -227 352 -174 374 -66L457 310C467 352 471 381 471 401Z" id="g113-229"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g></svg> due to loss</td><td class="align_center" colspan="2"><svg height="12.0653pt" id="M57" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 14.9099 12.0653" width="14.9099pt" 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="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z" id="g113-133"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="641" vert-adv-y="641"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M471 401C471 442 455 448 440 448C421 448 389 439 366 424C314 390 233 331 165 242H163L187 345C193 372 197 393 197 409C197 435 189 448 174 448C146 448 80 408 23 349L40 327C64 351 97 373 107 373C115 373 118 366 111 337L29 -4L36 -12C56 -4 83 3 110 9C123 69 136 126 150 172C227 283 336 381 377 381C392 381 396 370 379 298L326 74C290 -77 273 -172 273 -197C273 -219 316 -261 346 -261L353 -246C348 -227 352 -174 374 -66L457 310C467 352 471 381 471 401Z" id="g113-229"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g></svg> due to input of work</td></tr><tr class="thead"><td class="align_center">Value</td><td class="align_center">Contribution in percentage</td><td class="align_center">Value</td><td class="align_center">Contribution in percentage</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">CT</td><td class="align_center">−0.0703</td><td class="align_center">116.7%</td><td class="align_center">0.0101</td><td class="align_center">−16.7%</td></tr><tr><td class="align_left"><span style="width: 42.518ptpx;"><svg height="12.0621pt" id="M58" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.7664 42.518 12.0621" width="42.518pt" 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="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z" id="g121-65"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="665" vert-adv-y="665"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,8.645,0)"><path d="M592 498C586 556 582 629 581 675H560C545 656 537 650 510 650H115C87 650 74 652 60 675H40C38 620 33 555 28 495H57C69 539 77 568 89 585C102 607 122 616 205 616H267V123C267 44 259 34 168 28V0H454V28C360 34 352 44 352 123V616H422C498 616 514 608 531 584C542 568 552 543 562 495L592 498Z" id="g121-82"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="617" vert-adv-y="617"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,16.728,3.132)"><path d="M156 406V710C117 695 54 682 9 675V647C73 642 75 635 75 573V25C131 -2 180 -12 223 -12C359 -12 478 92 478 240C478 357 387 451 278 451C265 451 251 447 236 440L156 406ZM156 373C175 384 208 392 235 392C315 392 387 328 387 214C387 97 332 30 251 31C197 31 170 66 162 84C158 93 156 104 156 118V373Z" id="g58-96"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="517" vert-adv-y="517"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,21.488,3.132)"><path d="M442 39L431 68C420 63 406 57 394 57C377 57 359 71 359 118V301C359 353 349 393 314 424C291 443 261 451 230 451C171 438 107 401 79 381C59 366 46 355 46 340C46 316 72 295 91 295C106 295 117 303 122 319C131 350 139 371 152 384C163 397 178 404 197 404C246 404 281 365 281 293V278C260 262 186 232 124 213C69 194 41 161 41 112C41 47 92 -12 163 -12C195 -12 243 25 283 51C288 35 293 22 308 7C319 -4 339 -12 354 -12L442 39ZM281 87C262 68 226 51 199 51C169 51 129 74 129 126C129 162 151 181 190 198C211 208 259 229 281 240V87Z" id="g58-95"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="449" vert-adv-y="449"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,25.492,3.132)"><path d="M801 0V30C735 35 729 41 729 101V703L720 709C704 700 691 692 676 685C653 702 623 710 586 710C538 706 487 679 447 638C428 658 393 685 328 688C277 684 235 665 196 634C145 593 125 550 116 525C108 502 104 477 104 456V439H57L29 408L33 396H104V106C104 41 96 35 35 30V0H252V30C192 38 185 41 185 106V396H376V102C376 42 370 35 311 30V0H525V30C464 35 457 41 457 101L458 396H566C577 404 582 428 576 439H457V481C457 561 472 609 489 629C504 648 528 664 560 664C599 664 633 642 648 617V101C648 41 641 35 585 30V0H801ZM376 439H185V463C185 531 197 572 212 596C228 623 255 643 295 643C350 643 387 613 406 584C397 565 390 549 387 538C380 518 376 492 376 457V439Z" id="g58-30"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="818" vert-adv-y="818"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,32.935,3.132)"><path d="M384 109C349 76 310 59 268 59C197 59 123 113 120 245C240 248 367 259 384 262C403 266 407 275 407 296C407 376 338 451 254 451H253C201 451 148 425 105 378C65 334 39 272 39 203C39 88 112 -12 235 -12C266 -12 339 5 402 84L384 109ZM230 411C285 411 319 365 319 313C319 298 313 293 294 293C236 291 180 290 125 290C141 370 185 411 230 411Z" id="g58-99"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="434" vert-adv-y="434"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,36.93,3.132)"><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" id="g58-98"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="538" vert-adv-y="538"></glyph.data></g></svg></span></td><td class="align_center">−0.0658</td><td class="align_center">98.5%</td><td class="align_center">−0.0001</td><td class="align_center">1.5%</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The contribution of change of loss and work input to efficiency.

International Journal of Rotating Machinery

tab3

Table 3

Table 3: Flow Control by Slot Position and Noise Baffle in a Self-Recirculation Casing Treatment on an Axial Fan-Rotor 