The Impact of Icing on the Airfoil on the Lift-Drag Characteristics and Maneuverability Characteristics

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Manipulation derivative</td><td class="align_center">Variation %</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><span style="width: 30.8548ptpx;"><svg height="13.9769pt" id="M17" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 30.8548 13.9769" width="30.8548pt" 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"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.946,3.132)"><path d="M567 167L534 181C505 122 482 94 454 70C428 46 385 42 330 42C288 42 248 44 235 55C216 70 213 91 220 130L295 528C310 609 314 611 401 618L409 650H140L131 618C222 611 224 609 209 528L133 126C118 47 108 41 25 33L18 0H497C514 33 554 126 567 167Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,22.295,3.132)"><path d="M501 517C491 587 426 710 310 710C240 710 175 662 175 601C175 561 201 517 250 452C219 438 187 423 157 404C88 360 24 280 24 178C24 71 90 -12 195 -12C250 -12 297 6 334 32C412 87 452 170 452 249C452 335 408 396 333 481C259 565 229 601 229 621C229 642 245 652 275 652C359 652 427 583 490 499L501 517ZM364 233C364 142 323 33 222 33C173 33 119 81 119 178C119 265 156 335 193 374C213 395 242 413 272 425C308 384 364 319 364 233Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,26.845,5.233)"><path d="M405 367C405 413 360 454 298 454C251 454 197 434 150 401C64 340 25 235 25 140C25 14 99 -12 150 -12C198 -12 287 5 379 106L360 137C311 89 250 57 202 57C136 57 114 110 114 165V187C210 209 405 256 405 367ZM322 353C322 310 277 263 122 227C137 341 191 386 225 400C233 403 254 409 264 409C299 409 322 394 322 353Z"></path></g></svg></span></td><td class="align_center">−9.50</td></tr><tr><td class="align_left"><span style="width: 32.8369ptpx;"><svg height="13.9769pt" id="M18" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 32.8369 13.9769" width="32.8369pt" 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"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.946,3.132)"><path d="M781 91L765 118C733 86 702 70 693 70C686 70 685 77 692 106L738 297C772 439 736 451 712 451S675 445 647 431C605 410 526 356 452 257H450L459 294C491 426 459 451 429 451C403 451 386 445 361 431C312 404 239 343 170 253H168L188 333C208 411 205 451 175 451C148 451 85 417 24 346L39 318C57 338 100 374 112 374C120 374 122 372 115 339C91 226 62 112 28 -6L37 -12C59 -4 87 3 114 6C125 68 142 127 154 168C184 227 316 383 372 383C397 383 396 366 381 289C362 192 338 92 312 -6L317 -12C339 -5 367 3 396 6L434 170C468 234 598 383 650 383C668 383 676 369 664 319L609 90C593 23 600 -12 629 -12C654 -12 722 23 781 91Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,24.272,3.132)"><path d="M501 517C491 587 426 710 310 710C240 710 175 662 175 601C175 561 201 517 250 452C219 438 187 423 157 404C88 360 24 280 24 178C24 71 90 -12 195 -12C250 -12 297 6 334 32C412 87 452 170 452 249C452 335 408 396 333 481C259 565 229 601 229 621C229 642 245 652 275 652C359 652 427 583 490 499L501 517ZM364 233C364 142 323 33 222 33C173 33 119 81 119 178C119 265 156 335 193 374C213 395 242 413 272 425C308 384 364 319 364 233Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,28.822,5.233)"><path d="M405 367C405 413 360 454 298 454C251 454 197 434 150 401C64 340 25 235 25 140C25 14 99 -12 150 -12C198 -12 287 5 379 106L360 137C311 89 250 57 202 57C136 57 114 110 114 165V187C210 209 405 256 405 367ZM322 353C322 310 277 263 122 227C137 341 191 386 225 400C233 403 254 409 264 409C299 409 322 394 322 353Z"></path></g></svg></span></td><td class="align_center">−10</td></tr><tr><td class="align_left"><span style="width: 30.706ptpx;"><svg height="13.9769pt" id="M19" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 30.706 13.9769" width="30.706pt" 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"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.946,3.132)"><path d="M679 650H432L424 619L456 615C499 610 507 601 486 568C442 499 366 400 315 336C281 403 229 526 211 570C199 600 202 610 239 614C239 614 281 618 281 619L288 650H33L24 619C98 612 106 606 129 552L226 325C238 297 238 282 234 259L211 136C193 42 184 38 97 32L86 0H375L382 32C285 39 277 45 296 136L324 267C329 290 337 304 350 322C420 416 479 489 523 539C582 607 595 613 668 619L679 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,22.142,3.132)"><path d="M501 517C491 587 426 710 310 710C240 710 175 662 175 601C175 561 201 517 250 452C219 438 187 423 157 404C88 360 24 280 24 178C24 71 90 -12 195 -12C250 -12 297 6 334 32C412 87 452 170 452 249C452 335 408 396 333 481C259 565 229 601 229 621C229 642 245 652 275 652C359 652 427 583 490 499L501 517ZM364 233C364 142 323 33 222 33C173 33 119 81 119 178C119 265 156 335 193 374C213 395 242 413 272 425C308 384 364 319 364 233Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,26.692,5.233)"><path d="M401 382C409 397 408 412 399 428C392 441 374 454 353 454C302 454 241 373 198 302H196L204 340C218 406 209 454 182 454C154 454 85 408 31 347L50 314C93 354 121 372 129 372C139 372 140 360 131 317L59 -5L64 -12C91 -5 123 3 147 4C162 97 174 169 186 211C205 255 248 312 265 334S300 366 307 366C325 366 337 361 353 345C356 342 368 342 374 347C383 354 392 366 401 382Z"></path></g></svg></span></td><td class="align_center">−8</td></tr><tr><td class="align_left"><span style="width: 28.553ptpx;"><svg height="13.9769pt" id="M20" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 28.553 13.9769" width="28.553pt" 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"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.946,3.132)"><path d="M238 675C244 702 241 710 231 710C220 710 155 682 74 673L70 643H101C147 643 151 635 142 594L39 111C18 11 36 -12 55 -12C89 -12 170 38 223 103L207 129C176 98 130 68 118 68C113 68 108 72 114 102L238 675Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,19.413,3.132)"><path d="M501 517C491 587 426 710 310 710C240 710 175 662 175 601C175 561 201 517 250 452C219 438 187 423 157 404C88 360 24 280 24 178C24 71 90 -12 195 -12C250 -12 297 6 334 32C412 87 452 170 452 249C452 335 408 396 333 481C259 565 229 601 229 621C229 642 245 652 275 652C359 652 427 583 490 499L501 517ZM364 233C364 142 323 33 222 33C173 33 119 81 119 178C119 265 156 335 193 374C213 395 242 413 272 425C308 384 364 319 364 233Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,23.963,5.233)"><path d="M496 96L481 126C448 100 409 74 404 74C396 74 395 81 402 123C424 247 452 381 469 435L459 439C448 439 433 442 420 445C395 450 369 454 343 454C280 454 202 421 158 387C76 324 25 207 25 110C25 25 60 -12 90 -12C123 -12 159 4 197 34C241 69 294 126 328 171H330L314 86C298 0 313 -12 337 -12S429 24 496 96ZM375 388C374 372 365 306 350 267C332 211 193 56 146 56C133 56 117 74 117 123C117 224 161 332 224 382C244 397 276 404 304 404S362 397 375 388Z"></path></g></svg></span></td><td class="align_center">−10</td></tr><tr><td class="align_left"><span style="width: 27.9658ptpx;"><svg height="13.9769pt" id="M21" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 27.9658 13.9769" width="27.9658pt" 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"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.946,3.132)"><path d="M238 675C244 702 241 710 231 710C220 710 155 682 74 673L70 643H101C147 643 151 635 142 594L39 111C18 11 36 -12 55 -12C89 -12 170 38 223 103L207 129C176 98 130 68 118 68C113 68 108 72 114 102L238 675Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,19.413,3.132)"><path d="M501 517C491 587 426 710 310 710C240 710 175 662 175 601C175 561 201 517 250 452C219 438 187 423 157 404C88 360 24 280 24 178C24 71 90 -12 195 -12C250 -12 297 6 334 32C412 87 452 170 452 249C452 335 408 396 333 481C259 565 229 601 229 621C229 642 245 652 275 652C359 652 427 583 490 499L501 517ZM364 233C364 142 323 33 222 33C173 33 119 81 119 178C119 265 156 335 193 374C213 395 242 413 272 425C308 384 364 319 364 233Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,23.963,5.233)"><path d="M401 382C409 397 408 412 399 428C392 441 374 454 353 454C302 454 241 373 198 302H196L204 340C218 406 209 454 182 454C154 454 85 408 31 347L50 314C93 354 121 372 129 372C139 372 140 360 131 317L59 -5L64 -12C91 -5 123 3 147 4C162 97 174 169 186 211C205 255 248 312 265 334S300 366 307 366C325 366 337 361 353 345C356 342 368 342 374 347C383 354 392 366 401 382Z"></path></g></svg></span></td><td class="align_center">−8</td></tr><tr><td class="align_left"><span style="width: 30.1672ptpx;"><svg height="13.9769pt" id="M22" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 30.1672 13.9769" width="30.1672pt" 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"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,16.946,3.132)"><path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,21.605,3.132)"><path d="M501 517C491 587 426 710 310 710C240 710 175 662 175 601C175 561 201 517 250 452C219 438 187 423 157 404C88 360 24 280 24 178C24 71 90 -12 195 -12C250 -12 297 6 334 32C412 87 452 170 452 249C452 335 408 396 333 481C259 565 229 601 229 621C229 642 245 652 275 652C359 652 427 583 490 499L501 517ZM364 233C364 142 323 33 222 33C173 33 119 81 119 178C119 265 156 335 193 374C213 395 242 413 272 425C308 384 364 319 364 233Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,26.155,5.233)"><path d="M401 382C409 397 408 412 399 428C392 441 374 454 353 454C302 454 241 373 198 302H196L204 340C218 406 209 454 182 454C154 454 85 408 31 347L50 314C93 354 121 372 129 372C139 372 140 360 131 317L59 -5L64 -12C91 -5 123 3 147 4C162 97 174 169 186 211C205 255 248 312 265 334S300 366 307 366C325 366 337 361 353 345C356 342 368 342 374 347C383 354 392 366 401 382Z"></path></g></svg></span></td><td class="align_center">−8.30</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The influence of icing on the manipulation derivative.</div>

Mathematical Problems in Engineering

tab5

Table 5

Table 5: The Impact of Icing on the Airfoil on the Lift-Drag Characteristics and Maneuverability Characteristics 