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Foil (fluid mechanics)

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64: 460:"...the motion of objects in air and in water obeys identical laws until their speed approaches the speed of sound."(page 41) "... air too can be regarded as incompressible as long as flow speeds remain reasonably low. This assumption is roughly valid as long as airplanes fly slower than... about one-third of the speed of sound."(page 61) 207:
The weight a foil can lift is proportional to its lift coefficient, the density of the fluid, the foil area and its speed squared. The following shows the lifting ability of a flat plate with span 10 metres and area 10 square metres moving at a speed of 10 m/s at different altitudes and water depths.
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height 11 km: lift 1.0 (datum for comparison) 5 m 3.4 in ground effect 4.1 water surface-planing 1,280 just submerged 1,420 depth 5 m 2,840 10 km 2,860
544:"A flat plate held at the proper angle of attack does generate lift, but also generates a lot of drag. Sir George Cayley and Otto Lilienthal during the 1800s showed that curved surfaces generate more lift and less drag than flat surfaces." 83:. This "turning" of the fluid in the vicinity of the foil creates curved streamlines which results in lower pressure on one side and higher pressure on the other. This pressure difference is accompanied by a velocity difference, via 358:"If the body is shaped, moved, or inclined in such a way as to produce a net deflection or turning of the flow, the local velocity is changed in magnitude, direction, or both. Changing the velocity creates a net force on the body" 133:
of a boat or aircraft. When designing a rudder a key design factor is the minimization of drag in its neutral position, which is balanced with the need to produce sufficient lift with which to turn the craft at a reasonable rate.
98:. And since the effects of the compressibility of air at low speeds is negligible, these simplified equations can be used for airfoils as long as the airflow is substantially less than the speed of sound (up to about 342:"...the effect of the wing is to give the air stream a downward velocity component. The reaction force of the deflected air mass must then act on the wing to give it an equal and opposite upward component." In: 75:. When oriented at a suitable angle, the foil deflects the oncoming fluid, resulting in a force on the foil in the direction opposite to the deflection. This force can be resolved into two components: 480:"...the low-speed flow of air, where V < 100 m/s (or V < 225 mi/hr) can also be assumed to be incompressible to a close approximation." in Anderson, John D. Jr. 208:
It uses the lift at an altitude of 11 km as a datum to show how the lift increases with decreasing altitude (increasing air density). It also shows the influence of
110:– with air penetrating along the strut from the water surface to the foil – may occur. Both effects may have a substantial influence on the foil's lift. 548: 91: 129:
Since even a flat plate can generate lift, a significant factor in foil design is the minimization of drag. An example of this is the
387: 87:, so for foils generating lift the resulting flowfield about the foil has a higher average velocity on one surface than on the other. 615: 605: 360: 610: 565: 137:
Other types of foils, both natural and man-made, seen both in air and water, have features that delay or control the onset of
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will result in a lift force on the plate. However, while it does generate lift, it also generates a large amount of drag.
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0.3). For hydrofoils at high speeds, of the order of 50 knots (26 m/s) according to Faltinsen,
384:"The cause of the aerodynamic lifting force is the downward acceleration of air by the airfoil..." 84: 660: 413: 665: 502: 428: 393: 313: 176: 123: 8: 625: 432: 408:...if a streamline is curved, there must be a pressure gradient across the streamline... 364: 569: 444: 188: 630: 528: 518: 485: 465: 440: 266: 184: 138: 510: 448: 436: 287: 261: 246: 192: 172: 122:) to the flow the plate will deflect the fluid passing over and under it, and this 35:(force generated perpendicular to the fluid flow) is substantially larger than the 645: 552: 276: 143: 119: 72: 63: 28: 271: 148: 95: 80: 36: 640: 635: 654: 620: 514: 318: 251: 164: 292: 256: 76: 32: 241: 152: 99: 584: 231: 180: 103: 591: 590:
Lifted_Weight_as_a_Function_of_Altitude_and_Depth_by_Rolf_Steinegger
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http://quest.nasa.gov/aero/planetary/atmospheric/aerodynamiclift.html
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and then the effect of increase in density going from air to water.
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The simplest type of foil is a flat plate. When set at an angle (the
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Streamlines around a NACA 0012 airfoil at moderate angle of attack
378: 196: 160: 44: 39:(force generated parallel to the fluid flow). If the fluid is a 23:
is a solid object with a shape such that when placed in a moving
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A more detailed description of the flowfield is given by the
48: 24: 509:, {Cambridge University Press}, pp. 169–173, 208–209, 323: 308: 302: 281: 156: 71:
A foil generates lift primarily because of its shape and
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phillipines thresher shark swim towards scuba divers
385: 202: 652: 501: 113: 363:. NASA Glenn Research Center. Archived from 507:Hydrodynamics of High-Speed Marine Vehicles 386:Weltner, Klaus; Ingelman-Sundberg, Martin, 343: 495: 411: 62: 464:Wegener, Peter P. Springer-Verlag 1991 400: 653: 336: 348:, John Wiley & Sons, p. 378 16:Solid object used in fluid mechanics 346:Fundamentals of Physics 3rd Edition 58: 13: 592:https://doi.org/10.21256/zhaw-4058 412:Babinsky, Holger (November 2003), 344:Halliday, David; Resnick, Robert, 92:simplified Navier–Stokes equations 14: 677: 599: 47:or aerofoil, and if the fluid is 563: 203:Lifted ability in air and water 94:, applicable when the fluid is 557: 538: 474: 454: 352: 1: 330: 389:Physics of Flight - reviewed 7: 641:Swimming with Wild Dolphins 219: 114:Basic design considerations 10: 682: 441:10.1088/0031-9120/38/6/001 462:What Makes Airplanes Fly? 515:10.1017/CBO9780511546068 484:4th ed McGraw-Hill 2000 361:"Lift from Flow Turning" 43:, the foil is called an 621:Effect of Shape on Lift 606:Lift from Flow Turning 482:Introduction to Flight 68: 626:Incorrect Lift Theory 85:Bernoulli's principle 66: 51:the foil is called a 616:Bernoulli and Newton 414:"How do wings work?" 314:Spoiler (automotive) 433:2003PhyEd..38..497B 551:2011-10-27 at the 189:Leading edge slats 69: 421:Physics Education 267:Flipper (anatomy) 185:Leading edge slot 179:(close-coupled), 139:lift-induced drag 673: 594: 588: 582: 581: 579: 577: 572:on March 9, 2009 568:. Archived from 561: 555: 542: 536: 535: 499: 493: 478: 472: 458: 452: 451: 418: 404: 398: 397: 392:, archived from 382: 376: 375: 373: 372: 356: 350: 349: 340: 288:Lift coefficient 262:Drag coefficient 247:Chord (aircraft) 193:Wingtip vortices 173:Vortex generator 59:Physics of foils 681: 680: 676: 675: 674: 672: 671: 670: 651: 650: 631:Penguin can fly 602: 597: 589: 585: 575: 573: 566:"What is lift?" 562: 558: 553:Wayback Machine 543: 539: 525: 500: 496: 479: 475: 459: 455: 416: 405: 401: 383: 379: 370: 368: 359: 357: 353: 341: 337: 333: 328: 277:Formula One car 222: 217: 205: 144:flow separation 120:angle of attack 116: 73:angle of attack 61: 29:angle of attack 17: 12: 11: 5: 679: 669: 668: 663: 661:Fluid dynamics 649: 648: 646:Bird Flight II 643: 638: 633: 628: 623: 618: 613: 608: 601: 600:External links 598: 596: 595: 583: 556: 537: 523: 503:O.M. Faltinsen 494: 473: 453: 427:(6): 497–503, 399: 377: 351: 334: 332: 329: 327: 326: 321: 316: 311: 306: 305:(aerodynamics) 300: 295: 290: 285: 284:(hydrodynamic) 279: 274: 272:Fluid dynamics 269: 264: 259: 254: 249: 244: 239: 234: 229: 223: 221: 218: 214: 204: 201: 191:), as well as 115: 112: 96:incompressible 60: 57: 27:at a suitable 15: 9: 6: 4: 3: 2: 678: 667: 664: 662: 659: 658: 656: 647: 644: 642: 639: 637: 634: 632: 629: 627: 624: 622: 619: 617: 614: 612: 611:What is Lift? 609: 607: 604: 603: 593: 587: 571: 567: 560: 554: 550: 547: 541: 534: 530: 526: 524:9780521845687 520: 516: 512: 508: 504: 498: 491: 490:0-07-109282-X 487: 483: 477: 471: 470:0-387-97513-6 467: 463: 457: 450: 446: 442: 438: 434: 430: 426: 422: 415: 409: 403: 396:on 2011-07-19 395: 391: 390: 381: 367:on 2011-07-05 366: 362: 355: 347: 339: 335: 325: 322: 320: 319:Surfboard fin 317: 315: 312: 310: 307: 304: 301: 299: 296: 294: 291: 289: 286: 283: 280: 278: 275: 273: 270: 268: 265: 263: 260: 258: 255: 253: 252:Coanda effect 250: 248: 245: 243: 240: 238: 235: 233: 230: 228: 225: 224: 213: 211: 210:ground effect 200: 198: 194: 190: 186: 182: 178: 174: 170: 166: 165:Placoid scale 162: 158: 154: 150: 146: 145: 140: 135: 132: 127: 125: 121: 111: 109: 105: 101: 97: 93: 88: 86: 82: 78: 74: 65: 56: 54: 50: 46: 42: 38: 34: 30: 26: 22: 666:Aerodynamics 586: 574:. Retrieved 570:the original 559: 540: 506: 497: 481: 476: 461: 456: 424: 420: 407: 402: 394:the original 388: 380: 369:. Retrieved 365:the original 354: 345: 338: 293:NACA airfoil 257:Diving plane 206: 142: 136: 128: 117: 107: 89: 70: 20: 18: 242:Centerboard 153:Bird flight 108:ventilation 655:Categories 533:2005006328 371:2011-06-29 331:References 232:Bilgeboard 181:Blown flap 124:deflection 104:cavitation 298:Propeller 237:Boomerang 53:hydrofoil 549:Archived 505:(2005), 227:Aircraft 220:See also 169:Tubercle 576:July 5, 449:1657792 429:Bibcode 197:Winglet 161:Airfoil 45:airfoil 564:NASA. 531:  521:  492:pg 114 488:  468:  447:  177:Canard 147:, and 131:rudder 445:S2CID 417:(PDF) 195:(see 151:(see 149:stall 49:water 25:fluid 578:2011 529:LCCN 519:ISBN 486:ISBN 466:ISBN 324:Wing 309:Skeg 303:Sail 282:Keel 106:and 100:Mach 81:drag 79:and 77:lift 37:drag 33:lift 31:the 21:foil 511:doi 437:doi 199:). 157:Fin 41:gas 657:: 527:, 517:, 443:, 435:, 425:38 423:, 419:, 187:, 183:, 175:, 171:, 167:, 163:, 159:, 155:, 141:, 55:. 19:A 580:. 513:: 439:: 431:: 410:" 406:" 374:.

Index

fluid
angle of attack
lift
drag
gas
airfoil
water
hydrofoil

angle of attack
lift
drag
Bernoulli's principle
simplified Navier–Stokes equations
incompressible
Mach
cavitation
angle of attack
deflection
rudder
lift-induced drag
flow separation
stall
Bird flight
Fin
Airfoil
Placoid scale
Tubercle
Vortex generator
Canard

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