Knowledge (XXG)

Oswald efficiency number

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For conventional fixed-wing aircraft with moderate aspect ratio and sweep, Oswald efficiency number with wing flaps retracted is typically between 0.7 and 0.85. At supersonic speeds, Oswald efficiency number decreases substantially. For example, at Mach 1.2 Oswald efficiency number is likely to be
589: 147: 884: 807: 927: 675: 634: 230: 960: 337: 268: 185: 299: 739: 450: 423: 702: 366: 27:, is a correction factor that represents the change in drag with lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same 1096: 458: 52: 813: 1038: 1024: 304: 1115: 1089: 1120: 425:, which is certainly not true in general. Assuming that the profile drag itself has a constant+quadratic dependence on 1125: 235: 390:
It is frequently assumed that Oswald efficiency number is the same as the span efficiency factor which appears in
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is typically used for both. But this assumes that the profile drag coefficient is independent of
200: 932: 1034: 1020: 971: 1066: 1044: 314: 245: 162: 283: 273: 190: 44: 40: 717: 428: 401: 686: 348: 1109: 584:{\displaystyle C_{D}=c_{d_{0}}+c_{d_{2}}(C_{L})^{2}+{\frac {(C_{L})^{2}}{\pi eAR}}} 706:
is the span efficiency factor from inviscid theory, such as lifting-line theory
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expressions gives the relation between the Oswald efficiency number
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of the wing or airplane has a constant+quadratic dependence on the
142:{\displaystyle C_{D}=C_{D_{0}}+{\frac {(C_{L})^{2}}{\pi e_{0}AR}}} 879:{\displaystyle {\frac {1}{e_{0}}}={\frac {1}{e}}+\pi ARc_{d_{2}}} 39:
The Oswald efficiency is defined for the cases where the overall
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Correlation factor comparing drag coefficient with an ideal wing
452:, an alternative drag coefficient breakdown can be given by 1045:
http://calteches.library.caltech.edu/3961/1/Obituaries.pdf
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is the quadratic part of the profile drag coefficient,
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is the constant part of the profile drag coefficient,
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You can help Knowledge (XXG) by 14: 1057: 1002:, Section 12.6 (Fourth edition) 341:is the Oswald efficiency number 305:circumference-to-diameter ratio 1033:, Sixth edition. McGraw Hill. 922:{\displaystyle c_{d_{2}}>0} 555: 541: 526: 512: 394:, and in fact the same symbol 106: 92: 1: 1043:PhD. William Bailey Oswald, 1015:Raymer, Daniel P. (2006). 670:{\displaystyle c_{d_{2}}\;} 629:{\displaystyle c_{d_{0}}\;} 598: 225:{\displaystyle C_{D_{0}}\;} 156: 1142: 1052: 1029:Anderson, John D. (2008). 955:{\displaystyle e_{0}<e} 889:For the typical situation 236:zero-lift drag coefficient 274:aircraft lift coefficient 45:aircraft lift coefficient 332:{\displaystyle e_{0}\;} 263:{\displaystyle C_{L}\;} 180:{\displaystyle C_{D}\;} 1031:Introduction to Flight 956: 923: 880: 803: 735: 698: 671: 630: 585: 446: 419: 362: 333: 295: 294:{\displaystyle \pi \;} 264: 226: 181: 143: 1116:Aerospace engineering 957: 924: 881: 804: 736: 734:{\displaystyle C_{D}} 699: 672: 631: 586: 447: 445:{\displaystyle C_{L}} 420: 418:{\displaystyle C_{L}} 382:between 0.3 and 0.5. 363: 334: 296: 265: 227: 182: 144: 1121:Aircraft wing design 933: 893: 814: 759: 718: 687: 646: 605: 459: 429: 402: 349: 315: 284: 246: 201: 163: 53: 998:Raymer, Daniel P., 977:Lifting-line theory 697:{\displaystyle e\;} 392:lifting-line theory 41:coefficient of drag 952: 919: 876: 799: 731: 694: 667: 626: 581: 442: 415: 361:{\displaystyle AR} 358: 329: 291: 260: 222: 177: 139: 1126:Engineering stubs 1078: 1077: 972:Lift-induced drag 845: 832: 714:Equating the two 710: 709: 579: 377: 376: 137: 23:, similar to the 21:Oswald efficiency 1133: 1099: 1092: 1085: 1061: 1054: 1003: 996: 961: 959: 958: 953: 945: 944: 928: 926: 925: 920: 912: 911: 910: 909: 885: 883: 882: 877: 875: 874: 873: 872: 846: 838: 833: 831: 830: 818: 808: 806: 805: 800: 798: 797: 796: 795: 778: 777: 776: 775: 740: 738: 737: 732: 730: 729: 703: 701: 700: 695: 676: 674: 673: 668: 665: 664: 663: 662: 635: 633: 632: 627: 624: 623: 622: 621: 599: 590: 588: 587: 582: 580: 578: 564: 563: 562: 553: 552: 539: 534: 533: 524: 523: 511: 510: 509: 508: 491: 490: 489: 488: 471: 470: 451: 449: 448: 443: 441: 440: 424: 422: 421: 416: 414: 413: 367: 365: 364: 359: 338: 336: 335: 330: 327: 326: 300: 298: 297: 292: 269: 267: 266: 261: 258: 257: 231: 229: 228: 223: 220: 219: 218: 217: 191:drag coefficient 186: 184: 183: 178: 175: 174: 157: 148: 146: 145: 140: 138: 136: 129: 128: 115: 114: 113: 104: 103: 90: 85: 84: 83: 82: 65: 64: 1141: 1140: 1136: 1135: 1134: 1132: 1131: 1130: 1106: 1105: 1104: 1103: 1050: 1012: 1007: 1006: 997: 990: 985: 968: 936: 931: 930: 901: 896: 891: 890: 864: 859: 822: 812: 811: 787: 782: 767: 762: 757: 756: 746: 721: 716: 715: 685: 684: 654: 649: 644: 643: 613: 608: 603: 602: 565: 554: 544: 540: 525: 515: 500: 495: 480: 475: 462: 457: 456: 432: 427: 426: 405: 400: 399: 388: 347: 346: 318: 313: 312: 282: 281: 249: 244: 243: 209: 204: 199: 198: 189:is the overall 166: 161: 160: 120: 116: 105: 95: 91: 74: 69: 56: 51: 50: 37: 25:span efficiency 17: 12: 11: 5: 1139: 1137: 1129: 1128: 1123: 1118: 1108: 1107: 1102: 1101: 1094: 1087: 1079: 1076: 1075: 1062: 1048: 1047: 1041: 1027: 1011: 1008: 1005: 1004: 987: 986: 984: 981: 980: 979: 974: 967: 964: 951: 948: 943: 939: 918: 915: 908: 904: 899: 887: 886: 871: 867: 862: 858: 855: 852: 849: 844: 841: 836: 829: 825: 821: 809: 794: 790: 785: 781: 774: 770: 765: 744: 728: 724: 712: 711: 708: 707: 704: 692: 681: 680: 677: 661: 657: 652: 640: 639: 636: 620: 616: 611: 592: 591: 577: 574: 571: 568: 561: 557: 551: 547: 543: 537: 532: 528: 522: 518: 514: 507: 503: 498: 494: 487: 483: 478: 474: 469: 465: 439: 435: 412: 408: 387: 384: 379: 378: 375: 374: 368: 357: 354: 343: 342: 339: 325: 321: 309: 308: 301: 289: 278: 277: 270: 256: 252: 240: 239: 232: 216: 212: 207: 195: 194: 187: 173: 169: 150: 149: 135: 132: 127: 123: 119: 112: 108: 102: 98: 94: 88: 81: 77: 72: 68: 63: 59: 36: 33: 15: 13: 10: 9: 6: 4: 3: 2: 1138: 1127: 1124: 1122: 1119: 1117: 1114: 1113: 1111: 1100: 1095: 1093: 1088: 1086: 1081: 1080: 1074: 1072: 1068: 1063: 1060: 1056: 1051: 1046: 1042: 1040: 1039:0-07-126318-7 1036: 1032: 1028: 1026: 1025:1-56347-829-3 1022: 1018: 1014: 1013: 1009: 1001: 995: 993: 989: 982: 978: 975: 973: 970: 969: 965: 963: 949: 946: 941: 937: 916: 913: 906: 902: 897: 869: 865: 860: 856: 853: 850: 847: 842: 839: 834: 827: 823: 819: 810: 792: 788: 783: 779: 772: 768: 763: 755: 754: 753: 751: 747: 726: 722: 705: 690: 683: 682: 678: 659: 655: 650: 642: 641: 637: 618: 614: 609: 601: 600: 597: 596: 595: 575: 572: 569: 566: 559: 549: 545: 535: 530: 520: 516: 505: 501: 496: 492: 485: 481: 476: 472: 467: 463: 455: 454: 453: 437: 433: 410: 406: 397: 393: 385: 383: 373: 369: 355: 352: 345: 344: 340: 323: 319: 311: 310: 307:of a circle, 306: 302: 287: 280: 279: 275: 271: 254: 250: 242: 241: 237: 233: 214: 210: 205: 197: 196: 192: 188: 171: 167: 159: 158: 155: 154: 153: 133: 130: 125: 121: 117: 110: 100: 96: 86: 79: 75: 70: 66: 61: 57: 49: 48: 47: 46: 42: 34: 32: 30: 26: 22: 1071:expanding it 1064: 1049: 1030: 1016: 999: 888: 749: 742: 713: 593: 395: 389: 380: 372:aspect ratio 151: 38: 29:aspect ratio 24: 20: 18: 1110:Categories 1010:References 929:, we have 35:Definition 851:π 567:π 288:π 118:π 966:See also 370:is the 303:is the 272:is the 234:is the 1037:  1023:  594:where 152:where 983:Notes 1067:stub 1035:ISBN 1021:ISBN 947:< 914:> 19:The 1112:: 991:^ 962:. 752:. 276:, 238:, 193:, 1098:e 1091:t 1084:v 1073:. 950:e 942:0 938:e 917:0 907:2 903:d 898:c 870:2 866:d 861:c 857:R 854:A 848:+ 843:e 840:1 835:= 828:0 824:e 820:1 793:0 789:d 784:c 780:= 773:0 769:D 764:C 750:e 745:0 743:e 727:D 723:C 691:e 660:2 656:d 651:c 619:0 615:d 610:c 576:R 573:A 570:e 560:2 556:) 550:L 546:C 542:( 536:+ 531:2 527:) 521:L 517:C 513:( 506:2 502:d 497:c 493:+ 486:0 482:d 477:c 473:= 468:D 464:C 438:L 434:C 411:L 407:C 396:e 356:R 353:A 324:0 320:e 255:L 251:C 215:0 211:D 206:C 172:D 168:C 134:R 131:A 126:0 122:e 111:2 107:) 101:L 97:C 93:( 87:+ 80:0 76:D 71:C 67:= 62:D 58:C

Index

aspect ratio
coefficient of drag
aircraft lift coefficient
drag coefficient
zero-lift drag coefficient
aircraft lift coefficient
circumference-to-diameter ratio
aspect ratio
lifting-line theory
Lift-induced drag
Lifting-line theory


ISBN
1-56347-829-3
ISBN
0-07-126318-7
http://calteches.library.caltech.edu/3961/1/Obituaries.pdf
Stub icon
stub
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Categories
Aerospace engineering
Aircraft wing design
Engineering stubs

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