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Characteristic velocity

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745: 131:. Specific impulse and effective exhaust velocity are dependent on the nozzle design unlike the characteristic velocity, explaining why C-star is an important value when comparing different propulsion system efficiencies. c* can be useful when comparing actual combustion performance to theoretical performance in order to determine how completely chemical energy release occurred. This is known as 517: 344: 206: 129: 512:{\displaystyle c^{*}={\frac {I_{sp}g_{0}}{C_{F}}}={\frac {c}{C_{F}}}={\sqrt {{\frac {RT_{c}}{\gamma }}{\Bigl (}{\frac {\gamma +1}{2}}{\Bigr )}^{\frac {\gamma +1}{\gamma -1}}}}} 332: 652: 711: 608: 579: 546: 297: 264: 235: 54: 678: 630: 782: 145: 811: 87: 806: 775: 816: 756: 308: 637: 73: 768: 689: 586: 557: 524: 275: 242: 213: 65: 32: 8: 655: 663: 615: 801: 69: 549: 81: 19:
This article is about rocketry. For the algebraic structure in mathematics, see
752: 335: 795: 61: 681: 57: 20: 267: 300: 744: 80:, which is the effective exhaust velocity related to the 692: 666: 640: 618: 589: 560: 527: 347: 311: 278: 245: 216: 148: 90: 35: 581:
is the gravitational acceleration at sea-level (m/s)
201:{\displaystyle c^{*}={\frac {p_{c}A_{t}}{\dot {m}}}} 705: 672: 646: 624: 602: 573: 540: 511: 326: 291: 258: 229: 200: 123: 48: 475: 449: 793: 735:9th Edition by George P. Sutton, Oscar Biblarz 729:7th Edition by George P. Sutton, Oscar Biblarz 68:performance, and is used to compare different 776: 783: 769: 237:is the characteristic velocity (m/s, ft/s) 124:{\displaystyle I_{s}={\frac {c}{g_{0}}}} 632:is the effective exhaust velocity (m/s) 794: 739: 13: 14: 828: 76:. c* should not be confused with 743: 56:, or C-star is a measure of the 713:is the chamber temperature (K) 1: 720: 16:Measure of rocket performance 755:. You can help Knowledge by 338:of the engine (kg/s, slug/s) 7: 751:This rocketry article is a 733:Rocket Propulsion Elements, 727:Rocket Propulsion Elements, 10: 833: 738: 327:{\displaystyle {\dot {m}}} 138: 18: 610:is the thrust coefficient 684:per unit weight (J/kg-K) 647:{\displaystyle \gamma } 27:Characteristic velocity 707: 674: 648: 626: 604: 575: 542: 513: 328: 293: 260: 231: 202: 125: 50: 812:Aerospace engineering 708: 706:{\displaystyle T_{c}} 675: 658:for the exhaust gases 649: 627: 605: 603:{\displaystyle C_{F}} 576: 574:{\displaystyle g_{0}} 543: 541:{\displaystyle I_{s}} 514: 329: 303:of the throat (m, in) 294: 292:{\displaystyle A_{t}} 261: 259:{\displaystyle p_{c}} 232: 230:{\displaystyle c^{*}} 203: 126: 51: 49:{\displaystyle c^{*}} 690: 664: 638: 616: 587: 558: 525: 345: 309: 276: 243: 214: 146: 88: 33: 656:specific heat ratio 703: 670: 644: 622: 600: 571: 538: 509: 324: 289: 256: 227: 198: 121: 74:propulsion systems 46: 807:Rocket propulsion 764: 763: 673:{\displaystyle R} 625:{\displaystyle c} 507: 504: 470: 445: 418: 398: 321: 196: 194: 119: 60:performance of a 824: 785: 778: 771: 747: 740: 712: 710: 709: 704: 702: 701: 679: 677: 676: 671: 653: 651: 650: 645: 631: 629: 628: 623: 609: 607: 606: 601: 599: 598: 580: 578: 577: 572: 570: 569: 550:specific impulse 547: 545: 544: 539: 537: 536: 518: 516: 515: 510: 508: 506: 505: 503: 492: 481: 479: 478: 471: 466: 455: 453: 452: 446: 441: 440: 439: 426: 424: 419: 417: 416: 404: 399: 397: 396: 387: 386: 385: 376: 375: 362: 357: 356: 333: 331: 330: 325: 323: 322: 314: 298: 296: 295: 290: 288: 287: 265: 263: 262: 257: 255: 254: 236: 234: 233: 228: 226: 225: 207: 205: 204: 199: 197: 195: 187: 185: 184: 183: 174: 173: 163: 158: 157: 130: 128: 127: 122: 120: 118: 117: 105: 100: 99: 82:specific impulse 55: 53: 52: 47: 45: 44: 832: 831: 827: 826: 825: 823: 822: 821: 792: 791: 790: 789: 723: 717: 697: 693: 691: 688: 687: 665: 662: 661: 639: 636: 635: 617: 614: 613: 594: 590: 588: 585: 584: 565: 561: 559: 556: 555: 532: 528: 526: 523: 522: 493: 482: 480: 474: 473: 472: 456: 454: 448: 447: 435: 431: 427: 425: 423: 412: 408: 403: 392: 388: 381: 377: 368: 364: 363: 361: 352: 348: 346: 343: 342: 313: 312: 310: 307: 306: 283: 279: 277: 274: 273: 266:is the chamber 250: 246: 244: 241: 240: 221: 217: 215: 212: 211: 186: 179: 175: 169: 165: 164: 162: 153: 149: 147: 144: 143: 141: 113: 109: 104: 95: 91: 89: 86: 85: 64:independent of 40: 36: 34: 31: 30: 24: 17: 12: 11: 5: 830: 820: 819: 817:Rocketry stubs 814: 809: 804: 788: 787: 780: 773: 765: 762: 761: 748: 737: 736: 730: 722: 719: 715: 714: 700: 696: 685: 669: 659: 643: 633: 621: 611: 597: 593: 582: 568: 564: 553: 535: 531: 502: 499: 496: 491: 488: 485: 477: 469: 465: 462: 459: 451: 444: 438: 434: 430: 422: 415: 411: 407: 402: 395: 391: 384: 380: 374: 371: 367: 360: 355: 351: 340: 339: 336:mass flow rate 320: 317: 304: 286: 282: 271: 253: 249: 238: 224: 220: 193: 190: 182: 178: 172: 168: 161: 156: 152: 140: 137: 116: 112: 108: 103: 98: 94: 43: 39: 15: 9: 6: 4: 3: 2: 829: 818: 815: 813: 810: 808: 805: 803: 800: 799: 797: 786: 781: 779: 774: 772: 767: 766: 760: 758: 754: 749: 746: 742: 741: 734: 731: 728: 725: 724: 718: 698: 694: 686: 683: 667: 660: 657: 641: 634: 619: 612: 595: 591: 583: 566: 562: 554: 551: 533: 529: 521: 520: 519: 500: 497: 494: 489: 486: 483: 467: 463: 460: 457: 442: 436: 432: 428: 420: 413: 409: 405: 400: 393: 389: 382: 378: 372: 369: 365: 358: 353: 349: 337: 318: 315: 305: 302: 284: 280: 272: 269: 251: 247: 239: 222: 218: 210: 209: 208: 191: 188: 180: 176: 170: 166: 159: 154: 150: 136: 134: 133:c*-efficiency 114: 110: 106: 101: 96: 92: 83: 79: 75: 71: 67: 63: 62:rocket engine 59: 41: 37: 28: 22: 757:expanding it 750: 732: 726: 716: 682:gas constant 341: 142: 132: 77: 26: 25: 70:propellants 796:Categories 721:References 58:combustion 21:C* algebra 642:γ 498:− 495:γ 484:γ 458:γ 443:γ 354:∗ 319:˙ 270:(Pa, psi) 223:∗ 192:˙ 155:∗ 42:∗ 802:Rocketry 268:pressure 680:is the 654:is the 548:is the 334:is the 299:is the 139:Formula 66:nozzle 753:stub 301:area 84:by: 72:and 552:(s) 29:or 798:: 135:. 784:e 777:t 770:v 759:. 699:c 695:T 668:R 620:c 596:F 592:C 567:0 563:g 534:s 530:I 501:1 490:1 487:+ 476:) 468:2 464:1 461:+ 450:( 437:c 433:T 429:R 421:= 414:F 410:C 406:c 401:= 394:F 390:C 383:0 379:g 373:p 370:s 366:I 359:= 350:c 316:m 285:t 281:A 252:c 248:p 219:c 189:m 181:t 177:A 171:c 167:p 160:= 151:c 115:0 111:g 107:c 102:= 97:s 93:I 78:c 38:c 23:.

Index

C* algebra
combustion
rocket engine
nozzle
propellants
propulsion systems
specific impulse
pressure
area
mass flow rate
specific impulse
specific heat ratio
gas constant
Stub icon
stub
expanding it
v
t
e
Categories
Rocketry
Rocket propulsion
Aerospace engineering
Rocketry stubs

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