lec6 - VIZ/1‘ ()4); A“ set-mas can beenth de, .fm‘w,...

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Unformatted text preview: VIZ/1‘ ()4); A“ set-mas can beenth de, .fm‘w, Hum-ml - . ,SMOLL ~3 Q .7 ‘Rmu/mr Ru_.§m§o* as 0.6”; , 8‘" Vt, L“ ‘5- - 1 p .3; .. WE, _ “Qua-mug... 7 Vin}; \T-br’ v.1 '91, '1’, ., Ire-t U"r -_ my] Pr M 7, ,_ . . (7.354, = ( YtL;P., *3, ‘C—L. QM, m n &X_t.(_2$_H)['P3/fi.,.__ 7 ., v k ,_ i A5,, “Wu um , A; ,, {mm W; > I.V:{F_QL.\L:?Ix-.£ss'unx;\; if- - .7: . J . .irvifii, ._ , Naomi .,,.V\W\iu4\; 4 Kay‘s“ ,7 Raga.“ a 7 0.57 rmHosmw’ro, smmkvm . .mrwfifics; r namrmenprgmwskz _. ,, , _‘ nukes “3.4". 1 r ‘ ‘ ' f gm i ,. V' .——_. vs ,V ,,_,_,.V,me-.,s;r\ - [$1. a . ' as» Q‘Q‘E,I,;¢,>»L;\L.n _, ’ 7'0"? WW'A‘Qfi‘MflA mixedols‘ramx r V > > 7 ' $149 shag Q); Mu Fix H‘urmo&vbmmic. 5W + \idiecikc: Aowns‘rmm.. Tubman; rm In 9.” \“=l.4 (sum as. 7.14) ,p'chV‘mKSL—‘i _ Min .. (3-0841; 1—; ’AFLgr 0L\q.\o\r~o\ [m “.3143, _ ' 2‘6 M3“ ~ Lac—t) * Infl' HIM. '. Sm . shock.‘ (weak Shocks W...\ [M xx 1 .3» Min >5 1 " t 1 (‘9’: AN) Min—a 23- ., Ruowtfl cor: quzumm¥ cfiLLn‘m Hy 0L SW shook: m 7 WI: f‘c‘z ‘ $.93 ‘Mm g. _. 5511,, ‘L Mm EX'fP—d‘ ?,_ dm'xnod-e = 12?] :,_Mmig_.,93 =5 'P,_~-Mlnf.c,[co-l 10m! ’ £14 1O 0.1 osE P 2 /P1 P2 /P1 CZ /C1 5 Figure 7.14 Downstream conditions as a function of the shock Mach number for a perfect gas with 'y = 1.40. . , . Lam; a: _, M3“. (—3 , imam mm: mm g A"), (~03. : 10s.}. dud Ar 7 "la ,Tchmxnobcsxww ,, N ,, ._ ,. ,, . -- ‘ 7.901chka .3 .75 . .7 ’Lkhrtllzw‘FX . , ,, . 7 __ >._ .. .. 7 _,_, .. “WWW ..- Him V W34... -CAVAWWKWQA ._ $455M, 7 .mXSo _ . 7, . (asks mm\ shogk >rclou.\\‘ m3 Shock , 7c, .:;_ 15 RT 315 ,— fi * I; ' Ham shock +qu5 (5.2.) .P = 01.5“; 1— = 2.575? p ? (Emma ALSng Odrcr‘oé'F .‘ro a9¢§A mmm\ shocer Obkiqmr Shocks cghokwym H w; Cam; 7, Museums demy. rmE—Mu .W Blind-We ,FMKA mound; ‘61.: Wow: shock. .W‘c . . _ a lemma h: vmu Mu. .Skock WL Hmzocr' ‘ ,7[\:_‘\s,vwxe MWM\_b,u‘.a¢.o,W skogk,.‘(\,_an ////////.«( / (Can we BAA PW”) Appendix D 0.5471 (9.54357 0.54444 0.5431 0.54118 0.54106 0.5393 0.5381 0.5368 0.5356 0.5344 v 0.5332 0.5321 0.5309 0.5297 0.5286 0.5275 0.5264 0.5253 0.5242 0.5231 0.5221 0.5210 0.5200 0.5189 0.5179 0.51619 0.5159 ' 0.5149 0.51410 0.5130 0.5120 0.5111 0.5!02 0.5092 0.5083 0.5074 0.5065 0.5056 0.5047 Data tabies for compressible flow (0.4964 0.4956 0.4849 ' , 0.4941 0.493373 0.459% 0.4913 0.491 1 0.48916 0.4889 0.4882 0.4875 0.4868 0.4861 0.4854 0.4847 0.4840 0.42833 0.4827 693 0.4993 . 0.45820 0.43344 0.44007 0.4%8KM 0.4795 0.4% 0.4782 0.4W716 , 0.47% (0.4764 0.4758 w, “W, _ [s SQQD-U'sm'xc. '3) 51:1? 2. 1 (,u'la,_=,H,3 V M, >, 1 (,M4,‘__=,,M‘.s;nf), Downsh-cawx h“. Inw,m\ MHM Is Bubsm‘m. ,-,(\0u.¥- u; MM 3;. M; be. mi 1- mm, :5 r54“) F: HH(F’9) ' '5‘} > V r . r .7 r W V, r Ust-A‘ M + M; k 7 (fig: = rearranva ,, 731%» J. g 7. 7 M“ Col’fi +WQ . E223 - - ‘7 Cmbsntx “(‘5 W Cl. ' f2: (Mm-— fim\ W9 : \r “a Cal-Fflr__~ ,1} (Ki-INA," “2(Hfs1nlp-1) (flat—a , (smww'mA fm kw D33 . .‘,NoLe‘-. 30. Qka\ r (9‘) is ViAwa-Vugdluné Tr.¢.,,cb§_uen ,_9, MN. curt Eco ,eovalbke. gkock, 3L5 WWI/“chm. .13 mhudfi . Skeet, femur rckahwxs, (qymMr Wa&,. gmekimuyb ' ' vasmxu Ho‘s suLukx-W),_ Lab .9? rak\{g.brrcu1$a w; Lulu Sumfiafifi. km}x ' shes, (and: ,Rné u” = Hun) =5 visgoq'aa. , Mo , V ‘ . I . , saLuh‘m3. 7.5 Oblique shocks Figure 7.20 . Oblique-shock polar diagram for the particular case U1 = M {k = 2, = 1.40. For any given turning angle 6, there are two possible istinc tions, which are conventionally called respectively the weak solutic the strong solution- It..sh0u1d.1?¢, made. clear thahthis nomenclaw - a.” at. Jae «v . A.‘ WWW #rirfiifi MW“, (r. :m‘; _ < A}: aka». c. _ .A "/c, ¥ , ' For 0;. . can 9 I H 0w: {-100 $fluH£NV>r UK) and s ‘. M59. Weak MA laws SaLpLN ms , Hurt ,_ 7 “wank.” MA. “sM” . do $392.1“ erfisQMA {—9 F44, and ,, , ,, . 7 “$51) , 7 _ _ I V x I . n 7 7 -. as : norwvd .,$\mock Luck-e1 u. MA u,1 our: Palm?) . Q A no $?\L.L\\‘Qy\. . > shock humus “FALMk-gmé " 4" ' Mao ’- mach woo»; = '7 VIEW-5 '5 AFSM‘AUL Mw h: o? uf.uéx.\-' \‘t?1\é"M‘nf1CJEWj1 t Which is obumcé wbmficogu‘k7 , 11$- mnsm, \ov’cds Neuter/o 1%, weak sokuLan 'isr //////// x / ' ‘(Ki‘phv damn -—'J ,, M1 = 1.505 cornefimké dMNaHQM £1,995 ,Rddw ., ,,(,dL\‘OL;L2.d, sohn, a; , 0.91., as; rmon" , ml“; ea; )7 "i I 622 Appendix D Data tables fo Table D.3 Oblique Shock in a Perfect Gas (y=1 .40) (Continued) Weak Solutions Strong Solutions M 9' 13' PIP M p P /P M ? 1 degrees-'- degir 2 1 2 2 1 2 3.00 ' 0.0 1.000 3.000 90.00 10.333 0.475 ' 2.0 1.166 2.898 89.30 10.322 0.476 4.0 . 1.352 2.799 88.60 10.327 0.477 ‘g 6.0 1.562 2.701 87.88 10.319 0.480 8.0 1.795 2.603 87.16 10.307 0.484 10.0 2.055 2.505 86.41 10.292 0.489 12.0 . 2.340 2.406 85.64 10.273 0.496 I 14.0 2.654 2.306 84.84 10.248 0.504 3 16.0 2.996 2.204 84.00 10.218 0.514 ‘- 18.0 3.368 2.100 83.11 10.182 0.525 20.0 3.771 1.994 82.15 10.137 0.539 22.0 4.206 1.886 81.11 10.082 0.556 24.0 4.676 1.774 79.96 10.014 0.577 26.0 5.184 1.659 78.65 9.927 0.602 28.0 5.739 1.537 77.13 9.812 0.635 30.0 6.356 1.406 75.24 9.652 0.678 32.0 7.081 1.254 72.65 9.399 0.743 34.0 8.268 1.003 66.75 8.697 0.908 (34.07) 8.492 0.954 65.24 8.492 0.954 3.10 0.0 1.000 3.100 90.00 11.045 0.470 2.0 1.171 2.994 89.32 11.043 0.470 g 4.0 1.364 . 2.891 88.64 11.039 0.472 2 6.0 1.582 2.789 87.95 11.031 0.474 8.0 1.825 2.688 87.24 11.019 0.478 10.0 2.096 2.586 86.52 11.004 0.483 12.0 2.395 2.484 85.78 10.984 0.490 14.0 2.724 2.380 85.00 10.960 0.497 C 16.0 3.083 2.274 84.19 10.930 0.507 18.0 3.474 2.167 83.33 10.894 0.518 20.0 3.897 2.058 82.42 10.850 0.531 22.0 4.354 1.947 81.42 10.795 0.548 24.0 4.847 1.833 80.33 10.728 0.567 26.0 5.379 1.715 79.09 10.644 0.591 28.0 30.0 5.956 1.593 77.67 10.533 0.621 6.592 1.462 75.94 10.383 0.661 f Figures in parentheses. are maximum values. 1 Figures in par ...
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lec6 - VIZ/1‘ ()4); A“ set-mas can beenth de, .fm‘w,...

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