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ASE_362K_Assignment_6_Solutions

# ASE_362K_Assignment_6_Solutions - ASE 362K2 Assignment No 6...

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Unformatted text preview: ASE 362K2 Assignment No 6 Thursday: March 1, 2007 1) This question was from the closed book portion of a mid-semester exam. Try doing it Without looking at your notes or the book. Two shocks of different strengths intersect as shown opposite. Which of the following do you agree with or disagree with. If you agree, say so, if you don't explain why not. 20 P04 = P04“, P4 = P4', T4 at T4' b) V4 at V4: T02 = T03, M4 = M4' c) V4 at V4‘, P4 = P4', T4 ¢T4', M4 :1: M4' d) 94 e 942 S4 at 84'. P4 = P4‘ 2) Consider the intersection of two shocks of opposite families, as sketched below. For M 1 = 3, P} = 1 atm, 62 = 20 °and 63=J 5 °calculate the pressure in regions 4 and 4' and the ﬂow direction (I) behind the refracted shocks. Horizontal 3) Show that if two points in the flow have the same static pressure and the same stagnation temperature but different stagnation pressures (for example, across a slip-dine), the velocities are related by the expression 2 y—l V —_ .. 2) ..._ 1 - P01 7 1 y—l M 2 V— P‘ --— .......__ 1 P02 2 1 I] 0*) pat—r i Pow (Wow P6P OVA/104 boHow Pant; T’Lrau. Ls b) H»:- # HM" (same moor/w on 0| lam) ‘ gov 9132.0 Mag amoﬁ M113) If; '— 33‘6oc’ Mm 7' Hyﬂwhfg ‘~'— {'53—}- owao" [71]}7’ —_-. 2-3171 Hm = °60K3 HL=sz/SM(/%‘c9> -— I‘m—f (“93‘5” 0M0“! M»: 9 [2:32 2%” Han, ~— Hpmﬁ “:- {500 Qua—.04 lngP; — Z'S’Z Mhl '- O'éégl HLJHnL/\$vn(fg (9) ".7. 22?th Fav- Ho—e upslvgoam 6m \$1M B3 re tax/{2. (Hgnl'ﬁqﬁ we, \nm 9 SWDDM-é saw-.6- valvuﬂ @Lf'l' 1g 911-: an. PH" [102 lat-7F} 8=02ﬂ94ri 3'0 0 4-0 l 3'??? lo 3'3”?“ '1“ 1-100 L219 Lf'éoi‘ #6 23-32 ‘3 1-200: [-532 gem; l2 L+J~631 12. «326 [”386 3%;er 8 q—g-gg :6 l-Lffg 2-305" @6201 L!“ 52-63. 2° [-606 18%; ro-‘+§ o 26 o I O I O 2'82: ”If 60! HS’ Lt [no [2-70 38%”! ’11 3% 03 8’ I ZZ°1 I 5‘16 L;— 30,3. #9. 1} 0: ti 13.3”} (-01%; i 5°19“ ’3 Lbs; '6 I cm; 2- Hi 6H’J’ r bra-h” 20 (w: 231% g-Lm- 6 £1.60! M Hm 155/6 :o-Lﬁa’ ‘7 Nam FLA] ﬂow AE’H’eCLZ—h 9923M; FWJDMQ Fall-IE: Fov \‘ke Mal/731' 04nd pm EM). (move? Pressure-Deflection Plot [\3 01 N O _x (51 _.\. O 0'1 O 1 01 L O U} OJ 'U V (U 4.: C O N 'E O I O 4.: C O 1: U a.) E G.) D B .2 LI. Pressure ratio SO‘m‘rxo-m 1;: Where ngznuﬁt) Iv; 1‘? \Ov‘; H‘ M94 [4'] we Same [Wm can»: mDACD/F) LC a» V‘ b‘ﬂm L; d9 . 3m 05 __ _____ Slip Ind-E 77:1?- ﬁz PI 1 P2. Paui P92. gun-ea 1.4.3. T;(‘+k:lh,'>=r‘I—Z lfr:§h;j '2— 2. + Ya: “.2 (D '71": :7" I+\6_:s hit 1. 7/? Emu—53 E01,“. .+:. : 7. ac- £4,24- ZCrTl '-'- 0“” u"!1 + 29.2 , ‘6’! .q‘ ”21 + 212-11 ”[2 LY’I)“;1 [30' ‘6’- I+Y_: mi (N) '2 7;! '70. 3' ; q—EC 61 an?" L7. + 111 Z. uzz-i- ZCFT}. (41.2 + zqzz‘ 3"" -.-_ t + 7. 0.3 ‘5’: .7- ov- Gav-Baku qua-ab D Sudan-a W‘en-I— Ch“; 1:- mt-v-c (“'5» wand-ed Lu." doe; my van ewv‘b‘k 2:1}. Meckub , MI?“ 72,: T.(Hx_:1 m2) ~_H @ 2 7:22 ; T2(!+Yf__‘ I71L _— G) Z ._ ___ \r‘ Swim. 01‘— oz E z ‘4' "if-7:1 ~—[email protected] Tn \+—\54 ”at ":2, K/-, R:-— P1<I+Y:{ hi1) if 2. ‘67 , P53 ” PL<I+3P:I’721>\‘\ Z 1;“‘1 Pr:- Lajﬁy HM}; In>zc+xg§ hf) [email protected] WSHEJL-ll-uP-M5 “15 o-E— @ “J; demcwqgat; ¢£® T2. —» (+ \6‘:( [712 I {: Tl PM W; “l 7 P01 Kg: -— 2:. I7;2 __ (Pol) Y (hf, ‘2; > < [90) 1| ...
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ASE_362K_Assignment_6_Solutions - ASE 362K2 Assignment No 6...

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