HW 12 - ASE 362K Assignment No 12 Thursday April 11 2008 1...

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Unformatted text preview: ASE 362K, Assignment No 12 Thursday, April 11: 2008 1) A normal shock wave with a pressure ratio of 4.5 propagates into still air (P1=1 atm. T,=15°c)‘ (i) what is the velocity of the air behind the shock relative to the shock, (ii) the velocity of the air behind the shock relative to the unfortunate fellow in the chair, (iii) the stagnation pressure of the air behind the shockwave? 2) A blunt-nosed model is installed in the /fiAFHRMM driven section of a shock tube [as sketched in (i)]. The driven gas, which MINER QECTIOM (m‘au P) is air, is initially at a temperature and pressure of 300°K and 0.1 atmospheres respectively. After the diaphragm breaks, an incident shock wave propagates into the driven section. The BROKEN / W0 DENT ,/ piAmRAéM . SROCK shock has a pressure ratio Pz/Pl = 40.4. i; Bow What is the pressure and temperature at SHOCK \ the model nose shortly afier the shock sweeps past the model. [This is sketched in (ii)... 3) A piston in a tube is suddenly accelerated to a speed of 50 m/s which causes a normal shock to form. The shock gm“ R51 propagates into air which is at rest (fig. 1). A short while later the piston is again suddenly accelerated from 50 to 100 m/s causing a second shock to form Sim“; Sivan and move down the tube (fig. 2). Given that the initial air temperature is 300K, calculate the ___._’ - I. W4. Aw) \4 ’— 300K speeds of the two shock waves. Comment on your answer. ‘6ng HS 7: o 3 TL I l + (‘1)C-0162fy'; = = P2 C W ('3) (“016031; “ "The Iva-Q'C/(‘e—w‘“ s‘wocL Preamp? rake: l5- R—O'H- , Table A2 a») 8.5 Ms‘ 53‘ a M1: o~L{—05_3 \z/T‘z ;.?oq T2 0.424 P; C We ‘avfe/al-we wd ‘cmsswee. Eelagal, “we wx'ca'devl‘ shod/t 0.5 L} «awe.» down “Va 5- .AOCJFL ‘ru 5<> M T— -— <?'?O‘f><’>°°> fr 231$° H P2. 1 <Hlo~w> v’ al‘mogetfim; 50 Speed :suMcJ‘fiow D 01r— qa; aLeod c5 i‘ne Mada“ SLC . .4 '. «’I = Z: "‘9(7-%'+>C%°°> 34L '- 34?».15 we! spud 08 Sounzflvaz 9 a?“ 0.9; Lefmh-J! he Quota-P ELr. V =LQ~L+)(z%?->(zuz>3 -—-— °l6Lr ML; VMOC-t‘f‘b H’xQ made“? shook wcwa : W: H50. fisqz‘ : (5'0‘>(3”’?’> 7' 20%? wJS- D We V€‘0c;"\:\>+ Hue $05 lofLm'd Hse \ Maooh mane; FE— Hn-e WM (3 (W—ur / WMMM Hag we "EOCAQFWVLS 06va HQ “Wm/‘0‘ (SBJ’L uJCUJQ ?ro Perk-1'95 (as " Fabulan w' table A 27> -Jnold fix $0.8 vetoc‘fl‘fles reian E H~€ shock wane) WA WMQH‘U Wfi Shot/’71. IS. mav 0N” _ SEFIW'm‘S)‘ flak V V . .4 \IQJ‘P‘C-(x' \\ 0'? “‘Q $0M “nod-ave We SLochL vow .1}.- Gina .%l\‘)Qv\ M191 71W.) W’UP =— H101 W .0“ ME) :- V\/~ M2017. 1 20%; — (O~l«t-o§>coléi+> . ‘— (65?- N/sec Nouf U P LS- HP: 9 a] £3 ioc ang— fig 39,; (e ‘a'r 94.2 g.) ‘- _!" 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Q.) ‘4; SHQEL V We NC H“ «HuM Speed wok we. w.‘.>L F? (calm/{042 he W S/CCO‘L 94’ a harmed skock we. \nM F2. : Y1 1 (\6’4" H12. 2: Va (yq‘yhl +1 what ’1 Chad 1L .are MIA WA A‘J “‘4 SL‘OC‘L. Far 0“ .9wa am he LLOC‘LJ V4 = \N,‘ md VJL =-. W4—-qM (1—? all EX/aaaabua (My: - (WW — 0-sz +2 aha‘ qlz 0111 X l?- +Wt *‘ Xumwl —‘ UMWt :_ X -— W“;- chub. wJ rm" C. D “m ' - 5'0 M/J , X W < 1- 4.. A : “‘1‘ q)( 50) _ <2 ‘1' — f .2>2 : got 3%?“6‘ .. \N,l M 34am: 1 ~05. {a m 5(ng Skock .~. 9“ a +0“ cl a \anJ m M km M M: J MA 97., a.- cLsu-uu-ov. Hm NM- _, He Sccohévl Skocl.‘ PFCPQBOEJ ox 3‘.) WL-‘OL I‘D-.5 Lit. \Drwad HR, £{m‘r‘ Skoc‘z. M51 = fl« 2 37'8": 2. "cam 01} 3‘92 gov a NS 00' a HQCL # 361‘qu E {'osc' T: T 0+ SL‘OCL a; (309Cl-03‘fi) ‘* gpeed :5 Smo‘K %> a; bum-4 JLock .; [(l-«g(2g;>(3.;.9>3"z '—‘— 357-18 H.15- {wht “can! uncuue heecflv (>. Vz (x-Dm‘hz. \nckfi; Q‘Jo LML hm) V‘ —_ W1-—S'o “a V; = Wl—(oo “a H. : (W1—§°>/3S?-18’ summmmfi u; @ wz—so —_ (2%)(Wk-S‘OZ W,.-\oo (353L255): #@ 7. W2 ~50 = z-LqCWrgo) x __Er_____...————— Wx“ '00 C k @‘kXWl-SoY-t- 1K ( 21-va wz— eta)z (cw-bow1 — $2»)?- r‘z. K m0 = (2 ~‘r2CWl— 5‘0} wl—«oo (0“r>(w1~§o)‘ +1h' |I - N d m E y! ‘9 \/ (CD-ongz—scbz +244 ; z'H-(WI‘SO>(W.L‘|OO> O‘HF'CWJL— (cow; 4- 1goo> +DJ’C = 2 ~1§ONL+ 5000) 1.0w: — @.or></§ow,_>+ H—owl + (1000 -Ioao —1H— 1 o 2-0w17- - EZOWL “la-#333713 = o Wz2 - MowL -‘7~10l‘1—°1 =o W; = I60 ‘1’— JCI-60‘);‘C‘f>(’1>C-’l12)w°\> 1 Soil 35K~ ‘1 H'gq'v‘h- .. Skocks Nets-c Y r—eM'qu. 91!.)0 Nag: m“ (Oman m- WWLB Wr:\3-:> MM= 90’2pr p. abo wok So\vt §w P1IP\ F: Sc? 1R: H?“ m ...
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