Ae311_fall_2011_hw_2_soln - Prof Daniel J Bodony AE311 Fall...

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Unformatted text preview: Prof. Daniel J. Bodony AE311 , Fall 2011 HW #2 Due 5 pm Friday, September 16, in the AE311 dropbox Problem 1 Consider the steady flow of a water jet impinging on a stationary vane as shown below. Determine the force required to hold the vane in place. Assume the jet follows the surface of the vane in a smooth manner and has the same shape and area at the exit so that the pressure in the fluid is the same as the ambient pressure. Problem 2 Consider the same vane as in Problem 2 now in uniform motion along the x—direcrion with speed Vv which is less than V}. Find the force necessary to keep the vane moving at a constant velocity, that is, to prevent it from accelerating. L-— ‘- #3 —|\- Control surface Fluid velocities are t F: moving at velocity V” F relative to vane v Problem 3 A jet engine is being tested statically on a test stand. The inlet velocity is 152.4 m/s and the exhaust gases leave at a velocity of 1066.8 m/s. The air at the inlet and the exhaust gases at the exit are at atmospheric pressure. The fuel—to-air ratio is 1/50 and the inlet and exhaust areas are both 2 ftz. The density of air entering is 1.236 kg/m3. Determine the force required to hold the jet'engine stationary. AE '3“ W2 _ A WM/% F / 13>“: of do ‘é— U7, 3° :1; p Ea ’45:”. A S); ‘3 1‘le +—eoU—ozl4 + fl +1 :FK 0 Pad 1:.“ WWW Po) £61033); he 9/ 0 HUI/0 475 g5“ L(v\U;{¢3,+f6,40\z‘ M WWW/‘4th O O I , W COWS 5% * Mm Vb‘) S10 § 6) i ea‘fi Gas 3 o a kafltt. {5&3 fit? (-uofi' flfls a) + L QM’MS '3‘) ‘Q'S :0 *\ lemma" 5? ‘4 L - . Va 0 W a f: 44 WW War-Va}le EW+ Bub-#34351 do ,3 » Mum “mots vk) sa’) +£4.qu «(n A wygs =03; L 51%]?er {paga.as-a1ats=—fm+ -/4<E zu 7W7. $6144 // 1: Lawn + vzwcg 13.3 (XIV, 7.1 q I “Pkg mu ,Por 1' : [Ev/(mfi‘flfi'a) ‘ WC *YJZS UNIS N L_/,_,___‘\~_/ 5%: u 134% M [WL mam WM 5W ,1: M 5+; ex, “2 (1’30 NC) won a 1111:7th be qflddw {‘er J‘Mfl) (Mal So, 1M (9W é; obknwu, .24?le 00-7, ml {—0 W 5V4.wa .3 39m é” I‘Fw“ Wad Mew“ or gm Que. / “717’ a {‘flmeAs +2 (m 015 51 5 go) "1 wk Ammm 12c “rt: 2 £st Vat: 272337“? {36: [0097 £31 E: 0’00}! Mix FfiJ T. t i) T 6 _ , r A" ‘. 9 “Acre ' ' I ' '.’ , l 'r I H53"? Wm“ c/____, W1. ...
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