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ASE 362K - Practice Exam 1 Solutions

ASE 362K - Practice Exam 1 Solutions - EXAM 1 Fall 2009 ASE...

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Unformatted text preview: EXAM 1 Fall 2009 ASE 362K Problem 1. (5 pts) Consider the flow shown. The shock is stationary (sits at a fixed location). A Pitot probe is traversed along the line shown. Sketch how the Pitot pressure varies along the line. We (5‘ 4 MM 3 new! slim in PP“ ' ~9th (”P W ym be ac} all mam Wmmwmvmmmwwnwwwomemm--wwwaw~w=mmmm Problem 2. (20 pts) Consider the steady flow of air through the engine shown. The engine is on a test stand and is fed by a pipe that is isolated from the engine by a flexible bellows (a streamwise force cannot be applied through the bellows). Determine the magnitude and direction of the force on the test stand. The flow in the nozzle is adiabatic but not isentropic. A r” “W" "“ A; i , , P2=1 atm ‘ . W » 1000K t1 bellows COM-WW3 5kg} Pm 401313” V; 1". 0/3g 301‘ if? = (lmnm) /L 2. 1 ’L Ulla-T filo‘llti ' fl‘l‘fp '01 U1 J «A. Tiff“ W u in Q ~ we == l" ' m whom . N, #012755?) / ,UI ‘ "‘ Piqlal =3 (by, ’Zflé‘ojflm ‘ Problem 3. (20 pts) A flow of air is accelerated in a nozzle from 10 m/s to 200 m/s. Heat Is added in such a way as to make the process isothermal. Note: This is not a Rayleigh flow problem because the flow Is not 1D. m=1 kg/s u1= 10 m/s __ “P 3' $132 atm U2 =2oo m/s 1—300 K P2=1 atm (i) Determine the rate of heat addition (in Watts). (ii) What is the rate of entropy production (in J/K/s) as the flow goes from state 1 to 2. Problem 4. (20 pts) We want to model a scramjet engine as a 1D flow with heat addition. The incoming flow' Is supersonic and the heat added by combustion Is treated as heat addition by conduction as shown. 1 02 I @* M1=3 T1=1000 K —‘> -—l> q (i) How much heat per unit mass must be added to thermally choke the flow (i.e., drive the exit of the combustor, state 2, sonic)? Ignore the effect of the Pitot probe. (ii) The Pitot—static probe reads the pressures: Ppit=3.1 atm, Pstafic=0.5 atm. How much heat was added between station 1 and the location of the Pitot—static probe? - 1M: 1W - oil< (L) fol/1 an ! 0,7S‘7 .— 25/ 7t. 1370, 1 1-» (WK) :425314 0 ' f" 0M q” 722-7) tramp/WW ) , PM _ V01 39““ (Li); H 0V (1+ @449. L] WWW/IQ, yo 7:. V? Q WW5. law MP: 2 l W0 «,— ”AK 7/01: 7/01 Tbjfol 3(077L})@6fm§1( h) 33 ...
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