HW 11 - ASE 362K, Assignment No 11 Thursday: April 3, 2008...

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Unformatted text preview: ASE 362K, Assignment No 11 Thursday: April 3, 2008 A c-d nozzle has an exit area of 0.5m2 and a throat area of 0.25mi P0 = 1 atmosphere and the exit static pressure = PC = 0.6 atmospheres. With this pressure ratio the flow downstream of the throat is supersonic over a certain distance and then terminates in a normal shock. Where is the shock wave? - Give itsposition in terms of A/A* The term "nozzle efficiency" is used primarily in turbine design where it is important to estimate , I ' accurately the average velocity Po Ve leaving the nozzle passage. Tia " Pe a I I I Consider a nozzle supplied with o I gas at low velocity and at pressure P" and To. The gas expands adiabatically, but with increasing entropy to state 'e'. If it had expanded without friction to the same final pressure, the end state would have been '8'. If nozzle efficiency 11 is defined as the ratio of the actual kinetic energy at the exit to the kinetic energy which would have been obtained in a frictionless nozzle expanding the gas to the same final pressure show that 7_-l 2 n: y—lVe2 1_ i 7 2 00 Po A question from the 1994 Final: The c-d nozzle shown is operated by lowering the back pressure Pb. The area ratio Ae/A‘ is 1.687. Calculate the mass flow when the normal shock wave is at a position in the nozzle given by ASHOCK/At = 1.343. The throat area is Zemz. On—e PO>>1‘>‘)s‘—:> ‘3' 3M5) 0| \ld/(w as (W "Md" (">539 «MA we 51- # 3n"; H“ ML: ‘6059- Tfiélfa’ '3 0'94): GP:— P9 ‘3' 0'6 0L“. 5:. M gnu-L- 3N >3 m‘ We um.“ «\f‘ed L: A new vat/(M (cIcw LE 8x4?) - ié: he“! 3 6N 33(3 5km Emim . AIM“ ML Pale A/A’; Ac/Mz N: Palm Fe Ni “35>” '63’6 l-zq (~30; '51 l- 2oz $54 Hc 569 ‘6K3 mu. m}; 'lnr \- m -S‘2$‘1 3‘; 1-1? ziirgo‘t-SN 901 mu Mm 4p, mm «W 60Lev5 at a, L (A = Dru” " “*3 “0% AM 7—} HE/Un)?’ Anon) a? ex}? = \/ez (wk—ere V9 8 n01 2. mam webdeZS we ck Hes-t) "953’ ‘ CL‘O‘N‘L" M WC 6X”— C (ow Ovhalamrrc H‘ We amplswc enbvkyb ea):- Lfi-nywea.s We C97; = CPTC HZ UL <42 = C19 72-72) As sow a.) Hm leach («Tum I; SHHfdem‘vkE ION I; %‘¢‘e H: {L O‘- h‘; (’kr—aaF ) ‘hne Men)»: flex»: IJ- +I>‘?o(~ No Mel-qu ace-m.) a.) Pb LS (owes-eel. 1;) ’- log—2x10“r :39 06?? 4-00 13'? a. Iii-9;; (006qu (045?er —’ O‘o‘f-o‘l- H3/5. ...
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This note was uploaded on 02/14/2012 for the course ASE 362K taught by Professor Dolling,d during the Spring '07 term at University of Texas at Austin.

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HW 11 - ASE 362K, Assignment No 11 Thursday: April 3, 2008...

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