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# HW 11 - ASE 362K Assignment No 11 Thursday April 3 2008 A...

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

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