ASE_362K_Assignment_11_Solutions

ASE_362K_Assignment_11_Solutions - ASE 362K Assignment N0...

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Unformatted text preview: ASE 362K, Assignment N0 11 Thursday: April 12, 2007 1) Calculate the lift coefﬁcient and the drag coefﬁcient for the diamond airfoil shown below (ﬁgure la). The Mach number is 3.0 and the angle of attack is 10 degrees. Do it by assuming shocks and expansions as shown in ﬁgure 1b. This will take a fair amount of work but is good practice in terms of calculating ﬂow changes across shocks and through expansions (as well as testing your trigonometric skills). Later in this class we will obtain an algebraic equation (from thin airfoil theory) that simply relates lift coefﬁcient to Mach number and angle of attack and would allow you to calculate the lift coefﬁcient in 10 seconds or less. This would be called an approximate solution whereas what you are doing here is the exact solution. You will then be able to check how well thin airfoil theory stacks up against the exact solution. @ On “Me WPPU SMFOL Haul) L> QXFWo/I Hal—ab at con‘ered‘ 6’):th You -— I+°l-?S?-3° P-M 9mm. u; u“ .M @ ,3 may“: Vlzwoua- a : H-°l-?S9-3° 1—5" -=. SHE-353%" M We Jaluuz, :3 “we Wotan“; we [6»; ® 0' V... r- V14: 2A = €H‘“?“\$?3+-to~o = 61+ \$59? Row. KB“ (w [4.13er (almkqm> we can, Ml : 3-2.}3I awe! Mar ._ 19.133 chr-(Z: > POE) (\L: (7°; (3:9,) ”- (O'Otgz>C4>< 4/0‘02?1.> 7- 0‘66?6 it? 2-. C Ej- 3 \___ ( k 000 L9“ Po+ (, ::m> :60) A O o O ‘P \w/ (-\ .3 K/ T \ 0 e. N “P C/ H O '26 9(1 F—{M WCW €xfgaw‘d‘g “Amusk an PXPW¢xw kn». V. - 334%? J 313 =V.+Zb = Lr2~1+33° amok m qu1+ H3 is 2.67%» E: :(Es>(ﬁ3>(83} (Pogo [7w - 1903 I70) Pow) 7;“ t. (O mfg-11> (/1) (O’KﬁSo>C1/O~OC?Z> “-’- [WI-607}- co§ (W 19— Rf Wi>CNCMj~A> ZCQSO (.0315 Mud H-{PBVZS amﬁi O’hUjOUMé L5 hoe Won-901m . skﬁh‘c Pr'eSJ‘MQ L43)“:> We. mew P011753 (M. “W {0” r3304 .> mm tit-[O W01 A :50 ' L. 2 Boa PEEL O‘cfsésot (99(0‘10162) 4.]: wag: WOW-3016145 [066% 0301762 [(2)60 wz) G—DWC’M?) ’1: 01681 00165“! (mow) L. :_ [“6311‘5 Poo C CL. 1 1_ ~.—. L Lgmwac EPWHOEC 2 2. -= I gut-S = 0 22-29% ® I ( 56 + ‘ D é:aﬁ-r-D> OIMS:>§ Ana: (ﬁ— D A 0.5 c c. /1 P31» [5 C > 6:»; (ca—15> ...
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