# HW 13 - ASE 362K Assignment No 13 Thursday 1 Calculate the...

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Unformatted text preview: ASE 362K, Assignment No 13 Thursday, April 17, 2008 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 We M/qu 5N1ﬁ6£ €10»: L; exam/wad WW3 ox Cw‘é’reo" (Pxfamsx‘w Yoﬁ =- E‘M \v'u/‘He; (0v ermel-v Ca|m\qL;'v-> uue gcv H1: P2. .. (a > ( 99> Eok P‘NL Paco Pan ’— (0-0182) 4/0'02?2.> = o-66?6 t. E“? ><Eo¢> Ea Po‘i' P000 (>00 : (o ‘00}3>C4> Cq/o-azaé 1-2.?31 «M04 H+sZ-¢\a33 \I O '26?! M P)\Poo = 131%. PM») WCV- PXFMOB “Arvugk an PXpOMAQV‘A/‘a ‘4”. V, - 33‘l‘f13° Y3 = \A—rzb = H-ZJ’f-SE“ J amok m How/(«1+ H3 is 2673/0 P 1 P 9» Po. Po :7": v ( F1><Fi> a"? —. (OOH—1,99 (4) (o‘gqgc>C1/o.ozﬁz> “:— LII-607- Hawa We (1ft L M} 351% L : (P‘ 5/; >(05 (ok+b> + Eé>co\$<°<‘® c051) an!) (over) (9 - Pzi/f; >605 (*‘9 - (K22. > (NM—M) C030 Cub MMH‘iva‘g who" 04\\JSO(AM& hae {NY/0K5qu Skew)?“ preSJ‘Me meb Hug, lore/35W POW—I733 «M‘ Hm few- «93% > win o<=lo am A -: 5° L _ Rm w282w) 0615501 (2)059962) +[ Mal—603 10010161 y‘loéﬁﬁ 001%: (2>(0*c(‘762> (790‘7‘76?) vi (9 26% 01965”! @COsWﬁ LK ~ Mwa Poo c CL .__ I. .I L .1. 6003;?- a 1; 42;; M03 c 2 z = { 6314—5“ = 0 299% AM 01%? ,5 3% 56 3" <3f§>smhwb> 1- (P3C/2.> 6n;(¢-/f> co; A Co) A _ (\DLCE%>5M(A_A>— <P¢§D>smb<+b> ...
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HW 13 - ASE 362K Assignment No 13 Thursday 1 Calculate the...

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