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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