HW8solution

HW8solution - AAE 334 Fall 2011 Homework 8 SOLUTION Due...

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Unformatted text preview: AAE 334, Fall 2011, Homework 8 SOLUTION Due Monday, September 12 at the beginning of class. 1. Show mathematically the effects of scaling airfoil camber on lift coefficient, quarter-chord moment coefficient, and center of pressure at the same angle of attack? That is, if one airfoil has camber of ( ) x z c and another has camber of where a is a positive constant, how do the lift coefficients, quarter- chord moment coefficients, and centers of pressure compare? Call the results for the first airfoil , , and . ( ) x z a c 1 , l c 1 , 4 / mc c 1 , cp x 2. Similarly, what if you add together two cambers, ( ) ( ) x z x z c c 2 1 + which individually have performance or characteristics , , 1 , l c 1 , 4 / mc c 1 , L α , , , , 1 , cp x 2 , l c 2 , 4 / mc c 2 , L α , and . Show what can you determine regarding the new values of , , 2 , cp x l c 4 / mc c L α , and ? cp x Note: in recent years some students would assume a function for ( ) x z c and demonstrate the effects of one specific case. This falls far short of the goal here – proving the impact of changes for all camber lines. Thus you are to work with the unknown and very general ( ) x z c , not one example of ( ) x z c...
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HW8solution - AAE 334 Fall 2011 Homework 8 SOLUTION Due...

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