Homework 8 Solution Manual

# Homework 8 Solution Manual - Homework 8 Solution Manual A 5...

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Homework 8 Solution Manual A) 5 points Figure 1 As can be seen in Fig.1, if less than 40 panels are used, the maximum velocity (and velocity at maximum thickness) depends on number of panels used. The maximum velocity is highest when seven panels are used and oscillates slightly between seven and 40 panels. After 40 panels, the maximum velocity remains constant at approximately 1.15. Therefore all computations should be done with at least 40 panels. Matlab code for this part is presented in Fig2 and 3. i = 0; for N = 1:100 i = i+1; mid = int16(N/4+1) S = ellipse_examp (N) Smax(i) = max (S) Smid(i) = S(mid) end

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plot (1:100, Smax) title ( 'Max Velocity vs Number of Panels' ) xlabel( 'Number of Panels' ) ylabel( 'Max Velocity' ) Figure 2. MATLAB CODE for part A function [Speed] = ellipse_examp (N) % example % % flow over an ellipse ep = .15; % thickness/chord of ellipse %N=50; th=linspace(0,2*pi,N+1); x=-cos(th); y=ep*sin(th); NOTHING ELSE WAS CHANGED IN THE PROVIDED CODE Figure 3: Ellipse code turned into a function. No real changes were made to the ellipse code.
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Homework 8 Solution Manual - Homework 8 Solution Manual A 5...

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