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quiz-solution5 - cos 2 Quiz No 5 The coefcients in the...

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650:460 Aerodynamics Quiz No. 5 - Solution Prof. Doyle Knight Tel: 732 445 4464, Email: [email protected] OFce hours: Tues and Thur, 4:30 pm - 6:00 pm and by appointment ±all 2009 1
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Quiz No. 5 A two-dimensional airfoil has a camber line deFned by z c = ε p x c Pp 1 - x c P for 0 x c where ε = 0 . 1 is a dimensionless constant. ±ind an expression for the center of pressure x cp / c . See lecture notes for deFnite integrals. Solution The slope of the camber line is d ( z / c ) d ( x / c ) = ε b 1 - 2 p x c PB = ε
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Unformatted text preview: cos 2 Quiz No. 5 The coefcients in the Fourier series or the vorticity are A o = -1 i o dz dx d = A 1 = 2 i o dz dx cos d = 2 i o cos 2 d = A 2 = 2 i o dz dx cos 2 d = 0 using i o cos m cos n d = 2 i m = n and zero otherwise 3 Quiz No. 5 Thus x cp c = 1 4 p 2 A o + 2 A 1-A 2 2 A o + A 1 P = 1 4 p 2 + 2 2 + P 4...
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