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Aersp_312_Homework_No_3_vd (1)

Aersp_312_Homework_No_3_vd (1) - F G and UUe from =0...

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Please use Excel, Matlab or a code of your choice HW3 Aersp 312 Homework No. 3 Boundary Layer w/Pressure Gradient Assigned: Feb. 15, 2010 D.K. McLaughlin Due: Feb. 26, 2010 5:00PM Following the development in class determine expressions for the coefficients a to e in the assumed velocity profile = ( ) UUe f η all as a function of the pressure gradient parameter Λ. (a) Parameterize the equation for the velocity profile in terms of the universal functions F(η) and G(η) where = + ( ) UUe Fη Λ G η Determine F and G and plot all three functions:
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Unformatted text preview: , F η Gη and UUe from η =0 to η =1 for the following values of Λ Λ = 7.052 , Λ = 0 , Λ = -12 Extra credit – explain why there is no term ( ) η 2 in F ( ) (b) Show that expressions for δ* , ѳ and τ w can be developed resulting in : * δ δ = - , 310 Λ120 = ( - -θδ 163 375 Λ15 ) Λ2144 and = + τw δμUe 2 Λ6 What are the values of w and C f at Λ = -12 ? Note Work on Part (c) will be postponed for now. //home/vdimitrov/15002/47ab2e2491a9c191fdad828bbd5c9604a7a6d558.docx...
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