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Aersp_312_Homework_No_3_vb

# Aersp_312_Homework_No_3_vb - HW3 2 Aersp312HomeworkNo.3...

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HW3 2 C:\Users\DKM_Laptop\Documents\DKM TEACHING.10\A 312 SP.10\Homework.10\Aersp 312 Homework No 3 vb.docx 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 ൌ ݂ ሺߟሻ 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 ൌ ܨሺߟሻ ൅ ߉ ܩ ሺߟሻ Determine F and G and plot all three functions: ܨ ሺߟሻ, ܩሺߟሻ ܽ݊݀ 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 ( ߟ ) (b) Show that expressions for δ * , ѳ and τ w can be developed resulting in : כ ଵ଴ ଵଶ଴ , ଺ଷ ଷ଻ ଵହ ଵସସ and

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