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Unformatted text preview: MAE 150A, Winter 2009 J. D. Eldredge Homework 6 (4 problems + 1 OPTIONAL), due Friday, February 27 1. Problem 14.6, Wilcox (14.5, Wilcox 2nd edition) 2. Problem 14.21, Wilcox (14.17, Wilcox 2nd edition) 3. Problem 14.23, Wilcox (14.19, Wilcox 2nd edition) 4. Consider the flow of a viscous incompressible liquid film down a vertical surface, with a free surface exposed to the ambient air, as shown below. Adjacent to the vertical wall, a boundary layer develops, and grows to approach the free surface. ( x ) U(x) u(x,y) y x p Free surface g (a) Accounting for gravity, write down the boundary layer equations for this flow configuration. (b) Show that, since the pressure in the liquid is constant, the freestream velocity in the liquid outside the boundary layer is given by U ( x ) = 2 gx . Assume that U is zero at the top of the film, x = 0. (c) Write down the specific form of the momentum integral equation for this problem, with U ( x ) given above....
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This note was uploaded on 10/09/2009 for the course MAE 150A taught by Professor Eldridge during the Spring '09 term at UCLA.
- Spring '09