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EAS4101_S11_HW8Q

EAS4101_S11_HW8Q - EAS 4101 Aerodynamics Spring 2011 8th...

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EAS 4101 - Aerodynamics – Spring 2011 HW#8, 1/6 3/16/11, 8 th Homework 1. Given: 2 infinite plates, 2-D slot, with the stationary plate at 0 y and one plate moving at y h with a steady speed Consider that the flow is steady and fully developed. . p const 0 U h x y Find: a) Draw a schematic of this flow, clearly showing your coordinate system and list your assumptions for this problem. b) Simplify the Navier Stokes and continuity equations, clearly stating why each term is eliminated. c) List the boundary conditions for this problem. d) Solve for velocity component normal to the plates. e) Solve for velocity component parallel to the plates. f) Solve for the only non-zero shear stress component in this flow. g) Solve for the only non-zero vorticity component in this flow. 2. Given: 2 infinite plates, 2-D slot, with the both plates stationary at 0 y and at y h . There is a constant axial pressure gradient driving the flow, dp const dx Consider that the flow is steady and fully developed. h x y 1 p 2 p g constant dp dx Find: a) Draw a schematic of this flow, clearly showing your coordinate system and list your assumptions for this problem. b) Simplify the Navier Stokes and continuity equations, clearly stating why each term is eliminated. c) List the boundary conditions for this problem. d) Solve for velocity component normal to the plates. e) Solve for velocity component parallel to the plates. f) Solve for the only non-zero shear stress component in this flow. g) Solve for the only non-zero shear vorticity component in this flow. 3.

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