test1 solution

# test1 solution - Test 1 Solution Problem 1(30 pts(1(2(4...

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Unformatted text preview: Test 1 Solution Problem 1 (30 pts) (1) (2) (4 pts) (4 pts) (4 pts) (2 pts) (2 pts) (4 pts) (6 pts) (4 pts) Equation of Continuity ( 29 ( 29 ( 29 = ∂ ∂ + ∂ ∂ + ∂ ∂ + ∂ ∂ z y x u z u y u x t ρ ρ ρ ρ y y y y y z y y y x y g y P z u y u x u z u u y u u x u u t u ρ μ ρ + ∂ ∂- ∂ ∂ + ∂ ∂ + ∂ ∂ = ∂ ∂ + ∂ ∂ + ∂ ∂ + ∂ ∂ 2 2 2 2 2 2 steady state u x = 0 u z = 0 ( 29 y u u y y ≠ ⇒ assume A x >> h (neglect edge effect) ( 29 z u u y y ≠ ⇒ ( 29 x u u y y = ⇒ y-momentum balance steady state unidirectional flow ( 29 y u u y y ≠ ( 29 z u u y y ≠ no g y Problem 2 (40 pts) state y P dx u d y ∂ ∂ = ⇒ 2 2 μ integration gives B Ax x y P u y + + ∂ ∂ = ⇒ 2 2 1 μ (valid for both fluids) for fluid 1 1 1 2 1 1 2 1 B x A x y P u y + + ∂ ∂ = μ symmetry 1 = ⇒ A at , 1 = ± = y u h x 2 1 1 2 1 h y P B...
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test1 solution - Test 1 Solution Problem 1(30 pts(1(2(4...

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