Problem 4.59 - Problem 4.59 [Difficulty: 3 ] y 2h x CS...

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Problem 4.59 [Difficulty: 3] CS x c y 2 h d Given: Data on flow at inlet and outlet of channel Find: Ratio of outlet to inlet momentum flux Solution: = A x dA V u r ρ mf Basic equation: Momentum flux in x direction at a section Assumptions: 1) Steady flow 2) Incompressible flow Evaluating at 1 and 2 mf x1 U ρ U 2 h () w = mf x1 2 ρ w U 2 h = Hence mf x2 h h y ρ u 2 w d = ρ w u max 2 h h y 1 y h 2 2 d = ρ w u max 2 h h y 12 y h 2 y h 4 + d = mf x2 ρ w u max 2 2h 4 3 h 2 5 h + = ρ w u max 2 16 15 h = Then the ratio of momentum fluxes is mf x2 mf x1 16 15
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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