Problem 4.60 - Problem 4.60 Given: Data on flow at inlet...

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Problem 4.60 [Difficulty: 3] Given: Data on flow at inlet and outlet of pipe 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 π R 2 () = mf x1 ρπ U 2 R 2 = Hence mf x2 0 R r ρ u 2 2 π r d = 2 ρ π u max 2 0 R r r1 r R 2 2 d = 2 ρ π u max 2 0 R y r2 r 3 R 2 r 5 R 4 + d = mf x2 2 ρ π u max 2 R 2 2 R 2 2 R 2 6 + = u max 2 R 2 3 = Then the ratio of momentum fluxes is mf x2 mf x1 1 3 ρ π u max
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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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