Problem 5.26 - Problem*5.26 Given Velocity field...

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Problem *5.26 [Difficulty: 3] Given: Velocity field Find: Stream function ψ Solution: Basic equations: x ρ u () y ρ v z ρ w t ρ 0 u y ψ v x ψ Assumptions: Incompressible flow Flow in x-y plane Hence x u y v 0 or x 2y 2x 1 [] y xx 1 2 0 Hence u2 y 1 y ψ ψ xy y 1 d y 2 y 2 fx and vx x1 2 x ψ ψ x 2 d x 3 3 x 2 2 y 2 gy ( Comparing these x 3 3 x 2 2 and () y 2 The stream function is ψ y 2
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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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