Problem 6.109 - Problem 6.109 Given: Velocity potential...

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Problem 6.109 [Difficulty: 2] Given: Velocity potential Find: Show flow is incompressible; Stream function Solution: Basic equations: Irrotationality because φ exists u y ψ = v x ψ = u x φ = v y φ = Incompressibility x u y v + 0 = We have φ xy , ()A x 2 Bx y + Ay 2 = uxy , () x φ , = , 2 A x By = vxy , y φ , = , ()2 A y = Hence x , y , + 0 = Hence flow is INCOMPRESSIBLE Hence u y ψ = so ψ , y , df x + = 2 A x y 1
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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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