Problem 6.105 - Problem 6.105 [Difficulty: 2] Given: Stream...

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Problem 6.105 [Difficulty: 2] Given: Stream function Find: Velocity field; Show flow is irrotational; Velocity potential Solution: Basic equations: Incompressibility because ψ exists u y ψ = v x ψ = u x φ = v y φ = Irrotationality x v y u 0 = ψ xy , ()x 5 10 x 3 y 2 5x y 4 + = uxy , () y ψ , = , ( ) 20 x y 3 20 x 3 y = vxy , x ψ , = , ( ) 30 x 2 y 2 4 5y 4 = x , y , 0 = Hence flow is IRROTATIONAL Hence u x φ = so φ , x ,
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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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