Problem 5.79

# Problem 5.79 - Problem 5.79[Difficulty 2 Given The stream...

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Problem 5.79 [Difficulty: 2] Given: The stream function Find: Whether or not the flow is incompressible; whether or not the flow is irrotational Solution: ψ x y ( ) A 2 π x 2 y 2 The stream function is The velocity components are u x y ( ) y ψ x y ( ) A y π x 2 y 2 2 v x y ( ) x ψ x y ( ) A x π x 2 y 2 2 Because a stream function exists, the flow is: Incompressible Alternatively, we can check with x u y v 0 x u y v 4 A x y π x 2 y 2 3 4 A
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