Problem 5.25 - Problem *5.25 [Difficulty: 2] Given:...

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Problem *5.25 [Difficulty: 2] i h y U V ˆ Given: Velocity field for viscometric flow of Example 5.7: Find: (a) Stream function (b) Locate streamline that divides flow rate equally Solution: The flow is incompressible, so the stream function may be derived x v y u Governing Equations: (Definition of stream function) Integrating the velocity will result in the stream function: ψ y u df x () y U y h x Uy 2 2h fx Let ψ = 0 at y = 0, so f(x) = 0: ψ 2 The stream function is a maximum value at y = h:
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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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