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Problem 5.80 - Problem 5.80[Difficulty 2 Given Find Flow...

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(a) Show that this represents an incompressible velocity field (b) the rotation of the flow (c) Plot several streamlines in the upper half plane Problem 5.80 [Difficulty: 2] Given: Flow field represented by a stream function. Find: Solution: We will apply the definition of rotation to the given velocity field. V 2 1 Governing Equation: (Definition of rotation) Assumptions: (1) Steady flow (2) Incompressible flow From the definition of the stream function: u y ψ A x 2 A y v x ψ A y Applying the continuity equation:
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