Problem 5.83

# Problem 5.83 - Problem 5.83 Given Find[Difficulty 2 Flow...

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(a) An expression for the stream function (b) Circulation about the curve shown (c) Plot several streamlines (including the stagnation streamline) in first quadrant Problem 5.83 [Difficulty: 2] Given: Flow field represented by a velocity function. Find: Solution: We will apply the definition of circulation to the given velocity field. s d V Governing Equation: (Definition of circulation) Assumptions: Steady flow From the definition of the stream function: u y ψ ψ y u df x () y Ay B x A 2 y 2 By fx In addition, v x ψ ψ x v d gy x Ax d A 2 x 2 Comparing the two stream functions: A 2 y 2 A 2 x 2 Thus, A 2 x 2 C Taking C = 0: ψ A 2 y 2 x 2  da cd bc ab s d V s d V s d V s d V

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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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Problem 5.83 - Problem 5.83 Given Find[Difficulty 2 Flow...

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