Problem 5.92

# Problem 5.92 - Problem 5.92[Difficulty 3 Given Find Linear...

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Problem 5.92 [Difficulty: 3] Given: Linear approximation for velocity profile in laminar boundary layer Find: (a) Express rotation, find maximum (b) Express angular deformation, locate maximum (c) Express linear deformation, locate maximum (d) Express shear force per unit volume, locate maximum 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 k y U y y x y U x y x y U y U z y x k j i ˆ 4 2 1 0 4 ˆ ˆ ˆ 2 1 The rotation is: Computing the partial derivatives: ω z 1 2 1 4 3 2 Uy 2 cx 5 2 1 2 U cx 1 2 1 2 3 8 Uy 2 cx 5 2 U cx 1 2 U 2c x 1 2 1 3 8 y x 2 ω

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Problem 5.92 - Problem 5.92[Difficulty 3 Given Find Linear...

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