Problem 5.62 - Problem 5.62 Given Find[Difficulty 3 Sinusoidal profile for two-dimensional boundary layer(a x and y-components of acceleration of a

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Problem 5.62 [Difficulty: 3] Given: Sinusoidal profile for two-dimensional boundary layer Find: (Eqn. 3) Solution: We will apply the acceleration definition. Governing Equation: (Particle acceleration) Assumptions: (1) Two-dimensional flow (velocity is not a function of z) (2) Incompressible flow (3) Steady flow y V v x V u a p Based on the above assumptions the particle acceleration reduces to: To make this easier, define η : η π 2 y δ η xy () y η π 2 δ δ cx 1 2 x δ d d 1 2 c x 1 2 δ 2x x η δ η x δ d d π y 2 δ 2 δ π 4x y δ The velocities and derivatives are: u U sin η x u η u x η U cos η π y δ U η cos η (Eqn. 1) y u η u y η U cos η π 2 δ U π 2 δ
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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 5.62 - Problem 5.62 Given Find[Difficulty 3 Sinusoidal profile for two-dimensional boundary layer(a x and y-components of acceleration of a

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