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Problem 5.9 - Problem 5.9[Difficulty 2 Given x component of...

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Problem 5.9 [Difficulty: 2] Given: x component of velocity Find: y component for incompressible flow; Valid for unsteady? How many y components? Solution: Basic equation: x ρ u ( ) y ρ v ( ) z ρ w ( ) t ρ 0 Assumption: Incompressible flow; flow in x-y plane Hence x u y v 0 or y v x u x A e x b cos y b A b e x b cos y b Integrating v x y ( ) y A b e x b cos y b d
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