Problem 5.7 - Problem 5.7 [Difficulty: 2] Given: y...

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Problem 5.7 [Difficulty: 2] Given: y component of velocity Find: x component for incompressible flow; Simplest x components? Solution: Basic equation: x ρ u () y ρ v z ρ w t ρ 0 Assumptions: Incompressible flow ( ρ is constant) Flow is only in the x-y plane Hence x u y v 0 or x u y v y Ax y x 2 y 2  x 2 y 2 y 2 y Integrating uxy x 3 3x y 2 d 1 4 4 3 2 A x 2
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