Problem 6.10 - Problem 6.10 Given: Velocity field Find:...

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Problem 6.10 [Difficulty: 2] Given: Velocity field Find: Expression for pressure field; evaluate at (2,2) Solution: Basic equations Given data A4 1 s = B2 1 s = x2 m = y2 m = ρ 1500 kg m 3 = p 0 200 kPa = For this flow uxy , ()A x By + = vxy , ()B x Ay = Note that x , () y , + 0 = x , y , 0 = Then a x xy , ()u x y , x , , y , + = a x , ()x A 2 B 2 + = a x , 4 0 m s 2 = a y , x y , x , , y , + = a y , ()y A 2 B 2 + = a y , 4 0 m s 2 = The momentum equation becomes x p ρ a x = y p ρ a y = and pd x x p dy y p
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