Problem 6.2 - Problem 6.2 [Difficulty: 2] Given: Velocity...

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Problem 6.2 [Difficulty: 2] Given: Velocity field Find: Acceleration of particle and pressure gradient at (2,2) Solution: Basic equations Given data A1 1 s = B3 1 s = x2 m = y2 m = ρ 999 kg m 3 = For this flow uxy , ()A x By + = vxy , ()B x Ay = a x u x u v y u + = Ax + () x + Bx y + + = a x A 2 B 2 + x = a y u x v v y v + = + x y + = a y A 2 B 2 + y = Hence at (2,2) a x 19 + 1 s 2 × m = a x 20 m s = a y + 1 s 2 × m = a y 20 m s = aa x 2 a y 2 + = θ atan a y a x = a 28.28 m s = θ 45 deg = For the pressure gradient x p ρ g x ρ a x
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