LectureExample_6-1

# LectureExample_6-1 - Problem 6.2[2 Given Velocity field...

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Problem 6.2 [2] Given: Velocity field Find: Acceleration of particle and pressure gradient at (0.7,2) Solution: Basic equations For this flow u x y , ( ) A x B y = v x y , ( ) A y = a x u x u v y u + = A x B y ( ) x A x B y ( ) A y ( ) y A x B y ( ) + = a x A 2 x = a y u x v v y v + = A x B y ( ) x A y ( ) A y ( ) y A y ( ) + = a y A 2 y = Hence at (0.7,2) a x 1 s 2 0.7 × m = a x 0.7 m s 2 = a y 1 s 2 2 × m = a y 2 m s 2 = a a x 2 a y 2 + = θ atan a y a x = a 2.12 m s 2 = θ 70.7 deg = For the pressure gradient
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