Problem 5.69 - Problem 5.69 Given Velocity components...

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Problem 5.69 [Difficulty: 2] Given: Velocity components Find: Which flow fields are irrotational Solution: For a 2D field, the irrotationality the test is x v y u 0 a) uxy t () 2 x 2 y 2 vxy t x 3 xy 2 2y  x t 3x 2 y 2 y t Hence x v y u 0 Not irrotational b) t 2 x y x 2 y t 2 x y y 2 x 2 x t 2x y t 1 Hence x v y u 0 Not irrotational c) t x t t x t 2 yt x t t 2 y t 2 Hence x v
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