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Problem 2.4 - dy y B A dx x ⋅ = Integrating ln y B A ln x...

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Problem 2.4 [Difficulty: 1] Given: Velocity field Find: Equation for streamlines 0 1 2 3 4 5 1 2 3 4 5 C = 1 C = 2 C = 3 C = 4 Streamline Plots x (m) y (m) Solution: For streamlines v u dy dx = Bx y 2 Ax 2 y = By Ax = So, separating variables
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Unformatted text preview: dy y B A dx x ⋅ = Integrating ln y ( ) B A ln x ( ) ⋅ c + = 1 2 − ln x ( ) ⋅ c + = The solution is y C x = The plot can be easily done in Excel ....
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