Problem 2.5 - Problem 2.5 [Difficulty: 2] Given: Velocity...

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Problem 2.5 [Difficulty: 2] Given: Velocity field Find: Equation for streamlines; Plot several in the first quadrant, including one that passes through point (0,0) Solution: Governing equation: For streamlines v u dy dx = Assumption: 2D flow 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) Hence v u dy dx = Ay Ax = y x = So, separating variables dy y dx x = Integrating ln y ( )
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