Problem 2.10 - Problem 2.10 [Difficulty: 2] Given: Velocity...

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Problem 2.10 [Difficulty: 2] Given: Velocity field Find: Equation for streamline through (1,3) Solution: For streamlines v u dy dx = A y x 2 A x = y x = So, separating variables dy y dx x = Integrating ln y ( ) ln x () c + = The solution is yC x = which is the equation of a straight line. For the streamline through point (1,3) 3C 1 = C3 = and y3 x = For a particle u p dx dt = A x = or xdx
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