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In: Mechanical Engineering

In a two-dimensional vortex flow, the fluid flows in circular paths around the center of the...

In a two-dimensional vortex flow, the fluid flows in circular paths around the center of the vortex. The magnitude of the velocity decreases with distance from the center. The stream function for a two-dimensional vortex centered at the origin is ψ=ln sqrt(x^2+y^2) where the x--y plane is horizontal and x and y are in meters. Show that continuity of the flow is satisfied and determine the magnitude of the horizontal velocity at A, where x=−0.2m, y=0.4m. Express your answer in m/s to three significant figures

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samet mamat answered 2 years ago
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