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

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Mechanical Engineering

In a two-dimensional vortex flow, the fluid flows in circularpaths around the center of the vortex. The magnitude of thevelocity decreases with distance from the center. The streamfunction for a two-dimensional vortex centered at the origin isψ=ln sqrt(x^2+y^2) where the x--y plane is horizontal and x and yare in meters. Show that continuity of the flow is satisfied anddetermine the magnitude of the horizontal velocity at A, wherex=−0.2m, y=0.4m. Express your answer in m/s to three significantfigures

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