The velocity for a steady, incompressible flow in the (x y) plane is given by (vec{V}=hat{i} A

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The velocity for a steady, incompressible flow in the \(x y\) plane is given by \(\vec{V}=\hat{i} A / x+\hat{j} A y / x^{2}\), where \(A=2 \mathrm{~m}^{2} / \mathrm{s}\), and the coordinates are measured in meters. Obtain an equation for the streamline that passes through the point \((x, y)=(1,3)\). Calculate the time required for a fluid particle to move from \(x=1 \mathrm{~m}\) to \(x=2 \mathrm{~m}\) in this flow field.

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Fox And McDonald's Introduction To Fluid Mechanics

ISBN: 9781118912652

9th Edition

Authors: Philip J. Pritchard, John W. Mitchell

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