A velocity field is represented by the expression (vec{V}=(A x-B)) (hat{i}+C y hat{j}+D t hat{k}) where (A=0.2

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A velocity field is represented by the expression \(\vec{V}=(A x-B)\) \(\hat{i}+C y \hat{j}+D t \hat{k}\) where \(A=0.2 \mathrm{~s}^{-1}, B=0.6 \mathrm{~m} \cdot \mathrm{s}^{-1}, D=5 \mathrm{~m} \cdot \mathrm{s}^{-2}\) and the coordinates are measured in meters. Determine the proper value for \(C\) if the flow field is to be incompressible. Calculate the acceleration of a fluid particle located at point \((x, y)=(3,2)\). Plot a few flow streamlines in the \(x y\) plane.

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Related Book For  book-img-for-question

Fox And McDonald's Introduction To Fluid Mechanics

ISBN: 9781118912652

9th Edition

Authors: Philip J. Pritchard, John W. Mitchell

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