The flow in the plane two-dimensional channel shown in Figure P6.3 has (x) - and (y)-components of
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The flow in the plane two-dimensional channel shown in Figure P6.3 has \(x\) - and \(y\)-components of velocity given by
\[ \begin{aligned} & u=u_{0}\left(1+\frac{x}{\ell}\right)\left[1-\left(\frac{y}{Y}\right)^{2}\right] \\ & v=u_{0}\left[\frac{y^{3}}{\ell Y_{0}^{2}}\left(1+\frac{x}{\ell}\right)^{2}-\frac{y}{\ell}\right] \end{aligned} \]
Calculate the linear acceleration, rotation, vorticity, rate of volumentric strain, and rate of shear deformation for the flow.
Figure P6.3
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Related Book For
Munson Young And Okiishi's Fundamentals Of Fluid Mechanics
ISBN: 9781119080701
8th Edition
Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein
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