The viscous, incompressible flow between the parallel

Chapter 6, Problem 6.96

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The viscous, incompressible flow between the parallel plates shown in Fig. P6.96 is caused by both the motion of the bottom plate and a pressure gradient, \(\partial p/\partial x\). As noted in Section 6.9.2, an important dimensionless parameter for this type of problem is \(P=-(b^2/2 ~\mu U)(\partial p / \partial x)\) where \(\mu\) is the fluid viscosity. Make a plot of the dimensionless velocity distribution (similar to that shown in Fig. 6.32b) for P = 3. For this case where does the maximum velocity occur?

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