Two infi nite plates a distance h apart are parallel to the xz plane with the upper

Chapter 6, Problem p6.37

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Two infi nite plates a distance h apart are parallel to the xz plane with the upper plate moving at speed V, as in Fig. P6.37. There is a fl uid of viscosity and constant pressure between the plates. Neglecting gravity and assuming incompressible turbulent fl ow u(y) between the plates, use the logarithmic law and appropriate boundary conditions to derive a formula for dimensionless wall shear stress versus dimensionless plate velocity. Sketch a typical shape of the profi le u(y). P6.37 x y V h Fixed u

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