Simple shear flow between parallel plates. Consider the flow of an incompressible Newtonian fluid between parallel plates, such as that depicted in Fig. 2.6-2(c). The top plate (located at y = b)moves in the positive x direction with speed v0, and the bottom plate (located at y = 0) remains at rest. The dimensions of the plates in the x and z directions aremuch larger than b, and thus, we postulate that at steady state vx = vx(y) and vy = vz = 0. Gravity acts in the ?y direction.
(a) Using a shell x momentum balance, obtain the following expressions for the viscous momentum-flux and velocity distributions: 
(b) Obtain an expression for the volumetric rate of flow.
(c) Repeat the problem for the case where the upper plate is fixed and the lower plate is moving in the +x direction with a speed v0.
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