b = const у An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as is shown in the

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b = const у An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as is shown in the figure below. The bottom and top plates move in the same directions with constant velocities, U and 2U, respectively. The pressure gradient in the x-direction 2U is constant, and the only body force is due to the fluid weight (a) Use the Navier-Stokes equations to derive an expression for the velocity distribution between the др plates. Assume laminar flow dx X (b) Determine an expression for the flowrate passing between the plates (for a unit width) U (c) Determine the magnitude of the shearing stress acting on the bottom plate, when b = 1 cm, ap u = 2 = 40.3= 0.2% M