6. (20 pts.) Consider the steady, viscous, fully developed, incompressible flow between two infinite plates moving with different velocities in the x direction. Problem 6. (a) (12 pts.) Starting from the full incompressible Navier-Stokes Equations, determine the velocity profile of the fluid, u(y), when the pressure gradient (dp/dx) is constant. State all of your assumptions and boundary conditions and show how those assumptions apply to the terms in the equations. (b) (4 pts.) If the pressure gradient is 5.0Pa/m, the distance between the plates is 0.2 m, and the dynamic viscosity of the fluid is 1.0103Ns/m2, what is the velocity at y=0.75h when the lower plate is moving at V1=20m/s and the upper plate is moving at V2=100m/s ? (c) (4 pts.) And, what is the shear stress acting on the bottom plate (y=0)