Consider a Couette flow with a pressure gradient. A plate, located a distance H above a solid wall, is moving with a velocity Ue. Furthermore, a constant pressure gradient dp/dx is imposed in the x direction. It can be assumed that the plate and the wall extend to infinity. Assume steady incompressible flow of a Newtonian fluid with a constant viscosity and determine: (a) The velocity profile in the fluid, and (b) The value of the pressure gradient for which the shear stress on the wall is equal to zero.