Consider steady, incompressible, viscous fluid flow between two solid, stationary boundaries that are located at z = 0 and z = L. The geometry of the problem is the semi-infinite cz- plane with r E (-co, co) and z E [0, L]. You are given that the pressure gradient takes the form dp ; VP dx where dp/da > 0 and that gravity is to be neglected. (a) Sketch the configuration, including the axes, the boundaries and the domain occupied by the fluid. (b) Without solving any equations, briefly explain in which direction you might expect the fluid to flow and on which coordinates you might expect the speed of the flow to depend. (c) Assuming that the velocity takes the form u = u(z)i, solve the Navier-Stokes equation to find u( z). (d) Sketch u( z). Also add a few velocity vectors to your configuration sketch in part (a)