1. Consider the case of channel flow where the top plate at y = / is moving at a velocity of U and the bottom plate at y=0 is moving at a velocity . We also impose a pressure gradient in the system. Show that the velocity profile is given by: y(H - y) + + +(+. - to) H and that the volumetric flow rate per unit width of the channel, Q W, is: a He vx())dy = > (to + +.)H + 0 d2p Draw the velocity profile and the shear stress