For fully developed laminar flow through a parallel-plate channel, the x-momentum equation has the form ?(d2u/dy2) = dp/dx = constant. The purpose of this problem is to develop expressions for the velocity distribution and pressure gradient analogous to those for the circular tube in Section 8.1.
(a) Show that the velocity profile, u(y), is parabolic and of the form u(y) = 3/2um [1