7.) Consider the fully developed flow of water between horizontal plates separated by a gap of width H = (0.1 m. There is no pressure gradient but the bottom plate moves right with speed Up. The lower plate is heated causing the viscosity to vary as g = uo/[2 (v/H)], where up = 1073 N - s/m?. A pitot tube is placed atx = -0.5 m and y = H/4, and a static pressure tap is placed at x = +0.5 m and v = H. Both probes fill with water. (a.) Solve for the velocity distribution u(y). (b.) If the height difference between the two pressure manometers is Ah = 0.1 m, then what is the numerical value of Up (m/s)? (c.) Find the power per unit area required to move the bottom plate at the Up found in part (b.). See Figure