Expecting a) should be a parabolic function, and b) around 2.2m

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 u = 40/[2-(y/H)], where Ho = 10-3 Ns/m. A pitot tube is placed at x = -0.5 m and y =H/4, and a static pressure tap is placed at x = +0.5 m and y = H. Both probes fill with water. (a.) Solve for the velocity distribution (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. H- I oh Up