A thin layer of liquid, draining from an inclined plane, as in the figure, will have a laminar velocity profile u = Uo (2y/h − y2/h2), where Uo is the surface velocity. If the plane has width b into the paper,
(a) Determine the volume rate of flow of the film.
(b) Suppose that h = 0.5 in and the flow rate per foot of channel width is 1.25 gal/min.
Estimate Uo in ft/s.