Rainwater is flowing at a steady rate down a street having an incline of 40° with the horizontal. A scrap of paper on the surface of the water moves at a rate of U = 1.5 ft/s. The street is 20 ft wide, and the water depth is h = 0.3 in. Estimate the flow rate of rainwater for the following water velocity profiles. The y-coordinate is normal to the solid surface, with y = 0 is at the solid surface, and y = h at the free surface of the flow. a) u = U; b) u = Uy/h; U ( 2 / - 2/¹ ) c) u = U

Rainwater is flowing at a steady rate down a street having an incline of 40° with the horizontal. A scrap of paper on the surface of the water moves at a rate of U = 1.5 ft/s. The street is 20 ft wide, and the water depth is h = 0.3 in. Estimate the flow rate of rainwater for the following water velocity profiles. The y-coordinate is normal to the solid surface, with y = 0 is at the solid surface, and y = h at the free surface of the flow. a) u = U; b) u = Uy/h; U ( 2 / - 2/¹ ) c) u = U