Water flows near a flat surface and some measurements of the water velocity, u, parallel to the surface, at different heights, y, above the surface are obtained. At the surface . After an analysis of the data, the lab technician reports that the velocity distribution in the range 0 < y < 0.1 ft is given by the equation u = 0.81 + 9.2y + (4.1 times 10^3 y^3)
With u in ft/s when y is in ft. (a) Do you think that this equation would be valid in any system of units?
Explain. (b) Do you think this equation is correct? Explain.