Wind blowing across a large body of water imparts momentum to the surface of the water. Assume that the velocity of the water on the surface of, for example Galveston Bay, is equal to 0.03 U where U is the wind velocity. Assuming that the bay has a mean depth of 2 meters, that the viscosity of the entire water column is 10^-2 g/cm-s, and that in the absence of any wind the water is stagnant. Requried:
Derive an equation for the velocity of water in the bay as a function of depth.