A 1/40 scale model is to be used in a towing tank to study the water motion near the bottom of a shallow channel as a large barge passes over . Assume that the model is operated in accordance with the Froude number criteria for dynamic similitude. The prototype barge moves at a typical speed of 13 knots. (a) At what speed (in ft/s) should the model be towed?
(b) Near the bottom of the model channel a small particle is found to move 0.12 ft in one second so that the fluid velocity at that point is approximately 0.12 ft/s. Determine the velocity at the corresponding point in the prototype channel.