Steady shallow flow over a spillway

A simple derivation of recent shallow-flow equations with bed curvature is presented. These equations are applied to steady flow over a high overflow spillway crest, to obtain the head–discharge relationship and the crest-pressure distribution in good agreement with experiment. It is inferred that the equations are valid for quite large negative curvature. On the other hand, their application to steady flow over a spillway toe indicates their validity for positive curvature is more limited.