Excerpt from Supercritical Flow in an Overfall
If the acceleration due to gravity is g, if the upstream depth is a and if the velocity there is u, then the flow is said to be critical if e ga/u2 is equal to unity. Our analysis is based on the supposition that e is small so that the upstream velocity (u of the flow is supercritical. Such a flow can prevail in a region of space where g is small compared with a and u. It can obviously also prevail if u is sufficiently large, or if a is so small that the overfall degenerates into a falling sheet.
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