Research Article
Jul 1977
End Depth under Zero-Inertia Conditions
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 103, Issue 7
Abstract
The terminal depth and velocity conditions for flow in an open channel ending in a free overfall are investigated under the assumption that inertial effects are everywhere negligible. When inertial terms are retained, as in the Saint-Venant or varied-flow equations, these terminal conditions are both at critical. When not only the inertial terms but the depth-gradient term too is dropped, depth and velocity at the brink of the overfall are at normal. Under the zero-inertia assumption, end depth is found to be zero and the velocity correspondingly infinite. This notion is tested in a series of steady-flow comparisons with results obtained from the varied-flow equation. The results of the zero-inertia assumption lie close to those of the varied-flow equation, when the flow conditions are characterized by low Froude numbers. In application to the problem of discharge from a lake into a channel ending in an overfall, the traditional trial-and-error solution is replaced by a new direct solution read off from a graph.
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Published In
Journal of the Hydraulics Division
Volume 103 • Issue 7 • July 1977
Pages: 699 - 711
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Jul 1977
Published online: Feb 3, 2021
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Authors
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Theodor Strelkoff, M.ASCE
Prof. of Water Sci. and Civ. Engrg., Univ. of California, Davis, Calif.
Nikolaos D. Katopodes, AM.ASCE
Asst. Development Engr., Dept. of Land, Air and Water Resources, Univ. of California, Davis, Calif.
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