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Weir flows

Published online by Cambridge University Press:  21 April 2006

Jean-Marc Vanden-Broeck  and
Joseph B. Keller
Jean-Marc Vanden-Broeck
Affiliation:
Department of Mathematics and Mathematics Research Center. University of Wisconsin-Madison, Madison, WI 53706, USA
Joseph B. Keller
Affiliation:
Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
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Abstract

The flow of a liquid with a free surface over a weir in a channel is calculated numerically for thin weirs in channels of various depths, and for broad-crested weirs in channels of infinite depth. The results show that the upstream velocity, as well as the entire flow, are determined by the height of the free surface far upstream and by the geometry of the weir and channel, in agreement with observation. The discharge coefficient is computed for a thin weir, and a formula for it is given that applies when the height of the weir is large compared to the height of the upstream free surface above the top of the weir. The coefficients in this formula are close to those found empirically.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 283 - 293
Copyright
© 1987 Cambridge University Press

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References

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