Channel Bed Slope Effect on the Height of Gravity Waves Produced by a Sudden Downstream Discharge Stoppage
Authors: Leonardo P. Chamorro [email protected] and Fernando Porté-Agel [email protected]Author Affiliations
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 5
Abstract
We derive a simple analytical correction of a well-known standard formulation of the gravity wave height produced in a prismatic channel due to a sudden discharge stoppage at the downstream end of the channel. The proposed analytical correction considers the vertical growth of the wave and, as a result, takes into account the effect of the channel bed slope on the wave height. This simple correction is useful to be considered in preliminary designs of relatively long channels subject to unsteady flow conditions.
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Acknowledgments
We thank Professor Dennis Lyn for his helpful comments. They have helped to improve the quality of the technical note.
References
Chaudhry, M. H. (1993). Open-channel flow, Prentice-Hall, Englewood Cliffs, N.J.
Chow, V. T. (1959). Open-channel hydraulics, McGraw Hill, New York.
De Marchi, G. (1948). Nozioni di idraulica, Ediz. Agricole, Bologne, p. 150.
Keulegan, G. H. (1950). “Wave motion,” Engineering Hydraulics, H. Rouse, ed., Wiley, New York, Chap. 11, 711–768.
Robertson, J. A., and Crowe, C. T. (1990). Engineering fluid mechanics, 4th Ed., Houghton Mifflin, Boston.
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© 2010 ASCE.
History
Received: Nov 3, 2008
Accepted: Oct 14, 2009
Published online: Nov 9, 2009
Published in print: May 2010
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Dept. of Civil Engineering, St. Anthony Falls Laboratory, Univ. of Minnesota, 2 Third Ave. SE, Minneapolis, MN 55414. E-mail: [email protected]
Dept. of Civil Engineering, St. Anthony Falls Laboratory, Univ. of Minnesota, 2 Third Ave. SE, Minneapolis, MN 55414 (corresponding author). E-mail: [email protected]
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