Celerity and Amplification of Supercritical Surface Waves
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 9
Abstract
The amplification of supercritical waves in steep channels is examined analytically using a one-dimensional dynamic solution of the Saint-Venant equations. Existing methods were modified to describe the amplification of surface waves over a normalized channel length rather than over a single wavelength. The results are strikingly different, and a generalized graph shows that short waves amplify the most over a fixed channel length. The maximum amplification parameter over a normalized channel length is 0.53 when . Applications to the flood drainage channel F1 in Las Vegas indicate that the amplitude of waves shorter than 100 m would increase by 65% over a channel length of 543 m. These theoretical results await field verification. Supercritical waves could be dampened by increasing channel roughness to reduce the Froude number below 1.5.
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Acknowledgments
This research project was completed by N. Friesen at Colorado State University in collaboration with the University of Arizona and the Desert Research Institute. Funding has been provided through the Cooperative Research Agreement between the U.S. Army Corps of Engineers and the Desert Research Institute under Grant No. UNSPECIFIEDDACW42-03-0-0003. The writers are grateful to Mr. Gale Fraser at the Clark County Regional Flood Control District for providing field information.UNSPECIFIED
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Information
Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 9 • September 2010
Pages: 656 - 661
Copyright
© 2010 ASCE.
History
Received: Sep 3, 2008
Accepted: Mar 10, 2010
Published online: Mar 12, 2010
Published in print: Sep 2010
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