Direct Solution to Problems of Open-Channel Transitions: Rectangular Channels
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VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 4
Abstract
The specific energy equation has many applications in rectangular open-channel flow problems. The existing methods of solving this equation are as follows: trial-and-error solution, graphical solution, and design tables prepared from the specific energy equation expressed in dimensionless form. No direct solutions are available in the technical literature for this equation to date because it was presumed that finding roots of this equation requires a series of substitutions. In this technical note, the writer develops an analytical solution for transitions located in rectangular open channels: (1) to avoid the inconvenience in available solutions; (2) to derive a less time consuming method; and (3) to achieve more accurate results than those as a result of using existing methods.
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Acknowledgements
The writer gratefully acknowledges the editor, associate editor, and reviewers for their valuable comments, suggestions, and revisions in the preparation of this technical note.
References
Heading, J. (1970). Mathematical methods in science and engineering, 2nd Ed., Edward Arnold, London, 36, 40.
Henderson, F. M. (1966). Open channel flow, McMillan, New York, 44, 58.
Ranga Raju, K. G. (1993). Flow through open channels, 2nd Ed., Tata McGraw-Hill, New Delhi, India, 107.
Subhash, C. J. (2001). Open-channel flow, 1st Ed., Wiley, New York, 98, 101.
Subramanya, K. (1986). Flow in open channels, 1st Ed. revised, Tata McGraw-Hill, New Delhi, India, 51, 55, 58.
Vittal N. (1978). “Direct solution to problems of open channel transitions.” J. Hydr. Div., 104(11), 1488.
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© 2008 ASCE.
History
Received: Jan 17, 2007
Accepted: Jan 10, 2008
Published online: Aug 1, 2008
Published in print: Aug 2008
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