Integrating Equation of Gradually Varied Flow
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Volume 127, Issue 7
Abstract
This paper presents an improvement in the direct method originally proposed by Chow for integrating the equation of gradually varied flow in prismatic channels. The hydraulic parameters assumed to be constants at all depths by Chow are introduced in the integration as variable parameters. The differential equation of gradually varied flow is integrated, considering the effect of variable parameters. The results obtained by this improved method compare well with the results of the numerical method. The advantage of this method over the existing method is that acceptable accuracy is obtained in only one step for a wide range of cases.
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References
1.
Chow, V. T. ( 1955). “Integrating the equation of gradually varied flow.” Proceedings Paper 838, ASCE, New York, 81, 838-1–838-32.
2.
Chow, V. T. ( 1959). Open-channel hydraulics, McGraw-Hill, New York.
3.
Chow, V. T. (1981). “Hydraulic exponents.”J. Hydr. Div., ASCE, 107(11), 1489–1499.
4.
Gill, M. A. (1976). “Exact solution of gradually varied flow.”J. Hydr. Div., ASCE, 102(9), 1353–1364.
5.
Prasad, R. (1970). “Numerical Method of Computing flow profiles.”J. Hydr. Div., ASCE, 96(1), 75–86.
6.
Zaghloul, N. A. ( 1998). “Hydraulic exponents M and N for gravity flow pipes.” Advances in Water Resour., 21(3), 185–191.
Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 127 • Issue 7 • July 2001
Pages: 624 - 625
History
Received: Sep 27, 1999
Published online: Jul 1, 2001
Published in print: Jul 2001
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