Direct Integration of the Equation of Gradually Varied Flow
Publication: Journal of Irrigation and Drainage Engineering
Volume 130, Issue 1
Abstract
The steady flow in open channels, when the depth of the flow varies gradually with distance, is governed by the classic gradually-varied-flow equation. The solution of this ordinary differential equation allows the tracing of the longitudinal profiles of the water surface of the flow. In this note, a relation obtained by direct integration is proposed for a wide rectangular channel, when Manning’s formula is used for the computation of the energy slope. Then the profiles for subcritical and supercritical flow in a mild and steep channel are presented and a comparison with the Bresse solution, relative to the same channels, is carried out.
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References
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Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 130 • Issue 1 • February 2004
Pages: 88 - 91
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Sep 3, 2002
Accepted: Jun 10, 2003
Published online: Jan 16, 2004
Published in print: Feb 2004
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