Abstract
This paper presents the derivation of an analytical method for identifying the stability of uniform flow in three open channel sections (rectangular, parabolic, and circular). Using a dimensionless relative slope factor, a general equation for the prediction of stability thresholds for the occurrence of roll waves for each cross-section shape was developed, enabling the flow stability zones to be classified. The derivation is predicated based on a combination of the Vedernikov number and the logarithmic law of resistance, which involves significant resistance parameters. The proposed method was verified using a numerical example and actual measurements. It is hoped that the presented method, which provides a direct solution for the stability criteria of uniform flow, will be useful in open channel design.
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Data Availability Statement
All data, model, and code generated or used during the study appear in the published article.
Acknowledgments
The authors are grateful to two anonymous reviewers for their thorough and most helpful comments. The support provided by the General Directorate for Scientific Research and Technological Development, Algeria, is acknowledged.
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Journal of Irrigation and Drainage Engineering
Volume 146 • Issue 11 • November 2020
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© 2020 American Society of Civil Engineers.
History
Received: Feb 22, 2020
Accepted: Jul 10, 2020
Published online: Sep 7, 2020
Published in print: Nov 1, 2020
Discussion open until: Feb 7, 2021
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