TECHNICAL NOTES
Mar 1, 1985

Equations for Plane, Moderately Curved Open Channel Flows

Publication: Journal of Hydraulic Engineering
Volume 111, Issue 3

Abstract

Plane flow with moderately curved and involved bounding streamlines is investigated by accounting for the transverse variations of the velocities. The result is a highly nonlinear version of the corresponding Boussinesg relation (valid only for weakly curved and sloped stream lines). Applications include the computation of the cnoidal and solitary wave profiles and indicate a clear advantage of the present formulation over previous ones.

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References

1.
Abbott, M. B., Rodenhuis, G. S., “A Numerical Simulation of the Undular Hydraulic Jump,” Journal of Hydraulic Research, Vol. 10, 1972, pp. 239–257,
Vol. 12, 1974, pp. 141–157.
2.
Dressler, R. F., “New Non‐Linear Shallow Flow Equations with Curvature,” Journal of Hydraulic Research, Vol. 16, 1978, pp. 205–220.
3.
Fenton, J., “A Ninth‐Order Solution for the Solitary Wave,” Journal of Fluid Mechanics, Vol. 53, Part 2, 1972, pp. 257–271.
4.
Hager, W. H., Hutter, K., “Approximate Treatment of Plane Channel Flow,” Acta Mechanica, Vol. 51, 1984, pp. 31–48.
5.
Hager, W. H., Hutter, K., “On Pseudo‐Uniform Flow in Open Channels,” Acta Mechanica, Vol. 53, 1984, pp. 183–200.
6.
Hager, W. H., Discussion to “Hydraulic‐Resistance Terms Modified for the Dressler Curved‐Flow Equations,” by Dressler, R. F., and Yevjevich, V., to be published in Journal of Hydraulic Research.
7.
Lenau, C. W., “The Solitary Wave of Maximum Amplitude,” Journal of Fluid Mechanics, Vol. 26, 1966, pp. 309–320.
8.
Matthew, G. D., “On the Influence of Curvature, Surface Tension and Viscosity on Flow over Round‐Crested Weirs,” Proceedings of the Institute of Civil Engineers, London, England, Vol. 25, 1963, pp. 511–524;
Vol. 28, 1964, pp. 557–569.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 111Issue 3March 1985
Pages: 541 - 546

History

Published online: Mar 1, 1985
Published in print: Mar 1985

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Authors

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Willi H. Hager, M. ASCE
Sr. Research Engr., Chaire de Constructions Hydrauliques CCH, EPFL, DGC, CH‐1015 Lausanne, Switzerland

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