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Nov 15, 2004

Exact Solutions for Sequent Depths Problem

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Publication: Journal of Irrigation and Drainage Engineering
Volume 130, Issue 6

Abstract

Design of a stilling basin downstream of a barrage requires knowledge of various elements of hydraulic jump with known values such as the discharge and the energy lost in the jump. The problem reduces to solution of the implicit equations for sequent depths requiring the tedious method of trial and error. Presented herein are the exact equations for sequent depths.

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References

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Advani, R. M. (1954). “Determination of the elements of hydraulic jump.” J. Irrig. Power, 11(2), 248–276.
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Braaksma, B. L. J. (1964). “Asymptotic expansions and analytic continuations for a class of Barnes-integrals.” Compos. Math., 15, 239–341.
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Sinha, G., and Chatterjee, A. C. (1966). “An algebraic solution of standing wave equations for a rectangular horizontal floor.” J. Irrig. Power, 23(1), 108–111.
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Swamee, P. K. (1970). “Sequent depths in prismatic open channels.” J. Irrig. Power, 27(1), 45–61.
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Swamee, P. K. (2000). “Stable channel objective function.” Int. J. Sediment Res., 15(4), 434–439.
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Swamee, P. K., Mishra, G. C., and Salem, A. A. S. (1996). “Optimal design of sloping weir.” J. Irrig. Drain. Eng., 122(4), 248–255.
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Swamee, P. K., Mishra, G. C., and Salem, A. A. S. (1997). “Effectivity of multiple sheet piles in weir design.” J. Irrig. Drain. Eng., 123(3), 218–221.
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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 130Issue 6December 2004
Pages: 520 - 522

History

Published online: Nov 15, 2004
Published in print: Dec 2004

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Authors

Affiliations

Prabhata K. Swamee
Emeritus Fellow, Dept. of Civil Engineering, Indian Institute of Technology, Roorkee, Roorkee 247 667, India. E-mail: [email protected]
Pushpa N. Rathie
Professor of Statistics, Univ. of Brasilia, Brasilia 70910-900, Brazil. E-mail: [email protected]

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