TECHNICAL NOTES
Sep 1, 1994

Normal‐Depth Equations for Irrigation Canals

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Publication: Journal of Irrigation and Drainage Engineering
Volume 120, Issue 5

Abstract

Normal depth is an important parameter occurring in the design of irrigation canals. Direct analytic solution of normal‐depth problems is not possible, as the governing equations for the practical canal sections are implicit. The solution requires tedious methods of trial and error. Tabular and graphical methods also available for solution are subject to errors of double interpolation and errors of judgment in reading the graphs. Furthermore, the methods are based on Manning's equation, which is valid for a hydraulically rough boundary having a narrow range of relative roughness and involves a roughness coefficient having awkward dimensions. Reported herein are explicit equations for normal depth in various irrigation‐canal sections.

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References

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Bakhmeteff, B. A. (1932). Hydraulics of open channels. McGraw‐Hill Book Co., Inc., New York, N.Y.
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Chow, V. T. (1958). Open channel hydraulics. McGraw‐Hill Book Co., Inc., New York, N.Y.
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French, R. C. (1987). Open channel hydraulics. McGraw‐Hill Book Co., Inc., New York, N.Y.
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“Friction factors in open channels: task force on friction factors in open channels.” (1963). J. Hydr. Engrg., ASCE, 89(2), 97–143.
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Hager, W. H. (1989). “Discussion of ‘Non circular sewer design,’ by Prabhata K. Swamee, Renu Bhargava, and Ashok K. Sharma.” J. Envir. Engrg., ASCE, 115(1), 274–276.
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Henderson, F. M. (1966). Open channel flow. The MacMillan Co., New York, N.Y.
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King, H. W., and Brater, E. F. (1963). Handbook of hydraulics. McGraw‐Hill Book Co., Inc., New York, N.Y.
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Swamee, P. K., and Jain, A. K. (1976). “Explicit equations for pipe flow problems.” J. Hydr. Engrg., ASCE, 102(5), 657–664.
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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 120Issue 5September 1994
Pages: 942 - 948

History

Received: Sep 3, 1993
Published online: Sep 1, 1994
Published in print: Sep 1994

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Authors

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Prabhata K. Swamee
Prof., Dept. of Civ. Engrg., Univ. of Roorkee, Roorkee 247667, India

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