Technical Notes
Feb 18, 2016

Normal Depth Equations for Parabolic Open Channel Sections

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Publication: Journal of Irrigation and Drainage Engineering
Volume 142, Issue 6

Abstract

Normal depth is a key parameter occurring in open-channel hydraulics. For all practical canal sections, open-channel resistance equation involves implicit form for normal depth. Therefore, the determination of the normal depth involves the tedious method of trial and error. Presented in this paper is the good approximate explicit equation for normal depth in parabolic open-channel sections.

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References

Achour, B., and Khattaoui, M. (2008). “Computation of normal and critical depths in parabolic cross sections.” Open Civ. Eng. J., 2(1), 9–14.
ASCE Task Force. (1963). “Friction factors in open channels: Progress report of task force on friction factors in open channels.” J. Hydraul. Eng. Div., 89(2), 97–143.
Christensen, B. A. (1984). “Discussion of ‘Flow velocities in pipelines’ by Richard R. Pomeroy.” J. Hydraul. Eng., 1510–1512.
Henderson, F. M. (1966). Open channel flow, MacMillan, New York.
Li, Y., and Gao, Z. (2014). “Explicit solution for normal depth of parabolic section of open channels.” Flow Meas. Instrum., 38, 36–39.
Swamee, P. K. (1993). “Critical depth equations for irrigation canals.” J. Irrig. Drain. Eng., 400–409.
Swamee, P. K. (1994). “Normal depth equations for irrigation canals.” J. Irrig. Drain. Eng., 942–948.
Swamee, P. K., and Rathie, P. N. (2012). “Normal depth equations for wide rectangular and triangular open-channel sections involving Lambert’s W function.” ISH J. Hydraul. Eng., 18(3), 252–257.
Vatankhah, A. R. (2013). “Explicit solutions for critical and normal depth sin trapezoidal and parabolic open channels.” Ain Shams Eng. J., 4(1), 17–23.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 142Issue 6June 2016

History

Received: Jun 11, 2015
Accepted: Dec 1, 2015
Published online: Feb 18, 2016
Published in print: Jun 1, 2016
Discussion open until: Jul 18, 2016

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Authors

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Prabhata K. Swamee [email protected]
Honorary Professor Emeritus, Northcap Univ., Gurgaon, Haryana 122017, India (corresponding author). E-mail: [email protected]
Pushpa N. Rathie [email protected]
Senior National Visiting Professor, Dept. of Statistics and Applied Mathematics (DEMA), Federal Univ. of Ceara, Fortaleza 60440-900, CE, Brazil. E-mail: [email protected]

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