Design of Hydraulically Efficient Power-Law Channels with Freeboard
Publication: Journal of Irrigation and Drainage Engineering
Volume 131, Issue 6
Abstract
A power-law channel is a generalized form of the parabolic channel. The exponent of the governing equation is a variable that for certain maximum permissible side slopes can be determined by maximizing the cross-sectional area of flow (or minimizing the wetted perimeter). Using this exponent rather than the constant allows a hydraulically more efficient open channel section to be designed. In earlier work on power-law channels freeboard was neglected to simplify the analysis. However as pointed out by several authors, a channel without freeboard is of academic interest only and not practical. All open channels are in practice designed and constructed with freeboard as a factor of safety. In this paper freeboard has been introduced as an additional parameter to be taken into account when designing a power-law channel. The work from this paper is applied to an earlier example of a parabolic channel to demonstrate a practical design.
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References
Aisenbrey, A. J., Jr., Hayes, R. B., Warren, H. J., Winsett, D. L., and Young, R. B. (1978). “Design of small channel structures.” U.S. Bureau of Reclamation, Denver, 15–15.
Anwar, A. A., and de Vries, T. T. (2003). “Hydraulically efficient power-law channels.” J. Irrig. Drain. Eng. 129(1), 18–26.
Atmapoojya, S. L., and Ingle, R. N. (2002). “Discussion of ‘Optimal design of parabolic-bottomed triangle canals,’ by K. Babaeyan-Koopaei, E. M. Valentine, and D. C. Swailes.” J. Irrig. Drain. Eng., 128(3), 189–191.
Babaeyan-Koopaei, K., Valentine, E. M., and Swailes, D. C. (2000). “Optimal design of parabolic-bottomed triangle canals.” J. Irrig. Drain. Eng., 126(6), 408–411.
Guo, C. Y., and Hughs, W. C. (1984). “Optimal channel cross section with freeboard.” J. Irrig. Drain. Eng., 110(3), 304–314.
Kacimov, A. R. (2004). “Dicussion of ‘Hydraulically efficient power-law channels’ by Arif A. Anwar and Tonny T. de Vries.” J. Irrig. Drain. Eng., 130(5), 445–446.
Loganathan, G. V. (1991) “Optimal design of parabolic canals.” J. Irrig. Drain. Eng., 117(5), 716–735.
Mironenko, A. P., Willardson, L. S., and Jenab, S. A. (1984). “Parabolic canal design and analysis.” J. Irrig. Drain. Eng., 110(2), 241–246.
Monadjemi, P. (1994). “General formulation of best hydraulic channel section.” J. Irrig. Drain. Eng., 120(1), 27–35.
Strelkoff, T. S., and Clemmens, A. J. (2000). “Approximating wetted perimeter in power-law cross section.” J. Irrig. Drain. Eng., 126(2), 98–109.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 131 • Issue 6 • December 2005
Pages: 560 - 563
Copyright
© 2005 ASCE.
History
Received: Nov 25, 2003
Accepted: Aug 19, 2004
Published online: Dec 1, 2005
Published in print: Dec 2005
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