TECHNICAL PAPERS
Dec 1, 2008

Evolutionary Algorithms for the Determination of Critical Depths in Conduits

Publication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 6

Abstract

The determination of critical depth and the position of control sections is important in open-channel hydraulics. Calculation of critical depth in open channels is useful not only for determining the condition of a flow but also for hydraulic design and analysis of experimental and analytical results. In this study, unlike the conventional approaches, an alternative method, based on a genetic algorithm (GA), for the calculation of critical depth in conduits is presented. In our model, the governing equations are transferred into an objective function that is then minimized using a GA in order to calculate critical depth. This method does not have the limitations of existing empirical and semiempirical methods and can be used for any prismatic or nonprismatic open-channel cross section. The concepts presented in this paper can be generalized for solving other tortuous hydraulic engineering equations and problems.

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Acknowledgments

The writers are grateful for the assistance from Mr. Farzad Faridafshin at Chalmers University of Technology.

References

Bakhtiari, M., Kanani, A., and Borghei, S. M. (2007). “Normal depth in open channels based on genetic algorithm.” Proc., 32nd Int. Association of Hydraulic Engineering and Research, Venice.
Balascio, C. C., Palmeri, D. J., and Gao, H. (1998). “Use of a genetic algorithm and multiobjective programming for calibration of a hydrological model.” Trans. ASAE, 41(3), 615–619.
Bozorg-Hadad, O., and Sharifi, F. (2005). “Genetic algorithm in optimal design of stepped spillway and its down stream energy dissipaters.” Proc., 73rd Annual Meeting of the Int. Commission of Large Dams, Paper 058-OT.
Chaudhry, M. H., and Bhallamudi, S. M. (1988). “Computation of critical depth in symmetrical compound channels.” J. Hydraul. Res., 26(4), 377–395.
Dey, S. (2001). “Flow measurement by the end-depth method in inverted semicircular channels.” Flow Meas. Instrum., 12(4), 253–258.
French, R. (1986). Open-channel hydraulics, McGraw-Hill, New York.
Goldberg, D. (1989). Genetic algorithms in search, optimization machine learning, Addison-Wesley, Reading, Mass.
Karpouzos, D. K., Delay, F., Katsifarakis, K. L., and de Marsily, G. (2001). “A multipopulation genetic algorithm to solve the inverse problem in hydrogeology.” Water Resour. Res., 37(9), 2291.
Kurbanov, S. O., and Khanov, N. V. (2004). “Computation of critical depth of channels with polygonal profile.” J. Power Technol. Eng., 38(2), 71–73.
MathWorks. (2004). Genetic algorithm and direct search toolbox user’s guide, The Mathworks Inc., Natick, Mass.
Smith, K. (1972). “Computer determination of critical depth control points in open channel flow.” Proc., Insitute of Civil Engineers, Part 2, Vol. 53, Institute of Civil Engineers, London, 461–470.
Straub, W. O. (1978). “A quick and easy way to calculate critical and conjugate depths in circular open channels.” Civ. Eng. (N.Y.), 48(12), 70–71.
Swamee, P. K., and Rathie, P. N. (2005). “Exact equations for critical depth in a trapezoidal canal.” J. Irrig. Drain. Eng., 131(5), 474–476.
U.S. Army Corps of Engineers (USACE). (2002). Hydraulic reference manual, Institute For Water Resources, Hydrological Engineering Center, USACE, Washington, D.C.
Wang, Q. J. (1991). “The genetic algorithm and its application to calibrating conceptual rainfall-runoff models.” Water Resour. Res., 27(9), 2467–2471.
Wang, Z. (1998). “Formula for calculating critical depth of trapezoidal open channel.” J. Hydraul. Eng., 124(1), 90–91.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 134Issue 6December 2008
Pages: 847 - 852

History

Received: May 24, 2007
Accepted: Feb 27, 2008
Published online: Dec 1, 2008
Published in print: Dec 2008

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Authors

Affiliations

Research Associate, Dept. of Civil Engineering, Sharif Univ. of Technology, P.O. Box 11365-8639, Tehran, Iran. E-mail: [email protected]
M. Bakhtiari [email protected]
Research Associate, Dept. of Civil Engineering, Sharif Univ. of Technology, P.O. Box 11365-8639, Tehran, Iran. E-mail: [email protected]
S. M. Borghei [email protected]
Professor, Dept. of Civil Engineering, Sharif Univ. of Technology, P.O. Box 11365-8639, Tehran, Iran. E-mail: [email protected]
Professor, Division of Civil Engineering, School of Engineering, Physics and Mathematics, Univ. of Dundee, Dundee DD1 4HN, Scotland, U.K. (corresponding author). E-mail: [email protected]

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