Application of Different Algorithms to Optimal Design of Canal Sections

 

A. Kentli*¹and O. Mercan²

 

^1,2 Engineering Faculty Mechanical Engineering, Department Marmara, University Istanbul, Turkey. *akentli@marmara.edu.tr

 

ABSTRACT

Today the increased world population and therefore the growth demand has forced the researchers to investigate better water canal networks distributing much more water while at least keeping its quality. Canal design formulas are explicitly obtained for different cross-sections considering minimum area but optimal design of canal sections considering seepage and evaporation losses are still an open area to study. In this study, two different algorithms are applied to this problem and results are compared with the one in literature. Genetic algorithm and sequential quadratic programming technique are used in optimization. Triangular, rectangular and trapezoidal cross-sections are optimized. It is seen that both algorithms are giving more accurate results than in literature.

Keywords: Design of canal section, genetic algorithm, sequential quadratic programming, seepage loss.

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

References

[1] F. Sacristán-Romero, "Technological Support for Ecology", Journal of Applied Research and Technology, vol. 5, no. 3, pp. 160-169, 2007.         [ Links ]

[2] Q. Imran et.al, "Coagulation/Flocculation of Tannery Wastewater Using Immobilized Chemical Coagulants", Journal of Applied Research and Technology, vol. 10, no. 2, pp. 79-86, 2012.         [ Links ]

[3] P.K. Swamee et.al, "Design of minimum seepage loss canal sections", Journal of Irrigation and Drainage Engineering, vol. 126, no. 1, pp. 28-32, 2000.         [ Links ]

[4] P.K. Swamee, "Optimal irrigation canal sections", Journal of Irrigation and Drainage Engineering, vol. 121, no. 6, pp. 467-469, 1995.         [ Links ]

[5] P.K. Swamee et.al, "Design of minimum water-loss canal sections", Journal of Hydraulic Research, vol. 40, no. 2, pp. 215-220, 2002.         [ Links ]

[6] Y.M. Ghazaw, "Design and analysis of a canal section for minimum water loss", Alexandria Engineering Journal, vol. 50, no. 4, pp. 337-344, 2011.         [ Links ]

[7] A. Das, "Optimal channel cross section with composite roughness", Journal of Irrigation and Drainage Engineering, vol. 126, no. 1, pp. 68-72, 2000.         [ Links ]

[8] A. Das, "Flooding probability constrained optimal design of trapezoidal channels", Journal of Irrigation and Drainage Engineering, vol. 133, no. 1, pp. 53-60, 2007.         [ Links ]

[9] R.K. Bhattacharjya and M.G. Satish, "Optimal design of a stable trapezoidal channel section using hybrid optimization techniques", Journal of Irrigation and Drainage Engineering, vol. 133, no. 4, pp. 323-329, 2007.         [ Links ]

[10] G.V. Loganathan, "Optimal design of parabolic canals", Journal of Irrigation and Drainage Engineering, vol. 117, no. 5, pp. 716-735, 1991.         [ Links ]

[11] K. Babaeyan-Koopaei et.al, "Optimal design of parabolic- bottomed triangle canals", Journal of Irrigation and Drainage Engineering, vol. 126, no. 6, pp. 408-411, 2000.         [ Links ]

[12] B.R. Chahar, "Optimal design of a parabolic canal section", Journal of Irrigation and Drainage Engineering, vol. 131, no. 6, pp. 546-554, 2005.         [ Links ]

[13] B.R. Chahar, "Optimal design of a special class of curvilinear bottomed channel section", Journal of Hydraulic Engineering, vol. 133, no. 5, pp. 571-576, 2007.         [ Links ]

[14] C.Y. Guo and W.C. Hughes, "Optimal channel cross section with freeboard", Journal of Irrigation and Drainage Engineering, vol. 110, no. 3, pp. 304-314, 1984.         [ Links ]

[15] B. Aksoy and A.B. Altan-Sakarya, "Optimal lined channel design", Canadian Journal of Civil Engineering, vol. 33, no. 5, pp. 535-545, 2006.         [ Links ]

[16] R. K. Bhattacharjya, "Optimal design of open channel section incorporating critical flow condition", Journal of Irrigation and Drainage Engineering, vol. 132, no. 5, pp. 513-518, 2006.         [ Links ]

[17]-A. Jain et.al, "Optimal design of composite channels using genetic algorithm", Journal of Irrigation and Drainage Engineering, vol. 130, no. 4, pp. 286295, 2004.         [ Links ]

[18] S.M. Easa et.al, "A simplified direct method for finding optimal stable trapezoidal channels", International Journal of River Basin Management, vol. 9, no. 2, pp. 85-92, 2011.         [ Links ]

[19] T.J. Trout, "Channel design to minimize lining material costs", Journal of Irrigation and Drainage Engineering, vol. 108, no. 4, pp. 242-249, 1982.         [ Links ]

[20] A.R. Kacimov, "Seepage optimization for trapezoidal channel", Journal of Irrigation and Drainage Engineering, vol. 118, no. 4, pp. 520-526, 1992.         [ Links ]

[21] P. Monadjemi, "General formulations of best hydraulic channel section", Journal of Irrigation and Drainage Engineering, vol. 120, no. 1, pp. 27-35, 1994.         [ Links ]

[22] D.C. Froehlich, "Width and depth-constrained best trapezoidal section", Journal of Irrigation and Drainage Engineering, vol. 120, no. 4, pp. 828-835, 1994.         [ Links ]

[23] P.K. Swamee et. al, "Comprehensive design of minimum cost irrigation canal sections", Journal of Irrigation and Drainage Engineering, vol. 126, no. 5, pp. 322-327, 2000.         [ Links ]

[24] V. Nourani et. al, "Application of ant colony optimization to optimal design of open channels", Journal of Hydraulic Research, vol. 47, no. 5, pp. 656-665, 2009.         [ Links ]

[25] S. Adarsh, "Modeling parametric uncertainty in optimal open channel design using FORM-PGSL coupled approach", Stochastic Environmental Research and Risk Assessment, vol. 26, no. 5, pp. 709-720, 2012.         [ Links ]

[26] P.K. Swamee et. al, "Minimum cost design of lined canal sections", Water Resources Management, vol. 14, no. 1, pp. 1-12, 2000.         [ Links ]

[27] P.K. Swamee et. al, "Design of minimum earthwork cost canal sections", Water Resources Management, vol. 15, no. 1, pp. 17-30, 2001.         [ Links ]

[28] J.M. Fulford and T.W. Sturm, "Evaporation from flowing channels", Journal of Energy Engineering, vol. 110, no. 1, pp. 1-9, 1984.         [ Links ]

[29] P.K. Swamee, "Normal depth equations for irrigation canals", Journal of Irrigation and Drainage Engineering, vol. 120, no. 5, pp. 942-948, 1994.         [ Links ]

[30] E. Wachyan and K.R. Rushton, "Water losses from irrigation canals", Journal of Hydrology, vol. 92, no. 3-4, pp. 275-288, 1987.         [ Links ]

[31] R.H. Cuenca, "Irrigation system design: an engineering approach", New Jersey, Englewood Cliffs Prentice Hall, 1989.         [ Links ]

[32] V.T. Chow, "Open channel hydraulics", New York, McGraw-Hill Book Co. Inc., 1973.         [ Links ]

[33] B.A. Christensen, "Discussion on "Flow velocities in pipelines" by Richard R. Pomeroy", Journal of Hydraulic Engineering, vol. 110, no. 10, pp. 1510-1512, 1984.         [ Links ]

[34] J.H. Holland, "Adaptation in Natural and Artificial Systems", Ann Arbor, University of Michigan Press, 1975.         [ Links ]

[35] Matlab Global Optimization Toolbox User Guide, version 2011a, Massachusetts, The MathWorks Inc., 2011.         [ Links ]

[36] J. Nocedal and S.J. Wright, "Numerical Optimization", New York, Springer Verlag, 2006.         [ Links ]