Most Hydraulically Efficient Standard Lined Canal Sections
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 4
Abstract
Cross-sectional dimensions of the most hydraulically efficient lined canals are evaluated based on an analysis of a generalized trapezoidal shape that reduces to two standard sections with rounded bottom vertices used in India, as well as to the commonly used trapezoidal section with sharp bottom vertices. The method of Lagrange multipliers is applied to find the dimensions of optimal sections when the only constraint imposed is that of uniform flow and normal depth and, in addition, when values of either channel side slope, bottom width, top width, or supply depth are specified as well. The analytic solutions obtained for the generalized trapezoidal section are shown to match known solutions for limiting cases including those for sections in the shape of sharp-cornered trapezoids, rectangles, triangles, and semicircles. Solutions presented will be useful for evaluating standard cross-sectional shapes used for lined canals in India, as well as other sections that can be obtained from the generalized trapezoid with rounded bottom vertices.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aksoy, B., and Altan-Sakarya, A. B. (2006). “Optimal lined channel design.” Can. J. Civ. Eng., 33(5), 535–545.
Bureau of Indian Standards. (2004). “Criteria for design of lined canals and guidelines for selection of type of lining (1st revision).” IS:10430:2000, New Delhi, India.
Burt, C. M., and Styles, S. W. (1999). “Modern water control and management practices in irrigation. Impact on performance.” Water Rep. No. 19, Food and Agricultural Organization of the United Nations, Rome.
Chahar, B. R. (2005). “Optimal design of a parabolic channel section.” J. Irrig. Drain. Eng., 131(6), 546–554.
Chahar, B. R. (2007). “Optimal design of a special class of curvilinear bottomed channel section.” J. Struct. Eng., 133(5), 571–576.
Chow, V. T. (1959). Open-channel hydraulics, McGraw-Hill, New York.
Dales, G. F. (1966). “The decline of the Harappans.” Sci. Am., 214(5), 92–100.
Fox, R. W., and McDonald, A. T. (1992). Introduction to fluid mechanics, 4th Ed., Wiley, New York.
Froehlich, D. C. (1994). “Width and depth-constrained best trapezoidal section.” J. Irrig. Drain. Eng., 120(4), 828–835.
King, H. W., Wisler, C. O., and Woodburn, J. G., (1949). Hydraulics, 5th Ed., Wiley, New York.
Loganathan, G. V. (1991). “Optimal design of parabolic canals.” J. Irrig. Drain. Eng., 117(5), 716–735.
Monadjemi, P. (1994). “General formulation of best hydraulic channel section.” J. Irrig. Drain. Eng., 120(1), 27–35.
Sokolnikoff, I. S., and Redheffer, R. M. (1966). Mathematics of physics and modern engineering, 2nd Ed., McGraw-Hill, New York.
Stone, I. (1984). Canal irrigation in British India: Perspectives on technological change in a peasant economy, Cambridge University Press, Cambridge, U.K.
Streeter, V. L. (1944). “Economical canal cross sections.” Trans. Am. Soc. Civ. Eng., 110, 421–430.
Swamee, P. K. (1995). “Optimal irrigation canal sections.” J. Irrig. Drain. Eng., 121(6), 467–469.
Swamee, P. K., and Bhatia, K. G. (1972). “Economic open channel sections.” Irrig. Power (The Journal of the Central Board of Irrigation & Power, India), 29(2), 169–176.
Swamee, P. K., Mishra, G. C., and Chahar, B. R. (2000a). “Comprehensive design of minimum cost irrigation canal sections.” J. Irrig. Drain. Eng., 126(5), 322–327.
Swamee, P. K., Mishra, G. C., and Chahar, B. R. (2000b). “Minimum cost design of lined canal sections.” Water Resour. Manage., 14(1), 1–12.
Swamee, P. K., Mishra, G. C., and Chahar, B. R. (2001). “Design of minimum earthwork cost canal sections.” Water Resour. Manage., 15(1), 17–30.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 134 • Issue 4 • August 2008
Pages: 462 - 470
Copyright
© 2008 ASCE.
History
Received: May 10, 2007
Accepted: Nov 5, 2007
Published online: Aug 1, 2008
Published in print: Aug 2008
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.