Improved Channel Cross Section with Two-Segment Parabolic Sides and Horizontal Bottom
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VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 135, Issue 3
Abstract
A channel cross section with parabolic sides and horizontal bottom has been recently published and proved to be more economical (provide lesser construction cost per unit length) than the trapezoidal cross section. This paper presents a new and improved cross section with two-segment parabolic sides and horizontal bottom. Each side of the cross section consists of two parabolic segments smoothly connected. Closed-form relationships for the cross-sectional area and perimeter are developed. For specific parameter conditions, the new cross section produces most of the common cross sections, including the parabolic sides—horizontal bottom and trapezoidal cross sections, as well as new cross-sectional shapes. It provides an additional degree of freedom in determining the optimal cross-sectional design. A spreadsheet-based optimization model for the new cross section that minimizes the total construction cost (excavation and composite linings) is developed. The constraints of the model include channel discharge and physical requirements, such as flow depth, top width, and side slope with fixed or depth-dependent freeboard. The model was validated and the cross-sectional performance was evaluated using different design scenarios. The optimization results show that the new cross section is more economical and more flexible than a cross section with (one-segment) parabolic sides. As such, it should be of interest to the irrigation and drainage engineers.
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References
Anwar, A. A., and de Vries, T. T. (2003). “Hydraulically efficient power-law channels.” J. Irrig. Drain. Eng., 129(1), 18–26.
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.
Bhattacharjya, R. K. (2006). “Optimal design of open channel section incorporating critical flow condition.” J. Irrig. Drain. Eng., 132(5), 513–518.
Bhattacharjya, R. K., and Satish, M. G. (2007). “Optimal design of a stable trapezoidal cross section using hybrid optimization techniques.” J. Irrig. Drain. Eng., 133(4), 323–329.
Carlin, B. P., and Louis, T. A. (2008). Bayesian methods for data analysis, Chapman & Hall/CRC, Boca Raton, Fla.
Chow, V. T. (1959). Open channel hydraulics, McGraw-Hill, New York.
Das, A. (2000). “Optimal channel cross section with composite roughness.” J. Irrig. Drain. Eng., 126(1), 68–72.
Das, A. (2007a). “Flooding probability constrained optimal design of trapezoidal channels.” J. Irrig. Drain. Eng., 133(1), 53–60.
Das, A. (2007b). “Optimal design of channel having horizontal bottom and parabolic sides.” J. Irrig. Drain. Eng., 133(2), 192–197.
Das, A., Gaur, Y. K., Chaubey, A., Veena, S. N., and Khati, J. S. (2001). “Parabolic channel design.” J. Inst. Eng. (India), Part AG, 81(CV4), 174–181.
Easa, S. M. (1992). “Probabilistic design of open drainage channels.” J. Irrig. Drain. Eng., 118(6), 868–881.
Easa, S. M. (1994). “Reliability analysis of open drainage channels under multiple failure modes.” J. Irrig. Drain. Eng., 120(6), 1007–1024.
Federal Highway Administration (FHwA). (2007). “Design of roadside channels with flexible linings.” Hydraulic Engineering Circular Number 15, 3rd Ed., Washington, D.C.
Froehlich, D. C. (1994). “Width and depth-constrained best trapezoidal channels.” J. Irrig. Drain. Eng., 120(4), 828–835.
Frontline Systems Inc. (2005). Premium solver platform—User’s guide, Incline Village, Nev.
Horton, R. E. (1933). “Separate roughness coefficients for channel bottom and sides.” Eng. News-Rec., 111(22), 652–653.
Jain, A., Bhattacharjya, R. K., and Sanaga, S. (2004). “Optimal design of composite channels using genetic algorithm.” J. Irrig. Drain. Eng., 130(4), 286–295.
Laycock, A. (1999). “Pehur high level canal: A large parabolic canal.” News Views, 28, 7–8.
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, A. S. (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.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 135 • Issue 3 • June 2009
Pages: 357 - 365
Copyright
© 2009 ASCE.
History
Received: Oct 23, 2007
Accepted: Sep 10, 2008
Published online: Jan 22, 2009
Published in print: Jun 2009
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