Smooth Mixed-Geometry Transitions in Water-Supply Canals
Publication: Journal of Irrigation and Drainage Engineering
Volume 147, Issue 9
Abstract
Fifth-degree parametric equations were developed to calculate the cross-sectional dimensions and bed centerline elevations (thus, the geometric surface coordinates) between the two ends of a warped transition in a water-supply canal. A parametric modeling approach provided a smooth representation of the mixed geometry that results from the terminal sections having vastly different shapes. A generalized cross section defined by four parameters enabled a straightforward representation of various forms ranging from trapezoids to semicircles. This approach significantly simplifies the interpolation of surface coordinates between the terminal points of a transition structure. It also maintains a degree of smoothness that helps avoid undesirable consequences of channel contractions and expansions. An example is presented that applies the parametric modeling approach to designing a significant canal transition in which the cross section changes from a standard trapezoidal shape with rounded bottom vertices to a rectangular section in a steeper aqueduct that carries the flow across a broad valley.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
References
Aisenbrey, A. J., Jr., R. B. Hayes, H. J. Warren, D. L. Winsett, and R. B. Young. 1978. Design of small canal structures. Denver: US Bureau of Reclamation.
Barnhill, R. 1985. “Surface in computer aided geometric design: A survey with new results.” Comput.-Aided Geom. Des. 2 (1): 1–17.
BIS (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: BIS.
Boehm, W. 1988. “Visual continuity.” Comput.-Aided Des. 20 (6): 307–311. https://doi.org/10.1016/0010-4485(88)90111-X.
Chow, V. T. 1959. Open-channel hydraulics. New York: McGraw-Hill.
Froehlich, D. C. 2008. “Most hydraulically efficient standard lined canal sections.” J. Irrig. Drain. Eng. 134 (4): 462–470. https://doi.org/10.1061/(ASCE)0733-9437(2008)134:4(462).
Gemperline, G., and C. Crane. 1995. “Hydraulic design.” Chap. 3 in Guidelines for design of intakes for hydroelectric plants, 16–111. New York: ASCE.
Hager, W. H., A. J. Schleiss, R. M. Boes, and M. Pfister. 2020. Hydraulic engineering of dams. London: CRC Press.
Hinds, J. 1928. “The hydraulic design of flume and siphon transitions.” Trans. Am. Soc. Civ. Eng. 92 (1): 1433–1459.
Ippen, A. T. 1950. “Channel transitions and controls.” In Proc., 4th Hydraulics Conf. Iowa Institute of Hydraulic Research, 496–588. New York: Wiley.
Laycock, A. 2007. Irrigation systems: Design, planning, and construction. Wallingford, Oxfordshire, UK: CABI Publishing.
Liria Montañés, J. 2006. Hydraulic canals: Design, construction, regulation, and maintenance. London: Taylor & Francis.
Mazumder, S. K. 2020. Flow transition design in hydraulic structures. Boca Raton, FL: CRC Press.
Scobey, F. C. 1933. The flow of waters in flumes. Washington, DC: USDA.
Simmons, W. P., Jr. 1964. Hydraulic design of transitions for small canals. Denver: US Bureau of Reclamation.
Swamee, P. K., and B. R. Chahar. 2015. Design of canals. New Delhi, India: Springer.
USBR (US Bureau of Reclamation). 1987. Design of small dams. 3rd ed. Denver: US Bureau of Reclamation.
Veltkamp, R. C. 1992. Survey of continuities of curves and surfaces. Amsterdam, Netherlands: Computer Science/Dept. of Interactive Systems, Centrum voor Wiskunde en Informatica.
Vittal, N., and V. V. Chiranjeevi. 1983. “Open channel transitions: Rational method of design.” J. Hydraul. Eng. 109 (1): 99–115. https://doi.org/10.1061/(ASCE)0733-9429(1983)109:1(99).
Wilson, J. F. 2005. “Smooth mixed geometry profiles of nozzles and transition ducts.” J. Mech. Des. 127 (6): 1211–1213. https://doi.org/10.1115/1.1913704.
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© 2021 American Society of Civil Engineers.
History
Received: Jan 30, 2021
Accepted: Apr 16, 2021
Published online: Jul 8, 2021
Published in print: Sep 1, 2021
Discussion open until: Dec 8, 2021
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