Exact Equations for Critical Depth in a Trapezoidal Canal
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VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 131, Issue 5
Abstract
Critical depth is an important parameter in the analysis of varied flow in canals and natural streams. For triangular, rectangular, and parabolic channel sections it is possible to express critical depth analytically. However, for many practical sections, including the trapezoidal section, the governing equations are implicit in the critical depth. For these sections the critical depth is presently obtained either by trial and error procedure, or by using empirical equations based on curve fitting. In this Technical Note exact analytical solutions of critical depth for the trapezoidal open channel section have been obtained in the form of fast converging infinite series.
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References
Bakhmeteff, B. A. (1932). Hydraulics of open channels, McGraw-Hill, New York.
Braaksma, B. L. J. (1964). “Asymptotic expansions and analytic continuation for a class of Barnes-integrals.” Compos. Math., 15, 239–341.
Chow, V. T. (1958). Open channel hydraulics, McGraw-Hill, New York.
Liggett, J. A. (1993). “Critical depth velocity profiles, and averaging.” J. Irrig. Drain. Eng., 119(2), 416–422.
Swamee, P. K. (1993). “Critical depth equations for irrigation canals.” J. Irrig. Drain. Eng., 119(2), 400–409.
Swamee, P. K. (1999). “Discussion of ‘Formula for calculating critical depth of trapezoidal open channel,’ by Zhengzhong Wang.” J. Hydraul. Eng., 125(7), 785–786.
Wang, Z. (1998). “Formula for calculating critical depth of trapezoidal open channel.” J. Hydraul. Eng., 124(1), 90–91.
Whittaker, E. T., and Watson, G. N. (1990). A course of modern analysis, 4th Ed., Cambridge University Press, Cambridge, U.K., 133–133.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 131 • Issue 5 • October 2005
Pages: 474 - 476
Copyright
© 2005 ASCE.
History
Received: Sep 17, 2003
Accepted: Aug 19, 2004
Published online: Oct 1, 2005
Published in print: Oct 2005
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