Explicit Equations for Uniform Flow Depth
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 143, Issue 5
Abstract
The conventional approach in uniform open channel flow is to express the resistance coefficient in the Manning, Darcy-Weisbach, or Chezy form. However, for practical cross sections, including rectangular and trapezoidal, the governing equation is implicit in the uniform water depth. For these sections, the water depth, corresponding to known values of the flow discharge, slope channel, and resistance coefficient, is presently obtained by a trial-and-error procedure. In this paper, explicit analytical solutions of uniform flow depth for rectangular and trapezoidal sections have been obtained in the form of fast converging power series.
Get full access to this article
View all available purchase options and get full access to this article.
References
Chow, V. T. (1959). Open channel hydraulics, McGraw-Hill, New York.
Dooge, J. C. I. (1992). “The Manning formula in context.” Channel flow resistance: Centennial of Manning’s formula, B. C. Yen, ed., Water Resources Publications, Littleton, CO, 136–185.
Ferro, V., and Giordano, G. (1991). “Experimental study of flow resistance in gravel bed rivers.” J. Hydraul. Eng., 1239–1246.
Ferro, V., and Pecoraro, R. (2000). “Incomplete self-similarity and flow velocity in gravel bed channels.” Water Resour. Res., 36(9), 2761–2769.
Swamee, P. K., and Rathie, P. N. (2005). “Exact equations for critical depth in a trapezoidal canal.” J. Irrig. Drain. Eng., 474–476.
Whittaker, E. T., and Watson, G. N. (1990). A course of modern analysis, 4th Ed., Cambridge University Press, Cambridge, U.K., 133–133.
Yen, B. C. (1992). “Hydraulic resistance in open channels.” Channel flow resistance: Centennial of manning’s formula, Water Resources Publications, Littleton, CO, 1–135.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 143 • Issue 5 • May 2017
Copyright
©2016 American Society of Civil Engineers.
History
Received: Jul 30, 2016
Accepted: Sep 27, 2016
Published online: Nov 29, 2016
Discussion open until: Apr 29, 2017
Published in print: May 1, 2017
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.