LARHYSS Journal
Volume 14, Numéro 4, Pages 269-284
2017-06-03
New Approch For The Normal Depth Computation In A Trapezoidal Open Channel Using The Rough Model Method
Authors : Lakehal M. . Achour B. .
Abstract
Normal depth plays a significant role in the design of open channels and in the analysis of the non-uniform flow as well. Currently, there is no analytical met hod for calculation of the normal depth in open channels, including the trapezoidal profile. Current methods are either iterative or approximate. They also consider, unreasonably, Chezy’s coefficient or Manning’s roughness coefficient as a given data of the problem, despite the fact that these coefficients depend on the normal depth sought. In this study, a new analytical method is presented for calculating the normal depth in an traperzoidal open channel. The method takes into account, in particular, the effect of the absolute roughness which is a readily measurable parameter in practice. In a first step, the method is applied to a referential rough model in order to establish the relationships that govern its hydraulic characteristics. In a second step, these equations are used to easily deduce the required normal depth by introducing a non-dimensional correction factor. A practical example is considered to better explain the advocated method and to appreciate its simplicity and efficiency.
Keywords
Normal depth, Trapezoidal open channel, Uniform flow, Discharge, Slope, Turbulent flow.
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