RESEARCH ARTICLE


Computation of Normal and Critical Depths in Parabolic Cross Sections



Bachir Achour *, 1, Mohammed Khattaoui 2
1 Research laboratory in subterranean and surface hydraulics - Larhyss, Biskra University, P.O. Box 145, R.P., 07000, Biskra, Algeria
2 Ecole Polytechnique Universitaire de Lille, 59650, France


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© 2007 Achour and Khattaoui;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Research laboratory in subterranean and surface hydraulics - Larhyss, Biskra University, P.O. Box 145, R.P., 07000, Biskra, Algeria; E-mail: bachir.achour@larhyss.net


Abstract

With a suitable non-dimensionalization, the available charts for normal depth computation in parabolic sections are reduced to a single dimensionless curve when either Manning's or Chezy's resistance equation is used. Moreover, simple approximate solutions are presented to compute normal depth with a quite adequate degree of accuracy. Upon rearranging the critical-flow criterion equation, relevant explicit relationships are derived for this state of flow. The procedure of normal and critical depths calculation is clearly described through some examples.