Velocity distribution in open channel flows: Analytical approach for the outer region

Laurent Lassabatere, Jaan Hui Pu, Hossein Bonakdari, Claude Joannis, Frédérique Larrarte

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


This paper presents an integration procedure for the Reynolds-averaged Navier-Stokes equations for the determination of the distribution of the streamwise velocity using the vertical component. This procedure is dedicated to the outer region and central part of channels. The proposed model is applicable to both rough and smooth flow regimes, provided the velocity at the inner-outer boundary has been properly defined. To generate a simplified expansion, a number of hypotheses are proposed, focusing in particular on the analytical modeling of the vertical component by adopting a negligible viscosity. The proposed hypotheses are validated by the experimental data existing in the literature. The proposed simplified expansion is studied through a sensitivity analysis and proved consistent in regards to model experimental data. The proposed model seems capable of demonstrating different kinds of flows, including dip phenomenon flow patterns.

Original languageEnglish
Pages (from-to)37-43
Number of pages7
JournalJournal of Hydraulic Engineering
Issue number1
Publication statusPublished - Jan 2013
Externally publishedYes


  • Open channel
  • Rough bed flow
  • Smooth bed flow
  • Velocity dip
  • Velocity distribution

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology
  • Mechanical Engineering

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