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Turbulent velocity profile in fully-developed open channel flows.
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- Author(s): Bonakdari, Hossein; Larrarte, Frédérique; Lassabatere, Laurent; Joannis, Claude
- Source:
Environmental Fluid Mechanics; Feb2008, Vol. 8 Issue 1, p1-17, 17p, 1 Diagram, 1 Chart, 7 Graphs- Subject Terms:
- Source:
- Additional Information
- Abstract: The determination of velocity profile in turbulent narrow open channels is a difficult task due to the significant effects of the anisotropic turbulence that involve the Prandtl’s second type of secondary flow occurring in the cross section. With these currents the maximum velocity appears below the free surface that is called dip phenomenon. The well-known logarithmic law describes the velocity distribution in the inner region of the turbulent boundary layer but it is not adapted to define the velocity profile in the outer region of narrow channels. This paper relies on an analysis of the Navier–Stokes equations and yields a new formulation of the vertical velocity profile in the center region of steady, fully developed turbulent flows in open channels. This formulation is able to predict time averaged primary velocity in the outer region of the turbulent boundary layer for both narrow and wide open channels. The proposed law is based on the knowledge of the aspect ratio and involves a parameter C
Ar depending on the position of the maximum velocity (ξdip ). ξdip may be derived, either from measurements or from an empirical equation given in this paper. A wide range of longitudinal velocity profile data for narrow open channels has been used for validating the model. The agreement between the measured and the computed velocities is rather good, despite the simplification used. [ABSTRACT FROM AUTHOR] - Abstract: Copyright of Environmental Fluid Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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