Comptes Rendus
A simple eddy viscosity formulation for turbulent boundary layers near smooth walls
Comptes Rendus. Mécanique, Volume 337 (2009) no. 3, pp. 158-165.

The aim of this study is to improve the prediction of near-wall mean streamwise velocity profile U+ by using a simple method. The U+ profile is obtained by solving the momentum equation which is written as an ordinary differential equation. An eddy viscosity formulation based on a near-wall turbulent kinetic energy k+ function [R. Absi, Analytical solutions for the modeled k-equation, ASME J. Appl. Mech. 75 (2008) 044501] and the van Driest mixing length equation [E.R. van Driest, On turbulent flow near a wall, J. Aero. Sci. 23 (1956) 1007] is used. The parameters obtained from the k+ profiles are used for the computation of U+ (variables with the superscript of + are those nondimensionalized by the wall friction velocity uτ and the kinematic viscosity ν). Comparisons with DNS data of fully-developed turbulent channel flows for 109<Reτ<2003 show good agreement (where Reτ denotes the friction Reynolds number defined by uτ, ν and the channel half-width δ).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2009.03.010
Keywords: Fluid mechanics, Eddy viscosity formulation

Rafik Absi 1

1 EBI, Inst. Polytech. St-Louis, 32, boulevard du Port, 95094 Cergy-Pontoise cedex, France
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Rafik Absi. A simple eddy viscosity formulation for turbulent boundary layers near smooth walls. Comptes Rendus. Mécanique, Volume 337 (2009) no. 3, pp. 158-165. doi : 10.1016/j.crme.2009.03.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.03.010/

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