A simple eddy viscosity formulation for turbulent boundary layers near smooth walls
Abstract
The aim of this study is to improve the prediction of nearwall 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 nearwall turbulent kinetic energy k function [R. Absi, Analytical solutions for the modeled kequation, 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 u and the kinematic viscosity ν). Comparisons with DNS data of fullydeveloped turbulent channel flows for 109<Re<2003 show good agreement (where Re denotes the friction Reynolds number defined by u, ν and the channel halfwidth δ). To cite this article: R. Absi, C. R. Mecanique 337 (2009).
 Publication:

Comptes Rendus Mecanique
 Pub Date:
 March 2009
 DOI:
 10.1016/j.crme.2009.03.010
 arXiv:
 arXiv:1106.0985
 Bibcode:
 2009CRMec.337..158A
 Keywords:

 Physics  Fluid Dynamics
 EPrint:
 C. R. Mecanique 337, 4 (2009) 158165