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).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2009.03.010
Mots clés : 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/

[1] J.O. Hinze Turbulence, MacGraw-Hill, 1975

[2] K. Hanjalić; B.E. Launder Contribution towards a Reynolds-stress closure for low-Reynolds-number turbulence, J. Fluid Mech., Volume 74 (1976), p. 593

[3] H. Tennekes; J.L. Lumley A First Course in Turbulence, MIT Press, 1972

[4] R. Absi Analytical solutions for the modeled k-equation, ASME J. Appl. Mech., Volume 75 (2008), p. 044501

[5] E.R. van Driest On turbulent flow near a wall, J. Aero. Sci., Volume 23 (1956), p. 1007

[6] V.C. Patel; W. Rodi; G. Scheuerer Turbulence models for near-wall and low Reynolds numbers flows: A review, AIAA J., Volume 23 (1985), p. 1308

[7] T. Wei; W.W. Willmarth Reynolds-number effects on the structure of a turbulent channel flow, J. Fluid Mech., Volume 204 (1989), p. 57

[8] J. Kim; P. Moin; R.D. Moser Turbulent statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech., Volume 177 (1987), p. 133

[9] R.D. Moser; J. Kim; N.N. Mansour Direct numerical simulation of turbulent channel flow up to Reτ=590, Phys. Fluids, Volume 11 (1999), p. 943

[10] K. Iwamoto; Y. Suzuki; N. Kasagi Reynolds number effect on wall turbulence: toward effective feedback control, Int. J. Heat Fluid Flow, Volume 23 (2002), p. 678

[11] J.C. del Alamo; J. Jimenez; P. Zandonade; R.D. Moser Scaling of the energy spectra of turbulent channels, J. Fluid Mech., Volume 500 (2004), p. 135

[12] S. Hoyas; J. Jiménez Scaling of velocity fluctuations in turbulent channels up to Reτ=2003, Phys. Fluids, Volume 18 (2006), p. 011702

[13] K. Iwamoto, Database of fully developed channel flow, THTLAB Internal Report No. ILR-0201, Dept. Mech. Eng., Univ. Tokyo, 2002

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