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Extended wall-function for velocity and temperature in Large-Eddy Simulation

DOI: 10.1615/ICHMT.2006.TurbulHeatMassTransf.640
pages 335-338

D. Monfort
EDF-R&D, 6 quai Watier, 78401 Chatou, France

Sofiane Benhamadouche
Fluids Mechanics Energy and Environment Dept., EDF R&D, France

Pierre Sagaut
Institut Jean Le Rond D'Alembert, UMR 7190 Université Pierre et Marie Curie 4 place Jussieu 75005 Paris, France; Laboratoire de Mecanique, Modelisation et Procedes Propres UMR CNRS 7340 Aix-Marseille Universite IMT La Jetee, Technopole de Chateau-Gombert 38, rue Frederic Joliot-Curie 13451 Marseille Cedex 13, France

Abstract

An extended wall-function approach that may take into account all the terms of Navier-Stokes equations (the pressure gradient, the unsteady term, the buoyancy effects,...) is presented herein. The method is based on an analytical integration of the momentum equations along the normal direction to the wall. The present approach is applied to a heated channel flow, using the same approach for the temperature, at a turbulent Reynolds number Reτ = 640 and a Prandtl number Pr = 0.71.

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