Title: Numerical prediction of turbulent boundary layer subjected to a sudden transverse strain at the wall

Authors: M'hamed Bousbai, Amina Mataoui, Tahar Benabid

Addresses: Faculty of Physics, Theoretical and Applied Fluid Mechanics Laboratory, USTHB, P.O. Box 32, El Alia Bab Ezzouar, Algiers 16111, Algeria. ' Faculty of Physics, Theoretical and Applied Fluid Mechanics Laboratory, USTHB, P.O. Box 32, El Alia Bab Ezzouar, Algiers 16111, Algeria. ' Faculty of Physics, Theoretical and Applied Fluid Mechanics Laboratory, USTHB, P.O. Box 32, El Alia Bab Ezzouar, Algiers 16111, Algeria

Abstract: This study is about the behaviour of a two dimensional turbulent boundary layer on a flat plate subjected to a transverse motion of the bounding wall, producing a sudden shear force. The resulted flow is three-dimensional. Numerical prediction is achieved using the κ-ε model at high Reynolds number with the assumption of an isotropic turbulent viscosity. Close wall treatment constitutes the main difficulty within the three-dimensional turbulent boundary layer modelling. Therefore, we propose a law of wall along the transverse direction. Whilst the standard logarithmic function suggested in the literature for the two-dimensional case is used for the longitudinal component.

Keywords: three-dimensional boundary layers; 3D turbulent boundary layers; turbulence modelling; wall function; finite volume; sudden transverse strain; close wall treatment; fluid dynamics.

DOI: 10.1504/PCFD.2008.019478

Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.5, pp.248 - 257

Published online: 14 Jul 2008 *

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