An explicit algebraic Reynolds stress model

for compressible turbulent flows

H. Marzougui*, H. Khlifi, T. Lili

Département de Physique, Faculté des Sciences de Tunis,Campus Universitaire, 1060 Tunis, Tunisie

* Corresponding author. E-mail : hamed_merzougui@yahoo.com

Received : 26 January 2004; revised version accepted : 03 April 2004

Abstract

An explicit incompressible algebraic Reynolds stress model is extended in order to predict numerically the development of compressible turbulent flows. Our compressibility correction that leans on the dilatational terms appearing in the Reynolds stress equation, permits to express the g-coefficient of Pope model as a function of turbulent Mach number. This new formulation in conjunction with compressible model is applied to compressible mixing layer between two streams of the same gas; configuration has been studied experimentally by Goebel & Dutton. Comparisons between the proposed algebraic model predictions and experimental results are quite encouraging.

Keywords: Compressible turbulent flows; Algebraic Model; Mixing layer.

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