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Progress in the development of a Reynolds-stress turbulence closure

Published online by Cambridge University Press:  29 March 2006

B. E. Launder ,
G. J. Reece  and
W. Rodi
B. E. Launder
Affiliation:
Department of Mechanical Engineering, Imperial College, London
G. J. Reece
Affiliation:
Department of Mechanical Engineering, Imperial College, London
W. Rodi
Affiliation:
Department of Mechanical Engineering, Imperial College, London Present address: Sonderforschungsbereich 80, University of Karlsruhe, Germany.
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Abstract

The paper develops proposals for a model of turbulence in which the Reynolds stresses are determined from the solution of transport equations for these variables and for the turbulence energy dissipation rate ε. Particular attention is given to the approximation of the pressure-strain correlations; the forms adopted appear to give reasonably satisfactory partitioning of the stresses both near walls and in free shear flows.

Numerical solutions of the model equations are presented for a selection of strained homogeneous shear flows and for two-dimensional inhomogeneous shear flows including the jet, the wake, the mixing layer and plane channel flow. In addition, it is shown that the closure does predict a very strong influence of secondary strain terms for flow over curved surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 3 , 15 April 1975 , pp. 537 - 566
Copyright
© 1975 Cambridge University Press

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