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Compressible mixing layer growth rate and turbulence characteristics

Published online by Cambridge University Press:  26 April 2006

A. W. Vreman ,
N. D. Sandham  and
K. H. Luo
A. W. Vreman
Affiliation:
Department of Applied Mathematics, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands
N. D. Sandham
Affiliation:
Department of Aeronautical Engineering, Queen Mary and Westfield College, Mile End Road, London E1 4NS, UK
K. H. Luo
Affiliation:
Department of Aeronautical Engineering, Queen Mary and Westfield College, Mile End Road, London E1 4NS, UK
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Abstract

Direct numerical simulation databases have been used to study the effect of compressibility on mixing layers. The simulations cover convective Mach numbers from 0.2 to 1.2 and all contain a fully resolved turbulent energy cascade to small spatial scales. Statistical information is extracted from the databases to determine reasons for the reduced growth rate that is observed as the convective Mach number is increased. It is found that the dilatational contribution to dissipation is negligible even when eddy shocklets are observed in the flow. Also pressure-dilatation is not found to be significant. Using an accurate relation between the momentum thickness growth rate and the production of turbulence kinetic energy together with integrated equations for the Reynolds stress tensor it is shown that reduced pressure fluctuations are responsible for the changes in growth rate via the pressure–strain term. A deterministic model for the required pressure fluctuations is given based on the structure of variable-density vortices and the assumption that the limiting eddies are sonic. Simple anisotropy considerations are used to close the averaged equations. Good agreement with turbulence statistics obtained from the simulations is found.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 320 , 10 August 1996 , pp. 235 - 258
Copyright
© 1996 Cambridge University Press

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