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Compressible mixed layer growth rate and turbulence characteristics

Vreman, A.W., Sandham, N.D. and Luo, K.H. (1996) Compressible mixed layer growth rate and turbulence characteristics Journal of Fluid Mechanics, 320, pp. 235-258. (doi:10.1017/S0022112096007525).

Record type: Article

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

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Published date: 1996

Identifiers

Local EPrints ID: 72040
URI: http://eprints.soton.ac.uk/id/eprint/72040
ISSN: 0022-1120
PURE UUID: 1b406047-d390-42de-ba1f-31d5e2a5b390

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Date deposited: 18 Jan 2010
Last modified: 18 Jul 2017 23:57

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Contributors

Author: A.W. Vreman
Author: N.D. Sandham
Author: K.H. Luo

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