The University of Southampton
University of Southampton Institutional Repository

Compressible turbulent channel flows: DNS results and modelling

Compressible turbulent channel flows: DNS results and modelling
Compressible turbulent channel flows: DNS results and modelling
The present paper addresses some topical issues in modelling compressible turbulent shear flows. The work is based on direct numerical simulation (DNS) of two supersonic fully developed channel flows between very cold isothermal walls. Detailed decomposition and analysis of terms appearing in the mean momentum and energy equations are presented. The simulation results are used to provide insights into differences between conventional Reynolds and Favre averaging of the mean-flow and turbulent quantities. Study of the turbulence energy budget for the two cases shows that compressibility effects due to turbulent density and pressure fluctuations are insignificant. In particular, the dilatational dissipation and the mean product of the pressure and dilatation fluctuations are very small, contrary to the results of simulations for sheared homogeneous compressible turbulence and to recent proposals for models for general compressible turbulent flows. This provides a possible explanation of why the Van Driest density-weighted transformation (which ignores any true turbulent compressibility effects) is so successful in correlating compressible boundary-layer data. Finally, it is found that the DNS data do not support the strong Reynolds analogy. A more general representation of the analogy is analysed and shown to match the DNS data very well.
0022-1120
185-218
Huang, P.C.
7686be49-b1c0-4828-95f5-cfdbac4b0960
Coleman, G.N.
ea3639b9-c533-40d7-9edc-3c61246b06e0
Bradshaw, P.
59c928d6-99a2-485d-ae2d-1f8631e772de
Huang, P.C.
7686be49-b1c0-4828-95f5-cfdbac4b0960
Coleman, G.N.
ea3639b9-c533-40d7-9edc-3c61246b06e0
Bradshaw, P.
59c928d6-99a2-485d-ae2d-1f8631e772de

Huang, P.C., Coleman, G.N. and Bradshaw, P. (1995) Compressible turbulent channel flows: DNS results and modelling. Journal of Fluid Mechanics, 305, 185-218. (doi:10.1017/S0022112095004599).

Record type: Article

Abstract

The present paper addresses some topical issues in modelling compressible turbulent shear flows. The work is based on direct numerical simulation (DNS) of two supersonic fully developed channel flows between very cold isothermal walls. Detailed decomposition and analysis of terms appearing in the mean momentum and energy equations are presented. The simulation results are used to provide insights into differences between conventional Reynolds and Favre averaging of the mean-flow and turbulent quantities. Study of the turbulence energy budget for the two cases shows that compressibility effects due to turbulent density and pressure fluctuations are insignificant. In particular, the dilatational dissipation and the mean product of the pressure and dilatation fluctuations are very small, contrary to the results of simulations for sheared homogeneous compressible turbulence and to recent proposals for models for general compressible turbulent flows. This provides a possible explanation of why the Van Driest density-weighted transformation (which ignores any true turbulent compressibility effects) is so successful in correlating compressible boundary-layer data. Finally, it is found that the DNS data do not support the strong Reynolds analogy. A more general representation of the analogy is analysed and shown to match the DNS data very well.

Text
compressible_turbulent_channel_flows_DNS_results_and_modelling.pdf - Other
Download (4MB)

More information

Published date: 1995

Identifiers

Local EPrints ID: 71976
URI: http://eprints.soton.ac.uk/id/eprint/71976
ISSN: 0022-1120
PURE UUID: 7b8bc6e8-c390-45a1-b86a-c1f8cec8b37d

Catalogue record

Date deposited: 13 Jan 2010
Last modified: 13 Mar 2024 20:54

Export record

Altmetrics

Contributors

Author: P.C. Huang
Author: G.N. Coleman
Author: P. Bradshaw

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×