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Effects of radiation in turbulent channel flow: analysis of coupled direct numerical simulations

Published online by Cambridge University Press:  25 July 2014

R. Vicquelin ,
Y. F. Zhang ,
O. Gicquel  and
J. Taine
R. Vicquelin*
Affiliation:
CNRS, UPR 288 Laboratoire d’Energétique Moléculaire et Macroscopique, Combustion (EM2C), Grande Voie des Vignes, 92295 Châtenay-Malabry, France Ecole Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
Y. F. Zhang
Affiliation:
CNRS, UPR 288 Laboratoire d’Energétique Moléculaire et Macroscopique, Combustion (EM2C), Grande Voie des Vignes, 92295 Châtenay-Malabry, France Ecole Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
O. Gicquel
Affiliation:
CNRS, UPR 288 Laboratoire d’Energétique Moléculaire et Macroscopique, Combustion (EM2C), Grande Voie des Vignes, 92295 Châtenay-Malabry, France Ecole Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
J. Taine
Affiliation:
CNRS, UPR 288 Laboratoire d’Energétique Moléculaire et Macroscopique, Combustion (EM2C), Grande Voie des Vignes, 92295 Châtenay-Malabry, France Ecole Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry, France
*
†Email address for correspondence: ronan.vicquelin@ecp.fr
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Abstract

The role of radiative energy transfer in turbulent boundary layers is carefully analysed, focusing on the effect on temperature fluctuations and turbulent heat flux. The study is based on direct numerical simulations (DNS) of channel flows with hot and cold walls coupled to a Monte-Carlo method to compute the field of radiative power. In the conditions studied, the structure of the boundary layers is strongly modified by radiation. Temperature fluctuations and turbulent heat flux are reduced, and new radiative terms appear in their respective balance equations. It is shown that they counteract turbulence production terms. These effects are analysed under different conditions of Reynolds number and wall temperature. It is shown that collapsing of wall-scaled profiles is not efficient when radiation is considered. This drawback is corrected by the introduction of a radiation-based scaling. Finally, the significant impact of radiation on turbulent heat transfer is studied in terms of the turbulent Prandtl number. A model for this quantity, based on the new proposed scaling, is developed and validated.

JFM classification

Boundary Layers: Boundary layer structure Turbulent Flows: Turbulent boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 753 , 25 August 2014 , pp. 360 - 401
Copyright
© 2014 Cambridge University Press 

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Footnotes

‡

Present address: AVIC Commercial Aircraft Engine Co. Ltd, Shanghai, 200241, PR China.

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