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Direct and indirect thermal expansion effects in turbulent premixed flames

Published online by Cambridge University Press:  03 November 2011

Vincent Robin ,
Arnaud Mura  and
Michel Champion
Vincent Robin
Affiliation:
Institut Pprime, UPR 3346, CNRS, ENSMA, Université de Poitiers, 86961 Futuroscope, France
Arnaud Mura
Affiliation:
Institut Pprime, UPR 3346, CNRS, ENSMA, Université de Poitiers, 86961 Futuroscope, France
Michel Champion*
Affiliation:
Institut Pprime, UPR 3346, CNRS, ENSMA, Université de Poitiers, 86961 Futuroscope, France
*
†Email address for correspondence: [email protected]
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Abstract

The thermal expansion induced by the exothermic chemical reactions taking place in a turbulent reactive flow affects the velocity field so strongly that the large-scale velocity fluctuations as well as the small-scale velocity gradients can be governed by chemistry rather than by turbulence. Moreover, thermal expansion is well known to be responsible for counter-gradient turbulent diffusion and flame-generated turbulence phenomena. In the present study, by making use of an original splitting procedure applied to the velocity field, we establish the occurrence of two distinct thermal expansion effects in the flamelet regime of turbulent premixed combustion. The first is referred to as the direct thermal expansion effect. It is associated with a local flamelet crossing contribution as previously considered in early analyses of turbulent transport in premixed flames. The second, denoted herein as the indirect thermal expansion effect, is an outcome of the turbulent wrinkling processes that increases the flame surface area. Based on a splitting procedure applied to the velocity field, the respective influences of the two effects are identified and analysed. Furthermore, the theoretical analysis shows that the thermal expansion induced through the local flames can be treated separately in the usual continuity and momentum equations. This description of the turbulent reactive velocity field, leads also to relate all of the usual turbulent quantities to the reactive scalar field. Finally, algebraic closures for the turbulent transport terms of mass and momentum are proposed and successfully validated through comparison with direct numerical simulation data.

JFM classification

Reacting Flows: Combustion Reacting Flows: Flames Reacting Flows: Turbulent reacting flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 689 , 25 December 2011 , pp. 149 - 182
Copyright
Copyright © Cambridge University Press 2011

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