Scalar dissipation and flame surface density in premixed turbulent combustion

Kenneth N.C. Bray; Nedunchezhian Swaminathan

doi:10.1016/j.crme.2006.07.005

Scalar dissipation and flame surface density in premixed turbulent combustion
[Dissipation du scalaire et densité de surface de flamme en combustion turbulente prémélangée]

Kenneth N.C. Bray ¹ ; Nedunchezhian Swaminathan ¹

¹ Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK

Comptes Rendus. Mécanique, Volume 334 (2006) no. 8-9, pp. 466-473.

Résumé
Abstract

Une nouvelle version modélisée de l'équation de transport pour la densité de surface de flamme en combustion turbulente prémélangée est obtenue, sur la base d'une équation pour la dissipation du scalaire qui avait été préalablement obtenue par les mêmes auteurs. Comme pour ce précédent travail, l'expansion volumique due au dégagement de chaleur est trouvée jouer un rôle important dans la détermination de la densité de surface de flamme. Une approximation algébrique de l'équation de transport est obtenue, sur la base d'une analyse d'ordre de grandeur, qui se révèle être en très bon accord avec des données obtenues par DNS. Finalement, des calculs de flamme laminaire sont utilisés pour estimer l'un des paramètres principaux du nouveau modèle.

A new closed version of the transport equation for the flame surface density in premixed turbulent combustion is derived, on the basis of an equation for the scalar dissipation that has previously been proposed by the present authors. As in this earlier work, volume expansion due to heat release is found to have an important role in determining the flame surface density. An algebraic approximation to the transport equation is obtained, on the basis of an order-of-magnitude analysis, and is found to be in good agreement with data from DNS. Finally, laminar flame calculations are used to estimate a key parameter in the new model.

Publié le : 2006-08-01

DOI : 10.1016/j.crme.2006.07.005

Keywords: Turbulence, Turbulent premixed flames, Micro-mixing, Scalar mixing, Scalar dissipation rate
Mot clés : Turbulence, Flammes turbulentes de prémélange, Micro-mélange, Mélange de scalaire, Taux de dissipation du scalaire

Affiliations des auteurs :

Kenneth N.C. Bray ¹ ; Nedunchezhian Swaminathan ¹

¹ Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK

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     title = {Scalar dissipation and flame surface density in premixed turbulent combustion},
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Kenneth N.C. Bray; Nedunchezhian Swaminathan. Scalar dissipation and flame surface density in premixed turbulent combustion. Comptes Rendus. Mécanique, Volume 334 (2006) no. 8-9, pp. 466-473. doi : 10.1016/j.crme.2006.07.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.07.005/

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