Raison d'être and general formulation of two-point statistical description of turbulent premixed combustion

Alexey A. Burluka

doi:10.1016/j.crme.2006.07.014

Raison d'être and general formulation of two-point statistical description of turbulent premixed combustion
[Raison d'être et formulation générale d'une description statistique en deux-point pour une combustion turbulente pré-mélangée]

Présenté par : Presented by

Alexey A. Burluka ¹

¹ School of Mechanical Engineering, The University of Leeds, Leeds, LS2 9JT, UK

Comptes Rendus. Mécanique, Volume 334 (2006) no. 8-9, pp. 474-482.

Résumé
Abstract

Ce travail considère les paramètres définissant les taux de réactions chimiques dans une combustion turbulente pré-mélangée en insistant sur le cas d'une turbulence forte. Les données expérimentales montrent que non seulement la vitesse de flamme laminaire et l'écart type de la vitesse turbulente mais aussi à la fois les détails de la cinétique chimique et les coefficients de transport moléculaire sont impotants dans ce cas. La détermination des taux de transport moléculaire dans une flamme turbulente nécessite une description statistique en deux points. Afin de construire une telle approche on considère l'équation de transport de la fonction densité de probalité conjointe en deux points de la vitesse et des scalaires. Il s'avère qu'il est possible d'obtenir une fermeture de cette équation, incluant les termes de micro-mélange, à partir de la méthode de Ievlev.

This work undertakes an analysis of parameters defining the rate of chemical reactions in turbulent premixed combustion with particular emphasis on the strong turbulence case. Experimental data show that not only the laminar flame speed and rms turbulent velocity but also both the details of chemical kinetics and the molecular transport coefficients are important in this case. Determination of the molecular transport rates inside a turbulent flame requires a two-point statistical description. In order to construct such a description the transport equation for the two-point joint velocity and scalars probability density function is considered. It proved possible to achieve a closure of the unclosed terms in this equation, including the micromixing terms, following Ievlev's method.

Publié le : 2006-08-01

DOI : 10.1016/j.crme.2006.07.014

Keywords: Turbulence, Turbulent premixed combustion, Molecular transport effects, Small-scale mixing, Two-point probability density functions
Mot clés : Turbulence, Combustion turbulente prémélangée, Effet du transport moléculaire, Mélange à petite échelle, Fonctions densité de probabilité en deux points

Affiliations des auteurs :

Alexey A. Burluka ¹

¹ School of Mechanical Engineering, The University of Leeds, Leeds, LS2 9JT, UK

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Alexey A. Burluka. Raison d'être and general formulation of two-point statistical description of turbulent premixed combustion. Comptes Rendus. Mécanique, Volume 334 (2006) no. 8-9, pp. 474-482. doi : 10.1016/j.crme.2006.07.014. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.07.014/

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