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Implications of laminar flame finite thickness on the structure of turbulent premixed flames

Published online by Cambridge University Press:  08 December 2015

Kim Q. N. Kha ,
Vincent Robin ,
Arnaud Mura  and
Michel Champion
Kim Q. N. Kha
Affiliation:
Institut Pprime UPR 3346 CNRS - ENSMA - 86961 Futuroscope, France
Vincent Robin
Affiliation:
Institut Pprime UPR 3346 CNRS - ENSMA - 86961 Futuroscope, France
Arnaud Mura*
Affiliation:
Institut Pprime UPR 3346 CNRS - ENSMA - 86961 Futuroscope, France
Michel Champion
Affiliation:
Institut Pprime UPR 3346 CNRS - ENSMA - 86961 Futuroscope, France
*
†Email address for correspondence: arnaud.mura@ensma.fr
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Abstract

A layered description of the structure of turbulent flame brushes is provided for situations featuring large but finite values of the Damköhler number, which correspond to the wrinkled flame regime of turbulent premixed combustion. One special focus of this study is placed on the description of the leading edge of the turbulent flame brush, the role of which is known to be essential with respect to propagation, transport and stabilization issues. On the basis of rather simple and well-identified working hypotheses, the influence of slight increases in the Karlovitz number values is revealed. The phenomenology and associated statistics are also investigated analytically, which leads to a mathematical description of the leading edge internal structure. With respect to the progress variable statistics, i.e. probability density function, this leading edge can indeed be thought of as the inner part of a boundary layer where the influence of the finite thickness of laminar flamelets can no longer be neglected. From the proposed description, standard fast-chemistry closures, which are currently used to perform the numerical simulation of turbulent combustion, may easily be generalized to account for the finite-rate chemistry effects occurring in this sublayer, thus emphasizing the interest of the present analysis for turbulent combustion theory and modelling.

JFM classification

Reacting Flows: Combustion Reacting Flows: Flames Reacting Flows: Reacting Flows

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Type
Papers
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Journal of Fluid Mechanics , Volume 787 , 25 January 2016 , pp. 116 - 147
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© 2015 Cambridge University Press 

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