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Study of the premixed flame model with heat losses The existence of two solutions

Published online by Cambridge University Press:  15 February 2006

L. ROQUES
L. ROQUES
Affiliation:
Institut National de la Recherche Agronomique (INRA), Unité de Biométrie, Domaine Saint Paul – Site Agroparc 84914 Avignon cedex 9, France email: lionel.roques@avignon.inra.fr
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Abstract

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We study the existence of planar flames, in the case of a single-step chemical reaction with volumetric heat losses, with a general reaction term. We prove that for all positive Lewis numbers, and for small values of the heat loss rate parameter, two distinct solutions exist. We also give upper bounds for the flame speed and for the heat loss rate parameter. Moreover, we explicitly compute a lower bound for the unburned gases after reaction.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 16 , Issue 6 , December 2005 , pp. 741 - 765
Copyright
2005 Cambridge University Press