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Non-uniqueness for flame propagation when the Lewis number is less than 1

Published online by Cambridge University Press:  26 September 2008

Alexis Bonnet
Alexis Bonnet
Affiliation:
Université de Cergy-Pontoise and Ecole Normale Superi´eure
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Abstract

We discuss the question of uniqueness of planar flames for a simple one-step chemical reaction. We show that when the Lewis number is less than unity (i.e. species diffusion is larger than heat diffusion) uniqueness cannot be generally assumed. An example with three flames, two of them being stable, is exhibited. Other related questions, such as sufficient conditions for uniqueness to hold and high activation energy limits, are discussed.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 4 , August 1995 , pp. 287 - 306
Copyright
Copyright © Cambridge University Press 1995

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