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On the pulsating instability of two-dimensional flames

Published online by Cambridge University Press:  16 July 2009

Carlos Alvarez Pereira  and
José M. Vega
Carlos Alvarez Pereira
Affiliation:
ETSI Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
José M. Vega
Affiliation:
ETSI Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
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Abstract

We consider a well-known thermo-diffusive model for the propagation of a premixed, adiabatic flame front in the large-activation-energy limit. That model depends only on one nondimensional parameter β, the reduced Lewis number. Near the pulsating instability limit, as β↓β0= 32/3, we obtain an asymptotic model for the evolution of a quasi-planar flame front, via a multi-scale analysis. The asymptotic model consists of two complex Ginzburg–Landau equations and a real Burgers equation, coupled by non-local terms. The model is used to analyse the nonlinear stability of the flame front.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 1 , March 1992 , pp. 55 - 73
Copyright
Copyright © Cambridge University Press 1992

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