On the pulsating instability of two-dimensional flames

Alvarez Pereira, Carlos and Vega de Prada, José Manuel (1992). On the pulsating instability of two-dimensional flames. "European Journal of Applied Mathematics", v. 3 (n. 1); pp. 55-73. ISSN 0956-7925. https://doi.org/10.1017/S0956792500000681.

Description

Title: On the pulsating instability of two-dimensional flames
Author/s:
  • Alvarez Pereira, Carlos
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: European Journal of Applied Mathematics
Date: 1992
ISSN: 0956-7925
Volume: 3
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 6153
DC Identifier: http://oa.upm.es/6153/
OAI Identifier: oai:oa.upm.es:6153
DOI: 10.1017/S0956792500000681
Official URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=2317024
Deposited by: Memoria de Investigacion 2
Deposited on: 24 Feb 2011 09:42
Last Modified: 20 Apr 2016 15:27
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