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On the pulsating instability of two-dimensional flames
Citation
Alvarez Pereira, Carlos and Vega de Prada, José Manuel 
ORCID: https://orcid.org/0000-0002-4307-9623
(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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://oa.upm.es/6153/ |
| OAI Identifier: | oai:oa.upm.es:6153 |
| DOI: | 10.1017/S0956792500000681 |
| Official URL: | http://journals.cambridge.org/action/displayAbstra... |
| Deposited by: | Memoria de Investigacion 2 |
| Deposited on: | 24 Feb 2011 09:42 |
| Last Modified: | 20 Apr 2016 15:27 |
