Linear stability of a plane front in solid combustion at large heat of reaction

Varas, Fernando and Vega de Prada, José Manuel (2002). Linear stability of a plane front in solid combustion at large heat of reaction. "SIAM Journal on Applied Mathematics", v. 62 (n. 5); pp. 1810-1822. ISSN 0036-1399. https://doi.org/10.1137/S0036139901386417.

Description

Title: Linear stability of a plane front in solid combustion at large heat of reaction
Author/s:
  • Varas, Fernando
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: SIAM Journal on Applied Mathematics
Date: June 2002
ISSN: 0036-1399
Volume: 62
Subjects:
Freetext Keywords: solid combustion, pyrotechnic mixtures, delay detonators, plane fronts
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

The existence and linear stability of a uniformly propagating plane front in solid combustion are considered under the assumption of a large heat of reaction, which is of interest in pyrotechnic mixtures. The Zel'dovich number is not necessarily large, and the chemical reaction is not confined to a reaction sheet for typical values of the parameters. Thus the effective calculation of the fronts and the analysis of their stability rely on qualitative methods and on some numerics. It is seen that there is always a minimum burning rate and that the front is stable only if the heat of reaction is sufficiently large. A comparison is made with analytical results obtained from a phenomenological delta-function model.

More information

Item ID: 6033
DC Identifier: http://oa.upm.es/6033/
OAI Identifier: oai:oa.upm.es:6033
DOI: 10.1137/S0036139901386417
Official URL: http://www.jstor.org/stable/3648737
Deposited by: Memoria de Investigacion 2
Deposited on: 16 Feb 2011 12:09
Last Modified: 20 Apr 2016 14:41
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