Ignition of a rectangular solid by an external heat flux

Vázquez Espí, Carlos and Liñán Martínez, Amable (1994). Ignition of a rectangular solid by an external heat flux. "Siam Journal on Applied Mathematics", v. 54 (n. 5); pp. 1181-1202. ISSN 0036-1399.

Description

Title: Ignition of a rectangular solid by an external heat flux
Author/s:
  • Vázquez Espí, Carlos
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: Siam Journal on Applied Mathematics
Date: October 1994
ISSN: 0036-1399
Volume: 54
Subjects:
Freetext Keywords: Approximation theory; Combustion; Convergence of numerical methods; Heat conduction; Mathematical models; Nonlinear equations; Numerical analysis; Reaction kinetics; Solids; Temperature; Activation energy asymptotics; Hot spots; Thermal runaway; Ignition
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 influence of corners on the ignition of a solid exposed to a surface energy flux is analyzed with large activation energy asymptotics. We begin with the analysis of the ignition of semi-infinite wedges by a constant heat flux. Two stages and two spatial zones, reactive and inert, are found. The ignition stage can be described by a slowly convergent asymptotic expansion for the increment in temperature due to the chemical reaction or, more accurately, by a simplified nonlinear parabolic equation to be solved numerically. This analysis applies to the ignition of two-dimensional finite bodies with corners if the external heat flux is large enough for the size of the reaction zone to be much smaller than that of the solid. The ignition of bodies with rectangular shape for small heat fluxes, when the reaction zone extends to the whole solid, is also analyzed.

More information

Item ID: 803
DC Identifier: http://oa.upm.es/803/
OAI Identifier: oai:oa.upm.es:803
Official URL: http://link.aip.org/link/?SMM/54/1181/1
Deposited by: Archivo Digital UPM
Deposited on: 02 Jan 2008
Last Modified: 20 Apr 2016 06:32
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