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A NOTE ON TRAVELLING WAVES IN COMPETITIVE REACTION SYSTEMS

Part of:Thermodynamics and heat transfer

Published online by Cambridge University Press:  26 November 2013

LAWRENCE K. FORBES
LAWRENCE K. FORBES*
Affiliation:
School of Mathematics and Physics, University of Tasmania, Private Bag 37, Hobart, Tasmania 7001, Australia
*
Larry.Forbes@utas.edu.au
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Abstract

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This note considers an established reaction–diffusion model for a combustion system, in which there are competing endothermic and exothermic reaction pathways. A combustion front is assumed to move at constant speed through the medium. An asymptotic theory is presented for solid fuels in which material diffusion is ignored, and it allows a simple and complete analysis of the approximate system in the phase plane. Both the adiabatic and nonadiabatic cases are discussed.

Keywords

combustion modelcompeting reactionstravelling waveasymptotic analysisphase plane

MSC classification

Secondary:80A30: Chemical kinetics

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 55 , Issue 1 , July 2013, pp. 1 - 13
Copyright
Copyright ©2013 Australian Mathematical Society 

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