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A note on travelling waves in competitive reaction systems


Forbes, LK, A note on travelling waves in competitive reaction systems, ANZIAM Journal, 55, (1) pp. 1-13. ISSN 1446-1811 (2013) [Refereed Article]

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Copyright Statement

Copyright 2013 Australian Mathematical Society

DOI: doi:10.1017/S1446181113000333


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.

Item Details

Item Type:Refereed Article
Keywords:combustion model, competing reactions, travelling wave, asymptotic analysis, phase plane
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:88380
Year Published:2013
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2014-01-31
Last Modified:2018-04-16

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