A competitive reaction system is considered, under which some chemical reagent decays by means of two simultaneous chemical reactions to form two separate inert products. One reaction is exothermic, and the other is endothermic. The governing equations for the model are presented, and a weakly nonlinear theory is then generated using the method of strained coordinates. Travelling-wave solutions are possible in the model, and the temperature is found to have a classical sech-squared profile. The stability of these moderate-amplitude temperature solitons is confirmed both analytically and numerically.

Item Type:	Refereed Article
Keywords:	asymptotic analysis, combustion, solitons, stability, strained coordinates, travelling waves
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:	82412
Year Published:	2013
Web of Science® Times Cited:	7
Deposited By:	Mathematics and Physics
Deposited On:	2013-02-01
Last Modified:	2016-11-03
Downloads:	1 View Download Statistics