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A Comparison of Two- and Three-variable Models for Combustion in Sealed Containers


Treham, CE and Forbes, LK, A Comparison of Two- and Three-variable Models for Combustion in Sealed Containers, Anziam Journal, 47, (4) pp. 527-540. ISSN 1446-1811 (2006) [Refereed Article]

DOI: doi:10.1017/S1446181100010117


This paper analyses a model for combustion of a self-heating chemical (such as pool chlorine), stored in drums within a shipping container. The system is described by three coupled nonlinear differential equations for the concentration of the chemical, its temperature and the temperature within the shipping container. Self-sustained oscillations are found to occur, as a result of Hopf bifurcation. Temperature and concentration profiles are presented and compared with the predictions of a simpler two-variable approximation for the system. We study the period of oscillation and its variation with respect to the ambient temperature and the reaction parameter. Nonlinear resonances are found to exist, as the solution jumps between branches having different periods. © Australian Mathematical Society 2006.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Ordinary differential equations, difference equations and dynamical systems
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the chemical sciences
UTAS Author:Treham, CE (Mrs Claire Hotan)
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:41165
Year Published:2006
Deposited By:Mathematics
Deposited On:2006-08-01
Last Modified:2012-03-05

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