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Porous medium combustion: ignition, temporal evolution, and parameter dependence

Published online by Cambridge University Press:  17 February 2009

K. K. Tam
K. K. Tam
Affiliation:
Department of Mathematics and Statistics, McGill University, Montrélal, Québec.
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Abstract

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A model for the combustion of a porous medium is considered for an infinite slab. The case of ignition by an initial temperature distribution is considered first. The influence of the initial data and parameters on the solution is inferred from the solution of a related ordinary differential equation. The case of ignition by heating on one side of the slab is then considered in the same manner.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 1 , July 1991 , pp. 16 - 26
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Carrier, G. F., “Analytic approximation techniques in applied mathematics”, SIAM J. Appl. Math. 13 (1965) 68–95.CrossRefGoogle Scholar
[2]Norbury, J. and Stuart, A. M., “A model for porous medium combustion”, Q. J. Mech. Appl. Math. 42 (1989) 154–178.CrossRefGoogle Scholar
[3]Norbury, J. and Stuart, A. M.;, “Travelling combustion waves in a porous medium Part I.-existence,” SIAM J. Appl. Math. 48 (1988) 155–169.CrossRefGoogle Scholar
[4]Norbury, J. and Stuart, A. M., “Travelling combustion waves in a porous medium Part II.-stability,” SIAM J. Appl. Math. 48 (1988) 374–392.CrossRefGoogle Scholar
[5]Tam, K. K., “Travelling wave solutions for combustion in a porous medium,” Studies in Appl. Math. (1989) 249–262.CrossRefGoogle Scholar