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On the critical conditions for an assembly of interacting thermons

Published online by Cambridge University Press:  17 February 2009

B. F. Gray
B. F. Gray
Affiliation:
School of Chemistry, Macquarie University, Sydney, Australia.
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Abstract

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The interaction of a number of self-heating bodies depositing heat into a common finite heat bath and thereby influencing each other is a problem of great practical importance in many areas including storage and transport of self-heating materials, drums of chemicals, foodstuffs etc. Critical conditions for the complete assembly of interacting heat producers (thermons) are derived under various assumptions and modes of ignition are identified. These include cooperative modes as well as modes which are simply perturbations of ignition for single thermons.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 1 , July 2001 , pp. 1 - 11
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Aris, R., “Mathematical theory of diffusion and reaction in permeable catalysts”, 1 (Oxford University Press, 1975), pp. 329–345.Google Scholar
[2]Bowes, P. C., Self heating: evaluating and controlling the hazards (H. M. Stationery Office, 1984).Google Scholar
[3]Clancey, V. J., “Fire hazards of calcium hypochlorite”, J. Haz. Materials 1 (1976) 83–94.CrossRefGoogle Scholar
[4]Gidas, B., Ni, W. M. and Nirenberg, L., “Symmetry and related properties via the maximum principle”, Commun. Math. Physics 68 (1979) 209–243.CrossRefGoogle Scholar
[5]Gray, B. F., “Critical behaviour in chemically reacting systems I. Difficulties with the Semenov theory”, Comb. Flame 21 (1993) 313–316.Google Scholar
[6]Gray, B. F. and Gonda, I., “Effect of small-amplitude periodic parameter variation in thermokinetic systems”, J. Chem. Soc. Faraday Trans. 2 79 (1983) 1729–1740.Google Scholar
[7]Gray, B. F. and Jones, J. C., “Critical behaviour in layered media”, Comb. Flame 40 (1981) 35–43.Google Scholar
[8]Scott, S. K., “Thermal explosion of dispersed media”, J. Chem. Soc. Trans. Faraday 2 80 (1984) 1555–1568.CrossRefGoogle Scholar