Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-14T08:00:09.755Z Has data issue: false hasContentIssue false
  • English
  • Français

Computation of critical parameters for a problem in combustion theory

Published online by Cambridge University Press:  17 February 2009

K. K. Tam
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

An iteration scheme previously obtained by the author is used to study the dependence of criticality on initial data and the parameters in a combustion problem. Numerical results are presented for a slab, a cylinder and a sphere. These are compared with the results of previous workers.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 1 , July 1982, pp. 40 - 46
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Fenaughty, K. F., Lacey, A. A. and Wake, C. G., “The disappearance of criticality for small activation energy with arbitrary Biot number”, Combustion and Flame (to appear).Google Scholar
[2]Kordylewski, W., “Degenerate critical points of thermal explosion”, Komunikat I-20/K-020/78, Technical University of Wroclaw, (1978).Google Scholar
[3]Tam, K. K., “Initial data and criticality for a problem in combustion theory”, J. Math. Anal. Applic. 77 (1980), 626–634.CrossRefGoogle Scholar
[4]Tam, K. K., “On the influence of the initial data in a combustion problem”, J. Austral. Math. Soc. B22 (1980), 193–209.CrossRefGoogle Scholar
[5]Tam, K. K., “On the disappearance of criticality in the theory of thermal ignition”, Z. Angew. Math. Phys. 31 (1980), 762–766.CrossRefGoogle Scholar