Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Ignition or nonignition of a combustible solid with marginal heating

Authors: D. Glenn Lasseigne and W. E. Olmstead
Journal: Quart. Appl. Math. 49 (1991), 303-312
MSC: Primary 80A25
DOI: https://doi.org/10.1090/qam/1106394
MathSciNet review: MR1106394
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Abstract: The possibility of achieving ignition of a combustible solid with only marginal external heating is investigated. The heating barely raises the temperature to a level where reaction occurs. A parameter indicating the duration of time spent near the crucial level governs the ignition process. If the parameter is below a critical value, no thermal runaway can occur; if it is sufficiently large, ignition will be achieved.

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DOI: https://doi.org/10.1090/qam/1106394
Article copyright: © Copyright 1991 American Mathematical Society

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