Dold, J W
(1989)
*Analysis of thermal runaway in the ignition process.*
SIAM J. Appl. Math., 49 (2).
pp. 459-480.

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## Abstract

The evolution of a thermal runaway event is studied from the time a self-sustained temperature growth first sets in to the time deflagration flames begin to emerge. Proper modeling of the effect of conduction on the distribution of temperature growth reveals that it enhances the overall rate of release of chemical energy. It is shown that this contributes to the likelihood of substantial pressure increases being produced at some stage, and a criterion is identified for this to happen. In the absence of such pressure effects, the results are valid over a wide range of degrees of supercriticality, from marginal cases to cases in which conductive heat losses start off being very small indeed.

Item Type: | Article |
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Uncontrolled Keywords: | combustion, supercritical, unsteady, thermal runaway, bifurcation, ignition kernel, hot spot, Arrhenius kinetics |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 41 Approximations and expansions PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 80 INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY > 82 Physical chemistry and chemical physics molecular physics |

Depositing User: | Prof John Dold |

Date Deposited: | 23 May 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/806 |

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