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2007.86: Analysis of thermal runaway in the ignition process

2007.86: J W Dold (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
Uncontrolled Keywords:combustion, supercritical, unsteady, thermal runaway, bifurcation, ignition kernel, hot spot, Arrhenius kinetics
Subjects:MSC 2000 > 35 Partial differential equations
MSC 2000 > 41 Approximations and expansions
PACS 2003 > 82 Physical chemistry and chemical physics molecular physics
MIMS number:2007.86
Deposited By:Prof John Dold
Deposited On:23 May 2007

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