Abstract
The effects of excessive reactant consumption on the ignition of a combustible solid are introduced through a revised scaling of the heat release constant. Large activation energy asymptotics then yields a new one-parameter integral equation governing the temperature evolution near ignition. Analysis of the integral equation reveals a critical value of the parameter which distinguishes between the cases of ignition and nonignition.
Original language | English (US) |
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Pages (from-to) | 332-342 |
Number of pages | 11 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 47 |
Issue number | 2 |
DOIs | |
State | Published - 1987 |
ASJC Scopus subject areas
- Applied Mathematics