IGNITION OF A COMBUSTIBLE SOLID WITH REACTANT CONSUMPTION.

D. Glenn Lasseigne*, W. E. Olmstead

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 languageEnglish (US)
Pages (from-to)332-342
Number of pages11
JournalSIAM Journal on Applied Mathematics
Volume47
Issue number2
DOIs
StatePublished - 1987

ASJC Scopus subject areas

  • Applied Mathematics

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