IGNITION OF A COMBUSTIBLE SOLID WITH REACTANT CONSUMPTION.

D. Glenn Lasseigne; W. E. Olmstead

doi:10.1137/0147021

IGNITION OF A COMBUSTIBLE SOLID WITH REACTANT CONSUMPTION.

D. Glenn Lasseigne^*, W. E. Olmstead

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	332-342
Number of pages	11
Journal	SIAM Journal on Applied Mathematics
Volume	47
Issue number	2
DOIs	https://doi.org/10.1137/0147021
State	Published - 1987

ASJC Scopus subject areas

Applied Mathematics

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10.1137/0147021

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title = "IGNITION OF A COMBUSTIBLE SOLID WITH REACTANT CONSUMPTION.",

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.",

author = "{Glenn Lasseigne}, D. and Olmstead, {W. E.}",

year = "1987",

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language = "English (US)",

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AU - Olmstead, W. E.

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N2 - 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.

AB - 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.

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AN - SCOPUS:0023329152

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JO - SIAM Journal on Applied Mathematics

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IS - 2

ER -

IGNITION OF A COMBUSTIBLE SOLID WITH REACTANT CONSUMPTION.

Abstract

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