Document Type

Article

Publication Date

1987

DOI

10.1137/0147021

Publication Title

SIAM Journal on Applied Mathematics

Volume

47

Issue

2

Pages

332-342

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. © 1987 Society for Industrial and Applied Mathematics

Original Publication Citation

Lasseigne, D. G., & Olmstead, W. E. (1987). Ignition of a combustible solid with reactant consumption. SIAM Journal on Applied Mathematics, 47(2), 332-342. doi:10.1137/014702

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