IGNITION OF A COMBUSTIBLE HALF SPACE.

W. E. Olmstead

doi:10.1137/0143001

IGNITION OF A COMBUSTIBLE HALF SPACE.

W. E. Olmstead^*

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

A half space of combustible material is subjected to an arbitrary energy flux at the boundary where convection heat loss is also allowed. An asymptotic analysis of the temperature growth reveals two conditions necessary for ignition to occur. Cases of both large and order unity Lewis number are shown to lead to a nonlinear integral equation governing the thermal runaway. Some global and asymptotic properties of the integral equation are obtained.

Original language	English (US)
Pages (from-to)	1-15
Number of pages	15
Journal	SIAM Journal on Applied Mathematics
Volume	43
Issue number	1
DOIs	https://doi.org/10.1137/0143001
State	Published - Jan 1 1983

ASJC Scopus subject areas

Applied Mathematics

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abstract = "A half space of combustible material is subjected to an arbitrary energy flux at the boundary where convection heat loss is also allowed. An asymptotic analysis of the temperature growth reveals two conditions necessary for ignition to occur. Cases of both large and order unity Lewis number are shown to lead to a nonlinear integral equation governing the thermal runaway. Some global and asymptotic properties of the integral equation are obtained.",

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AB - A half space of combustible material is subjected to an arbitrary energy flux at the boundary where convection heat loss is also allowed. An asymptotic analysis of the temperature growth reveals two conditions necessary for ignition to occur. Cases of both large and order unity Lewis number are shown to lead to a nonlinear integral equation governing the thermal runaway. Some global and asymptotic properties of the integral equation are obtained.

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IGNITION OF A COMBUSTIBLE HALF SPACE.

Abstract

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