IGNITION OF A COMBUSTIBLE HALF SPACE.

W. E. Olmstead*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 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 languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalSIAM Journal on Applied Mathematics
Volume43
Issue number1
DOIs
StatePublished - Jan 1 1983

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'IGNITION OF A COMBUSTIBLE HALF SPACE.'. Together they form a unique fingerprint.

Cite this