On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere

RO Weber*, G. C. Wake, H. S. Sidhu, G. N. Mercer, BF Gray, W Derrick, E Balakrishnan

*Corresponding author for this work

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Abstract

Steady state solutions for spontaneous thermal ignition in a unit sphere are considered. The multiplicity of unstable, intermediate, steady state, temperature profiles is calculated and shown for selected parameter values. The crossing of the temperature profiles corresponding to the unstable, intermediate, steady states is exhibited in a particular case and is proven in general using elementary ideas from analysis. Estimates of the location of crossing points are given.

Original languageEnglish
Pages (from-to)77-85
Number of pages9
JournalANZIAM Journal
Volume43
Issue number1
DOIs
Publication statusPublished - Jul 2001
EventMeeting on Combustion in honor of Brian Gray - MOLLYMOOK, Australia
Duration: 11 Feb 199912 Feb 1999

Keywords

  • CRITICAL INITIAL CONDITIONS

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