Author:
Weber R. O.,Wake G. C.,Sidhu H. S.,Mercer G. N.,Gray B. F.,Derrick W.,Balakrishnan E.
Abstract
AbstractSteady 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.
Publisher
Cambridge University Press (CUP)
Subject
Mathematics (miscellaneous)
Cited by
1 articles.
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1. On Critical Conditions for Thermal Ignition;47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition;2009-01-05