Spiral gasless condensed phase combustion

Bernard J Matkowsky*, Vladimir Volpert

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


This paper studies combustion fronts propagating on and in a thin disk composed of a solid combustible mixture after ignition in a cylindrical region of radius r0. A basic solution is constructed that describes an outward propagating circular front of radius R(τ) on the upper surface of the disk. Since the scales of the combustion process (diffusion and reaction) are much smaller than even τ0, a perturbation analysis is employed for large R. This analysis corresponds to the situation in which the conditions of ignition no longer affect propagation.

Original languageEnglish (US)
Pages (from-to)132-146
Number of pages15
JournalSIAM Journal on Applied Mathematics
Issue number1
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Applied Mathematics


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