B. J. Matkowsky*, D. O. Olagunju

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


A diffusional-thermal model describing the combustion of a premixed gas in a cylindrical domain is considered. It is shown that a uniformly propagating plane flame is unstable when the Lewis number L exceeds a critical value L//c . A nonlinear analysis is employed to show that for L greater than L//c various types of solutions bifurcate from the uniformly propagating plane flame. The bifurcated solutions describe pulsating flames whose spatial distribution corresponds to combinations of axial, radial and tangential modes. The tangential modes are of two types, corresponding to standing waves on, and to traveling waves propagating in both clockwise and counterclockwise directions around, the cylinder. The latter describe spinning waves in which a hot spot (or spots) (local temperature maximum) propagates in a helical motion around the axis of the cylinder. Both single and multi-headed spins are obtained.

Original languageEnglish (US)
Pages (from-to)1138-1156
Number of pages19
JournalSIAM Journal on Applied Mathematics
Issue number5
StatePublished - Jan 1 1982

ASJC Scopus subject areas

  • Applied Mathematics


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