INTERACTION OF PULSATING AND SPINNING WAVES IN NONADIABATIC FLAME PROPAGATION.

Michael R. Booty*, Stephen B. Margolis, Bernard J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We consider nonadiabatic premixed flame propagation in a long cylindrical channel. A steadily propagating planar flame exists for heat losses below a critical value. It is stable provided that the Lewis number and the volumetric heat loss coefficient are sufficiently small. At critical values of these parameters, bifurcated states, corresponding to time-periodic pulsating cellular flames, emanate from the steadily propagating solution. We analyze the problem in a neighborhood of a multiple primary bifurcation point. By varying the radius of the channel, we split the multiple bifurcation point and show that various types of stable periodic and quasi-periodic pulsating flames can arise as secondary, tertiary, and quaternary bifurcations. Our analysis describes several types of spinning and pulsating flame propagation which have been experimentally observed in nonadiabatic flames, and also describes additional quasi-periodic modes of burning which have yet to be documented experimentally.

Original languageEnglish (US)
Pages (from-to)1241-1286
Number of pages46
JournalSIAM Journal on Applied Mathematics
Volume47
Issue number6
DOIs
StatePublished - Jan 1 1987

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'INTERACTION OF PULSATING AND SPINNING WAVES IN NONADIABATIC FLAME PROPAGATION.'. Together they form a unique fingerprint.

Cite this