TRAVELING WAVES ALONG THE FRONT OF A PULSATING FLAME.

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

*Corresponding author for this work

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

A diffusional-thermal model describing the combustion of a premixed gas is considered. It is shown that a uniformly propagating plane flame is unstable to two-dimensional disturbances when the Lewis number L exceeds a critical value L//c. A nonlinear analysis is used to show that for L greater than L//c two types of solutions bifurcate from the uniformly propagating plane flame. One type corresponds to a pulsating flame with traveling waves along its front while the other corresponds to a pulsating flame with standing waves along its front. The latter describes a pulsating cellular flame. A linear stability analysis of the bifurcated states shows that the traveling wave solutions are stable and the pulsating cellular solutions are unstable. The analysis also shows than the average speeds of the pulsating solutions are less than that of the uniformly propagating plane flame.

Original languageEnglish (US)
Pages (from-to)486-501
Number of pages16
JournalSIAM Journal on Applied Mathematics
Volume42
Issue number3
DOIs
StatePublished - 1982

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'TRAVELING WAVES ALONG THE FRONT OF A PULSATING FLAME.'. Together they form a unique fingerprint.

  • Cite this