EXPANDING FLAMES MAY DELAY THE TRANSITION TO CELLULAR STRUCTURES.

Moshe Matalon, Thomas Erneux

Research output: Contribution to journalArticle

Abstract

The authors derive a general equation for the evolution of flame fronts in weakly nonuniform flows. The equation is restricted to a particular range of Lewis numbers and describes the transition to cellular structures. This transition is analyzed for an expanding curved flame. Linear stability reveals that cells may appear at a larger radius than for the nonexpanding case. A nonlinear analysis describing the transition for slowly varying flames is also presented.

Original languageEnglish (US)
Pages (from-to)734-744
Number of pages11
JournalSIAM Journal on Applied Mathematics
Volume44
Issue number4
DOIs
StatePublished - Jan 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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