Two-dimensional cellular burner-stabilized flames

R. Kuske*, B. J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider the behavior of a premixed flame anchored on a flat burner. For Lewis numbers L < L < 1, one-dimensional stationary spatially periodic solutions corresponding to stationary one-dimensional cellular flames (rolls) bifurcate from the basic solution which corresponds to a steady planar flame. We derive and analyze an equation for the evolution of the amplitude of the roll solution just beyond the critical Lewis number L. That is, we consider the case of supercritical bifurcation (L < L) and determine the ranges of wave numbers of perturbations corresponding to both the Eckhaus instability (to longitudinal perturbations) and the zigzag instability (to transverse perturbations) of the bifurcating solution.

Original languageEnglish (US)
Pages (from-to)665-688
Number of pages24
JournalQuarterly of Applied Mathematics
Issue number4
StatePublished - 1994

ASJC Scopus subject areas

  • Applied Mathematics


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