ACCELERATION EFFECTS ON THE STABILITY OF FLAME PROPAGATION.

B. J. Matkowsky*, G. I. Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The effect of acceleration on the diffusional thermal instability of a plane flame front in a premixed gaseous mixture is considered. It is recalled that the diffusional thermal instability occurs if the Lewis number L of the mixture is less than a critical value L//0. It is shown that the diffusional thermal instability is inhibited if the acceleration in the direction of the cold unburned gas is sufficiently high. If the acceleration is sufficiently low, plane flames are unstable, and perturbations of the flame front may evolve to fronts exhibiting cellular structure. Thus it is possible to explain the phenomenon that for some mixtures, cellular fronts are observed only for upward propagating flames, while downward propagating plane flames remain stable.

Original languageEnglish (US)
Pages (from-to)669-685
Number of pages17
JournalSIAM Journal on Applied Mathematics
Volume37
Issue number3
DOIs
StatePublished - Jan 1 1979

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Flame
Propagation
Critical value
Gases
Unstable
Hot Temperature
Perturbation

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

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abstract = "The effect of acceleration on the diffusional thermal instability of a plane flame front in a premixed gaseous mixture is considered. It is recalled that the diffusional thermal instability occurs if the Lewis number L of the mixture is less than a critical value L//0. It is shown that the diffusional thermal instability is inhibited if the acceleration in the direction of the cold unburned gas is sufficiently high. If the acceleration is sufficiently low, plane flames are unstable, and perturbations of the flame front may evolve to fronts exhibiting cellular structure. Thus it is possible to explain the phenomenon that for some mixtures, cellular fronts are observed only for upward propagating flames, while downward propagating plane flames remain stable.",
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ACCELERATION EFFECTS ON THE STABILITY OF FLAME PROPAGATION. / Matkowsky, B. J.; Sivashinsky, G. I.

In: SIAM Journal on Applied Mathematics, Vol. 37, No. 3, 01.01.1979, p. 669-685.

Research output: Contribution to journalArticle

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