ON THE STABILITY OF PLANE AND CURVED FLAMES.

Moshe Matalon, B. J. Matkowsky

Research output: Contribution to journalArticle

Abstract

Theoretical studies on flame stability have generally been based on one of two approaches: (i) the hydrodynamic model which accounts for thermal expansion due to combustion, but ignores flame structure, and (ii) the diffusional-thermal model which considers flame structure in a prescribed constant density flow, thus ignoring thermal expansion. The present study is based on a model in which both thermal expansion and flame structure are accounted for. The model describes the dynamics of flame fronts including their stability. The stability of plane and curved flames is discussed, and the effect of flame stretch, thermal expansion, Lewis number and Prandtl number, on stability is determined.

Original languageEnglish (US)
Pages (from-to)327-343
Number of pages17
JournalSIAM Journal on Applied Mathematics
Volume44
Issue number2
DOIs
StatePublished - Jan 1 1984
Externally publishedYes

Fingerprint

Flame
Thermal expansion
Thermal Expansion
Prandtl number
Hydrodynamics
Thermal Model
Hydrodynamic Model
Stretch
Combustion
Model

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

ON THE STABILITY OF PLANE AND CURVED FLAMES. / Matalon, Moshe; Matkowsky, B. J.

In: SIAM Journal on Applied Mathematics, Vol. 44, No. 2, 01.01.1984, p. 327-343.

Research output: Contribution to journalArticle

Matalon, Moshe ; Matkowsky, B. J. / ON THE STABILITY OF PLANE AND CURVED FLAMES. In: SIAM Journal on Applied Mathematics. 1984 ; Vol. 44, No. 2. pp. 327-343.
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