ON THE NONLINEAR THEORY OF HYDRODYNAMIC INSTABILITY IN FLAMES.

G. I. Sivashinsky*, P. Clavin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Scopus citations

Abstract

In the context of the weak thermal-expansion approximation, we derive an equation describing flame front dynamics under conditions of Darrieus-Landau instability. We show that the second-order theory leads to an evolution equation that differs from that of the first-order theory only in its coefficients. We also discuss a hydrodynamic flame model based on the equations for purely irrotational flow of the gas.

Original languageEnglish
Pages (from-to)193-198
Number of pages6
JournalJournal De Physique
Volume48
Issue number2
StatePublished - Feb 1987

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