Diffusive-thermal instabilities in premixed flames: Stepwise ignition-temperature kinetics

Irina Brailovsky, Peter V. Gordon, Leonid Kagan, Gregory Sivashinsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This study is motivated by the observation that in combustion of hydrogen-oxygen/air and ethylene-oxygen mixtures the global activation energy appears to be high at low enough temperatures and low at high enough temperatures, reflecting the complex nature of the underlying chemistry. Stability analysis of a uniformly propagating planar premixed flame controlled by a stepwise ignition-temperature kinetics (representing the activation energy temperature-dependence) is carried out. It is shown that, for all its schematic nature, the diffusive-thermal model based on the ignition-temperature kinetics reproduces quite successfully the basic features of both cellular and pulsating instabilities typical of low and high Lewis number mixtures.

Original languageEnglish
Pages (from-to)2077-2086
Number of pages10
JournalCombustion and Flame
Issue number5
StatePublished - 1 May 2015


FundersFunder number
Simons Foundation317882
United States-Israel Binational Science Foundation2012-057
Israel Science Foundation335/13


    • Cellular flames
    • Diffusive-thermal instabilities in flames
    • Pattern formation in reaction-diffusion systems
    • Pulsating flames


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