Pattern formation in flame spread over thin solid fuels

L. Kagan, G. Sivashinsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


The fingering char pattern emerging on the surface of thin cellulosic sheets burning against an oxidizing wind is discussed. Employing collocation-based averaging, the assumption of diffusive-thermal equilibrium, the strong temperature dependence of the reaction rate, and the strong disparity between the densities of the solid and gaseous phases, an elementary two-dimensional free-interface model for the flame spread is formulated. It is shown that the pattern-forming dynamics is functionally akin to the well-studied cellular instability occurring in low Lewis number premixed gas flames.

Original languageEnglish
Pages (from-to)269-281
Number of pages13
JournalCombustion Theory and Modelling
Issue number2
StatePublished - Apr 2008


FundersFunder number
European Community ProgramRTN-HPRN-CT-2002-00274
United States-Israel Binational Science Foundation200-2008
Israel Science Foundation350/05


    • Combustion instability
    • Heterogeneous combustion
    • Reverse combustion


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