Stephen B. Margolis*, Bernard J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The steady propagation of a flame through a premixed combustible mixture is studied for the case in which the mixture consists of two distinct fuels. The method of matched asymptotic expansions is used to derive a solution for large activation energies, in which case both chemical reactions are confined to a thin layer. The (small) separation distance H between the points where the two reactions go to completion and the propagation velocity U are determined as functions of such quantities as Lewis numbers, activation energies, Damkohler numbers and heat release fractions. The formula for H represents a relative measure of the flame thickness in terms of standard parameters, while that for U determines the role of each reaction in the overall flame speed.

Original languageEnglish (US)
Pages (from-to)982-1003
Number of pages22
JournalSIAM Journal on Applied Mathematics
Issue number5
StatePublished - Jan 1 1982

ASJC Scopus subject areas

  • Applied Mathematics

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