The propagation and inhibition of an exothermic branched-chain flame with an endothermic reaction and radical scavenging

A. Lazarovici, S. Kalliadasis, J. H. Merkin, S. K. Scott, P. L. Simon

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3 Citations (Scopus)


The effects of the endothermic decomposition of an inhibitory species W to form a radical scavenger on a laminar, pre-mixed flame supported by an exothermic second-order branching reaction are considered. This work extends a previous study, where the effects of the radical scavenger S were ignored. Two cases are identified, dependent on a parameter β measuring the relative rate of the decomposition of W. These are described by an high-activation-energy asymptotic analysis and through numerical integration of the propagating-flame equations for representative parameter values. For larger values of β the effect of the radical scavenger is to introduce a critical value of the heat-loss parameter α for flame propagation. For smaller values of β, where there is a critical value of α without any S being produced, the effect is to lower this critical value. In both cases the effect of the radical scavenger is to reduce the propagation speed and, if sufficient amounts of S are produced from the decomposition of W, to totally suppress flame propagation, even without any heat loss.

Original languageEnglish
Pages (from-to)41-55
Number of pages15
JournalJournal of Engineering Mathematics
Issue number1
Publication statusPublished - May 1 2004



  • Combustion
  • Endothermic inhibition
  • High-activation-energy asymptotics
  • Propagating flames
  • Radical scavenger

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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