A reduced model for flame-flow interaction

P. Gordon*, M. Frankel, G. Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The paper is concerned with an extension of the classical relation between the flame speed and the curvature-flow stretch, valid only for high Lewis numbers (diffusively stable flames). At low Lewis numbers the corresponding flame-flow system suffers short-wavelength instability, making the associated initial value problem ill-posed. In this study the difficulty is resolved by incorporation of higher-order effects. As a result one ends up with a reduced model based on a coupled system of second-order dynamic equations for the flame interface and its temperature. As an illustration the new model is applied for description of diffusively unstable stagnation-point flow flames.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalMathematical Modelling of Natural Phenomena
Issue number2
StatePublished - Jan 2007


  • flame stretch
  • instabilities in flames
  • premixed flames


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