Nonlinear Stability and Bifurcation in the Transition from Laminar to Turbulent Flame Propagation

Stephen B. Margolis, Bernard J. Matkowsky

Research output: Contribution to journalArticlepeer-review

60 Scopus citations

Abstract

We review recent analytical results in the theory of transition from laminar to turbulent premixed flame propagation. We exploit the fact that the overall activation energy is large to formally derive dynamical flame sheet models, which are then used to predict instability thresholds as functions of the various parameters in the problem, at which steps in the transition occur. Employing perturbation techniques, we then describe bifurcations from a steady, planar flame to both pulsating and cellular modes of propagation. These nonsteady, nonplanar propagation modes represent intermediate stages in the evolution from laminar to turbulent combustion.

Original languageEnglish (US)
Pages (from-to)45-77
Number of pages33
JournalCombustion science and technology
Volume34
Issue number1-6
DOIs
StatePublished - Oct 1 1983

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Physics and Astronomy(all)

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