Stochastic description of premixed turbulent combustion in terms of a coarse-grained flame surface density

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Abstract

The problem of premixed turbulent combustion has been formulated in terms of a stochastic differential equation for a coarse-grained flame surface density (FSD). A closed equation for the one point probability density function (PDF) for FSD has been derived, using the functional derivative technique, together with the assumption that the convection velocity and flame stretch are homogeneous, isotropic, Gaussian random fields with many spatial scales and rapid oscillations in time. It has been shown that in the homogeneous case, the stationary PDF can be obtained analytically. It has been demonstrated that the most probable value of FSD that is preferentially observed in an experiment might be considerably different from its ensemble mean value. This observation suggests that the turbulent combustion cannot be generally characterized by the mean values of relevant parameters.

Original languageEnglish
Pages (from-to)369-376
Number of pages8
JournalCombustion and Flame
Volume106
Issue number4
DOIs
Publication statusPublished - 1 Jan 1996

Keywords

  • Computer simulation
  • Differential equations
  • Flame research
  • Oscillations
  • Coarse grained flame surface density
  • Functional derivative technique
  • Premixed turbulent combustion
  • Combustion
  • combustion
  • mathematical analysis
  • mathematical model
  • physics
  • priority journal
  • review
  • stochastic model

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