The curvature Markstein length and the definition of flame displacement speed for stationary spherical flames

G. K. Giannakopoulos, M. Matalon, C. E. Frouzakis, A. G. Tomboulides

Research output: Contribution to journalArticle

Abstract

The separate effects of flame stretch and flame curvature are investigated in the present study considering a stationary spherical flame configuration that experiences no stretch but has a finite curvature. A theoretical expression for the flame displacement speed, derived from asymptotic analysis, is compared with numerical simulations exhibiting very good agreement between the two. The notion of the curvature Markstein length is introduced, a coefficient which is independent from diffusion and chemical reaction effects, in contrast to the Markstein length associated with total flame stretch. It is shown that its value depends strongly on the iso-surface chosen to define the flame, exhibiting large variations in the preheat zone and more insensitive behavior close to the burned side.

Original languageEnglish (US)
Pages (from-to)737-743
Number of pages7
JournalProceedings of the Combustion Institute
Volume35
Issue number1
DOIs
StatePublished - Jan 1 2015

Keywords

  • Flame curvature
  • Flame stretch
  • Laminar premixed propane flame
  • Markstein length
  • Stationary spherical flame

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Mechanical Engineering
  • Physical and Theoretical Chemistry

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