Asymptotic modelling of self-acceleration of spherical flames

V. Karlin*, G. Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


In this paper, we investigate the self-acceleration of the expansion of premixed spherical flames and evolution of the cellular patterns on their surfaces. Asymptotic models are used for the simulations and a spectral numerical algorithm is employed to study flames over large time intervals. Numerous numerical experiments indicate that for large enough time the acceleration of two-dimensional expanding flame slows down but the expansion rate still able to reach values significantly exceeding the burning rate of an exactly circular flame. Simulations of expansion of a three-dimensional flame were carried out by using similar asymptotic model for a spatial segment of the spherical flame. Obtained results indicate that the three-dimensional spherical flame accelerates at much higher rate than the circular one. Wrinkling of the three-dimensional flames is much more intensive and they start to accelerate earlier too.

Original languageEnglish
Pages (from-to)1023-1030
Number of pages8
JournalProceedings of the Combustion Institute
Volume31 I
Issue number1
StatePublished - 2007
Event31st International Symposium on Combustion - Heidelberg, Germany
Duration: 5 Aug 200611 Aug 2006


  • Acceleration
  • Hydrodynamic flame instability
  • Premixed spherical flames


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