## Abstract

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 language | English |
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Pages (from-to) | 1023-1030 |

Number of pages | 8 |

Journal | Proceedings of the Combustion Institute |

Volume | 31 I |

Issue number | 1 |

DOIs | |

State | Published - 2007 |

Event | 31st International Symposium on Combustion - Heidelberg, Germany Duration: 5 Aug 2006 → 11 Aug 2006 |

### Funding

Funders | Funder number |
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Engineering and Physical Sciences Research Council | GR/R66692 |

United States-Israel Binational Science Foundation | 200 2008 |

Israel Science Foundation | 350-05, 278-03 |

## Keywords

- Acceleration
- Hydrodynamic flame instability
- Premixed spherical flames