## Abstract

The present work is concerned with the instability of combustible mixtures against finite-amplitude nucleus-like fluctuations of temperature that lead to a stochastic thermal ignition. The phenomenon is associated with the presence of a potential barrier that must be crossed by nuclei to initiate the stochastic ignition, which turns out to be possible even under the deterministic explosion limit given by the well-known Frank-Kamenetskii model. A stochastic analysis of such phenomena has been given using a functional Fokker-Planck equation. The following discussion of the ignition is restricted to a one-dimensional case when the consumption of reactant is not taken into account. The results obtained here may be applied only to weak fluctuations.

Original language | English |
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Pages (from-to) | 65-70 |

Number of pages | 6 |

Journal | Combustion and Flame |

Volume | 91 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 1992 |

## Keywords

- Combustion
- Fuels
- Mathematical models
- Stability
- Combustible mixtures
- Frank-Kamenetskii model
- Stochastic analysis
- Thermal ignition