### Abstract

Non-premixed turbulent combustion in a laboratory scale flame (Delft III flame) is studied using a statistical description at the one-point one-time joint velocity—scalar composition probability density function (PDF) level. The PDF evolution equation is solved using a stochastic Lagrangian Monte Carlo method.The PDF equation requires a so called micro-mixing model for closure and the performance of two micro-mixing models is investigated. The Interaction by Exchange with the Mean (IEM) micro mixing model is the most commonly adopted model. The IEM model was developed for the scalar PDF method and does not depend on velocity statistics.Aphysically more sound extension of the IEM is the Interaction by Exchange with the Conditional Mean (IECM) which involves mixing of the scalars towards mean values conditional on the velocity. Both models are applied in this work and it is shown that the IECM model does perform significantly better than the simple IEM model.

Original language | English |
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Title of host publication | Stochastic equations for complex systems |

Subtitle of host publication | theoretical and computational topics |

Editors | Stefan Heinz, Hakima Bessaih |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 143-174 |

Number of pages | 32 |

ISBN (Print) | 978-3-319-18205-6 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

### Publication series

Name | Mathematical Engineering |
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Volume | 20 |

ISSN (Print) | 2192-4732 |

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## Cite this

*Stochastic equations for complex systems: theoretical and computational topics*(pp. 143-174). (Mathematical Engineering; Vol. 20). Springer. https://doi.org/10.1007/978-3-319-18206-3_7