## Abstract

Direct numerical simulation (DNS) is combined with probability density function (PDF) methods to simulate turbulent reactive flows. DNS is performed to predict an instantaneous velocity field and an instantaneous mixture fraction, whereas reactive scalars are predicted by the PDF method, in which a transport equation of joint PDF of reactive scalars is solved by using a large number of particles. We develop a new model for a mixing timescale of mixing model, which is used in the PDF method. In the present model, the mixing timescale is estimated from the mixture fraction predicted by the DNS. The numerical simulation based on the DNS and the PDF method is applied to a reactive planar jet. The results show that the PDF method can accurately predict the statistics of mixture fraction, and the present model for the mixing timescale can implicitly take into account the effect of distance between two particles without adjusting any model parameters. It is also found that the PDF method can accurately predict the statistics of reactive scalars.

Original language | English |
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Pages (from-to) | 2434-2445 |

Number of pages | 12 |

Journal | Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 79 |

Issue number | 807 |

DOIs | |

Publication status | Published - 2013 |

Externally published | Yes |

## Keywords

- Chemical reaction
- Jet
- Numerical simulation
- Probability density function method
- Turbulent mixing

## ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanical Engineering