### Abstract

The analysis of Reeks (1977) for particle dispersion in isotropic turbulence is extended so as to include a nonlinear drag law. The principal issue is the evaluation of the inertial time constants, β^{α}^{-1}, and the mean slip. Unlike what is found for the Stokesian drag, the time constants are functions of the slip velocity and are anisotropic. For settling velocity, V^{T}. much larger than root-mean-square of the fluid velocity fluctuations, Uo, the mean slip is given by V^{T}. For V^{T}→ 0, the mean slip is related to turbulent velocity fluctuation by assuming that fluctuations in β^{α}are small compared to the mean value. An interpolation formula is used to evaluate β^{α}and V^{T}in regions intermediate between conditions of V^{T}→O and V^{T}⪢u^{o}. The limitations of the analysis are explored by carrying out a Monte-Carlo simulation for particle motion in a pseudo turbulence described by a Gaussian distribution and Kraichnans (1970) energy spectrum.

Original language | English (US) |
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Pages (from-to) | 170-179 |

Number of pages | 10 |

Journal | Journal of Fluids Engineering, Transactions of the ASME |

Volume | 119 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1997 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mechanical Engineering

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## Cite this

*Journal of Fluids Engineering, Transactions of the ASME*,

*119*(1), 170-179. https://doi.org/10.1115/1.2819104