### 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^{-1}
_{α}, 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, u_{0}, 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 βα are small compared to the mean value. An interpolation formula is used to evaluate βα and V_{T} in regions intermediate between conditions of V_{T}→0 and V_{T}≫u_{0}. 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 Kraichnan's (1970) energy spectrum.

Original language | English (US) |
---|---|

Pages (from-to) | 170-179 |

Number of pages | 10 |

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

Volume | 119 |

Issue number | 1 |

State | Published - Mar 1997 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes
- Mechanical Engineering

### Cite this

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

*119*(1), 170-179.

**Turbulent dispersion of heavy particles with nonlinear drag.** / Mei, Renwei; Adrian, Ronald; Hanratty, T. J.

Research output: Contribution to journal › Article

*Journal of Fluids Engineering, Transactions of the ASME*, vol. 119, no. 1, pp. 170-179.

}

TY - JOUR

T1 - Turbulent dispersion of heavy particles with nonlinear drag

AU - Mei, Renwei

AU - Adrian, Ronald

AU - Hanratty, T. J.

PY - 1997/3

Y1 - 1997/3

N2 - 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-1 α, 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, VT, much larger than root-mean-square of the fluid velocity fluctuations, u0, the mean slip is given by VT. For VT→0, the mean slip is related to turbulent velocity fluctuation by assuming that fluctuations in βα are small compared to the mean value. An interpolation formula is used to evaluate βα and VT in regions intermediate between conditions of VT→0 and VT≫u0. 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 Kraichnan's (1970) energy spectrum.

AB - 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-1 α, 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, VT, much larger than root-mean-square of the fluid velocity fluctuations, u0, the mean slip is given by VT. For VT→0, the mean slip is related to turbulent velocity fluctuation by assuming that fluctuations in βα are small compared to the mean value. An interpolation formula is used to evaluate βα and VT in regions intermediate between conditions of VT→0 and VT≫u0. 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 Kraichnan's (1970) energy spectrum.

UR - http://www.scopus.com/inward/record.url?scp=0031100788&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031100788&partnerID=8YFLogxK

M3 - Article

VL - 119

SP - 170

EP - 179

JO - Journal of Fluids Engineering, Transactions of the ASME

JF - Journal of Fluids Engineering, Transactions of the ASME

SN - 0098-2202

IS - 1

ER -