### Abstract

Turbulent diffusion of a pair of fluid particles in 3-dimensional homogeneous and isotropic turbulence was studied using a high-resolution direct numerical simulation (DNS) with 1024^{3} grid points. The DNS showed that the mean square of the distance δx between the two fluid particles grows with time t as <δx^{2}>∼ C εt^{3} in the inertial subrange, which is in agreement with Richardson (1926) and Obukhov (1941), where C ≈ 0.7 and ε is the mean dissipation rate per unit mass. A simple Lagrangian closure approximation for <δx^{2}> is shown to be in good agreement with the DNS.

Original language | English |
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Pages (from-to) | L69-L72 |

Journal | Physics of Fluids |

Volume | 14 |

Issue number | 11 |

DOIs | |

Publication status | Published - Nov 2002 |

Externally published | Yes |

### ASJC Scopus subject areas

- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes

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## Cite this

Ishihara, T., & Kaneda, Y. (2002). Relative diffusion of a pair of fluid particles in the inertial subrange of turbulence.

*Physics of Fluids*,*14*(11), L69-L72. https://doi.org/10.1063/1.1508443