## 抄録

On average, the length of a material line element at any given time is longer than that at the initial time. Because a vortex line is frozen into the fluid at an infinite Reynolds number, it seems that the relation between the mean enstrophies (half the squared vorticity) at two time instances can be easily derived using a method similar to that for a material line element. However, this relation has not been analytically derived because a vortex line depends on the velocity even at the initial time. In this paper, we analytically show, using the conditional average, that the mean enstrophy normalized by the initial enstrophy at any given time is larger than one. We also analytically show that the mean enstrophy production is positive in stationary homogeneous isotropic turbulence for high Reynolds numbers.

本文言語 | 英語 |
---|---|

論文番号 | 015102 |

ジャーナル | Physics of Fluids |

巻 | 34 |

号 | 1 |

DOI | |

出版ステータス | 出版済み - 1月 1 2022 |

外部発表 | はい |

## !!!All Science Journal Classification (ASJC) codes

- 計算力学
- 凝縮系物理学
- 材料力学
- 機械工学
- 流体および伝熱