## Abstract

By analogy with recent arguments concerning the mean velocity profile of wall-bounded turbulent shear flows, we suggest that there may exist corrections to the 2/3 law of Kolmogorov, which are proportional to (ln Re)^{-1} at large Re. Such corrections to K41 are the only ones permitted if one insists that the functional form of statistical averages at large Re be invariant under a natural redefinition of Re. The family of curves of the observed longitudinal structure function D_{LL}(r,Re) for different values of Re is bounded by an envelope. In one generic scenario, close to the envelope, D _{LL}(r,Re) is of the form assumed by Kolmogorov, with corrections of O[(ln Re)^{-2}]. In an alternative generic scenario, both the Kolmogorov constant C_{K} and corrections to Kolmogorov's linear relation for the third-order structure function D_{LLL}(r) are proportional to (ln Re)^{-1}. Recent experimental data of Praskovsky and Oncley appear to show a definite dependence of C_{K} on Re, which, if confirmed, would be consistent with the arguments given here.

Original language | English (US) |
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Pages (from-to) | 3078-3082 |

Number of pages | 5 |

Journal | Physics of fluids |

Volume | 7 |

Issue number | 12 |

DOIs | |

State | Published - 1995 |

## ASJC Scopus subject areas

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