### Abstract

A logarithmic scaling for structure functions, in the form S_{p} ∼ [In(r/η)]^{ζp}, where η is the Kolmogorov dissipation scale and ζ_{p} are the scaling exponents, is suggested for the statistical description of the near-dissipation range for which classical power-law scaling does not apply. From experimental data at moderate Reynolds numbers, it is shown that the logarithmic scaling, deduced from general considerations for the near-dissipation range, covers almost the entire range of scales (about two decades) of structure functions, for both velocity and passive scalar fields. This new scaling requires two empirical constants, just as the classical scaling does, and can be considered the basis for extended self-similarity.

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

Pages (from-to) | 315-321 |

Number of pages | 7 |

Journal | Pramana - Journal of Physics |

Volume | 64 |

Issue number | 3 SPEC. ISS. |

State | Published - Mar 2005 |

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### Keywords

- Extended self-similarity
- Logarithmic scaling
- Near-dissipation range
- Turbulence

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Pramana - Journal of Physics*,

*64*(3 SPEC. ISS.), 315-321.

**Logarithmic scaling in the near-dissipation range of turbulence.** / Sreenivasan, K. R.; Bershadskii, A.

Research output: Contribution to journal › Article

*Pramana - Journal of Physics*, vol. 64, no. 3 SPEC. ISS., pp. 315-321.

}

TY - JOUR

T1 - Logarithmic scaling in the near-dissipation range of turbulence

AU - Sreenivasan, K. R.

AU - Bershadskii, A.

PY - 2005/3

Y1 - 2005/3

N2 - A logarithmic scaling for structure functions, in the form Sp ∼ [In(r/η)]ζp, where η is the Kolmogorov dissipation scale and ζp are the scaling exponents, is suggested for the statistical description of the near-dissipation range for which classical power-law scaling does not apply. From experimental data at moderate Reynolds numbers, it is shown that the logarithmic scaling, deduced from general considerations for the near-dissipation range, covers almost the entire range of scales (about two decades) of structure functions, for both velocity and passive scalar fields. This new scaling requires two empirical constants, just as the classical scaling does, and can be considered the basis for extended self-similarity.

AB - A logarithmic scaling for structure functions, in the form Sp ∼ [In(r/η)]ζp, where η is the Kolmogorov dissipation scale and ζp are the scaling exponents, is suggested for the statistical description of the near-dissipation range for which classical power-law scaling does not apply. From experimental data at moderate Reynolds numbers, it is shown that the logarithmic scaling, deduced from general considerations for the near-dissipation range, covers almost the entire range of scales (about two decades) of structure functions, for both velocity and passive scalar fields. This new scaling requires two empirical constants, just as the classical scaling does, and can be considered the basis for extended self-similarity.

KW - Extended self-similarity

KW - Logarithmic scaling

KW - Near-dissipation range

KW - Turbulence

UR - http://www.scopus.com/inward/record.url?scp=15744367538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=15744367538&partnerID=8YFLogxK

M3 - Article

VL - 64

SP - 315

EP - 321

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

SN - 0304-4289

IS - 3 SPEC. ISS.

ER -