### Abstract

A simple multi-affine model for the velocity distribution in fully developed turbulent flows is introduced to capture the essential features of the underlying geometry of the velocity field. The authors show that in this model the various relevant quantities characterizing different aspects of turbulence can be readily calculated. A simultaneous good agreement is found with the available experimental data for the velocity structure functions, the D _{q} spectra obtained from studies of the velocity derivatives, and the exponent describing the scaling of the spectrum of the kinetic energy fluctuations. Their results are obtained analytically assuming a single free parameter. The fractal dimension of the region where the dominating contribution to dissipation comes from is estimated to be D approximately=2.88.

Original language | English |
---|---|

Article number | 010 |

Journal | Journal of Physics A: General Physics |

Volume | 24 |

Issue number | 15 |

DOIs | |

Publication status | Published - 1991 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Journal of Physics A: General Physics*,

*24*(15), [010]. https://doi.org/10.1088/0305-4470/24/15/010

**Multi-affine model for the velocity distribution in fully turbulent flows.** / Vicsek, T.; Albert-L.barabasi.

Research output: Contribution to journal › Article

*Journal of Physics A: General Physics*, vol. 24, no. 15, 010. https://doi.org/10.1088/0305-4470/24/15/010

}

TY - JOUR

T1 - Multi-affine model for the velocity distribution in fully turbulent flows

AU - Vicsek, T.

AU - Albert-L.barabasi,

PY - 1991

Y1 - 1991

N2 - A simple multi-affine model for the velocity distribution in fully developed turbulent flows is introduced to capture the essential features of the underlying geometry of the velocity field. The authors show that in this model the various relevant quantities characterizing different aspects of turbulence can be readily calculated. A simultaneous good agreement is found with the available experimental data for the velocity structure functions, the D q spectra obtained from studies of the velocity derivatives, and the exponent describing the scaling of the spectrum of the kinetic energy fluctuations. Their results are obtained analytically assuming a single free parameter. The fractal dimension of the region where the dominating contribution to dissipation comes from is estimated to be D approximately=2.88.

AB - A simple multi-affine model for the velocity distribution in fully developed turbulent flows is introduced to capture the essential features of the underlying geometry of the velocity field. The authors show that in this model the various relevant quantities characterizing different aspects of turbulence can be readily calculated. A simultaneous good agreement is found with the available experimental data for the velocity structure functions, the D q spectra obtained from studies of the velocity derivatives, and the exponent describing the scaling of the spectrum of the kinetic energy fluctuations. Their results are obtained analytically assuming a single free parameter. The fractal dimension of the region where the dominating contribution to dissipation comes from is estimated to be D approximately=2.88.

UR - http://www.scopus.com/inward/record.url?scp=36149034321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36149034321&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/24/15/010

DO - 10.1088/0305-4470/24/15/010

M3 - Article

AN - SCOPUS:36149034321

VL - 24

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 15

M1 - 010

ER -