Journal of Hydrodynamics

, Volume 18, Issue 1, pp 227–231 | Cite as

Non-Gaussian self-similarity in the inertial range of turbulence

Session A4


Besides Gaussian self-similarity, there is non-Gaussian self-similarity, i.e. a self-similar probability density function (PDF) is far away from Gaussian. By using a non-Gaussian PDF model of intermittent velocity increment, we study the non-Gaussian self-similarity in Kolmogorov’s inertial range of hydrodynamic turbulence. In the limit of infinite Reynolds number, a central part of scaling range becomes the inertial range, and we have a non-Gaussian self-similarity in the inertial range. In scaling ranges at experimental Reynolds numbers, the self-similarity is broken due to viscosity and large-scale effects. Experimental facts of structure function exponents being anomalous, are not against the non-Gaussian self-similarity in the inertial range.

Key words

turbulence statistical theory of turbulence self-similarity Kolmogorov theory 


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Copyright information

© China Ship Scientific Research Center 2006

Authors and Affiliations

  • J. Qian
    • 1
  1. 1.Department of PhysicsGraduate School of CASBeijingChina

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