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Global injected power statistics in a turbulent system: degrees of freedom and aspect ratio effect

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  • J.-H. Titon
  • O. Cadot

Abstract

The properties of the global energy injection rate of a closed turbulent flow produced between two counter-rotating disks are studied. The statistics of this global quantity are measured when the aspect ratio (defined as the ratio of the disk diameter to the separating distance between both disks) is modified. It is shown that the non-Gaussian statistics obtained at a low aspect ratio becomes Gaussian for a large aspect ratio. This effect is accompanied with a large decrease of the fluctuation rate. These results indicate the total energy injection rate to obey the central limit theorem. It is also shown that the number of degrees of freedom of total injection rate may be related to the number of independent large scale structures present in the flow. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • J.-H. Titon & O. Cadot, 2005. "Global injected power statistics in a turbulent system: degrees of freedom and aspect ratio effect," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 45(3), pages 289-292, June.
  • Handle: RePEc:spr:eurphb:v:45:y:2005:i:3:p:289-292
    DOI: 10.1140/epjb/e2005-00196-1
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