On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence


Intermittency, measured as log(F(r)/3)\log \left({F(r)}/{3}\right) , where F(r) is the flatness of velocity increments at scale r, is found to rapidly increase as viscous effects intensify, and eventually saturate at very small scales. This feature defines a finite intermediate range of scales between the inertial and dissipation ranges, that we shall call near-dissipation range. It is argued that intermittency is multiplied by a universal factor, independent of the Reynolds number Re, throughout the near-dissipation range. The (logarithmic) extension of the near-dissipation range varies as logRe\sqrt{\log Re} . As a consequence, scaling properties of velocity increments in the near-dissipation range strongly depend on the Reynolds number. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

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Research Papers in Economics

Last time updated on 06/07/2012

This paper was published in Research Papers in Economics.

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