Direct measurements of anisotropic energy transfers in a rotating turbulence experiment

Details Direct measurements of anisotropic energy transfers in a rotating turbulence experiment Direct measurements of anisotropic energy transfers in a rotating turbulence experiment

2011-06-23

arxiv.org/abs/1106.4683v1

Physics

Fluid Dynamics

to appear in Physical Review Letters (July 8, 2011 issue)

Scientific paper

We investigate experimentally the influence of a background rotation on the energy transfers in decaying grid turbulence. The anisotropic energy flux density, ${\bf F} ({\bf r}) = < \delta {\bf u}\,(\delta {\bf u})^2 >$, where $\delta {\bf u}$ is the vector velocity increment over separation ${\bf r}$, is determined for the first time using Particle Image Velocimetry. We show that rotation induces an anisotropy of the energy flux $\nabla \cdot {\bf F}$, which leads to an anisotropy growth of the energy distribution $E({\bf r}) = < (\delta {\bf u})^2 >$, in agreement with the K\'arm\'an-Howarth-Monin equation. Surprisingly, our results prove that this anisotropy growth is essentially driven by a nearly radial, but orientation-dependent, energy flux density ${\bf F} ({\bf r})$.

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