Experimental study of two-dimensional enstrophy cascade

Details Experimental study of two-dimensional enstrophy cascade Experimental study of two-dimensional enstrophy cascade

2005-05-12

arxiv.org/abs/nlin/0505034v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We study the direct enstrophy cascade in a two-dimensional flow generated in an electromagnetically driven thin layer of fluid. Due to the presence of bottom friction, the energy spectrum deviates from the classical Kraichnan prediction $k^{-3}$. We find that the correction to the spectral slope depends on the thickness on the layer, in agreement with a theoretical prediction based on the analogy with passive scalar statistics.

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