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arXiv · 1508.00448

Multiscaling in superfluid turbulence: A shell-model study

Vishwanath Shukla·Rahul Pandit
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Abstract

We examine the multiscaling behavior of the normal- and superfluid-velocity structure functions in three-dimensional superfluid turbulence by using a shell model for the three-dimensional (3D) Hall-Vinen-Bekharevich-Khalatnikov (HVBK) equations. Our 3D-HVBK shell model is based on the Gledzer-Okhitani-Yamada (GOY) shell model. We examine the dependence of the multiscaling exponents on the normal-fluid fraction and the mutual-friction coefficients. Our extensive study of the 3D-HVBK shell model shows that the multiscaling behavior of the velocity structure functions in superfluid turbulence is more complicated than it is in fluid turbulence.

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Vishwanath Shukla, Rahul Pandit. 2015-08-03. Multiscaling in superfluid turbulence: A shell-model study. https://doi.org/10.1103/physreve.94.043101

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