Multiscaling in superfluid turbulence: A shell-model study
Vishwanath Shukla, Rahul Pandit
TL;DR
This study investigates the complex multiscaling behavior of superfluid turbulence using a shell model based on the 3D HVBK equations, revealing more intricate dynamics than in classical fluid turbulence.
Contribution
Introduces a 3D-HVBK shell model to analyze multiscaling in superfluid turbulence, exploring effects of normal-fluid fraction and mutual friction.
Findings
Multiscaling behavior in superfluid turbulence is more complex than in classical turbulence.
The model captures dependence of multiscaling exponents on fluid parameters.
Superfluid turbulence exhibits richer multiscaling phenomena.
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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