Multiscaling in superfluid turbulence: A shell-model study

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.

12 pages, 6 figures

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• Intermittency of quantum turbulence with superfluid fractions from 0% to 96%
• Quantitative estimation of effective viscosity in quantum turbulence
• Intermittency enhancement in quantum turbulence
• Turbulent statistics and intermittency enhancement in coflowing superfluid ${}^4$He
• Detection of vortex coherent structures in superfluid turbulence
• Local and non-local energy spectra of superfluid ${}^3$He turbulence
• Finite temperature effects in helical quantum turbulence
• Higher-order statistics and intermittency of a two-fluid HVBK quantum turbulent flow
• The Statistical Properties of Superfluid Turbulence in ${}^4$He from the Hall-Vinen-Bekharevich-Khalatnikov Model
• Disentangling temperature and Reynolds number effects in quantum turbulence
• Dynamic Scaling in Rotating Turbulence: A Shell Model Study