Turbulent statistics and intermittency enhancement in coflowing superfluid ${}^4$He

Abstract

The large scale turbulent statistics of mechanically driven superfluid ${}^4$He was shown experimentally to follow the classical counterpart. In this paper we use direct numerical simulations to study the whole range of scales in a range of temperatures $T\in [1.3,2.1]$K. The numerics employ self-consistent and non-linearly coupled normal and superfluid components. The main results are that (i) the velocity fluctuations of normal and super components are well-correlated in the inertial range of scales, but decorrelate at small scales. (ii) The energy transfer by mutual friction between components is particularly efficient in the temperature range between 1.8K and 2K, leading to enhancement of small scales intermittency for these temperatures. (iii) At low $T$ and close to $T_{\lambda }$ the scaling properties of the energy spectra and structure functions of the two components are approaching those of classical hydrodynamic turbulence.

arXiv comment12 pages, 7 figures

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• Theory of energy spectra in superfluid He-4 counterflow turbulence
• Strong anisotropy of superfluid ${}^4$He counterflow turbulence
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• Disentangling temperature and Reynolds number effects in quantum turbulence
• Higher-order statistics and intermittency of a two-fluid HVBK quantum turbulent flow
• Theory of anisotropic superfluid He-4 counterflow turbulence