Enhancement of intermittency in superfluid turbulence

Abstract

We consider the intermittent behavior of superfluid turbulence in ${}^4$He. Due to the similarity in the nonlinear structure of the two-fluid model of superfluidity and the Euler and Navier-Stokes equations one expects the scaling exponents of the structure functions to be the same as in classical turbulence for temperatures close to the superfluid transition $T_{\lambda }$ and also for $T\ll T_{\lambda }$. This is not the case when mutual friction becomes important. Using shell model simulations, we propose that for an intermediate regime of temperatures, such that the density of normal and superfluid components are comparable to each other, there exists a range of scales in which the effective exponents indicate stronger intermittency. We offer a bridge relation between these effective and the classical scaling exponents. Since this effect occurs at accessible temperatures and Reynolds numbers, we propose that experiments should be conducted to further assess the validity and implications of this prediction.

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• Inertial range scaling in numerical turbulence with hyperviscosity
• Energy Spectra of Developed Turbulencein Helium Superfluids
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Cited by in corpus (25)

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• Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence
• Intermittency of quantum turbulence with superfluid fractions from 0% to 96%
• Turbulence in Binary Bose-Einstein Condensates Generated by Highly Non-Linear Rayleigh-Taylor and Kelvin-Helmholtz Instabilities
• Quantitative estimation of effective viscosity in quantum turbulence
• Intermittency enhancement in quantum turbulence
• Vortex clustering and universal scaling laws in two-dimensional quantum turbulence
• Coexistence and interplay of quantum and classical turbulence in superfluid He-4: Decay, velocity decoupling and counterflow energy spectra
• Turbulent statistics and intermittency enhancement in coflowing superfluid ${}^4$He
• Multiscaling in superfluid turbulence: A shell-model study
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• Counter-flow Induced Decoupling in Super-Fluid Turbulence
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• Local and non-local energy spectra of superfluid ${}^3$He turbulence
• Onset of Intermittency and Multiscaling in Active Turbulence
• Finite temperature effects in helical quantum turbulence
• Inviscid diffusion of vorticity in low temperature superfluid helium
• Disentangling temperature and Reynolds number effects in 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
• Statistics of Quantum Turbulence in Superfluid He
• Dynamic Scaling in Rotating Turbulence: A Shell Model Study