Determination of the effective kinematic viscosity for the decay of quasiclassical turbulence in superfluid ${}^4$He

Abstract

The energy dissipation of quasiclassical homogeneous turbulence in superfluid ${}^4$He (He II) is controlled by an effective kinematic viscosity ${\nu }^{\prime }$, which relates the energy decay rate $dE/dt$ to the density of quantized vortex lines $L$ as $dE/dt=-{\nu }^{\prime }(\kappa L{)}^2$. The precise value of ${\nu }^{\prime }$ is of fundamental importance in developing our understanding of the dissipation mechanism in He II, and it is also needed in many high Reynolds number turbulence experiments and model testing that use He II as the working fluid. However, a reliable determination of ${\nu }^{\prime }$ requires the measurements of both $E(t)$ and $L(t)$, which was never achieved. Here we discuss our study of the quasiclassical turbulence that emerges in the decay of thermal counterflow in He II at above 1 K. We were able to measure $E(t)$ using a recently developed flow visualization technique and $L(t)$ via second sound attenuation. We report the ${\nu }^{\prime }$ values in a wide temperature range determined for the first time from a comparison of the time evolution of $E(t)$ and $L(t)$.

arXiv comment6 pages, 6 figures

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• Intermittency enhancement in quantum turbulence
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• Superdiffusion of quantized vortices uncovering scaling behavior of quantum turbulence
• Quench spot detection for superconducting accelerator cavities via flow visualization in superfluid helium-4
• Molecular Tagging Velocimetry in Superfluid Helium-4: Progress, Issues, and Future Development
• A cryogenic-helium pipe flow facility with unique double-line molecular tagging velocimetry capability
• Mesoscale helicity distinguishes Vinen from Kolmogorov turbulence in helium II
• Shape fluctuations and optical transition of He${}_2^{\ast }$ excimer tracers in superfluid ${}^4$He
• Vinen's latest thoughts on the "bump'' puzzle in decaying He II counterflow turbulence