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Peculiarities of Spherically Symmetric Counterflow

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Abstract

Thermal counterflow in superfluid \(^4\)He (He II) was studied numerically using the vortex filament model in a spherically symmetric geometry (as resulting from a point heat source). It is found that for the range of temperatures and velocities studied, turbulent tangle of the quantised vortices develops only for sufficiently low temperatures, hinting at the existence of a critical temperature, and only for velocities bounded from above (and presumably from below). A velocity–temperature phase diagram is presented. A simple physical model is proposed that qualitatively explains both observations.

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Acknowledgements

I would like to thank L. Skrbek for many useful discussions.

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  1. Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16, Prague, Czech Republic

    E. Varga

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  1. E. Varga
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Correspondence to E. Varga.

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The work was supported by the Charles University under GAUK 368217.

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Varga, E. Peculiarities of Spherically Symmetric Counterflow. J Low Temp Phys 196, 28–34 (2019). https://doi.org/10.1007/s10909-019-02174-x

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  • DOI: https://doi.org/10.1007/s10909-019-02174-x

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