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Coherent propagation of vortex rings at extremely high Reynolds numbers

Published online by Cambridge University Press:  09 December 2022

P. Švančara Open the ORCID record for P. Švančara [Opens in a new window]  and
M. La Mantia Open the ORCID record for M. La Mantia [Opens in a new window]
P. Švančara*
Affiliation:
Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16 Prague, Czech Republic
M. La Mantia
Affiliation:
Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16 Prague, Czech Republic
*
†Present address: School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK. Email address for correspondence: patrik.svancara@nottingham.ac.uk
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Abstract

We take advantage of the extremely small kinematic viscosity of superfluid $^4$He to investigate the propagation of macroscopic vortex rings at Reynolds numbers between $2 \times 10^4$ and $4 \times 10^6$. These inhomogeneous flow structures are thermally generated by releasing short power pulses into a small volume of liquid, open to the surrounding bath through a vertical tube $2$ mm in diameter. We study specifically the ring behaviour between $1.30$ and $1.80$ K using the flow visualization and second sound attenuation techniques. From the obtained data sets, containing more than $2600$ realizations, we find that the rings remain well-defined in space and time for distances up to at least $40$ tube diameters, and that their circulation depends significantly on the travelled distance, in a way similar to that observed for turbulent vortex rings propagating in Newtonian fluids. Additionally, the ring velocity and circulation appear to be influenced solely by a single, experimentally accessible parameter, combining the liquid temperature with the magnitude and duration of the power pulse. Overall, our results support the view that macroscopic vortex rings moving in superfluid $^4$He closely resemble their Newtonian analogues, at least in the absence of significant thermal effects and at sufficiently large flow scales.

JFM classification

Turbulent Flows: Turbulent Flows Vortex Flows: Vortex dynamics Complex Fluids: Quantum fluids
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 953 , 25 December 2022 , A28
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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