| Issue |
EPL
Volume 128, Number 2, October 2019
|
|
|---|---|---|
| Article Number | 26001 | |
| Number of page(s) | 7 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/128/26001 | |
| Published online | 02 December 2019 | |
Turbulent radial thermal counterflow in the framework of the HVBK model
Joint Quantum Centre Durham-Newcastle, and School of Mathematics, Statistics and Physics, Newcastle University Newcastle upon Tyne, NE1 7RU, UK
Received: 11 July 2019
Accepted: 18 October 2019
We apply the coarse-grained Hall-Vinen-Bekarevich-Khalatnikov (HVBK) equations to model the statistically steady-state, turbulent, cylindrically symmetric radial counterflow generated by a moderately large heat flux from the surface of a cylinder immersed in superfluid 4He. We show that a time-independent solution exists only if a spatial non-uniformity of temperature and the dependence on temperature of the thermodynamic properties are accounted for. We demonstrate the formation of a thermal boundary layer whose thickness grows with temperature of the cylinder's surface, and analyze the properties of the flow in the radial direction, including the local average vortex line density.
PACS: 67.25.dk – Vortices and turbulence / 67.25.dm – Two-fluid model; phenomenology / 47.37.+q – Hydrodynamic aspects of superfluidity; quantum fluids
© EPLA, 2019
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