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Turbulent radial thermal counterflow in the framework of the HVBK model

Lookup NU author(s): Emeritus Professor Yuri Sergeev, Professor Carlo Barenghi



This is the authors' accepted manuscript of an article that has been published in its final definitive form by Institute of Physics Publishing Ltd, 2019.

For re-use rights please refer to the publisher's terms and conditions.


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.

Publication metadata

Author(s): Sergeev YA, Barenghi CF

Publication type: Article

Publication status: Published

Journal: Europhysics Letters

Year: 2019

Volume: 128

Issue: 2

Online publication date: 02/12/2019

Acceptance date: 18/10/2019

Date deposited: 18/10/2019

ISSN (print): 0295-5075

ISSN (electronic): 1286-4854

Publisher: Institute of Physics Publishing Ltd


DOI: 10.1209/0295-5075/128/26001


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