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Lookup NU author(s): Dr Andrew BaggaleyORCiD
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
© The Author(s) 2024.We present a numerical study, using the vortex filament model, of vortex tangles in a flow of pure superfluid 4He in the T=0 limit through a channel of width D=1 mm for various applied velocities V. The flat channel walls are assumed to be microscopically rough such that vortices terminating at the walls are permanently pinned; vortices are liberated from their pinned ends exclusively through self-reconnection with their images. Sustained tangles were observed, for a period of 80 s, above the critical velocity Vc∼0.20 cm s-1=20κD. The coarse-grained velocity profile was akin to a classical parabolic profile of the laminar Poiseuille flow, albeit with a nonzero slip velocity ∼ 0.20 cm s-1 at the walls. The friction force was found to be proportional to the applied velocity. The effective kinematic viscosity was ν′∼0.1κ, and effective Reynolds numbers within Re′<200. The fraction of the polarised vortex length varied between zero in the middle of the channel and ∼ 60% within the shear flow regions ∼D/4 from the walls. Therefore, we studied a state of statically polarised ultraquantum (Vinen) turbulence fuelled at short length scales by vortex reconnections, including those with vortex images due to the relative motion between the vortex tangle and the pinning rough surface.
Author(s): Doyle MJ, Golov AI, Walmsley PM, Baggaley AW
Publication type: Article
Publication status: Published
Journal: Journal of Low Temperature Physics
Year: 2024
Pages: epub ahead of print
Online publication date: 25/03/2024
Acceptance date: 05/03/2024
Date deposited: 09/04/2024
ISSN (print): 0022-2291
ISSN (electronic): 1573-7357
Publisher: Springer
URL: https://doi.org/10.1007/s10909-024-03073-6
DOI: 10.1007/s10909-024-03073-6
Data Access Statement: The code used to generate these simulations and guidance in its use can be accessed from the authors upon reasonable request.
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