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Modelling Turbulent Flow of Superfluid 4He Past a Rough Solid Wall in the T= 0 Limit

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.

Publication metadata

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


DOI: 10.1007/s10909-024-03073-6


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Funder referenceFunder name
Engineering and Physical Sciences Research Council