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Physics of superfluid helium-4 vortex tangles in normal-fluid strain fields

Kivotides, Demosthenes and Leonard, Anthony (2021) Physics of superfluid helium-4 vortex tangles in normal-fluid strain fields. Physical Review Fluids, 6 (4). Art. No. 044702. ISSN 2469-990X. doi:10.1103/physrevfluids.6.044702.

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By employing dimensional analysis, we scale the equations of the mesoscopic model of finite temperature superfluid hydrodynamics. Based on this scaling, we set up three problems that depict the effects of kinematic, normal-fluid strain fields on superfluid vortex loops, and characterize small-scale processes in fully developed turbulence. We also develop a formula for the computation of energy spectra corresponding to superfluid vortex tangles in unbounded domains. Employing this formula, we compute energy spectra of superfluid vortex patterns induced by uniaxial, equibiaxial, and simple-shear normal-fluid flows. By comparing the steady-state superfluid spectra and vortex structures, we conclude that normal-flow strain fields do not play an important role in explaining the phenomenology of fully developed superfluid turbulence. This is in sharp contrast with the role of vortical normal-flow fields in offering plausible, structural explanations of superfluid vortex patterns and spectra entailed in numerical turbulent solutions of the mesoscopic model.

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Kivotides, Demosthenes0000-0002-6798-7220
Additional Information:© 2021 American Physical Society. Received 4 October 2020; accepted 9 April 2021; published 21 April 2021. The authors are grateful to R. Hänninen for indicating to them Ref. [29].
Issue or Number:4
Record Number:CaltechAUTHORS:20210423-084247606
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108809
Deposited By: Tony Diaz
Deposited On:23 Apr 2021 15:54
Last Modified:23 Apr 2021 15:54

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