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Equation for Self-Consistent Superfluid Vortex Line Dynamics

Lookup NU author(s): Dr Sola Idowu, Dr Demosthenes Kivotides, Professor Carlo Barenghi, Dr David Samuels


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Turbulence in helium II takes the form of a disordered tangle of quantised vortex line. The existing equation of vortex dynamics used by Schwarz and others to model the evolution of the vortex tangle does not distinguish between the large scale normal fluid velocity and the local variation of the normal fluid velocity introduced by the presence of quantised vortex lines. We derive a new vortex dynamics equation which allows the local normal fluid velocity to be determined by a modified Navier-Stokes equation. Together, the two equations form a self-consistent model to determine the coupled evolution of the normal fluid and quantised vortices.

Publication metadata

Author(s): Idowu OC, Kivotides D, Barenghi CF, Samuels DC

Publication type: Article

Publication status: Published

Journal: Journal of Low Temperature Physics

Year: 2000

Volume: 120

Issue: 3-4

Pages: 269-280

Print publication date: 01/01/2000

ISSN (print): 0022-2291

ISSN (electronic): 1573-7357

Publisher: Springer New York LLC


DOI: 10.1023/A:1004641912850


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