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Formation and decay of vorticity in coupled helium-II flow

Lookup NU author(s): Dr Sola Idowu, Dr David Samuels

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Abstract

The kinematic viscosity of helium II below the transition temperature can be defined with the total density of the liquid or the normal-fluid density alone. These two definitions have very different temperature dependences. In this work we considered the decay of Gaussian distributions of vorticity in helium II using the two fluid Hall-Vinen-Bekharevich-Khalamikov equations. Our calculation shows that in these two-dimensional axisymmetric flows both fluids decay together with a viscous time scale set by the total fluid density and not by the normal-fluid density alone. We also considered the spin-up of each fluid and observed that for all initial conditions considered both fluids tend towards a matched vorticity state.

Publication metadata

Author(s): Idowu OC, Henderson KL, Samuels DC

Publication type: Article

Publication status: Published

Journal: Physical Review B - Condensed Matter and Materials Physics

Year: 2001

Volume: 63

Issue: 2

Pages: 245131-245137

ISSN (print): 0163-1829

ISSN (electronic): 1550-235X

Publisher: American Physical Society

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