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Linear stability of laminar plane Poiseuille flow of helium II under a nonuniform mutual friction forcing

Lookup NU author(s): Simon Godfrey, Dr David Samuels, Professor Carlo Barenghi

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Abstract

The calculation of the stability characteristics of superfluid helium II is complicated by the fact that we have to consider the interaction of two velocity fields: the normal fluid and the superfluid. We consider 2D channel flow and concentrate on the linear stability of the normal fluid under a mutual friction forcing from the superfluid. The linear stability of the superfluid component is also briefly discussed. We consider nonuniform distributions of superfluid vorticity, leading to a nonuniform mutual friction forcing. We derive a modified Orr-Sommerfeld equation for the stability of the normal fluid component and find the neutral stability curves for the normal fluid. We identify a new branch to the neutral stability curve, which can significantly lower the critical Reynolds number of the normal fluid flow. © 2001 American Institute of Physics.


Publication metadata

Author(s): Godfrey SP, Samuels DC, Barenghi CF

Publication type: Article

Publication status: Published

Journal: Physics of Fluids

Year: 2001

Volume: 13

Issue: 4

Pages: 983-990

ISSN (print): 1070-6631

ISSN (electronic): 1089-7666

Publisher: American Institute of Physics

URL: http://dx.doi.org/10.1063/1.1352628

DOI: 10.1063/1.1352628


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