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The stability of the Couette flow of helium II

Published online by Cambridge University Press:  21 April 2006

C. F. Barenghi  and
C. A. Jones
C. F. Barenghi
Affiliation:
School of Mathematics, The University, Newcastle upon Tyne NE1 7RU, UK
C. A. Jones
Affiliation:
School of Mathematics, The University, Newcastle upon Tyne NE1 7RU, UK
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Abstract

The stability of Couette flow in HeII is considered by an analysis of the HVBK equations. These equations are based on the Landau two-fluid model of HeII and include mutual friction between the normal and superfluid components, and the vortex tension due to the presence of superfluid vortices. We find that the vortex tension strongly affects the nature of the Taylor instability at temperatures below ≈ 2.05 K. The effect of the vortex tension is to make non-axisymmetric modes the most unstable, and to make the critical axial wavelength very long.

We compare our results with experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 197 , December 1988 , pp. 551 - 569
Copyright
© 1988 Cambridge University Press

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