The stability of the Couette flow of helium II

Author:

Barenghi C. F.,Jones C. A.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference26 articles.

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3. Hall, H. E. 1960 The rotation of liquid helium II.Phil. Mag. Suppl. 9,89–146.

4. Donnelly, R. J. & LaMar, M. M. 1988 Flow and stability of helium II between concentric cylinders.J. Fluid Mech. 186,163–198.

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