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Nonlinear Taylor–Couette flow of helium II

Published online by Cambridge University Press:  26 April 2006

Karen L. Henderson
Affiliation:
Department of Mathematics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, UK
Carlo F. Barenghi
Affiliation:
Department of Mathematics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, UK
Chris A. Jones
Affiliation:
Department of Mathematics, University of Exeter, Exeter, EX4 4QE, UK

Abstract

We solve the nonlinear two-fluid Hall–Vinen–Bekharevich–Khalatnikov equations of motion of helium II for the first time and investigate the configuration of quantized vortex lines in Taylor–Couette flow. The results are interpreted in terms of quantities which can be observed by measuring the attenuation of second sound. Comparison is made with existing experimental results.

Type
Research Article
Copyright
© 1995 Cambridge University Press

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