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Stability of axially symmetric flow driven by a rotating magnetic field in a cylindrical cavity

Published online by Cambridge University Press:  22 June 2001

I. GRANTS  and
G. GERBETH
I. GRANTS
Affiliation:
Forschungszentrum Rossendorf, Postfach 510119, 01314 Dresden, Germany
G. GERBETH
Affiliation:
Forschungszentrum Rossendorf, Postfach 510119, 01314 Dresden, Germany
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Abstract

This paper deals with the stability analysis of an axially symmetric liquid metal flow driven by a rotating magnetic field in a cylinder of finite dimensions. The limit of linear stability with respect to axially symmetric perturbations is found for diameter-to-height ratios between 0.4 and 1. This oscillatory instability is shown to be different from the expected Taylor–Görtler vortices. Several linearly unstable steady solutions are found close to the stable basic state. It is shown that small finite-amplitude perturbations in the form of Taylor–Görtler vortices give rise to instability in the linearly stable regime.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 431 , 25 March 2001 , pp. 407 - 426
Copyright
© 2001 Cambridge University Press

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