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Linear three-dimensional instability of a magnetically driven rotating flow

Published online by Cambridge University Press:  31 July 2002

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

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The instability of a rotating-magnetic-field-driven liquid metal flow in a finite cylinder with respect to infinitesimal azimuthally periodic perturbations is studied numerically. This instability is observed to set in prior its axisymmetric counterpart with relatively low frequency at diameter-to-height ratios between 0.5 and 2. The axisymmetric and three-dimensional instabilities have similar characteristic features. The instability originates in the cross-section of the horizontal and vertical rotating boundary layers and excites inertial waves in the inviscid core.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 463 , 25 July 2002, pp. 229 - 239
Copyright
© 2002 Cambridge University Press