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The spin-up of liquid metal driven by a rotating magnetic field

Published online by Cambridge University Press:  25 September 1997

MARIUS UNGARISH
MARIUS UNGARISH
Affiliation:
Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
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Abstract

The paper considers the flow field during spin-up from rest of liquid metal in a cylindrical stationary cavity due to a rotating transverse uniform low-frequency magnetic field. It is assumed that the Ekman and the magnetic Reynolds numbers are small. An approximate model, based on matching of Bödewadt-type layers with an inviscid core, with possible influence from the sidewall, for laminar flow is developed. It is shown that the angular velocity in the core is a function of time only. Analytical solutions for the angular velocity and the meridional flow in the core are presented, and supplemented by finite-difference results to show the sidewall effects. The spin-down following the switch-off of the magnetic forcing, the influence of the axial variations of the magnetic field, and the relevance to turbulent flows are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 347 , 25 September 1997 , pp. 105 - 118
Copyright
© 1997 Cambridge University Press

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