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.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
23 articles.
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