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Instabilities of Shercliffe and Stewartson layers in spherical Couette flow

Wei, X. and Hollerbach, R. (2008) Instabilities of Shercliffe and Stewartson layers in spherical Couette flow. Physical Review E, 78 (2). 026309. ISSN 1550-2376

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Abstract

We explore numerically the flow induced in a spherical shell by differentially rotating the inner and outer spheres. The fluid is also taken to be electrically conducting (in the low magnetic Reynolds number limit), and a magnetic field is imposed parallel to the axis of rotation. If the outer sphere is stationary, the magnetic field induces a Shercliffe layer on the tangent cylinder, the cylinder just touching the inner sphere and parallel to the field. If the magnetic field is absent, but a strong overall rotation is present, Coriolis effects induce a Stewartson layer on the tangent cylinder. The nonaxisymmetric instabilities of both types of layer separately have been studied before; here, we consider the two cases side by side, as well as the mixed case, and investigate how magnetic and rotational effects interact. We find that if the differential rotation and the overall rotation are in the same direction, the overall rotation may have a destabilizing influence, whereas if the differential rotation and the overall rotation are in the opposite direction, the overall rotation always has a stabilizing influence.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 The American Physical Society. This is an author produced version of a paper published in Physical Review. Uploaded in accordance with the publisher's self archiving policy.
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds)
Depositing User: Sherpa Assistant
Date Deposited: 16 Oct 2008 14:35
Last Modified: 07 Jun 2014 10:39
Published Version: http://dx.doi.org/10.1103/PhysRevE.78.026309
Status: Published
Publisher: The American Physical Society
Identification Number: doi.10.1103/PhysRevE.78.026309
URI: http://eprints.whiterose.ac.uk/id/eprint/4755

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