Hollerbach, R and Hulot, D (2016) Shercliff layers in strongly magnetic cylindrical Taylor-Couette flow. Comptes Rendus Mécanique, 344 (7). pp. 502-509. ISSN 1631-0721
Abstract
We numerically compute axisymmetric Taylor-Couette flow in the presence of axially periodic magnetic fields, with Hartmann numbers up to Ha2 = 107. The geometry of the field singles out special field lines on which Shercliff layers form. These are simple shear layers for insulating boundaries, versus super-rotating or counter-rotating layers for conducting boundaries. Some field configurations have previously studied spherical analogs, but fundamentally new configurations also exist, having no spherical analogs. Finally, we explore the influence of azimuthal fields Bφ ∼ r−1ˆeφ on these layers, and show that the flow is suppressed for conducting boundaries but enhanced for insulating boundaries.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Académie des sciences. This is an author produced version of a paper published in Comptes Rendus Mécanique. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Magnetohydrodynamics; Taylor–Couette flow |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 04 Mar 2016 14:49 |
Last Modified: | 14 Apr 2017 03:49 |
Published Version: | https://dx.doi.org/10.1016/j.crme.2016.02.012 |
Status: | Published |
Publisher: | Elsevier Masson |
Identification Number: | 10.1016/j.crme.2016.02.012 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:95884 |