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Super— and Counter—Rotating Jets and Vortices in Strongly Magnetic Spherical Couette Flow

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Dynamo and Dynamics, a Mathematical Challenge

Part of the book series: NATO Science Series ((NAII,volume 26))

Abstract

Spherical Couette flow is the flow induced in a spherical shell by fixing the outer sphere and rotating the inner one. Magnetic Couette flow is then the natural magnetohydrodynamic extension in which the fluid is taken to be electrically conducting, and a magnetic field is imposed. For the very strong fields we will consider here, the topology of this imposed field — which field lines thread both boundaries, and which only one or the other — turns out to be crucial. In this work we will therefore present a systematic survey of the possible field configurations, and in each case study the effect on the resulting flow.

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References

  1. Dormy, E., Cardin, P. and Jault, D. (1998) MHD flow in a slightly differentially rotating spherical shell, with conducting inner core, in a dipolar magnetic field, Earth Planet Sci. Lett., 160, 15–30.

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  3. Hollerbach, R. and Skinner, S. (2001) Instabilities of magnetically induced shear layers and jets, Proc. Roy. Soc. A, in press.

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  4. Starchenko, S.V. (1997) Magnetohydrodynamics of a viscous spherical layer rotating in a strong potential field, J. Exper. Theor. Phys., 85, 1125–1137.

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© 2001 Springer Science+Business Media Dordrecht

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Hollerbach, R. (2001). Super— and Counter—Rotating Jets and Vortices in Strongly Magnetic Spherical Couette Flow. In: Chossat, P., Ambruster, D., Oprea, I. (eds) Dynamo and Dynamics, a Mathematical Challenge. NATO Science Series, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0788-7_22

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  • DOI: https://doi.org/10.1007/978-94-010-0788-7_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7070-3

  • Online ISBN: 978-94-010-0788-7

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