Abstract
After reviewing the derivation of the equations governing the evolution of magnetic fields in electrically conducting fluids, I consider two largely distinct classes of such phenomena in spherical shells. The first is kinematic dynamo theory, in which a flow is prescribed, and one searches for self-excited magnetic fields. The second is magnetic Couette flow, in which a magnetic field is imposed, and one solves for the flow and the induced field. In both cases existing results are reviewed; in the latter case some new results are also presented.
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Hollerbach, R. (2000). Magnetohydrodynamic flows in spherical shells. In: Egbers, C., Pfister, G. (eds) Physics of Rotating Fluids. Lecture Notes in Physics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45549-3_17
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DOI: https://doi.org/10.1007/3-540-45549-3_17
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