Effect of magnetic boundary conditions on the dynamo threshold of von Karman swirling flows

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Gissinger, Christophe
Iskakov, Alexei
Fauve, Stephan
Dormy, Emmanuel
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Abstract
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We study the effect of different boundary conditions on the kinematic dynamo threshold of von Karman type swirling flows in a cylindrical geometry. Using an analytical test flow, we model different boundary conditions: insulating walls all over the flow, effect of sodium at rest on the cylinder side boundary, effect of sodium behind the impellers, effect of impellers or side wall made of a high-magnetic-permeability material. We find that using high-magnetic-permeability boundary conditions decreases the dynamo threshold, the minimum being achieved when they are implemented all over the flow.
Comment: 5 pages, 3 figures, 1 table
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Physics - Fluid Dynamics, Mathematical Physics
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