Magnetic spherical Couette flow in linear combinations of axial and dipolar fields

Details Magnetic spherical Couette flow in linear combinations of axial and dipolar fields Magnetic spherical Couette flow in linear combinations of axial and dipolar fields

2010-08-02

arxiv.org/abs/1008.0307v1

Astronomy and Astrophysics

Astrophysics

Earth and Planetary Astrophysics

Scientific paper

We present axisymmetric numerical calculations of the fluid flow induced in a spherical shell with inner sphere rotating and outer sphere stationary. A magnetic field is also imposed, consisting of particular linear combinations of axial and dipolar fields, chosen to make $B_r=0$ at either the outer sphere, or the inner, or in between. This leads to the formation of Shercliff shear layers at these particular locations. We then consider the effect of increasingly large inertial effects, and show that an outer Shercliff layer is eventually de-stabilized, an inner Shercliff layer appears to remain stable, and an in-between Shercliff layer is almost completely disrupted even before the onset of time-dependence, which does eventually occur though.

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