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J. Fluid Mech. (2005), vol. 542, pp. 5367. c 2005 Cambridge University Press doi:10.1017/S0022112005006129 Printed in the United Kingdom
 

Summary: J. Fluid Mech. (2005), vol. 542, pp. 5367. c 2005 Cambridge University Press
doi:10.1017/S0022112005006129 Printed in the United Kingdom
53
Steady zonal flows in spherical shell dynamos
By JULIEN AUBERT
Max-Planck-Institute for Solar System Research, Max-Planck-Strasse 2,
37191 Katlenburg-Lindau, Germany
jaubert@gwdg.de
(Received 22 July 2004 and in revised form 11 May 2005)
Convective dynamos in a rotating spherical shell feature steady zonal flows. This
process is studied numerically for Prandtl numbers of 0.1 and 1, Ekman numbers
in the range E = 10-4
10-5
, magnetic Prandtl number from 0.5 to 10 and Rayleigh
numbers up to 100 times supercritical. The zonal flow is mainly of thermal wind
origin, and minimizes the shear of the axisymmetric poloidal magnetic field lines,
according to Ferraro's law of corotation. The dissipation in the interior of the fluid is
mainly ohmic, while the introduction of rigid velocity boundary conditions confines
viscous dissipation in the Ekman boundary layers. The root-mean-square amplitude
U of the zonal flow in the spherical shell scales as U = (F/)0.5

  

Source: Aubert, Julien - Institut de Physique du Globe de Paris

 

Collections: Geosciences