M. Petry et al., CONVECTION IN A ROTATING CYLINDRICAL ANNULUS IN THE PRESENCE OF A MAGNETIC-FIELD, European journal of mechanics. B, Fluids, 16(6), 1997, pp. 817-833
The effect of radial and azimuthal components of a magnetic held on th
e convection columns in the fluid filled gap between two cylinders rot
ating rigidly about their common vertical axis is investigated numeric
ally. The inner cylinder is cooled, the outer one heated such that the
buoyancy force driving the convection is provided by the centrifugal
force. Bur the analysis applies also in the planetary case a here the
effective components of gravity and of the temperature gradient are re
versed. Because of conical end surfaces of the annular gap, the convec
tion columns drift relative to the rotating frame of reference. The ma
gnetic field exerts a stabilizing influence on the onset of convection
and on the onset of secondary instabilities leading to stationary mea
n flow convection or to time dependent vacillating convection. Of part
icular interest are the cases of merging stability regions when double
minima of the neutral curve exist.