Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources

Details Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources Hydromagnetic convective instability of a rotating, self-gravitating fluid sphere containing a uniform distribution of heat sources

Mar 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rspsa.353..145e&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 353, no. 1673, Mar. 25, 1977, p. 145-162. Research supported by the Universi

Computer Science

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Convective Flow, Earth Core, Magnetohydrodynamic Stability, Planetary Magnetic Fields, Rotating Plasmas, Cylindrical Shells, Dynamo Theory, Geomagnetism, Heat Sources, Magnetic Effects, Magnetic Field Configurations, Prandtl Number, Rayleigh Number

Scientific paper

The paper examines the problem of linear stability of an electrically-conducting self-gravitating Boussinesq fluid sphere containing a uniform distribution of heat sources and rotating uniformly with a given angular velocity in the presence of a toroidal magnetic field whose strength varies linearly with distance from the axis of rotation. The problem is governed by five dimensionless quantities: the Rayleigh number, the Taylor number, the Chandrasekhar number, the Prandtl number, and the magnetic Prandtl number. Results are compared with parallel studies, including Hide's slow MHD waves and Busse's recent dynamo model.

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