Physics – Fluid Dynamics
Scientific paper
Dec 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gapfd..27..123a&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 27, no. 1-2, 1983, p. 123-136.
Physics
Fluid Dynamics
39
Dynamo Theory, Geomagnetism, Magnetic Field Configurations, Magnetohydrodynamic Stability, Rotating Fluids, Thermal Instability, Angular Velocity, Earth Core, Temperature Gradients, Thermal Diffusivity
Scientific paper
A local analysis is used to examine the effects of an azimuthal magnetic field B(r) on the stability of a rapidly rotating fluid subject to a radial temperature gradient, taking the ratio of thermal to magnetic diffusivities to be small, as in the earth's core. The basic equations and approximations are set forth, and both 'diffusionless' field gradient instabilities and diffusive, buoyancy-catalyzed instabilities are considered. If B decreases with r faster than the -1/2 power of r, the critical Rayleigh number increases sharply as the magnetic field strength increases beyond 'magnetostrophic' values and the recently discovered magnetic instabilities triggered by bottom-heavy density gradients do not occur. If B increases with r faster than the 3/2 power of r, the system becomes unstable to comparatively fast magnetic instabilities as soon as the field passes magnetostrophic values.
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