Hydromagnetic waves in a differentially rotating sphere

Details Hydromagnetic waves in a differentially rotating sphere Hydromagnetic waves in a differentially rotating sphere

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jfm...128....1f&link_type=abstract

Journal of Fluid Mechanics (ISSN 0022-1120), vol. 128, March 1983, p. 1-20. Research supported by the Science and Engineering Re

Computer Science

56

Dynamo Theory, Geomagnetism, Magnetic Variations, Magnetohydrodynamic Waves, Rotating Spheres, Buoyancy, Magnetohydrodynamic Stability, Rayleigh Number, Secular Variations, Shear Flow

Scientific paper

In the present investigation of the linear stability of an internally heated and self-gravitating, rapidly rotating fluid sphere in the presence of an azimuthal magnetic field, solutions are calculated numerically for magnetic field strengths yielding a Lorentz force comparable in magnitude to that of the Coriolis force. The critical Rayleigh number is found to reach a minimum at that magnitude, with thermally driven instability behavior in the absence of a shear flow that is similar to that found by Fearn (1979) for the simpler basic state. The effect of a shear flow is followed as its strength is increased from zero. The significance of the study results presented for geomagnetic secular variation is discussed.

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