The stabilizing role of differential rotation on hydromagnetic waves

Details The stabilizing role of differential rotation on hydromagnetic waves The stabilizing role of differential rotation on hydromagnetic waves

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jfm...128...21f&link_type=abstract

Journal of Fluid Mechanics (ISSN 0022-1120), vol. 128, March 1983, p. 21-36. Research supported by the Science and Engineering R

Mathematics

29

Geomagnetism, Magnetic Variations, Magnetohydrodynamic Waves, Rotating Spheres, Buoyancy, Magnetohydrodynamic Stability, Mathematical Models, Rayleigh Number, Secular Variations

Scientific paper

A detailed study at high shear strengths is undertaken for differential rotation, which is probably an important effect in the earth's core, using a rapidly rotating Benard layer with imposed magnetic field. In the limiting case where the ratio of the thermal to magnetic diffusivities vanishes, the governing equations are separable in two space dimensions and the problem reduces to a one-dimensional boundary value problem. The strength of the shear is measured by a modified Reynolds number which takes into account layer depth, thermal diffusivity, and shear. It is found possible to compute solutions well into the asymptotic regime.

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