Computer Science – Numerical Analysis
Scientific paper
Nov 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979pepi...20..181m&link_type=abstract
(Topical Conference on Origins of Planetary Magnetism, Houston, Tex., Nov. 8-11, 1978.) Physics of the Earth and Planetary Inter
Computer Science
Numerical Analysis
Dynamo Theory, Geomagnetism, Magnetohydrodynamics, Rotating Fluids, Stratified Flow, Compressible Fluids, Earth Rotation, Fluid Flow, Lorentz Force, Numerical Analysis
Scientific paper
The paper explores the possibility that the westward drift of the earth's core fluid and the strong eastward equatorial flow on the sun are manifestations of increased geostrophic flows in the stable layers until they modify magnetic fields to satisfy the Taylor-like constraint (1963). The linear solvability conditions were found for any field of force leading to steady motion in a stratified rotating medium and a general solution determined for such motion. For the Lorentz force, it is shown that a unique relation is specified between all axisymmetric poloidal and toroidal magnetic fields, and an approach to solutions for the nonlinear alpha-dynamo stability problem compatible with these constraints is outlined.
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