On the coupling of fluid dynamics and electromagnetism at the top of the earth's core

Details On the coupling of fluid dynamics and electromagnetism at the top of the earth's core On the coupling of fluid dynamics and electromagnetism at the top of the earth's core

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gapfd..33..315b&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 33, Sept. 1985, p. 315-330.

Physics

Geophysics

5

Earth Core, Electromagnetism, Fluid Dynamics, Geomagnetism, Geophysics, Conducting Fluids, Kinematics, Vector Analysis, Vorticity

Scientific paper

A kinematic approach to short-term geomagnetism has recently been based upon pre-Maxwell frozen-flux electromagnetism. A complete dynamic theory requires coupling fluid dynamics to electromagnetism. A geophysically plausible simplifying assumption for the vertical vorticity balance, namely that the vertical Lorentz torque is negligible, is introduced and its consequences are developed. The simplified coupled magnetohydrodynamic system is shown to conserve a variety of magnetic and vorticity flux integrals. These provide constraints on eligible models for the geomagnetic main field, its secular variation, and the horizontal fluid motions at the top of the core, and so permit a number of tests of the underlying assumptions.

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