Physics
Scientific paper
Dec 1970
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970pepi....4...32b&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 4, Issue 1, p. 32-42.
Physics
Scientific paper
It has been suggested recently that precession might provide an energy source for the maintenance of the geomagnetic field. In this paper a simplified but not too unrealistic model is described; it is shown that a number of time scales and field amplification processes arise quite naturally. sFor t < 0 an unbounded conducting solid containing a pheroidal scavity is rotating about its axis of symmetry with constant angular velocity ω. Inside the cavity is an incompressible viscous conducting fluid. A uniform current J is imposed at infinity parallel to ω. At t = 0 the whole system starts precessing slowly with an angular velocity Ω about an axis fixed in space in such a way that the uniform current J is maintained at infinity parallel to ω. The problem is linearised by assuming that | Ω/ω | is small and that the perturbation fields are O(| Ω/ω |). At large times it is found that in the interior of the cavity the flow is one of constant current and vorticity. A boundary layer analysis then shows that a poloidal field of O(10-8 gauss) would be produced at the edge of the cavity by a uniform current density O(10-2 A/m2) in the solid conductor under conditions resembling those in the interior of the Earth.
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