Physics
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991georl..18..577b&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 18, April 1991, p. 577-580. USGS-supported research.
Physics
9
Core Flow, Earth Surface, Geomagnetism, Magnetohydrodynamic Flow, Unsteady Flow, Conducting Fluids, Dynamo Theory, Inviscid Flow
Scientific paper
This paper reconsiders a fundamental ambiguity encountered during inversion of the radial component of the MHD induction equation evaluated at the top of a spherical, inviscid, frozen-flux core. Specifically, it is demonstrated that, when the input model of the radial main geomagnetic field at any fixed point on the core-mantle boundary evolves as an even degree polynomial in time, then there exists a uniqe unsteady fluid motion that simultaneously evolves as a lowest degree polynomial in time and exactly generates the radial secular variation at that point. This result is illustrated by calculating the flow which evolves as a quartic in time and exactly fits the recent 1900-1980 field model of Bloxham and Jackson (1989), whose time dependence includes terms up through degree 10.
Benton Edward R.
Celaya Michael A.
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