Steady flows at the top of the core from geomagnetic field models: The steady motions theorem |
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| Authors: | Coerte V Voorhies George E Backus |
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| Affiliation: | 1. Department of Astrophysical, Planetary, and Atmospheric Sciences , Campus Box 391, University of Colorado , Boulder , CO , 80309 , U.S.A;2. Institute of Geophysics and Planetary Physics, University of California , A-025, La Jolla, CA , 92023 , U.S.A |
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| Abstract: | Abstract It is demonstrated that the steady tangential velocity vs at the closed surface δK of a perfect fluid conductor bounded by a rigid, impenetrable exterior can be uniquely determined from knowledge of the normal component of the time varying magnetic flux density B n, on δK. In the context of a simple earth model consisting of an electrically insulating mantle surrounding a perfectly conducting core, the assumption of steady flow provides enough extra information to eliminate the toroidal ambiguity in B nv and to allow derivation of a unique, global flow at the top of the core from a model of the geomagnetic field. |
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