Steady flows at the top of the core from geomagnetic field models - The steady motions theorem

Physics – Fluid Dynamics

Scientific paper

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Earth Core, Geomagnetism, Geophysical Fluids, Ideal Fluids, Steady Flow, Conducting Fluids, Conservation Laws, Earth Mantle, Electrical Insulation, Magnetic Flux, Mathematical Models

Scientific paper

It is demonstrated that the steady tangential velocity at the closed surface 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 on the surface. 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 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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