Invariants in toroidal and tangentially geostrophic frozen-flux velocity fields |
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| Authors: | Andrew Jackson Raymond Hide |
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| Institution: | Department of Earth Sciences, Leeds University, Leeds LS2 9JT, UK;Department of Atmospheric, Oceanic and Planetary Physics, Oxford University, Oxford OX1 3PU, UK |
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| Abstract: | We derive two new types of invariant that must be obeyed by the radial magnetic field at the core-mantle boundary if the hypothesis of frozen flux is valid and the fluid motion is either toroidal or tangentially geostrophic there. These general invariants incorporate specific invariants that are already known and can, in principle, be tested using magnetic data that cover an interval of time. |
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| Keywords: | Earth's core Earth's magnetic field geomagnetic field geomagnetism |
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