The dynamics of the earth's inner and outer cores

Details The dynamics of the earth's inner and outer cores The dynamics of the earth's inner and outer cores

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984rpph...47..855s&link_type=abstract

Reports on Progress in Physics (ISSN 0034-4885), vol. 47, July 1984, p. 855-906.

Physics

38

Dynamo Theory, Earth Core, Geophysical Fluids, Gravitational Effects, Terradynamics, Cartesian Coordinates, Coriolis Effect, Differential Equations, Electrodynamics, Integral Equations, Lagrange Multipliers, Magnetohydrodynamic Waves, Prandtl Number, Torque, Von Zeipel Method

Scientific paper

Recent advances in the dynamics of the liquid outer core and the rotation of the solid inner body are reviewed. In particular, the scaling of the fluid motion equations is reviewed and a detailed derivation is presented of the 'subseismic equation' which governs small-amplitude, low-frequency oscillations. The compressibility of the outer core and its role in dynamo theory as well as its effect on Proudman-Taylor flow are addressed. Rotational motions of the inner core under the strong gravity torque exerted on it by the rest of the earth are examined. Both the motion ignoring back reaction on the mantle's rotation and the full coupled problem are solved. The gravity torque is shown to be five orders of magnitude larger than inertial coupling. Energy considerations are shown to require nearly equilibrated electromagnetic torques on their inner core and mantle. A variational principle for the induction equation is established which allows the constraints of vanishing torques to be introduced via Lagrange multipliers.

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