On the validity of the geostrophic approximation for calculating the changes in the angular momentum of the core

Physics

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Scientific paper

The changes in the length of day at decade periods are attributable to exchanges of angular momentum between the core and the mantle. It is commonly assumed that the changes in angular momentum in the fluid are carried by geostrophic flows which are characterized by the rotation of rigid cylindrical shells aligned with the Earth's rotation axis. In this work, we explore the validity of this assumption using the simple geometry of a plane fluid layer between two solid boundaries. Coupling at the boundaries is done by electromagnetic interactions. We quantify the conditions under which the motion of the fluid that results from this coupling is accurately described by geostrophic flows. We find that for the region outside the so-called tangent cylinder, the geostrophic approximation is valid for all periods of oscillation longer than a few days. For the region inside the tangent cylinder, the geostrophic nature of the flow is broken at annual and shorter periods by the propagation of MC waves.

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