Dynamics of the secular variation

Details Dynamics of the secular variation Dynamics of the secular variation

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pepi...68..170g&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 68, Issue 1-2, p. 170-182.

Physics

16

Scientific paper

There have been many calculations of core motions from secular variation data using the induction equation in the frozen-flux approximation. The induction equation does not allow unique flows to be determined and additional constraints are required. Two of these constraints, those of toroidal flow and tangential geostrophy, are discussed within the framework of the slow-steady equations, a general formulation valid for small Rossby and Ekman numbers. The vorticity equation provides new constraints on the secular variation (or, equivalently, the calculated core flow). The temperature equation serves mainly to determine the lateral transport of heat but in a density-stratified core it determines the nature of the convection that would be forced by lateral variations in heat flux imposed on the boundary. Lateral heat flow must be large, but still within plausible limits, if flow is to be driven in a stratified core to sufficient depth to cause secular variation. Recent models of secular variation are reasonably consistent with both toroidal and tangentially geostrophic flows; there is little difference between the two types of flow because the lateral length-scales are small.

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