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- W2043831293 abstract "Abstract The solution of the full nonlinear hydromagnetic dynamo problem is a major numerical undertaking. While efforts continue, supplementary studies into various aspects of the dynamo process can greatly improve our understanding of the mechanisms involved. In the present study, the linear stability of an electrically conducting fluid in a rigid, electrically insulating spherical container in the presence of a toroidal magnetic field Bo(r,θ)l⊘ and toroidal velocity field Uo(r,θ)l⊘, [where (r,θ,⊘) are polar coordinates] is investigated. The system, a model for the Earth's fluid core, is rapidly rotating, the magnetostrophic approximation is used and thermal effects are excluded. Earlier studies have adopted a cylindrical geometry in order to simplify the numerical analysis. Although the cylindrical geometry retains the fundamental physics, a spherical geometry is a more appropriate model for the Earth. Here, we use the results which have been found for cylindrical systems as guidelines for the more rea..." @default.
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- W2043831293 date "1991-01-01" @default.
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- W2043831293 title "Magnetic instabilities in rapidly rotating spherical geometries I. from cylinders to spheres" @default.
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- W2043831293 doi "https://doi.org/10.1080/03091929108219516" @default.
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