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Onset of inertial magnetoconvection in rotating fluid spheres

Radostin D. Simitev and Friedrich H. Busse
Arxiv ID: 0906.5460Last updated: 1/19/2021
The onset of convection in the form of magneto-inertial waves in a rotating fluid sphere permeated by a constant axial electric current is studied through a perturbation analysis. Explicit expressions for the dependence of the Rayleigh number on the azimuthal wavenumber are derived in the limit of high thermal diffusivity. Results for the case of thermally infinitely conducting boundaries and for the case of nearly thermally insulating boundaries are obtained.

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