On the onset of thermal convection in slowly rotating fluid shells |
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| Authors: | Gebhard Geiger Friedrich Busse |
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| Affiliation: | Institute of Geophysics and Planetary Physics, University of California , at Los Angeles, California , 90024 |
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| Abstract: | Abstract The problem of the removal of the degeneracy of the patterns of convective motion in a spherically symmetric fluid shell by the effects of rotation is considered. It is shown that the axisymmetric solution is preferred in sufficiently thick shells where the minimum Rayleigh number corresponds to degree l = 1 of the spherical harmonics. In all cases with l > 1 the solution described by sectional spherical harmonics Yl l (θ,φ) is preferred. |
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| Keywords: | Antidynamo theorems dynamo theory |
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