Fluid Motions in a Sphere II Thermal Instability of a Conducting Fluid Sphere Heated within under a Uniform Magnetic Field

In this paper the problem of thermal instability of non-viscous fluid sphere heated within under a uniform magnetic field is discussed. Differing from the former case of thermal instability of a rotating sphere, there exist axially symmetric steady state solutions and only (Unm, Vmn+1, ...) motions...

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Bibliographic Details
Published inJournal of geomagnetism and geoelectricity Vol. 9; no. 4; pp. 193 - 202
Main Author NAMIKAWA, Tomikazu
Format Journal Article
LanguageEnglish
Published Society of Geomagnetism and Earth, Planetary and Space Sciences 1957
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Summary:In this paper the problem of thermal instability of non-viscous fluid sphere heated within under a uniform magnetic field is discussed. Differing from the former case of thermal instability of a rotating sphere, there exist axially symmetric steady state solutions and only (Unm, Vmn+1, ...) motions can arise. Calculation suggests a relation between perturbations in magnetic field and vorticity. Under normal terrestrial conditions, instability arises as ordinary cellular convections, but under astrophysical conditions, it can arise depending on intensity of the uniform magnetic field, as cellular convections or as overstability, oscillations of increasing amplitude.
ISSN:0022-1392
2185-5765
DOI:10.5636/jgg.9.193