The thermal instability of a fluid sphere heated within

Chandrasekhar, S. (1952) The thermal instability of a fluid sphere heated within Philosophical Magazine Series 7, 43 (347). pp. 1317-1329. ISSN 1941-5982

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/1478644...

Related URL: http://dx.doi.org/10.1080/14786441208520264

Abstract

In this paper the problem of the thermal instability of an incompressible fluid sphere heated within and in equilibrium under its own gravitation is considered. A general disturbance is analysed into modes in terms of spherical harmonics of various orders, l, and the criterion for the onset of convection for the first fifteen modes is found both when the bounding surface is free and when it is rigid; and it is shown that in both cases the mode l =1 is the first to be excited.

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