Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-27T05:10:58.705Z Has data issue: false hasContentIssue false
  • English
  • Français

Convection in a self-gravitating fluid sphere

Published online by Cambridge University Press:  26 February 2010

P. H. Roberts
P. H. Roberts
Affiliation:
The University, Newcastle upon Tyne.
Get access

Abstract

This paper is concerned with marginal convection in a self-gravitating sphere of uniform incompressible fluid containing a uniform distribution of heat sources. Its purpose is twofold. The first aim is to present the mathematical argument in a form which, the author believes, is more succinct than that which has been given heretofore. The second aim is to determine the effect of the convective motions upon the moments of inertia of the body and, in the light of the results obtained, examine briefly the hypothesis that the moon is in a state of convection.

Type
Research Article
Information
Mathematika , Volume 12 , Issue 2 , December 1965 , pp. 128 - 137
Copyright
Copyright © University College London 1965

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Abramowitz, M. and Stegun, I. A. (Eds.), 1964. Handbook of mathematical functions with formulas, graphs and mathematical tables (National Bureau of Standards, Washington, Applied Mathematics Series No. 55).Google Scholar
2.Backus, G. E., 1955. Phil. Mag., (7), 46, 1310.CrossRefGoogle Scholar
3.Baldwin, R. B., 1963. The measure of the moon (Chicago University Press).Google Scholar
4.Chandrasekhar, S., 1961. Hydrodynamic and hydromagnetic stability (Oxford University Press).Google Scholar
5.Jeffreys, H., 1961. Mon. Not. Roy. Astr. Soc., 122, 421.CrossRefGoogle Scholar
6.Jeffreys, H. and Bland, M. E. M., 1951. Mon. Not. R. Astr. Soc., Geophys. Suppl., 6, 148.CrossRefGoogle Scholar
7.Jeffreys, H. and Jeffreys, B. S., 1946. Methods of mathematical physics (Cambridge University Press).Google Scholar
8.Roberts, P. H., 1966. Proceedings of the symposium on non-equilibrium thermodynamics, variational techniques and stability (Chicago, May 17–19, 1965), Chicago University Press.Google Scholar
9.Watson, G. N., 1944. A Treatise on the theory of Bessel functions (Cambridge tlniversity Press, 2nd edition).Google Scholar