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Non-linear Convection with Free Boundaries

Published online by Cambridge University Press:  25 April 2016

J. O. Murphy
J. O. Murphy*
Affiliation:
Department of Mathematics, Monash University, Melbourne
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Extract

In an IAU Symposium report, Spiegel has made mention of the basic reasons for the astrophysical interest in the problem of non-linear convection of a horizontal fluid layer heated from below. Unfortunately the two important parameters of this problem—the Prandtl number P and the Rayleigh number R take on ‘extreme’ values in the astrophysical situation and this presents immediate difficulties as far as the numerical solution of the basic equations go.

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 1 , Issue 8 , September 1970 , pp. 381 - 382
Copyright
Copyright © Astronomical Society of Australia 1970

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References

1 Spiegel, E. A. and Bohm, K., ‘Aerodynamic Phenomena in Stellar Atmospheres’, IAU Symposium No. 28 1967, p.347.Google Scholar
2 van der Borght, R., Proc. ASA, I, 382 (1970).Google Scholar
3 Roberts, P. H., ‘Non-Equilibrium Thermodynamics, Variational Techniques and Stability’, University of Chicago Press, Chicago 1966, p.125.Google Scholar
4 Elder, J. W., J. Fluid Mech., 35, 417 (1969).CrossRefGoogle Scholar
5 Herring, J. R., J. Atmos. Sci., 20, 325 (1963).Google Scholar