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Evolution of a Horizontal Scale for Magnetoconvection

Published online by Cambridge University Press:  25 April 2016

J. O. Murphy
Affiliation:
Department of Mathematics, Monash University
J. M. Lopez
Affiliation:
Aerodynamics Division, Aeronautical Research Laboratories

Abstract

The non-linear modal equations governing magnetoconvection in a fluid layer have been integrated forward in time incorporating a discrete spectrum of horizontal wave numbers, distributed within the range supporting convection. By progressively deleting some of the decaying modes and introducting additional modes within the range of growth it is possible to establish the evolution, or otherwise, of a preferred horizontal scale, which determines the horizontal cell size of the convective motions. Further, the influence of the magnetic field strength on cell extent can also be determined.

Type
Theoretical
Copyright
Copyright © Astronomical Society of Australia 1987

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References

Chandrasekhar, S., 1961, ‘Hydrodynamic and Hydromagnetic Stability’, Oxford Univ. Press.Google Scholar
Lopez, J. M., and Murphy, J. O., 1985, Aust. J. Phys., 38, 885.CrossRefGoogle Scholar
Roberts, P. H., 1966, ‘Non-equilibrium Thermodynamics, Variational Techniques and Stability’, (Eds. Donnelly, R. J., Herman, R., and Prigogine, I.) Chicago Univ. Press.Google Scholar