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Convection in an imposed magnetic field. Part 1. The development of nonlinear convection

Published online by Cambridge University Press:  20 April 2006

N. O. Weiss
N. O. Weiss
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

Nonlinear two-dimensional magnetoconvection in a Boussinesq fluid has been studied in a series of numerical experiments with values of the Chandrasekhar number Q ≤ 4000 and the ratio ζ of the magnetic to the thermal diffusivity in the range 1 ≥ ζ ≥ 0·025. If the imposed field is strong enough, convection sets in as overstable oscillations which give way to steady convection as the Rayleigh number R is increased. In the dynamical regime that follows, magnetic flux is concentrated into sheets at the sides of the cells, from which the motion is excluded.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 108 , July 1981 , pp. 247 - 272
Copyright
© 1981 Cambridge University Press

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