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Nonlinear hydromagnetic convection in a moderate prandtl number fluid

Published online by Cambridge University Press:  17 April 2009

N. Riahi
N. Riahi
Affiliation:
Department of Theoretical and Applied Mechanics, College of Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
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Abstract

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Nonlinear hydromagnetic connection is investigated using the modal equations for cellular convection. The boundary layer method is used assuming large Rayleigh number R, moderate Prandtl number σ and for different ranges of the Chandrasekhar number Q. The heat flux F is determined for the value of the horizontal wave number which maximizes F. For a weak field, the inertial force dominates over the Lorentz force. F is independent of Q, but it increases with R and σ. For a moderate field, the Lorentz force is significant. F increases with R and σ and decreases as Q increases. For a strong field, the Lorentz force dominates over the inertial force. F is independent of σ, but it increases with R and decreases as Q increases.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 3 , June 1981 , pp. 321 - 338
Copyright
Copyright © Australian Mathematical Society 1981

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