Influence of inner and outer walls electromagnetic properties on the onset of a stationary dynamo

To study the onset of a stationary dynamo in the presence of inner or outer walls of various electromagnetic properties, we propose a simple 1D-model in which the flow is replaced by an alpha effect. The equation of dispersion of the problem is derived analytically. It is solved numerically for wall...

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Bibliographic Details
Published in:arXiv.org 2009-05
Main Authors: Avalos-Zuniga, R, Plunian, F
Format: Article
Language:English
Subjects:
Electrical resistivity
Electromagnetic properties
Magnetic permeability
Mathematical models
Permeability
Walls
Online Access:Get full text
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Summary:To study the onset of a stationary dynamo in the presence of inner or outer walls of various electromagnetic properties, we propose a simple 1D-model in which the flow is replaced by an alpha effect. The equation of dispersion of the problem is derived analytically. It is solved numerically for walls of different thicknesses and of electric conductivity and magnetic permeability different from those of the fluid in motion. We also consider walls in the limit of infinite conductivity or permeability.
ISSN:2331-8422
DOI:10.48550/arxiv.0905.0831