Eur. Phys. J. B 47, 127-135 (2005)
https://doi.org/10.1140/epjb/e2005-00294-0

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

Laboratoires des Écoulements Géophysiques et Industriels, B.P. 53, 38041 Grenoble Cedex 9, France

Corresponding author: ^a Franck.Plunian@hmg.inpg.fr

Received: 13 May 2005
Revised: 18 May 2005
Published online: 21 September 2005

Abstract

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.