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Effect of finite conductivity on the inviscid stability of an interface submitted to a high-frequency magnetic field

Published online by Cambridge University Press:  20 April 2006

Marcel Garnier  and
René Moreau
Marcel Garnier
Affiliation:
GIS MADYLAM – BP 53X - 38041 Grenoble CEDEX
René Moreau
Affiliation:
GIS MADYLAM – BP 53X - 38041 Grenoble CEDEX
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Abstract

The stability of an interface between a liquid metal and an insulating atmosphere, in which an inductor generates a uniform alternating magnetic field, is investigated, with particular attention given to the influence of the electrical conductivity of the liquid. In a range of high frequencies, a quasi-steady approximation is justified, in which the pulsation of the electromagnetic forces is negligible compared with their mean part, and the unsteadiness of the magnetic field only appears through the skin effect. By means of a linear analysis, the influence of the alternating magnetic field on a perturbation of the interface is found to be neutral for wavevectors perpendicular to the magnetic field, and stabilizing for any other orientation. The stabilizing effect is largest when the angle between the wavevector and the magnetic field is zero, and it increases with increasing wavenumber. This effect, maximum for an infinitely conducting medium, quickly decreases with the electrical conductivity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 127 , February 1983 , pp. 365 - 377
Copyright
© 1983 Cambridge University Press

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