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The stability of an interface between viscous fluids subjected to a high-frequency magnetic field and consequences for electromagnetic casting

Published online by Cambridge University Press:  26 April 2006

Deepak  and
J. W. Evans
Deepak
Affiliation:
Department of Materials Science and Mineral Engineering, University of California, Berkeley CA 94720, USA Present address: Motorola Inc., 5005 E. McDowell Road, D-304, Phoenix AZ 85008, USA.
J. W. Evans
Affiliation:
Department of Materials Science and Mineral Engineering, University of California, Berkeley CA 94720, USA
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Abstract

The stability of an interface between inviscid fluids subjected to a high-frequency magnetic field has been examined previously by Garnier & Moreau (1983). The present paper extends that study to include the viscosity of both fluids in order to estimate the damping rates of the perturbations. Furthermore, Garnier & Moreau made an assumption that the frequency of oscillation of the interface could be neglected compared to the frequency of the applied field; they concluded that the applied field was not destabilizing. That (apparently reasonable) assumption has been lifted in the present work and the consequence is that the magnetic field is seen to lead to instability over a significant range of wavelengths. Application of this analysis to the electromagnetic casting of aluminium is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 287 , 25 March 1995 , pp. 133 - 150
Copyright
© 1995 Cambridge University Press

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