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Torsional oscillations of a fluid sphere with a rigid boundary in a uniform magnetic field

Published online by Cambridge University Press:  28 March 2006

R. A. Wentzell
Affiliation:
University College, London

Abstract

Plumpton & Ferraro (1955) considered the torsional oscillations of an infinitely conducting sphere in a uniform magnetic field. They showed that if the fluid and magnetic viscosity were assumed to be zero in the governing differential equations, then a continuous spectrum of eigenvalues could be obtained. This novel feature was clarified by Stewartson (1957) when he obtained the exact solution and showed that in the correct limit of a perfect conductor the eigen-values are discrete. Furthermore, in the limit of infinite conductivity the oscillations occur only on the axis of symmetry (figure 1).

Type
Research Article
Copyright
© 1966 Cambridge University Press

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References

Plumpton, C. & Ferraro, V. C. A. 1955 Astrophys. J. 121, 16.
Stewartson, K. 1957 Z. angew Math. Phys. 8, 29.