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On local analysis of instability by magnetic buoyancy

Published online by Cambridge University Press:  20 April 2006

M. P. Gibbons
M. P. Gibbons
Affiliation:
Department of Mechanical Engineering, The City University, London, U.K. Present address: Marlborough College, Wiltshire, SN8 1PA, U.K.
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Abstract

Moffatt's (1978) model for instability, by magnetic buoyancy, of a rotating layer of compressible fluid is extended to demonstrate that local stability analysis, theoretically valid for only a shallow layer, can still be useful for predicting instability when the layer is deep.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 118 , May 1982 , pp. 305 - 313
Copyright
© 1982 Cambridge University Press

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References

Acheson, D. J. 1978 Phil. Trans. R. Soc. Lond. A 289, 459–495.
Acheson, D. J. 1979 Solar Phys. 62, 23–50.
Acheson, D. J. & Gibbons, M. P. 1978 J. Fluid Mech. 85, 743–757.
Moffatt, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.
Nayfeh, A. H. 1973 Perturbation Methods. John Wiley.