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The stability of an incompressible electrically conducting fluid rotating about an axis when current flows parallel to the axis

Published online by Cambridge University Press:  26 February 2010

D. H. Michael
D. H. Michael
Affiliation:
University College, London
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Extract

The problem of the stability of a fluid rotating about an axis to an axisymmetric disturbance has been examined in the inviscid case by Rayleigh [1], who derived a simple criterion based on an analogy with the stability of plane stratified fluid of variable density. Later a complete discussion of the stability of viscous motion between rotating cylinders for small axisymmetric disturbances was given by G. I. Taylor [2]. More recently, the problem of magneto-hydrodynamic stability has claimed the attention of several workers, and, amongst other problems, the stability of a rotating fluid, when a constant magnetic field is applied in the direction of the axis of rotation, has been examined by Chandrasekhar [3]

Type
Research Article
Information
Mathematika , Volume 1 , Issue 1 , June 1954 , pp. 45 - 50
Copyright
Copyright © University College London 1954

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References

1.Bayleigh, Lord, Proc. Royal Soc. A, 93 (1916), 148–154.Google Scholar
2.Taylor, G. I., Phil. Trans. Royal Soc. A, 223 (1923), 289–343.Google Scholar
3.Chandrasekhar, S., Proc. Royal Soc. A, 216 (1953), 293–309.Google Scholar
4.Batchelor, G. K., Proc. Royal Soc. A, 201 (1950), 405–416.Google Scholar
5.Ince, E. L., Ordinary Differential Equations (Dover, 1944), § 10. 61, 235.Google Scholar