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Stability of a conducting rotating fluid of variable density

Published online by Cambridge University Press:  28 March 2006

S. P. Talwar
Affiliation:
Physics Department, Delhi University, Delhi, India

Abstract

The Rayleigh instability of an incompressible, infinitely conducting, inviscid fluid of variable density is investigated under the influence of an horizontal magnetic field and coriolis forces. After establishing the equations of the problem when both the density and the magnetic field vary with distance in the upward direction, two special cases of density distribution are studied in detail. Both the magnetic field and coriolis forces are found to have a stabilizing influence on the configuration and further it is concluded that they may bring about stability in the configuration when it is thoroughly unstable without them.

Type
Research Article
Copyright
© 1960 Cambridge University Press

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References

Bjerknes, V., Bjerknes, J., Solberg, H. & Bergeron, T. 1933 Physikalische Hydrodynamik. Berlin: Springer.
Chandrasekhar, S. 1955 Proc. Camb. Phil. Soc. 51, 162.
Ferraro, V. C. A. & Plumpton, C. 1958 Astrophys. J. 127, 459.
Hide, R. 1955 Proc. Roy. Soc. A, 233, 376.
Hide, R. 1956 Quart. J. Mech. Appl. Math. 9, 35.
Lehnert, B. 1954 Astrophys. J. 119, 647.
Rayleigh, Lord 1883 Proc. Lond. Math. Soc. 14, 170 (also Scientific Papers 2, 200).
Talwar, S. P. 1959 Z. Astrophys, 47, 161.