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Waves in an electrically conducting rotating liquid

Published online by Cambridge University Press:  29 March 2006

Adabala Ramachandra Rao
Adabala Ramachandra Rao
Affiliation:
Department of Mathematics, Indian Institute of Technology, Madras-36, India
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Abstract

The waves generated by the steady motion of an obstacle along the axis of a uniformly rotating, electrically conducting homogeneous fluid have been studied by Lighthill's technique. The wave-number surface consists of a sphere and four coincident planes. The waves corresponding to points on the sphere travel ahead or trail behind the obstacle according as a1 the Alfvén velocity, is greater or less than U, the velocity of the obstacle. By drawing the appropriate normals to the four planes, it is seen that the formation of a Taylor column ahead of the obstacle is possible even at large Rossby numbers when U < a1 in contrast with the non-magnetic case and the case with U > a1.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 2 , 29 March 1971 , pp. 357 - 363
Copyright
© 1971 Cambridge University Press

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References

Lighthill, M. J. 1960 Phil. Trans. A, 252, 397.
Lighthill, M. J. 1967 J. Fluid Mech. 27, 725.
Nigam, S. D. & Nigam, P. D. 1963 Proc. Roy. Soc. A, 272, 529.
Taylor, G. I. 1922 Proc. Roy. Soc. A, 102, 180.