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Adiabatic transverse modes in a uniformly rotating fluid

Published online by Cambridge University Press:  29 March 2006

C. Sozou
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science, The University, Sheffield
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Abstract

The two-dimensional adiabatic transverse normal modes of an inviscid compressible fluid, having solid body rotation about the axis of its cylindrical container, are considered. Relative to the rotating fluid there are two trains of harmonic waves, propagating in opposite directions. The first five modes of the first-order harmonic wave and the first mode of the harmonic waves of order two, five, ten, fifteen and twenty have been considered. The period and amplitude of the waves is considerably modified by the rotation. Relative to a fixed coordinate system the angular velocity of the waves initially propagating in the same direction as the rotating fluid, is larger than that of the waves propagating in the opposite direction, as might be expected. However, in the case of the first mode, relative to the rotating fluid, the waves propagating in the opposite direction are the faster.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 3 , 1 May 1969 , pp. 605 - 612
Copyright
© 1969 Cambridge University Press

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References

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Sozou, C. To be published.
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