Wave propagation in rotating liquids

Nigam, S. D. ; Nigam, P. D. (1962) Wave propagation in rotating liquids Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 266 (1325). pp. 247-256. ISSN 1364-5021

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Official URL: http://rspa.royalsocietypublishing.org/content/266...

Related URL: http://dx.doi.org/10.1098/rspa.1962.0059


The directional distribution and attenuation of waves from a local source of fixed frequency ω placed at the axis of an incompressible, inviscid, unbounded liquid rotating as a solid body with a constant angular velocity Ω and having a uniform velocity of translation U have been studied. Following the technique developed by Lighthill it is found that when 4Ω2 ≤ ω2, the waves are propagated downstream only and they are confined in certain regions and when 4Ω2 > ω2 the waves travel downstream as well as upstream. There exists a region upstream in which the waves do not penetrate. The cases of sources of finite or infinitesimal duration are also discussed briefly.

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