Wave propagation in rotating liquids

Abstract

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.