The propagation and stability of hydromagnetic waves in a rotating cylindrical annulus with distorted end-surfaces
- 1 January 1977
- journal article
- research article
- Published by Taylor & Francis in Geophysical & Astrophysical Fluid Dynamics
- Vol. 9 (1) , 75-88
- https://doi.org/10.1080/03091927708242316
Abstract
The linear stability of a differentially heated cylindrical annulus, of finite length, containing a dissipationless fluid and rotating uniformly in a non-uniform toroidal magnetic field is studied. The analysis is restricted to the situation where the instabilities are driven by buoyancy. If the end-surfaces are flat, the unstable waves propagate against the basic flow, i.e. westward. When the effect of slight distortions in the end-surfaces on the propagation speeds of these waves are investigated, it is found that these distortions can decrease or increase the propagation speeds depending on a variety of conditions. The application of these results to Hide's (1969) theory on the effects of bumps on the core-mantle interface of the Earth indicates that these topographical features may lead to irregular fluctuations in the westward drift.Keywords
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