Quasi-geostrophic approximation of anelastic convection

Busse, F. H. and Simitev, R. D. (2014) Quasi-geostrophic approximation of anelastic convection. Journal of Fluid Mechanics, 751, pp. 216-227. (doi:10.1017/jfm.2014.293)

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Abstract

The onset of convection in a rotating cylindrical annulus with parallel ends filled with a compressible fluid is studied in the anelastic approximation. Thermal Rossby waves propagating in the azimuthal direction are found as solutions. The analogy to the case of Boussinesq convection in the presence of conical end surfaces of the annular region is emphasised. As in the latter case, the results can be applied as an approximation for the description of the onset of anelastic convection in rotating spherical fluid shells. Reasonable agreement with three-dimensional numerical results published by Jones, Kuzanyan & Mitchell (J. Fluid Mech., vol. 634, 2009, pp. 291–319) for the latter problem is found. As in those results, the location of the onset of convection shifts outwards from the tangent cylinder with increasing number Nρof density scale heights until it reaches the equatorial boundary. A new result is that at a much higher number Nρ the onset location returns to the interior of the fluid shell.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Simitev, Dr Radostin
Authors: Busse, F. H., and Simitev, R. D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Fluid Mechanics
Journal Abbr.:J. Fluid Mech.
Publisher:Cambridge University Press
ISSN:0022-1120
ISSN (Online):1469-7645
Copyright Holders:Copyright © 2014 Cambridge University Press
First Published:First published in Journal of Fluid Mechanics 751:216-227
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
570591Two-layer thermo-compositional dynamo models of the geomagnetic field.Radostin SimitevLeverhulme Trust (LEVERHULME)RPG-2012-600M&S - MATHEMATICS