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Quasi-steady flow of a rotating stratified fluid in a sphere

Published online by Cambridge University Press:  11 April 2006

Susan Friedlander
Susan Friedlander
Affiliation:
Department of Mathematics, University of Illinois at Chicago Circle
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Abstract

The steady and quasi-steady motion achieved in a rotating stratified sphere of fluid is studied in the context of a linearized Boussinesq model. In certain parameter ranges an explicit expression is obtained for the flow field as a functional of the surface stress. The non-singular interior solution is used to examine the behaviour of the boundary layer close to the equator. The results agree with previous conclusions about the behaviour of a rotating stratified fluid in simpler geometries. Viewing the problem as a simple model for the interior core of the sun, this work indicates a solar spin-down time that is within the lifetime of the sun.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 2 , 28 July 1976 , pp. 209 - 228
Copyright
© 1976 Cambridge University Press

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