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On thermally forced stratified rotating fluids

Published online by Cambridge University Press:  19 April 2006

Lars Rahm  and
GÖSta Walin
Lars Rahm
Affiliation:
Department of Oceanography, University of Gothenburg, Sweden
GÖSta Walin
Affiliation:
Department of Oceanography, University of Gothenburg, Sweden
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Abstract

Axisymmetric steady motion of an inhomogeneous rotating fluid is considered. A system of equations, with appropriate boundary conditions, controlling the smooth interior fields is derived under the assumption of small dissipation and small side-boundary conductance. It is argued that this system, being derived without linearization of the equations, might form the basis of valuable numerical analysis. Assuming sufficiently weak forcing, i.e. high insulation of the non-horizontal boundaries, a linear system is derived. An explicit solution is presented and discussed for a particularly simple and important case.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 97 , Issue 4 , 29 April 1980 , pp. 807 - 828
Copyright
© 1980 Cambridge University Press

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References

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