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Stressed horizontal convection

Published online by Cambridge University Press:  05 January 2012

J. Hazewinkel ,
F. Paparella  and
W. R. Young
J. Hazewinkel
Affiliation:
Scripps Institution of Oceanography, La Jolla CA 92093-0213, USA
F. Paparella*
Affiliation:
Department of Mathematics, University of Salento, Lecce 73100, Italy
W. R. Young
Affiliation:
Scripps Institution of Oceanography, La Jolla CA 92093-0213, USA
*
†Email address for correspondence: wryoung@ucsd.edu
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Abstract

We consider the problem of a Boussinesq fluid forced by applying both non-uniform temperature and stress at the top surface. On the other boundaries the conditions are thermally insulating and either no-slip or stress-free. The interesting case is when the direction of the steady applied surface stress opposes the sense of the buoyancy driven flow. We obtain two-dimensional numerical solutions showing a regime in which there is an upper cell with thermally indirect circulation (buoyant fluid is pushed downwards by the applied stress and heavy fluid is elevated), and a second deep cell with thermally direct circulation. In this two-cell regime the driving mechanisms are competitive in the sense that neither dominates the flow. A scaling argument shows that this balance requires that surface stress vary as the horizontal Rayleigh number to the three-fifths power.

JFM classification

Convection: Buoyant boundary layers Geophysical and Geological Flows: Ocean circulation Geophysical and Geological Flows: Ocean processes
Type
Papers
Information
Journal of Fluid Mechanics , Volume 692 , 10 February 2012 , pp. 317 - 331
Copyright
Copyright © Cambridge University Press 2012

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