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Approaching the Asymptotic Regime of Rapidly Rotating Convection: Boundary Layers versus Interior Dynamics.

Authors :
Stellmach, S.
Lischper, M.
Julien, K.
Vasil, G.
Cheng, J. S.
Ribeiro, A.
King, E. M.
Aurnou, J. M.
Source :
Physical Review Letters. 12/19/2014, Vol. 113 Issue 25, p254501-1-254501-5. 5p.
Publication Year :
2014

Abstract

Rapidly rotating Rayleigh-Bénard convection is studied by combining results from direct numerical simulations (DNS), laboratory experiments, and asymptotic modeling. The asymptotic theory is shown to provide a good description of the bulk dynamics at low, but finite Rossby number. However large deviations from the asymptotically predicted heat transfer scaling are found, with laboratory experiments and DNS consistently yielding much larger Nusselt numbers than expected. These deviations are traced down to dynamically active Ekman boundary layers, which are shown to play an integral part in controlling heat transfer even for Ekman numbers as small as 10-7. By adding an analytical parametrization of the Ekman transport to simulations using stress-free boundary conditions, we demonstrate that the heat transfer jumps from values broadly compatible with the asymptotic theory to states of strongly increased heat transfer, in good quantitative agreement with no-slip DNS and compatible with the experimental data Finally, similarly to nonrotating convection, we find no single scaling behavior, but instead that multiple well-defined dynamical regimes exist in rapidly rotating convection systems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00319007
Volume :
113
Issue :
25
Database :
Academic Search Index
Journal :
Physical Review Letters
Publication Type :
Academic Journal
Accession number :
100329012
Full Text :
https://doi.org/10.1103/PhysRevLett.113.254501