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Published April 1, 1993 | public
Journal Article Open

Traveling-wave wall states in rotating Rayleigh-Bénard convection

Abstract

We show that the wall-localized convection states observed in Rayleigh-Bénard convection in rotating cylindrical cells can be explained in terms of a geometry-independent traveling-wave wall state. We calculate the onset Rayleigh number, frequency, and wave number of such a state, as well as its amplitude equation. We also study the large-rotation-rate asymptotic behavior and the small-rotation-rate limit.

Additional Information

©1993 The American Physical Society. Received 8 January 1993. We wish to thank L. Ning and R. E. Ecke for sharing their experimental results with us prior to publication, and Y. Tu for useful discussions. This work was supported with funds from the NSF through Grant No. DMR-9013984.

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