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Oscillations of the large-scale circulation in turbulent Rayleigh–Bénard convection: the sloshing mode and its relationship with the torsional mode

Published online by Cambridge University Press:  10 July 2009

QUAN ZHOU ,
HENG-DONG XI ,
SHENG-QI ZHOU ,
CHAO SUN  and
KE-QING XIA
QUAN ZHOU
Affiliation:
Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
HENG-DONG XI
Affiliation:
Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
SHENG-QI ZHOU
Affiliation:
Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
CHAO SUN
Affiliation:
Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
KE-QING XIA*
Affiliation:
Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
*
Email address for correspondence: [email protected]
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Abstract

We report an experimental study of the large-scale circulation (LSC) in a turbulent Rayleigh–Bénard convection cell with aspect ratio unity. The temperature-extrema-extraction (TEE) method for obtaining the dynamic information of the LSC is presented. With this method, the azimuthal angular positions of the hot ascending and cold descending flows along the sidewall are identified from the measured instantaneous azimuthal temperature profile. The motion of the LSC is then decomposed into two different modes based on these two angles: the azimuthal mode and the translational or sloshing mode that is perpendicular to the vertical circulation plane of the LSC. Comparing to the previous sinusoidal-fitting (SF) method, it is found that both the TEE and the SF methods give the same information about the azimuthal motion of the LSC, but the TEE method in addition can provide information about the sloshing motion of the LSC. The sloshing motion is found to oscillate time-periodically around the cell's central vertical axis with an amplitude being nearly independent of the turbulent intensity and to have a π/2 phase difference with the torsional mode. It is further found that the azimuthal angular positions of the hot ascending and cold descending flows oscillate out of phase with each other by π, which leads to the observations of the torsional mode when these two flows are near the top and the bottom plates, respectively, and of the sloshing mode when they are both near the mid-height plane. A direct velocity measurement further confirms the existence of the bulk sloshing mode of the flow field.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 630 , 10 July 2009 , pp. 367 - 390
Copyright
Copyright © Cambridge University Press 2009

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