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Experimental investigation of longitudinal space–time correlations of the velocity field in turbulent Rayleigh–Bénard convection

Published online by Cambridge University Press:  02 August 2011

Quan Zhou ,
Chun-Mei Li ,
Zhi-Ming Lu  and
Yu-Lu Liu
Quan Zhou*
Affiliation:
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200072, China Modern Mechanics Division, E-Institutes of Shanghai Universities, Shanghai University, Shanghai 200072, China
Chun-Mei Li
Affiliation:
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Zhi-Ming Lu
Affiliation:
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200072, China Modern Mechanics Division, E-Institutes of Shanghai Universities, Shanghai University, Shanghai 200072, China
Yu-Lu Liu
Affiliation:
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
*
†Email address for correspondence: qzhou@shu.edu.cn
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Abstract

We report an experimental investigation of the longitudinal space–time cross-correlation function of the velocity field, , in a cylindrical turbulent Rayleigh–Bénard convection cell using the particle image velocimetry (PIV) technique. We show that while Taylor’s frozen-flow hypothesis does not hold in turbulent thermal convection, the recent elliptic model advanced for turbulent shear flows (He & Zhang, Phys. Rev. E, vol. 73, 055303) is valid for the present velocity field for all over the cell, i.e. the isocorrelation contours of the measured have an elliptical curve shape and hence can be related to via with and being two characteristic velocities. We further show that the fitted is proportional to the mean velocity of the flow, but the values of are larger than the theoretical predictions. Specifically, we focus on two representative regions in the cell: the region near the cell sidewall and the cell’s central region. It is found that and are approximately the same near the sidewall, while at the cell centre.

JFM classification

Convection: Convection Turbulent Flows: Turbulent convection
Type
Papers
Information
Journal of Fluid Mechanics , Volume 683 , 25 September 2011 , pp. 94 - 111
Copyright
Copyright © Cambridge University Press 2011

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