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Experimental investigation of homogeneity, isotropy, and circulation of the velocity field in buoyancy-driven turbulence

Published online by Cambridge University Press:  25 February 2008

QUAN ZHOU ,
CHAO SUN  and
KE-QING XIA
QUAN 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
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Abstract

We present direct multipoint velocity measurements of the two-dimensional velocity field in the central region of turbulent Rayleigh–Bénard convection. The local homogeneity and isotropy of the velocity field are tested using a number of criteria and are found to hold to an excellent degree. The properties of velocity circulation Γr are also studied. The results show that the circulation appears to be more effective in capturing the effect of local anisotropy than the velocity field itself. The distribution of Γr is found to depend on the scale r, reflecting strong intermittency. It is further found that the velocity circulation has the same anomalous scaling exponents as the longitudinal and transverse structure functions for low-order moments (p≲5), whereas, for high-order moments (p≳5), the anomalous scaling exponents for circulation are found to be systematically smaller than the scaling exponents of the longitudinal and transverse structure functions.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 598 , 10 March 2008 , pp. 361 - 372
Copyright
Copyright © Cambridge University Press 2008

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