Measured Instantaneous Viscous Boundary Layer in Turbulent Rayleigh-Bénard Convection

Quan Zhou and Ke-Qing Xia
Phys. Rev. Lett. 104, 104301 – Published 12 March 2010

Abstract

We report measurements of the instantaneous viscous boundary layer (BL) thickness δv(t) in turbulent Rayleigh-Bénard convection. It is found that δv(t) obtained from the measured instantaneous two-dimensional velocity field exhibits intermittent fluctuations. For small values, δv(t) obeys a lognormal distribution, whereas for large values, the distribution of δv(t) exhibits an exponential tail. The variation of δv(t) with time is found to be driven by the fluctuations of the large-scale mean-flow velocity, and the local horizontal velocities close to the plate can be used as an instant measure of this variation. It is further found that in the present parameter range of the experiment, the mean velocity profile measured in the laboratory frame can be brought into coincidence with the theoretical Prandtl-Blasius laminar BL profile, if it is resampled relative to the time-dependent frame of δv(t).

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  • Received 30 August 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.104301

©2010 American Physical Society

Authors & Affiliations

Quan Zhou1,2 and Ke-Qing Xia1

  • 1Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
  • 2Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

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Vol. 104, Iss. 10 — 12 March 2010

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