Prandtl-Blasius temperature and velocity boundary layer profiles in turbulent Rayleigh-Bénard convection

Details Prandtl-Blasius temperature and velocity boundary layer profiles in turbulent Rayleigh-Bénard convection Prandtl-Blasius temperature and velocity boundary layer profiles in turbulent Rayleigh-Bénard convection

2010-02-06

arxiv.org/abs/1002.1339v1

J. Fluid Mech. 664, 297-312 (2010)

Physics

Fluid Dynamics

10 pages, 6 figures

Scientific paper

10.1017/S0022112010003824

The shape of velocity and temperature profiles near the horizontal conducting plates in turbulent Rayleigh-B\'{e}nard convection are studied numerically and experimentally over the Rayleigh number range $10^8\lesssim Ra\lesssim3\times10^{11}$ and the Prandtl number range $0.7\lesssim Pr\lesssim5.4$. The results show that both the temperature and velocity profiles well agree with the classical Prandtl-Blasius laminar boundary-layer profiles, if they are re-sampled in the respective dynamical reference frames that fluctuate with the instantaneous thermal and velocity boundary-layer thicknesses.

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