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

DOI10.1017/S0022112010003824zbMATH Open1221.76101arXiv1002.1339WikidataQ56990677 ScholiaQ56990677MaRDI QIDQ3173356

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Publication date: 27 September 2011

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Abstract: 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 $10^{8}lesssimRalesssim3imes10^{11}$ and the Prandtl number range $0.7lesssimPrlesssim5.4$. 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.

Full work available at URL: https://arxiv.org/abs/1002.1339

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