Thermal boundary layer profiles in turbulent Rayleigh-Bénard convection in a cylindrical sample

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Stevens, R.J.A.M. and Zhou, Q. and Grossmann, S. and Verzicco, R. and Xia, K.Q. and Lohse, D. (2012) Thermal boundary layer profiles in turbulent Rayleigh-Bénard convection in a cylindrical sample. Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, 85 (2). 027301-1. ISSN 1063-651X

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Abstract:We numerically investigate the structures of the near-plate temperature profiles close to the bottom and top plates of turbulent Rayleigh-Bénard flow in a cylindrical sample at Rayleigh numbers Ra=108 to Ra=2×1012 and Prandtl numbers Pr=6.4 and Pr=0.7 with the dynamical frame method [ Zhou and Xia Phys. Rev. Lett. 104 104301 (2010)], thus extending previous results for quasi-two-dimensional systems to three-dimensional systems. The dynamical frame method shows that the measured temperature profiles in the spatially and temporally local frame are much closer to the temperature profile of a laminar, zero-pressure gradient boundary layer (BL) according to Pohlhausen than in the fixed reference frame. The deviation between the measured profiles in the dynamical reference frame and the laminar profiles increases with decreasing Pr, where the thermal BL is more exposed to the bulk fluctuations due to the thinner kinetic BL, and increasing Ra, where more plumes are passing the measurement location
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Copyright:© American Physical Society
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Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/79685
Official URL:http://dx.doi.org/10.1103/PhysRevE.85.027301
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