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

Richard J.A.M. Stevens, Quan Zhou, Siegfried Grossmann, Roberto Verzicco, Ke Qing Xia, Detlef Lohse

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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
Original languageEnglish
Article number027301
Number of pages5
JournalPhysical review E: Statistical, nonlinear, and soft matter physics
Volume85
Issue number2
DOIs
Publication statusPublished - 2012

Keywords

  • METIS-284413
  • IR-79685

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