title: Thermal boundary layer profiles in turbulent Rayleigh-Bénard convection in a cylindrical sample.
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 = 10(8) to Ra = 2 × 10(12) 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.
authors.affiliation: Physics of Fluids Group, Department of Science and Technology and JM Burgers Center for Fluid Dynamics, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands.
authors.forename: Richard J A M
authors.initials: RJ
authors.lastname: Stevens
authors.forename: Quan
authors.initials: Q
authors.lastname: Zhou
authors.forename: Siegfried
authors.initials: S
authors.lastname: Grossmann
authors.forename: Roberto
authors.initials: R
authors.lastname: Verzicco
authors.forename: Ke-Qing
authors.initials: KQ
authors.lastname: Xia
authors.forename: Detlef
authors.initials: D
authors.lastname: Lohse