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          Institute: MPI für Dynamik und Selbstorganisation     Collection: Hydrodynamik und Strukturbildung     Display Documents

ID: 635535.0, MPI für Dynamik und Selbstorganisation / Hydrodynamik und Strukturbildung
Logarithmic Temperature Profiles in Turbulent Rayleigh-Bénard Convection
Authors:Ahlers, Guenter; Bodenschatz, Eberhard; Funfschilling, Denis; Grossmann, Siegfried; He, Xiaozhou; Lohse, Detlef; Stevens, Richard J. A. M.; Verzicco, Roberto
Date of Publication (YYYY-MM-DD):2012-09-14
Title of Journal:Physical Review Letters
Journal Abbrev.:Phys. Rev. Lett.
Start Page:114501-1
End Page:114501-5
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:We report results for the temperature profiles of turbulent Rayleigh-Bénard convection (RBC) in the interior of a cylindrical sample of aspect ratio Γ≡D/L=0.50 (D and L are the diameter and height, respectively). Both in the classical and in the ultimate state of RBC we find that the temperature varies as A×ln(z/L)+B, where z is the distance from the bottom or top plate. In the classical state, the coefficient A decreases in the radial direction as the distance from the side wall increases. For the ultimate state, the radial dependence of A has not yet been determined. These findings are based on experimental measurements over the Rayleigh-number range 4×10(12)≲Ra≲10(15) for a Prandtl number Pr≃0.8 and on direct numerical simulation at Ra=2×10(12), 2×10(11), and 2×10(10), all for Pr=0.7.
External Publication Status:published
Document Type:Article
Communicated by:Folkert Müller-Hoissen
Affiliations:MPI für Dynamik und Selbstorganisation/Hydrodynamik und Strukturbildung
External Affiliations:Department of Physics, University of California, Santa Barbara, California 93106, USA;
Institute for Nonlinear Dynamics, University of Goettingen, D-37073 Goettingen, Germany;
Laboratory of Atomic and Solid-State Physics and Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA;
LSGC CNRS - GROUPE ENSIC, BP 451, 54001 Nancy Cedex, France;
Fachbereich Physik der Philipps-Universitaet, Renthof 6, D-35032 Marburg, Germany;
Department of Science and Technology and J. M. Burgers Center for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;
Department of Mechanical Engineering, Universitá di Roma ’Tor Vergata’, Via del Politecnico 1, 00133 Roma, Italy
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