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



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ID: 590680.0, MPI für Dynamik und Selbstorganisation / Hydrodynamik und Strukturbildung
Transition to the Ultimate State of Turbulent Rayleigh-Bénard Convection
Authors:He, Xiaozhou; Funfschilling, Denis; Nobach, Holger; Bodenschatz, Eberhard; Ahlers, Guenter
Language:English
Date of Publication (YYYY-MM-DD):2012-01-09
Title of Journal:Physical Review Letters
Journal Abbrev.:Phys. Rev. Lett.
Volume:108
Start Page:024502-1
End Page:024502-5
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:Measurements of the Nusselt number Nu and of a Reynolds number Re(eff) for Rayleigh-Bénard convection (RBC) over the Rayleigh-number range 10(12)≲Ra≲10(15) and for Prandtl numbers Pr near 0.8 are presented. The aspect ratio Γ≡D/L of a cylindrical sample was 0.50. For Ra≲10(13) the data yielded Nu∝Ra(γ(eff)) with γ(eff)≃0.31 and Re(eff)∝Ra(ζ(eff)) with ζ(eff)≃0.43, consistent with classical turbulent RBC. After a transition region for 10(13)≲Ra≲5×10(14), where multistability occurred, we found γ(eff)≃0.38 and ζ(eff)=ζ≃0.50, in agreement with the results of Grossmann and Lohse for the large-Ra asymptotic state with turbulent boundary layers which was first predicted by Kraichnan.
External Publication Status:published
Document Type:Article
Communicated by:Folkert Müller-Hoissen
Affiliations:MPI für Dynamik und Selbstorganisation/Hydrodynamik und Strukturbildung
External Affiliations:LRGP CNRS - GROUPE ENSIC, BP 451, 54001 Nancy Cedex, France;
Institute for Nonlinear Dynamics, University of Göttingen, D-37073 Göttingen, Germany;
Laboratory of Atomic and Solid-State Physics and Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA;
Department of Physics, University of California, Santa Barbara, California 93106, USA
Identifiers:URL:http://link.aps.org/doi/10.1103/PhysRevLett.108.02...
DOI:10.1103/PhysRevLett.108.024502
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