Transition to the Ultimate State of Turbulent Rayleigh-Bénard Convection | Zendy

Xiaozhou He | Zendy; Denis Fünfschilling | Zendy; Holger Nobach | Zendy; Eberhard Bodenschatz | Zendy; Guenter Ahlers | Zendy

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Transition to the Ultimate State of Turbulent Rayleigh-Bénard Convection

Author(s) -

Xiaozhou He,

Denis Fünfschilling,

Holger Nobach,

Eberhard Bodenschatz,

Guenter Ahlers

Publication year - 2012

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.108.024502

Subject(s) - turbulence , rayleigh–bénard convection , transition (genetics) , convection , state (computer science) , physics , mechanics , statistical physics , condensed matter physics , rayleigh number , classical mechanics , natural convection , computer science , biochemistry , chemistry , algorithm , gene

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

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