Logarithmic temperature profiles in turbulent Rayleigh-Bénard convection

Guenter Ahlers; Eberhard Bodenschatz; Denis Funfschilling; Siegfried Grossmann; Xiaozhou He; Detlef Lohse; Richard J.A.M. Stevens; Roberto Verzicco

doi:10.1103/PhysRevLett.109.114501

Logarithmic temperature profiles in turbulent Rayleigh-Bénard convection

Guenter Ahlers^*
, Eberhard Bodenschatz
, Denis Funfschilling
, Siegfried Grossmann
, Xiaozhou He
, Detlef Lohse
, Richard J.A.M. Stevens
, Roberto Verzicco

^*Corresponding author for this work

University of California at Santa Barbara
Max Planck Institute for Dynamics and Self-Organization
University of Göttingen
Cornell University
GROUPE ENSIC
University of Marburg
University of Twente
Johns Hopkins University
University of Rome Tor Vergata

Research output: Contribution to journal › Article › peer-review

105 Scopus citations

Abstract

We report results for the temperature profiles of turbulent Rayleigh-Bénard convection (RBC) in the interior of a cylindrical sample of aspect ratio ΓD/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 4×10121015 for a Prandtl number Pr0.8 and on direct numerical simulation at Ra=2×1012, 2×1011, and 2×1010, all for Pr=0.7.

Original language	English
Article number	114501
Journal	Physical Review Letters
Volume	109
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.109.114501
State	Published - 14 Sep 2012
Externally published	Yes

Access to Document

10.1103/PhysRevLett.109.114501

Cite this

@article{4485b5635cd947818d2e4197e01ac4f1,

title = "Logarithmic temperature profiles in turbulent Rayleigh-B{\'e}nard convection",

abstract = "We report results for the temperature profiles of turbulent Rayleigh-B{\'e}nard convection (RBC) in the interior of a cylindrical sample of aspect ratio ΓD/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 4×10121015 for a Prandtl number Pr0.8 and on direct numerical simulation at Ra=2×1012, 2×1011, and 2×1010, all for Pr=0.7.",

author = "Guenter Ahlers and Eberhard Bodenschatz and Denis Funfschilling and Siegfried Grossmann and Xiaozhou He and Detlef Lohse and Stevens, \{Richard J.A.M.\} and Roberto Verzicco",

year = "2012",

month = sep,

day = "14",

doi = "10.1103/PhysRevLett.109.114501",

language = "英语",

volume = "109",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "11",

}

TY - JOUR

T1 - Logarithmic temperature profiles in turbulent Rayleigh-Bénard convection

AU - Ahlers, Guenter

AU - Bodenschatz, Eberhard

AU - Funfschilling, Denis

AU - Grossmann, Siegfried

AU - He, Xiaozhou

AU - Lohse, Detlef

AU - Stevens, Richard J.A.M.

AU - Verzicco, Roberto

PY - 2012/9/14

Y1 - 2012/9/14

N2 - We report results for the temperature profiles of turbulent Rayleigh-Bénard convection (RBC) in the interior of a cylindrical sample of aspect ratio ΓD/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 4×10121015 for a Prandtl number Pr0.8 and on direct numerical simulation at Ra=2×1012, 2×1011, and 2×1010, all for Pr=0.7.

AB - We report results for the temperature profiles of turbulent Rayleigh-Bénard convection (RBC) in the interior of a cylindrical sample of aspect ratio ΓD/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 4×10121015 for a Prandtl number Pr0.8 and on direct numerical simulation at Ra=2×1012, 2×1011, and 2×1010, all for Pr=0.7.

UR - https://www.scopus.com/pages/publications/84863648993

U2 - 10.1103/PhysRevLett.109.114501

DO - 10.1103/PhysRevLett.109.114501

M3 - 文章

AN - SCOPUS:84863648993

SN - 0031-9007

VL - 109

JO - Physical Review Letters

JF - Physical Review Letters

IS - 11

M1 - 114501

ER -

Logarithmic temperature profiles in turbulent Rayleigh-Bénard convection

Abstract

Access to Document

Other files and links

Fingerprint

Cite this