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  Logarithmic temperature profiles in turbulent Rayleigh-Bénard convection

Ahlers, G., Bodenschatz, E., Funfschilling, D., Grossmann, S., He, X., Lohse, D., et al. (2012). Logarithmic temperature profiles in turbulent Rayleigh-Bénard convection. Physical Review Letters, 109(11): 114501. doi:10.1103/PhysRevLett.109.114501.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-291E-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-291F-2
Genre: Journal Article

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Ahlers, G.1, Author              
Bodenschatz, E.1, Author              
Funfschilling, D., Author
Grossmann, S., Author
He, X.1, Author              
Lohse, D., Author
Stevens, R., Author
Verzicco, R., Author
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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 Abstract: 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 4×1012≲Ra≲1015 for a Prandtl number Pr≃0.8 and on direct numerical simulation at Ra=2×1012, 2×1011, and 2×1010, all for Pr=0.7.

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Language(s): eng - English
 Dates: 2012-09-14
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1103/PhysRevLett.109.114501
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Title: Physical Review Letters
Source Genre: Journal
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Pages: 5 Volume / Issue: 109 (11) Sequence Number: 114501 Start / End Page: - Identifier: -