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  Bulk temperature and heat transport in turbulent Rayleigh–Bénard convection of fluids with temperature-dependent properties

Weiß, S., He, X., Ahlers, G., Bodenschatz, E., & Shishkina, O. (2018). Bulk temperature and heat transport in turbulent Rayleigh–Bénard convection of fluids with temperature-dependent properties. Jouarnal of Fluid Mechanics, 851, 374-390. doi:10.1017/jfm.2018.507.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-710D-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-D976-4
Genre: Journal Article

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 Creators:
Weiß, Stefan1, Author              
He, Xiaozhou2, Author              
Ahlers, Guenter2, Author              
Bodenschatz, Eberhard2, Author              
Shishkina, Olga3, Author              
Affiliations:
1Research Group Clusterdynamik, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063296              
2Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              
3Laboratory for Fluid Physics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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 Abstract: We critically analyse the different ways to evaluate the dependence of the Nusselt number ( Nu) on the Rayleigh number ( Ra) in measurements of the heat transport in turbulent Rayleigh–Bénard convection under general non-Oberbeck–Boussinesq conditions and show the sensitivity of this dependence to the choice of the reference temperature at which the fluid properties are evaluated. For the case when the fluid properties depend significantly on the temperature and any pressure dependence is insignificant we propose a method to estimate the centre temperature. The theoretical predictions show very good agreement with the Göttingen measurements by He et al. (New J. Phys., vol. 14, 2012, 063030). We further show too the values of the normalized heat transport Nu/Ra1/3 are independent of whether they are evaluated in the whole convection cell or in the lower or upper part of the cell if the correct reference temperatures are used.

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Language(s): eng - English
 Dates: 2018-07-202018-09-25
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1017/jfm.2018.507
 Degree: -

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Title: Jouarnal of Fluid Mechanics
Source Genre: Journal
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Pages: - Volume / Issue: 851 Sequence Number: - Start / End Page: 374 - 390 Identifier: -