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  Ultimate-state transition of turbulent Rayleigh-Benard convection

Ahlers, G., Bodenschatz, E., & He, X. (2017). Ultimate-state transition of turbulent Rayleigh-Benard convection. Physical Review Fluids, 2(5): 054603. doi:10.1103/PhysRevFluids.2.054603.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-58E6-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-58E7-B
Genre: Journal Article

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Ahlers, Günter1, Author              
Bodenschatz, Eberhard1, Author              
He, X., Author
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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: Recently Schumacher et al. [Phys. Rev. Fluids 1, 084402 (2016)] used direct numerical simulation to calculate the shear stress exerted on the top and bottom viscous boundary layers (BLs) of Rayleigh-Benard convection with a Prandtl number Pr = 0.021 and aspect ration Gamma = 1 for Rayleigh numbers Ra up to 4 x 10(8). By extrapolating their results to larger Ra, they concluded that the sample would undergo a transition to turbulent BLs and enter the "ultimate state" at Ra* similar or equal to 10(11) for Pr = 0.021. Here we show that their result is consistent with the experimentally determined Ra* = 2 x 10(13) for Pr = 0.82 by He et al. [ Phys. Rev. Lett. 108, 024502 (2012); New J. Phys. 17, 063028 (2015)] and the Pr dependence of Ra* predicted by Grossmann and Lohse [ Phys. Rev. E 66, 016305 (2002)]. Thus the numerical results of Schumacher et al. support the interpretation of the experimentally observed transition at Ra* = 2 x 10(13) for Pr = 0.82 as the ultimate-state transition.

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Language(s): eng - English
 Dates: 2017-05-03
 Publication Status: Published online
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevFluids.2.054603
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Title: Physical Review Fluids
Source Genre: Journal
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Pages: 4 Volume / Issue: 2 (5) Sequence Number: 054603 Start / End Page: - Identifier: -