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  Transition to the ultimate regime in two-dimensional Rayleigh-Benard convection

Zhu, X., Mathai, V., Stevens, R. J. A. M., Verzicco, R., & Lohse, D. (2018). Transition to the ultimate regime in two-dimensional Rayleigh-Benard convection. Physical Review Letters, 120(14): 144502. doi:10.1103/PhysRevLett.120.144502.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-3142-D Version Permalink: http://hdl.handle.net/21.11116/0000-0003-C484-A
Genre: Journal Article

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Zhu, X., Author
Mathai, V., Author
Stevens, R. J. A. M., Author
Verzicco, R., Author
Lohse, Detlef1, Author              
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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 Abstract: The possible transition to the so-called ultimate regime, wherein both the bulk and the boundary layers are turbulent, has been an outstanding issue in thermal convection, since the seminal work by Kraichnan [Phys. Fluids 5, 1374 (1962)]. Yet, when this transition takes place and how the local flow induces it is not fully understood. Here, by performing two-dimensional simulations of Rayleigh-Benard turbulence covering six decades in Rayleigh number Ra up to 10(14) for Prandtl number Pr = 1, for the first time in numerical simulations we find the transition to the ultimate regime, namely, at Ra* = 10(13). We reveal how the emission of thermal plumes enhances the global heat transport, leading to a steeper increase of the Nusselt number than the classical Malkus scaling Nu similar to Ra-1/3 [Proc. R. Soc. A 225, 196 (1954)]. Beyond the transition, the mean velocity profiles are logarithmic throughout, indicating turbulent boundary layers. In contrast, the temperature profiles are only locally logarithmic, namely, within the regions where plumes are emitted, and where the local Nusselt number has an effective scaling Nu similar to Ra-0.38, corresponding to the effective scaling in the ultimate regime.

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Language(s): eng - English
 Dates: 2018-04-062018-04-06
 Publication Status: Published in print
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 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevLett.120.144502
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Title: Physical Review Letters
Source Genre: Journal
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Pages: 6 Volume / Issue: 120 (14) Sequence Number: 144502 Start / End Page: - Identifier: -