Ultimate state of two-dimensional Rayleigh-Bénard convection between free-slip fixed-temperature boundaries

Ultimate state of two-dimensional Rayleigh-Bénard convection between free-slip fixed-temperature boundaries

Rigorous upper limits on the vertical heat transport in two-dimensional Rayleigh-Bénard convection between stress-free isothermal boundaries are derived from the Boussinesq approximation of the Navier-Stokes equations. The Nusselt number Nu is bounded in terms of the Rayleigh number Ra according to...

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Veröffentlicht in:Physical review letters 2011-06, Vol.106 (24), p.244501-244501, Article 244501
Hauptverfasser: Whitehead, Jared P, Doering, Charles R
Format: Artikel
Sprache:eng
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Zusammenfassung:Rigorous upper limits on the vertical heat transport in two-dimensional Rayleigh-Bénard convection between stress-free isothermal boundaries are derived from the Boussinesq approximation of the Navier-Stokes equations. The Nusselt number Nu is bounded in terms of the Rayleigh number Ra according to Nu≤0.2891Ra(5/12) uniformly in the Prandtl number Pr. This scaling challenges some theoretical arguments regarding asymptotic high Rayleigh number heat transport by turbulent convection.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.106.244501