Prandtl and Rayleigh number dependence of heat transport in high Rayleigh number thermal convection
By Richard J.A.M. Stevens, Detlef Lohse, Roberto Verzicco. Journal of Fluid Mechanics, 2011
143 citations recorded by the source corpus.
Abstract Results from direct numerical simulation for three-dimensional Rayleigh–Bénard convection in samples of aspect ratio $\Gamma = 0. 23$ and $\Gamma = 1/ 2$ up to Rayleigh number $\mathit{Ra}= 2\ensuremath{\times} 1{0}^{12} $ are presented. The broad range of Prandtl numbers $0. 5\lt \mathit{Pr}\lt 10$ is considered. In contrast to some experiments, we do not see any increase in $\mathit{Nu}/ {\mathit{Ra}}^{1/ 3} $ with increasing $\mathit{Ra}$, neither due to an increasing $\mathit{Pr}$, nor due to constant heat flux boundary conditions at the bottom plate instead of constant temperature boundary conditions. Even at these very high $\mathit{Ra}$, both the thermal and kinetic boundary layer thicknesses obey Prandtl–Blasius scaling.
Subfields: Biomedical Engineering, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/e4f702ab7e68b08bfc1648cc502916e73a71ae69
How researchers see this paper
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In Biomedical Engineering
In Computational Mechanics
- Detlef Lohse
- S. Grossmann
- Richard J.A.M. Stevens
- Erwin P. van der Poel
- J. LaCasce
- G. Ahlers
- Bruno Eckhardt
- Jerry Westerweel
Citations in the corpus
- The unifying theory of scaling in thermal convection: the updated prefactors (2013, result): “Meanwhile Stevens et al. (2010c, 2011a) achieved Ra = 2 ·1012 at Pr = 0.7 in a Γ = 1/2 sample and obtained a good agreement with the experimental data of He et al. (2012b) and Niemela et al. (2000).”