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Prandtl and Rayleigh number dependence of heat transport in high Rayleigh number thermal convection

  • Richard J. A. M. Stevens (a1), Detlef Lohse (a1) and Roberto Verzicco (a1) (a2)
Abstract
Abstract

Results from direct numerical simulation for three-dimensional Rayleigh–Bénard convection in samples of aspect ratio and up to Rayleigh number are presented. The broad range of Prandtl numbers is considered. In contrast to some experiments, we do not see any increase in with increasing , neither due to an increasing , nor due to constant heat flux boundary conditions at the bottom plate instead of constant temperature boundary conditions. Even at these very high , both the thermal and kinetic boundary layer thicknesses obey Prandtl–Blasius scaling.

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Corresponding author
Email address for correspondence: r.j.a.m.stevens@tnw.utwente.nl
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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Type Description Title
VIDEO
Movies

Stevens et al. supplementary movies
Movie of the vertical velocity field in a vertical cut for the simulation at Ra = 2 x 1012 and Pr = 0.7 in an aspect ratio Γ = 0.5 sample. The dimensionless time is indicated in the top of the movie.

 Video (8.0 MB)
8.0 MB
VIDEO
Movies

Stevens et al. supplementary movies
Movie of the temperature in three horizontal planes (0:25z/L, 0:50z/L, and 0:75z/L) for the simulation at Ra = 2 x 1012 and Pr = 0.7 in an aspect ratio Γ = 0.5 sample. The dimensionless time is indicated in the top of the movie.

 Video (8.0 MB)
8.0 MB
VIDEO
Movies

Stevens et al. supplementary movies
Movie of the temperature field in a vertical cut for the simulation at Ra = 2 x 1012 and Pr = 0.7 in an aspect ratio Γ = 0.5 sample. The dimensionless time is indicated in the top of the movie. This vertical cut is perpendicular to the plane shown in movie 1.

 Video (6.9 MB)
6.9 MB
VIDEO
Movies

Stevens et al. supplementary movies
Movie of the temperature field in a vertical cut for the simulation at Ra = 2 x 1012 and Pr = 0.7 in an aspect ratio Γ = 0.5 sample. The dimensionless time is indicated in the top of the movie.

 Video (8.0 MB)
8.0 MB
VIDEO
Movies

Stevens et al. supplementary movies
Movie of the vertical velocity field in three horizontal planes (0:25z/L, 0:50z/L, and 0:75z/L) for the simulation at Ra = 2 x 1012 and Pr = 0.7 in an aspect ratio Γ = 0.5 sample. The dimensionless time is indicated in the top of the movie.

 Video (8.0 MB)
8.0 MB
VIDEO
Movies

Stevens et al. supplementary movies
Movie of the vertical velocity field in a vertical cut for the simulation at Ra = 2 x 1012 and Pr = 0.7 in an aspect ratio Γ = 0.5 sample. The dimensionless time is indicated in the top of the movie. This vertical cut is perpendicular to the plane shown in movie 2.

 Video (6.9 MB)
6.9 MB

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