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

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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.
Original languageUndefined
Pages (from-to)31-1-31-13
Number of pages13
JournalJournal of fluid mechanics
Volume688
DOIs
Publication statusPublished - 2011

Keywords

  • Bénard convection
  • Turbulent convection
  • IR-78908
  • EC Grant Agreement nr.: FP7/222919
  • METIS-279971
  • turbulence simulation

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