Prandtl-Blasius temperature and velocity boundary-layer profiles in turbulent Rayleigh-Bénard convection

Quan Zhou, Richard Johannes Antonius Maria Stevens, K. Sugiyama, Siegfried Grossmann, Detlef Lohse, K. Xia

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Abstract

The shapes of the velocity and temperature profiles near the horizontal conducting plates' centre regions in turbulent Rayleigh–Bénard convection are studied numerically and experimentally over the Rayleigh number range 108 ≲ Ra ≲ 3 × 1011 and the Prandtl number range 0.7 ≲ Pr ≲ 5.4. The results show that both the temperature and velocity profiles agree well with the classical Prandtl–Blasius (PB) laminar boundary-layer profiles, if they are re-sampled in the respective dynamical reference frames that fluctuate with the instantaneous thermal and velocity boundary-layer thicknesses. The study further shows that the PB boundary layer in turbulent thermal convection not only holds in a time-averaged sense, but is most of the time also valid in an instantaneous sense
Original languageUndefined
Pages (from-to)297-312
Number of pages16
JournalJournal of fluid mechanics
Volume664
DOIs
Publication statusPublished - 2010

Keywords

  • Convection
  • Boundary layers
  • IR-79254
  • METIS-270426
  • Bénard convection

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