On geometry effects in Rayleigh-Bénard convection

Siegfried Grossmann, Detlef Lohse

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Abstract

Various recent experiments hint at a geometry dependence of scaling relations in Rayleigh–Bénard convection. Aspect ratio and shape dependences have been found. In this paper a mechanism is suggested which can account for such dependences, based on Prandtl's theory for laminar boundary layers and on the conservation of volume flux of the large-scale wind. The mechanism implies the possibility of different thicknesses of the kinetic boundary layers at the sidewalls and at the top/bottom plates, as found experimentally, and also different Ra-scaling of the wind over the plates and at the sidewalls. A scaling argument for the velocity and temperature fluctuations in the bulk is also developed.
Original languageUndefined
Pages (from-to)105-114
Number of pages10
JournalJournal of fluid mechanics
Volume486
DOIs
Publication statusPublished - 2003

Keywords

  • METIS-212018
  • IR-40522

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