Wavelength selection in Rayleigh-Bénard convection

Lorenz Kramer*, Hermann Riecke

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

Rayleigh-Bénard convection is considered in the presence of a weakly nonuniform temperature distribution and weakly nonuniform layer height with their gradients perpendicular to the (parallel) convection rolls. In the infinite Prandtl number limit the phase equation that describes the slow spatial and temporal evolution of the local wave number is derived. Evaluating the equation near threshold and for stress-free boundary conditions we find nonuniversal wavenumber selection, forced phase diffusion with moving patterns, and other measurable effects.

Original languageEnglish (US)
Pages (from-to)245-251
Number of pages7
JournalZeitschrift für Physik B Condensed Matter
Volume59
Issue number3
DOIs
StatePublished - Sep 1 1985

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

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