Bénard convection with time-periodic heating

M. N. Roppo, S. H. Davis, S. Rosenblat

Research output: Contribution to journalArticle

124 Scopus citations

Abstract

A thin liquid layer, which is heated from below, has its lower boundary modulated sinusoidally in time with amplitude δ. Weakly-nonlinear stability theory shows that the modulation produces a range of stable hexagons near the critical Rayleigh number. For small δ the range is O(δ4) in size and decreases with modulation frequency. These hexagons bifurcate subcritically and correspond to downflow at cell centers.

Original languageEnglish (US)
Pages (from-to)796-803
Number of pages8
JournalPhysics of Fluids
Volume27
Issue number4
DOIs
StatePublished - Jan 1 1984

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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    Roppo, M. N., Davis, S. H., & Rosenblat, S. (1984). Bénard convection with time-periodic heating. Physics of Fluids, 27(4), 796-803. https://doi.org/10.1063/1.864707