BENARD CONVECTION WITH TIME-PERIODIC HEATING.

Michael 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 delta . Weakly-nonlinear stability theory shows that the modulation produces a range of stable hexagons near the critical Reynolds number. For small delta the range is O( delta **4) 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
StatePublished - Apr 1984
Externally publishedYes

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ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

Cite this

Roppo, M., Davis, S. H., & Rosenblat, S. (1984). BENARD CONVECTION WITH TIME-PERIODIC HEATING. Physics of Fluids, 27(4), 796-803.