Rayleigh-Bénard Convection in a Vertically Oscillated Fluid Layer

Jeffrey L. Rogers, Michael F. Schatz, Jonathan L. Bougie, and Jack B. Swift
Phys. Rev. Lett. 84, 87 – Published 3 January 2000
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Abstract

We report on the first quantitative observations of convection in a fluid layer driven by both heating from below and vertical sinusoidal oscillation. Just above onset, convection patterns are modulated either harmonically or subharmonically to the drive frequency. Single-frequency patterns exhibit nearly solid-body rotations with harmonic and subharmonic states always rotating in opposite directions. Flows with both harmonic and subharmonic responses are found near a codimension-two point, yielding novel coexisting patterns with symmetries not found in either single-frequency states. Predictions from linear stability analysis of the onset Rayleigh and wave numbers compare well with experiment, and phase boundaries for coexisting patterns track single-frequency marginal stability curves.

  • Received 2 July 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.87

©2000 American Physical Society

Authors & Affiliations

Jeffrey L. Rogers* and Michael F. Schatz

  • School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430

Jonathan L. Bougie and Jack B. Swift

  • Department of Physics and Center for Nonlinear Dynamics, University of Texas, Austin, Texas 78712

  • *Electronic address: jeff@einstein.physics.gatech.edu
  • Electronic address: mike.schatz.physics.gatech.edu

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Vol. 84, Iss. 1 — 3 January 2000

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