Strong Resonance in Forced Oscillatory Convection

  • S. Fauve
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 41)


We report results of an experimental study of the flow regimes observed when time-periodic convection is forced with an external frequency. The physical system is a layer of mercury heated from below. When the temperature difference across the layer exceeds a critical value ΔT ο, the oscillatory instability of convection rolls leads to a time-periodic regime at a “natural” frequency f o. The layer of mercury is rotated with a periodic angular velocity about a vertical axis at frequency f e, and amplitude A e. The different flow regimes which result from the competition between the two oscillators are studied in the two-parameter space (A e, f e). In addition to the well documented locked (f e/f o = n/p, n and p integers) and quasiperiodic (f e/f o irrational) states, we observe a new flow regime where the natural oscillator is completely inhibited by the external one. We study the transition between the different regimes and show that most of the experimental results can be interpreted within normal form analysis.


Experimental Study Angular Velocity Temperature Difference Vertical Axis Normal Form 
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  1. A. Chiffaudel, S. Fauve: Phys. Rev., A35, 4004 (1987).ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • S. Fauve
    • 1
  1. 1.Groupe de Physique de Solide de l’Ecole Normale SupérieureUniversité de Paris VIIParis Cedex 05France

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