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Related Experiment Videos

Square patterns in rotating Rayleigh-Bénard convection.

J J Sánchez-Alvarez1, E Serre, E Crespo del Arco

  • 1Departamento aFísica Fundamental, UNED, Apartado 60.141,28080 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 26, 2005
PubMed
Summary

The Küppers-Lortz instability in rotating convection typically causes spatiotemporal chaos. However, this study reveals square patterns emerge under realistic boundary conditions, challenging the established theory.

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Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Spatiotemporal Chaos

Background:

  • The Küppers-Lortz instability in rotating Rayleigh-Bénard convection is a known source of spatiotemporal chaos.
  • This instability leads to continuous replacement of convection roll patterns with a 60-degree axis switch.
  • Previous experiments observed unexpected square patterns in cylindrical layers, contradicting the standard Küppers-Lortz scenario.

Purpose of the Study:

  • To investigate the formation of square patterns in rotating Rayleigh-Bénard convection.
  • To explore the influence of realistic boundary conditions on convection patterns.
  • To numerically reproduce and analyze the observed square patterns.

Main Methods:

  • Solving Navier-Stokes and heat transport equations using the Oberbeck-Boussinesq approximation.

Related Experiment Videos

  • Employing a pseudospectral numerical method with second-order time accuracy.
  • Simulating convection in a cylindrical layer with realistic boundary conditions.

    • Main Results:

    • Square patterns were successfully generated numerically.
    • The rotation velocity of the square pattern increases linearly with the control parameter (epsilon).
    • Square pattern velocity decreases with increasing cylinder aspect ratio, indicating lateral confinement is crucial.

    Conclusions:

    • Square patterns appear in laterally confined rotating convection, deviating from the Küppers-Lortz instability predictions.
    • The stability range of these square patterns diminishes in more extended layers.
    • Numerical results align with experimental observations of square patterns under specific conditions.