Effect of the centrifugal force on domain chaos in Rayleigh-Bénard convection

Nathan Becker, J. D. Scheel, M. C. Cross, and Guenter Ahlers
Phys. Rev. E 73, 066309 – Published 23 June 2006
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Abstract

Experiments and simulations from a variety of sample sizes indicated that the centrifugal force significantly affects the domain-chaos state observed in rotating Rayleigh-Bénard convection-patterns. In a large-aspect-ratio sample, we observed a hybrid state consisting of domain chaos close to the sample center, surrounded by an annulus of nearly stationary nearly radial rolls populated by occasional defects reminiscent of undulation chaos. Although the Coriolis force is responsible for domain chaos, by comparing experiment and simulation we show that the centrifugal force is responsible for the radial rolls. Furthermore, simulations of the Boussinesq equations for smaller aspect ratios neglecting the centrifugal force yielded a domain precession-frequency fεμ with μ1 as predicted by the amplitude-equation model for domain chaos, but contradicted by previous experiment. Additionally the simulations gave a domain size that was larger than in the experiment. When the centrifugal force was included in the simulation, μ and the domain size were consistent with experiment.

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  • Received 14 November 2005

DOI:https://doi.org/10.1103/PhysRevE.73.066309

©2006 American Physical Society

Authors & Affiliations

Nathan Becker1,*, J. D. Scheel2,†, M. C. Cross2,‡, and Guenter Ahlers1,§

  • 1Department of Physics and iQCD, University of California, Santa Barbara, California 93106, USA
  • 2Department of Physics, California Institute of Technology 114-36, Pasadena, California 91125, USA

  • *Electronic address: nbecker@physics.ucsb.edu
  • Electronic address: jscheel@its.caltech.edu
  • Electronic address: mcc@caltech.edu
  • §Electronic address: guenter@physics.ucsb.edu

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Issue

Vol. 73, Iss. 6 — June 2006

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