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

Becker, Nathan and Scheel, J. D. and Cross, M. C. and Ahlers, Guenter (2006) Effect of the centrifugal force on domain chaos in Rayleigh-Bénard convection. Physical Review E, 73 (6). Art. No. 066309. ISSN 1539-3755. doi:10.1103/PhysRevE.73.066309.

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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 f~epsilonµ with µ~=1 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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Additional Information:©2006 The American Physical Society (Received 14 November 2005; published 23 June 2006) We would like to thank Anand Jayaraman and Henry Greenside for some early unpublished work on the centrifugal force effect on domain chaos as well as useful discussions. We would also like to thank Werner Pesch for inspiring that early work. This work was supported by the National Science Foundation through Grant No. DMR02-43336 and by the Engineering Research Program of the Office of Basic Energy Sciences at the Department of Energy, Grant No. DE-FG03-98ER14891 and Grant No. DE-FG02-98ER14892. The numerical code was run on the following supercomputing sites, whom we gratefully acknowledge: the National Computational Science Alliance under DMR040001 which utilized the NCSA Xeon Linux Supercluster, the Center for Computational Sciences at Oak Ridge National Laboratory, which is supported by the Office of Science of the Department of Energy under Contract DE-AC05-00OR22725, and “Jazz,” a 350-node computing cluster operated by the Mathematics and Computer Science Division at Argonne National Laboratory as part of its Laboratory Computing Resource Center. Supplementary material: README and MPEG videos of Figure 1b, Figure 2, and Figure 3c.
Subject Keywords:chaos; pattern formation; Benard convection; rotational flow; flow simulation
Issue or Number:6
Record Number:CaltechAUTHORS:BECpre06
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ID Code:5207
Deposited By: Archive Administrator
Deposited On:05 Oct 2006
Last Modified:08 Nov 2021 20:23

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