Phys. Rev. E 81, 036320 (2010) [13 pages]Extreme multiplicity in cylindrical Rayleigh-Bénard convection. I. Time dependence and oscillationsReceived 29 August 2009; published 26 March 2010 Rayleigh-Bénard convection in a cylindrical container can take on many different spatial forms. Motivated by the results of Hof et al. Phys. Fluids 11 2815 (1999), who observed coexistence of several stable states at a single set of parameter values, we have carried out simulations at the same Prandtl number, that of water, and a radius-to-height aspect ratio of two. We have used two kinds of thermal boundary conditions: perfectly insulating sidewalls and perfectly conducting sidewalls. In both cases we obtain a wide variety of coexisting steady and time-dependent flows. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.81.036320
DOI:
10.1103/PhysRevE.81.036320
PACS:
47.20.Ky, 47.20.Bp, 47.10.Fg, 47.11.Kb
See AlsoSee Also: Katarzyna Borońska and Laurette S. Tuckerman, Extreme multiplicity in cylindrical Rayleigh-Bénard convection. II. Bifurcation diagram and symmetry classification, Phys. Rev. E 81, 036321 (2010). |
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