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arXiv · 0908.4343

Extreme multiplicity in cylindrical Rayleigh-Bénard convection: I. Time-dependence and oscillations

Katarayna Borońska·Laurette S. Tuckerman
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Abstract

Rayleigh-Benard convection in a cylindrical container can take on many different spatial forms. Motivated by the results of Hof, Lucas and Mullin [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 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.

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Katarayna Borońska, Laurette S. Tuckerman. 2010-01-18. Extreme multiplicity in cylindrical Rayleigh-Bénard convection: I. Time-dependence and oscillations. https://doi.org/10.1103/physreve.81.036320

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