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arXiv · 0705.3927

Standing and travelling waves in cylindrical Rayleigh-Benard convection

Katarzyna Boronska·Laurette S. Tuckerman
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Abstract

The Boussinesq equations for Rayleigh-Benard convection are simulated for a cylindrical container with an aspect ratio near 1.5. The transition from an axisymmetric stationary flow to time-dependent flows is studied using nonlinear simulations, linear stability analysis and bifurcation theory. At a Rayleigh number near 25,000, the axisymmetric flow becomes unstable to standing or travelling azimuthal waves. The standing waves are slightly unstable to travelling waves. This scenario is identified as a Hopf bifurcation in a system with O(2) symmetry.

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Katarzyna Boronska, Laurette S. Tuckerman. 2007-05-31. Standing and travelling waves in cylindrical Rayleigh-Benard convection. https://doi.org/10.1017/s0022112006000309

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