Standing and travelling waves in cylindrical Rayleigh-Benard convection

Details Standing and travelling waves in cylindrical Rayleigh-Benard convection Standing and travelling waves in cylindrical Rayleigh-Benard convection

2007-05-27

arxiv.org/abs/0705.3927v2

J. Fluid Mech. 559, 279-298 (2006)

Physics

Fluid Dynamics

Scientific paper

10.1017/S0022112006000309

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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