Standing and travelling waves in cylindrical Rayleigh-Benard convection
Fluid Dynamics
2007-06-13 v2
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.
Keywords
Cite
@article{arxiv.0705.3927,
title = {Standing and travelling waves in cylindrical Rayleigh-Benard convection},
author = {Katarzyna Boronska and Laurette S. Tuckerman},
journal= {arXiv preprint arXiv:0705.3927},
year = {2007}
}