Standing and travelling waves in cylindrical Rayleigh-Benard convection

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dc.creatorBoronska, Katarzyna
dc.creatorTuckerman, Laurette S.
dc.date2007-05-27
dc.date2007-05-31
dc.date.accessioned2026-07-07T08:09:24Z
dc.date.available2026-07-07T08:09:24Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/0705.3927
dc.identifierhttp://arxiv.org/abs/0705.3927
dc.identifierJ. Fluid Mech. 559, 279-298 (2006)
dc.identifierdoi:10.1017/S0022112006000309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131528
dc.subjectFluid Dynamics
dc.titleStanding and travelling waves in cylindrical Rayleigh-Benard convection
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