Pattern formation during Rayleigh-Bénard convection in non-Boussinesq fluids

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dc.creatorXi, Hao-wen
dc.creatorGunton, J. D.
dc.creatorVinals, Jorge
dc.date1993-05-04
dc.date.accessioned2026-07-07T09:15:56Z
dc.date.available2026-07-07T09:15:56Z
dc.descriptionMotivated by recent experimental studies of Bodenschatz et al. [E. Bodenschatz, J.R. de Bruyn, G. Ahlers and D.S. Cannell, Phys. Rev. Lett. {\bf 67}, 3078 (1991) ], we present a numerical study of a generalized two dimensional Swift-Hohenberg equation to model pattern formation in Rayleigh-Bénard convection in a non-Boussinesq fluid. It is shown that many of the features observed in these experiments can be reproduced by this generalized model that explicitly includes non-Boussinesq and mean flow effects. The spontaneous formation of hexagons, rolls, and a rotating spiral pattern is studied, as well as the transitions and competition among them. Mean flow, non-Boussinesq effects, the geometric shape of the lateral wall, and sidewall forcing are all shown to be crucial in the formation of the rotating spirals. We also study nucleation and growth of hexagonal patterns and find that the front velocity in this two dimensional model is consistent with the prediction of marginal stability theory for one dimensional fronts.
dc.descriptionLaTeX. Figures available upon request
dc.identifierhttps://arxiv.org/abs/patt-sol/9305001
dc.identifierhttp://arxiv.org/abs/patt-sol/9305001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153191
dc.subjectPattern Formation and Solitons
dc.titlePattern formation during Rayleigh-Bénard convection in non-Boussinesq fluids
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