Tuesday, February 5, 2013

1302.0735 (Jezabel Curbelo et al.)

Bifurcations and dynamics in convection with temperature-dependent
viscosity under the presence of the O(2) symmetry

Jezabel Curbelo, Ana M. Mancho
This article is focused on the study of a convection problem in a 2D set-up in the presence of the O(2) symmetry. In the fluid, viscosity depends on the temperature by changing its value abruptly in an interval around a temperature of transition. We explore the morphology of the plumes for several parameter settings in the viscosity law and perform bifurcation studies at several aspect ratios. We report that at a large aspect ratio and high Rayleigh numbers, travelling waves, heteroclinic connections and chaotic regimes are found, which are greatly influenced by the presence of the symmetry.
View original: http://arxiv.org/abs/1302.0735

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