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Title: Bifurcations and chaos in single-roll natural convection with low Prandtl number
Author: Mercader, Isabel
Batiste, O.
Ramírez Piscina, Laureano
Ruiz, Xavier
Rüdiger, S.
Casademunt i Viader, Jaume
Keywords: Mecànica de fluids
Caos (Teoria de sistemes)
Fluid mechanics
Chaotic behavior in systems
Issue Date: 25-Oct-2005
Publisher: American Institute of Physics
Abstract: Convective flows of a small Prandtl number fluid contained in a two-dimensional cavity subject to a lateral thermal gradient are numerically studied by using different techniques. The aspect ratio (length to height) is kept at around 2. This value is found optimal to make the flow most unstable while keeping the basic single-roll structure. Two cases of thermal boundary conditions on the horizontal plates are considered: perfectly conducting and adiabatic. For increasing Rayleigh numbers we find a transition from steady flow to periodic oscillations through a supercritical Hopf bifurcation that maintains the centrosymmetry of the basic circulation. For a Rayleigh number of about ten times that of the Hopf bifurcation the system initiates a complex scenario of bifurcations. In the conductive case these include a quasiperiodic route to chaos. In the adiabatic one the dynamics is dominated by the interaction of two Neimark-Sacker bifurcations of the basic periodic solutions, leading to the stable coexistence of three incommensurate frequencies, and finally to chaos. In all cases, the complex time-dependent behavior does not break the basic, single-roll structure.
Note: Reproducció del document publicat a:
It is part of: Physics of Fluids, 2005, vol. 17, p. 104108-1-104108-13
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ISSN: 0021-8979
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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