Onset of Chaos in the Rayleigh-Benard Convection
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概要
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Time evolution of the Rayleigh-Benard convection near the transition to chaos is investigated using Galyorkin systems of ordinary differential equations containing several dozen variables. The small aspect-ratio systems that are confined in a rectangular box or a cylindrical cell are considered. Computations were performed with gradual increase of the Rayleigh number under several chosen values of the Prandtl number, the aspect ratio, the non-Boussinesq parameters and the Taylor number. Depending on the values of these external parameters, the routes to chaos exhibited by the present dynamical systems are as follows: (a) period-doubling cascade; (b) destruction of the two-torus with or without an intervenient phase-locked state; (c) excitation of intermittent bursts. The computational results are compared with those by experimental observations and those for low-dimensional dynamical systems.
- 理論物理学刊行会の論文
- 1985-03-20
著者
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Yahata Hideo
Department Of Materials Science Faculty Of Science
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YAHATA Hideo
Department of Materials Science, Hiroshima University
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