Competition of the Two Unstable Modes in the Rayleigh-Benard Convection
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概要
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A model dynamical system which governs time evolution of the convection rolls in a rectangular box is investigated. With increase of the vertical temperature gradient R, either the real mode or the complex mode instability triggers the transition of the steady convection state depending on whether the side length of the box perpendicular to the roll axis Γ_y is less or greater than a certain critical value. In the neighborhood of this critical value a variety of dynamical behavior originating from competition of these real and complex modes are observed. With further increase of R it is found by numerical time integration of the system that the bifurcation sequences leading to chaos take various forms depending on the value of Γ_y. In addition, temporal evolution of the spatial patterns of convection is presented using the isopleths of the temperature and the velocity fields for several different time-dependent states.
- 理論物理学刊行会の論文
- 1987-08-25
著者
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YAHATA Hideo
Department of Materials Science, Faculty of Science, Hiroshima University
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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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