Statics and Dynamics of the Benard Convection Rolls in an Intermediate-Aspect-Ratio Vessel : General and Mathematical Physics
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概要
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Spatial structure and temporal evolution of thermal convection appearing in an intermediate-aspect-ratio box are studied using a model system of coupled-mode equations. The model simultaneously contains two kinds of the mode variables each representing the convection roll state with a definite total number of the rolls. The two are different from each other in the associated total number of the rolls. The 112-mode system is used to clarify spatial and temporal behavior of the convection rolls appearing in a rectangular box of proportions 10×4×1 at the Prandtl number σ=7. Actual computations were performed for several chosen sets of the total number of the rolls. For the model consisting of the 6- and 10-roll states, the transition from the 10- to the 6-roll state occurs with an increase of the Rayleigh number R, and an oscillatory motion with the frequency of the order of 10 mHz appears at higher Rayleigh numbers. By contrast, for the model consisting of the 6-and the 8-roll states, the 6-roll state dominates the spatial pattern over a wide range of R, and the system at higher values of R develops extremely slow oscillations with the frequency of the order of 1 mHz. Finally, for the model consisting of the 6- and the 12-roll states, although the 6-roll state likewise dominates the spatial pattern, the frequency of the oscillatory motion at higher values of R turns out to be of the order of 100 mHz, which is comparable to that widely observed in convection experiments on samll-aspect-ratio systems.
- 理論物理学刊行会の論文
- 1989-03-25
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 H
Hiroshima Univ. Hiroshima
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YAHATA Hideo
Department of Materials Science, Hiroshima University
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YAHATA Hideo
Department of Materials Science, Faculty of Science Hiroshima University
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