Folded Solution Branches in Rayleigh-Benard Convection in the Presence of Avoided Crossings of Neutral Stability Curves (Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
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概要
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Sidewall effect on the Rayleigh-Benard convection has been examined in a rectangular channel with finite aspect ratio, where the linear neutral stability curves avoid crossing on the Rayleigh number-aspect ratio plane. Numerical analysis shows that folded solution branches exist in the bifurcation diagram where the aspect ratio is adopted as the bifurcation parameter. To examine an origin of the fold, we formally derived amplitude equations. An analysis of the amplitude equations shows that certain nonlinear solutions, realized under the crossing of neutral stability curves, are split into two groups in the presence of the avoided crossing and that the folded branch arises.
- 社団法人日本物理学会の論文
- 2006-03-15
著者
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Kato Yuki
Department of Pharmaceutics and Therapeutics, Graduate School of Biomedical Sciences, Hiroshima Univ
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Fujimura Kaoru
Department Of Applied Mathematics And Physics Faculty Of Engineering Tottori University
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Kato Yuki
Department Of Applied Mathematics And Physics Tottori University
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Fujimura Kaoru
Tottori Univ. Tottori
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