Thermal Instability of a Fluid in a Spherical Shell with Thin Layer Approximation Analysis
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概要
- 論文の詳細を見る
The thermal instability of a fluid layer confined in a spherical shell is investigated on a linear theory basis. The dependence of the critical Rayleigh number on the functional form of the gravity distribution is investigated. An asymptotic analysis is also made for very thin layer case by an expansion with R^<-1>, where R is the radius of the inner sphere normalized by the thickness of the fluid layer. The critical Rayleigh number is obtained as Ra_c=Ra^<(0)>_c[1+(1-(3/2)λ_G)R^<-1>]+O(R^<-2>), where λ_G is the density ratio of the fluid to the matter inside the inner sphere. The asymptotic expression of the Rayleigh number is shown to be a good approximation even for R of order one.
- 社団法人日本物理学会の論文
- 1994-06-15
著者
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MIZUSHIMA Jiro
Department of Information Science,Sagami Institute of Technology
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Mizushima Jiro
Department Of Information Science Sagami Institute Of Technology
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ARAKI Keisuke
Theory and Computer Simulation Center,National Institute for Fusion Science
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Araki Keisuke
Department of Physics, Faculty of Science, Kyoto University
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Yanase Sinichiro
Engineering Mathematics, Faculty of Engineering, Okayama University
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Yanase Sinichiro
Engineering Mathematics Faculty Of Engineering Okayama University
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Araki K
National Inst. Fusion Sci. Nagoya
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Araki Keisuke
Department Of Chemistry Graduate School Of Science Nagoya University
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