Surface Tension Driven Instability Due to Internal Heat Sources in a Horizontal Layer of Binary Liquid Mixture
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概要
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Linear stability theory is applied to the problem of the onset of surface-tension-driven instability in a horizontal layer of binary liquid mixture confined at the bottomby a rigid, thermally insulating wall and at the top by a non-deformable free surfaceat which Newton's cooling law is assumed to hold. It is also assumed that the liquidlayer is heated by uniformly distributed internal heat sources which produce anonlinear temperature profile and, in addition, a nonlinear concentration profilethrough the Soret effect. By neglecting small terms including the Soret coefficient 5.,an eigenvalue system of eighth order is derived and is then solved exactly. For wideranges of various parameters, the conditions under which instability sets in are defer-mined numerically. As compared with the corresponding linear temperature case (M.Takashima: J. Phys. Soc. Jpn. 47 (1979) [321; 49 ([980) 802), it is found that thenonlinear temperature profile produced by internal heat sources makes the liquidlayer less stable for both stationary and oscillatory modes.
- 社団法人日本物理学会の論文
- 1988-02-15
著者
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MORI Kazuhiro
Department of Pediatrics, School of Medicine, University of Tokushima
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TAKASHIMA Masaki
Departments of Pathology II, Kyushu University Faculty of Medicine
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Takashima Masaki
Department Of Obstetrics And Gynecology Kobe University School Of Medicine
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Mori Kazuhiro
Department Of Anatomy Okayama University Medical School:(present Address) Section Of Pathology Osaka
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Mori Kazuhiro
Department Of Physics Faculty Of Science Osaka City University
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Takashima Masaki
Department Of Human Pathology Tokyo Medical And Dental University
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