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National Chung Hsing University Institutional Repository - NCHUIR > 理學院 > 應用數學系所 > 依資料類型分類 > 期刊論文 >  Onset of stationary Benard-Marangoni convection in a fluid layer with variable surface tension and viscosity

Please use this identifier to cite or link to this item: http://nchuir.lib.nchu.edu.tw/handle/309270000/135685

標題: Onset of stationary Benard-Marangoni convection in a fluid layer with variable surface tension and viscosity
作者: Char, M.I.;Chen, C.C.
關鍵字: thermal-convection;stability analysis;vertical slot;porous-medium;temperature
日期: 1997
Issue Date: 2012-12-14 12:05:33 (UTC+8)
關連: Journal of Physics D-Applied Physics, Volume 30, Issue 24, Page(s) 3286-3295.
摘要: The onset of stationary Benard-Marangoni convective instabilities in a fluid layer with thermally dependent surface tension and viscosity is studied by means of linear stability analysis. The dependence of viscosity and surface tension of the fluid on temperature is assumed to be exponential and linear respectively. The upper surface is free and is subject to a general thermal condition, while the lower boundary is rigid and is fixed at a constant temperature or a constant heat flux. For the latter case, the analytically asymptotic solution of long wavelength is obtained. For pure Benard convection, the system becomes more stable when the Biot number Bi increases. For both the upper and lower boundaries fixed at a constant heat flux, the critical Rayleigh number R-c decreases monotonically with the physical viscosity parameter B, and the corresponding critical wavenumber a(c) vanishes. The Blot number Bi, affecting the system, depends strongly on the parameter Gamma(=M/R). The critical Rayleigh number R-c decreases with Gamma and a jump in the critical wavenumber a(c) for large Gamma and B and small Bi exists. The critical conditions R-c and a(c), for various values of Gamma or Bi, approach constant values as the viscosity parameter B becomes large.
Relation: Journal of Physics D-Applied Physics
Appears in Collections:[依資料類型分類] 期刊論文
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