Anisotropy effect on the convection of a heat-conducting fluid in a porous medium and cosymmetry of the Darcy problem

被引:0
作者
M. A. Abdelhafez
V. G. Tsybulin
机构
[1] Southern Federal University,
[2] Sohag University,undefined
来源
Fluid Dynamics | 2017年 / 52卷
关键词
convection; porous media; anisotropy; stability;
D O I
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学科分类号
摘要
The onset of convection in a porous rectangle is analyzed with account for the anisotropy of the thermal parameters and the permeability. For the Darcy–Boussinesq equations the conditions under which the problem pertains to the class of cosymmetric systems are established and explicit formulas for the critical Rayleigh numbers corresponding to the loss of stability of the mechanical equilibrium are derived. The critical numbers and the branching stationary convection regimes are calculated using a finite difference method conserving the problem cosymmetry.
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页码:49 / 57
页数:8
相关论文
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