Fluid convection in a rotating porous layer under modulated temperature on the boundaries

被引：0
作者：
B. S. Bhadauria
机构：
[1] Jai Narain Vyas University,Department of Mathematics and Statistics
来源：
Transport in Porous Media | 2007年 / 67卷
关键词：
Thermal convection; Modulation; Rayleigh number; Porous medium; Rotation; Galerkin method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The linear stability of thermal convection in a rotating horizontal layer of fluid-saturated porous medium, confined between two rigid boundaries, is studied for temperature modulation, using Brinkman’s model. In addition to a steady temperature difference between the walls of the porous layer, a time-dependent periodic perturbation is applied to the wall temperatures. Only infinitesimal disturbances are considered. The combined effect of rotation, permeability and modulation of walls’ temperature on the stability of flow through porous medium has been investigated using Galerkin method and Floquet theory. The critical Rayleigh number is calculated as function of amplitude and frequency of modulation, Taylor number, porous parameter and Prandtl number. It is found that both, rotation and permeability are having stabilizing influence on the onset of thermal instability. Further it is also found that it is possible to advance or delay the onset of convection by proper tuning of the frequency of modulation of the walls’ temperature.
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页码：297 / 315
页数：18
相关论文
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