Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium

被引：0
作者：
B. S. Bhadauria
P. G. Siddheshwar
Jogendra Kumar
Om P. Suthar
机构：
[1] Babasaheb Bhimrao Ambedkar University,Department of Applied Mathematics and Statistics, School for Physical Sciences
[2] Bangalore University,Department of Mathematics
[3] DST—Centre for Interdisciplinary Mathematical Sciences,Department of Mathematics, Faculty of Science
[4] Banaras Hindu University,undefined
来源：
Transport in Porous Media | 2012年 / 92卷
关键词：
Ginzburg–Landau equation; Porous medium; Temperature modulation; Gravity modulation; Rotation;
D O I：
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中图分类号：
学科分类号：
摘要：
The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Landau equation for the stationary mode of convection is obtained and consequently the individual effect of temperature/gravity modulation on heat transport has been investigated. Further, the effect of various parameters on heat transport has been analyzed and depicted graphically.
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页码：633 / 647
页数：14
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