Transport in Porous Media, Vol.92, No.3, 633-647, 2012
Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh-Benard Convection in a Rotating Porous Medium
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.