Weakly non-linear stability analysis of thermal convection in Jeffery fluids saturated anisotropic porous medium under gravity modulation.

The present analysis is aimed to study the influence of gravity modulation on Jeffery fluids saturated anisotropic porous medium. The solution of Ginzburg-Landau equation (GLE) is derived to calculate heat transfer with the help of weakly nonlinear analysis. The graph shows that the start of convection is increases by increase of mechanical anisotropic parameter and Jeffery parameter, on other hand the start of convection is delayed for thermal anisotropic parameter. The Nusselt number is decreases with increase in Jeffery parameter, mechanical anisotropic parameter and thermal anisotropic parameter so heat transfer diminish and therefore system become stable. On other hand heat transport increases due to increase in Vadasz number so system become unstable. [ABSTRACT FROM AUTHOR]