Convection in an anisotropic porous medium with temperature dependent viscosity and through flow under G-jitter

Abstract

In this present article, we study the combined effects of variable viscosity and throughflow in an anisotropic porous media under gravity modulation by reducing the model equations into Ginzgburg-Landau equation. A weak non-linear stability analysis has been performed by adopting power series expansion in terms of the amplitude (assumed to be small) of gravity modulation. The Nusselt number is obtained in terms of the amplitude for the stationary mode of convection. Heat transfer mechanism is done by Nusselt number by taking different parameters, and depicted it graphically. Further, it is found that on increasing the value of thermo-rheological parameter, heat transport is more in the system. The influence of amplitude (frequency) of gravity modulation enhance(diminish) the heat transport. The behaviour of vadasz number, anisotropic parameter, thermo-rheological parameter and péclet number on the system are also studied.