Convection in an Anisotropic Porous Medium with Temperature Dependent Viscosity and Throughflow under G-jitter

Abstract

In the present article, we study the combined effect of variable viscosity and throughflow in an
anisotropic porous media under gravity modulation by reducing the model equations into
Ginzgburg-Landau equation. A weakly 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. An increment in the amplitude (frequency) of
gravity modulation enhances (diminishes) the heat transport. The behavior of Vadasz number,
anisotropic parameters, and Peclet number are also studied.