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.
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