Nonlinear Thermal Darcy Convection in a Nanofluid Saturated Porous Medium Under Gravity Modulation

In this paper, we study nonlinear convection in a porous medium saturated with nanofluid under gravity modulation, and calculate heat and mass transport across the porous medium. The non-uniform vertical vibrations of the system, which can be realized by oscillating the system vertically, are considered to vary sinusoidally with time. A nonlinear stability analysis has been performed to obtained the Nusselt number, which is found to be the function of thermal Rayleigh number, concentration Rayleigh number, Lewis number, modified diffusivity ratio, amplitude and frequency of modulation. The effects of various physical parameters have been investigated on heat and mass transfer. It is found that gravity modulation can be used effectively to regulate the stability of the system.