Nanofluid gravity-driven oscillatory mode of convection in a porous medium

The theory of the complex matrix differential operator and finite amplitude analysis are used to investigate nonlinear nanofluid convection in a porous medium saturated under gravity modulation. The finite amplitude of convection for the g-jitter is derived while applying the solvability condition of the third order. To calculate the heat and mass transfer through the porous medium, the low-amplitude analysis is performed. The Nusselt numbers are calculated at the second order as a function of the finite amplitude to evaluate the heat and mass transfer. It is found that changing the gravitational field can affect the amount of heat and mass transfer effectively. It is also found that the oscillatory mode is preferable for better heat and mass transport results than the stationary mode.