Effects of linear and nonlinear gravity variance on penetrative nanofluid convective motion in an anisotropic porous matrix

Abstract Linear stability analysis was applied to the onset of penetrative convective motion under the changeable gravity field in an asymmetric arrangement of porous bed saturated by a nanofluid. It also integrates, along with thermophoresis, the influence of Brownian motion, and using the Galerkin processes, the eigenvalue problem is solved. Four different kinds of linear and nonlinear gravity force variation functions are considered. The expression of the eigenvalue number has been derived, and the effects of changeable linear and nonlinear gravity, heat source parameter, and parameters arises from the asymmetric arrangement of a porous bed on the Rayleigh number have been presented graphically.