In this paper, the Kelvin-Helmholtz instability of viscous incompressible magnetic fluid fully
saturated porous media is achieved through the viscous potential theory. The flow is considered to
be through semi-permeable boundaries above and below the fluids through which the fluid may
either be blown in or sucked out, in a direction normal to the main streaming direction of the fluid
flow. An oblique magnetic field, mass, heat transfer, and surface tension are present across the
interface. Through the linear stability analysis, a general dispersion relation is derived and the
natural curves are plotted. Therefore, the linear stability condition is discussed in some depth. In
view of the multiple time scale technique, the Ginzburg–Landau equation, which describes the
behavior of the system in the nonlinear approach, is obtained. The effects of the orientation of
the magnetic fields on the stability configuration in linear, as well as nonlinear approaches, are
discussed. It is found that the Darcy’s coefficient for the porous layers plays a stabilizing role. The
injection of the fluids at both boundaries has a stabilizing effect, in contrast with the suction at both