Mathematical Model of Fingero-Imbibition Phenomenon in Double Phase Flow through Homogeneous Porous Media with Magnetic Field Effect

The present paper discusses the fingero-imbibition phenomenon of two immiscible phases through homogeneous porous media with magnetic field effect which occurs during secondary oil recovery process. The governing equation of this phenomenon is nonlinear partial differential equation of diffusion type. This equation has been solved by using Maclaurin's series and solution is obtained in term of power series with help of appropriate boundary conditions and some standard results. The graph shows that saturation of injected phase increases for different time T>0.