Mathematical modeling and analysis of Fingero-Imbibition phenomenon in vertical downward cylindrical homogeneous porous matrix

This paper focuses on the compound phenomenon of Instability and Imbibition called Fingero-Imbibition phenomenon arising in two immiscible phase (oil and water) flow through homogeneous porous media in vertical downward direction. Mathematical formulation leads to non linear partial differential equation. The analytical solution is obtained by using generalised separable method in terms of quadratic polynomial by using appropriate boundary conditions and its physical interpretation is given with numerical tabulated values and graphical presentation.