An Approximate Solution of Fingero-Imbibition Phenomenon under Magnetic Field Effects

This paper represents an approximate solution of the fingero-imbibition phenomenon under magnetic field effects. The fingero-Imbibition phenomenon arising in two immiscible phases (water with magnetic particles and oil) flow through homogeneous porous media with the effect of variable magnetic field in a vertical downward direction which may arise during the secondary oil recovery process on account of the simultaneous occurrence of two important phenomenon viz, Instability (fingering) and Imbibition. The effect of the variable magnetic field is chosen in such an imbibition. The effect of the variable magnetic field is chosen in such a way that it increases the velocity of the injected conductive fluid. The Mathematical formulation leads to the non-linear partial differential equation. An approximate solution is obtained by using the finite difference Schmidt method and appropriate initial and boundary conditions. The solution of the problem is shown in tables with graphs by using MATLAB.