In this study, Finite Difference Method is used to examine oxygen transport from blood capillary to tissue. Tissue is modelled as porous media and oxygen rich blood is transported throughout the tissue from the blood vessel by advection and diffusion. Uniform consumption by tissue is considered for simplicity. Steady state flow patterns and concentration contours are discussed. A simplistic 2-D model was created after reviewing the literature. The model considers interlinkage of capillaries. Stream Function-Vorticity formulation coupled with advection-diffusion equation are solved simultaneously to evaluate velocities and concentration values in the domain. This report focuses on the how various parameters affect flow and mass transfer inside a porous media. Effect of various non dimensional parameters like Darcy number and non-dimensional absorption coefficient are discussed.