In the current work, first of all, a general theoretical two-phase model was proposed to simulate the flow in the resin transfer molding RTM. This model has been widely used in geologic media and petroleums reservoirs and satisfied results have been given. The similarity between these medium and our composite domain either in heterogeneity or in fluid flow has motivated this choice. Based on multiphase darcy’s law, the model has been developed to simulate the saturation distribution for two compressible immiscible phases which are resin and the air, it may control the formation of the void in composite material. Then, a particular case of the model was simulated numerically which is well known as the buckely-levrett model. Using the first time the control volume-finite element CV/FEM method, the results of this study agree qualitatively with experimental and numerical findings.