A comprehensive mathematical model was developed to predict separation of organic mixtures using dense polymeric membranes. The organic mixture considered in this study was toluene and n-heptane mixture. The separation process was pervaporation (PV) which utilizes a dense membrane for separation. Conservation equations including continuity and energy transfers were solved numerically. Computational fluid dynamics (CFD) technique was used to solve the model equations. The toluene mole fraction and temperature profile were determined. The simulation results confirmed that the developed model can provide a general simulation for separation of organic mixtures using pervaporation.