S Mobeen Fatemi - Department of Petroleum and Chemical Engineering, Sharif University of Technology, Tehran
Mojtaba Rahimi - Department of Petroleum and Chemical Engineering, Sharif University of Technology, Tehran

The laws of conservation of mass, momentum and energy form basis of the field of transport phenomena. These laws applied to the flow of fluids results in the equation change of velocity, Temperature and concentration with respect to the time and position in the system. The dynamics of such systems, which have more than one independent variable, are modeled by partial differential equations. The most commonly encountered partial differential equations in chemical and petroleum engineering are of first and second order. In this work simulation of a system containing water and vapor, in a rectangular cell, initially at saturation condition in their own temperatures, (20 and 80°C respectively) up to steady state condition has been done. This paper summarizes our solution approach to the solution of 8 nonlinear coupled unsteady states PDE {in two phases} in original problem.

VLE, Partial Differential Equations, Nonlinear and Coupled PDE