Solving of Nonlinear Differential Equations in the Modeling of Membrane processes by Computational Fluid Dynamics

A successful model in the membrane separation processes is Modified Surface Force-Pore Flow (MD-SF-PF) model. This model involves some nonlinear parameters. An efficient numerical method is required to solve the nonlinear equations of the model. In this research an efficient numerical technique, namely Computational Fluid Dynamics (CFD) is used to analyze this model. This technique which is based on fluid mechanics uses numerical algorithms to solve and analyze problems that involve fluid flows. The CFD which is a much faster and more precise technique shows accurate results than the formerly method of "Orthogonal Collocation". The determined profiles of velocity and concentration, value of separation and flux shows that this model is a very precise and accurate one to predict the performance of a reverse osmosis membrane.