Abstract
Abstract A numerical model is presented which solves the transient nonlinear system of partial differential equations governing the facilitated transport of ionically charged species through a liquid membrane. The mathematical model is derived in dimensionless form and solved numerically. Facilitation factors and electrical potentials across the membrane are computed and compared to experimental results. This model is useful in predicting transient concentration, flux, and electrical potential gradients provided that the values of the required physical constants are known. It was noticed that transient facilitation factors are not affected by the transient electrical potential buildup, which indicates that both the pure diffusion and the faciltated transport of permeate are affected equally by the electrical effects of the ionically charged species.
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