IMPROVED ANALYTICAL PREDICTION OF FACILITATION FACTORS IN FACILITATED TRANSPORT

An improved analytical solution for the facilitation factor in facilitated transport that covers a wide range from diffusion-limited to reaction-limited mass transport has been developed. This solution is attained after assuming a small non-zero solute concentration at the membrane exit. Based on previous analysis a graph that provides a reasonable downstream solute concentration was extracted. The exit solute concentration was found to be dependent on both the mobility ratio, alpha, and the inverse Damkohler number, epsilon. The quick and reasonable results in this work can be used for design and scale-up purposes.