Non-Steady-State Convective Diffusion in a One-Dimensional Closed Loop

Abstract

Non-steady-state convective diffusion in a closed loop with a constant cross section and in a circuit containing a section with a different cross section and a piston flow regime of the circulating flow has been analyzed. The simple analytical dependences that describe the tracer concentration in an inlet cross section from the first recirculation cycle to an arbitrary nth cycle have been obtained. The analytical dependences for simulating chromatographic separation in a closed liquid–liquid loop have been obtained. It has been shown that, unlike conventional chromatographic methods, in recirculation chromatography, the efficiency of the separation can be improved by lengthening the connecting lines.