An analytical solution to the idealized batch pervaporation experiment: A way to determine the diffusion and partition coefficients

The physicochemical basic laws and their suitable mathematical formulations form a frame of the batch pervaporation process, i.e. the cycled process of removing small traces of volatile impurities from large amounts of a volatile solvent, is described and analyzed in detail.The generic nature of the process, i.e. its exclusively transient behaviour is described as an IBV (initial boundary value) problem with a feed side boundary condition dependent on time. The long time asymptotics is investigated to determine the partition and diffusion coefficients of the trace.