This study examined the nucleation and growth behaviors of potassium alum crystals in a well-mixed continuous crystallizer. Crystal growth rates are size dependent and surface integration controlled.The higher temperatures enhance the growth rate but depress the nucleation rate. The interface supersaturation, which is identical with the overall supersaturation in this study, decreases as the temperature is increased under the constraints of constant retention time and magma density. The predicted kinetic behaviors influenced by temperature were found to be in agreement with those i f experimental results.

The introduction of mobile carrier species which react reversibly with the solute species in liquid membrane mass transfer separation devices can give enhanced mass transfer rate. For one-dimensional laminar boundary layer flow of a Newtonian fluid past a single-membrane separator with equilibrium facilitated transport inside the membrane, the mass transfer rate in the separator was analyzed numerically. For a Damköhler number equal to infinity, the effect of maximum facilitation factor, dimensionless equilibrium constant, dimensionless velocity and similarity transformation parameter on the performance of separators was investigated. The dependence of the membrane-fluid interfacial concentration and equilibrium facilitation factor on dimensionless velocity and similarity transformation parameter was discussed.