This study examines the effects of imperfect mixing on the ease of control
in continuous crystallization processes. A compartment model was employed t
o describe imperfect mixing in a crystallizer vessel, and size-dependent cl
assification functions were introduced to describe the internal classificat
ion of crystals. The size-dependent classification functions were built by
performing intensive CFD (computational fluid dynamics) calculations. The n
ucleation rate equation used in the perfect mixing model was extended to al
low the domination of nucleation by crystal-impeller collision to be consid
ered. The index of ease of control was used to evaluate how easily a crysta
llizer can be controlled.
This index indicates the strength of control action relative to that of the
physical feedback effects which cause oscillation. In this work, the idea
of ease of control was extended so that the ease of control could be evalua
ted based on the compartment model.
It was shown that the imperfect mixing and the internal classification stro
ngly influence the operating conditions under which a crystallizer can be c
ontrolled easily. The internal classification also strongly affects the spa
tial distribution of supersaturation in the crystallizer vessel.