Geometric methods for the conceptual design of nonideal and azeotropic
distillation systems have focused primarily on three-and four-compone
nt mixtures. A generalization of geometric methods that does not rely
on visualization and gives a completely equation-based approach to det
ermine the structure of distillation regions for homogeneous mixtures
is described. This method is useful for mixtures with a large number o
f components, provided a vapor-liquid equilibrium model is available T
he approach is applied to assess feasibility and alternative separatio
ns in several examples, including a five-component mixture with nine a
zeotropes and a six-component mixture with seven azeotropes. These met
hods can be used to rapidly generate process alternatives, and the exa
mples demonstrate that there can be a surprising number of these alter
natives for the distillation of azeotropic mixtures.