The present book contains a comparison of existing theoretical models
developed in order to describe membrane separation processes. In
general, the permeation equations resulting from these models give
inaccurate predictions of the mutual effects of the permeants involved,
due to the simplifications adopted in their derivation. It is concluded
that an optimum description of transport phenomena in tight
(diffusion-type) membranes is achieved with the "solution-diffusion"
model. According to this model each component of a fluid mixture to be
separated dissolves in the membrane and passes through by diffusion in
response to its gradient in the chemical potential. A modified
Flory-Huggins equation has been derived to calculate the solubility of
the permeants in the membrane material. Contrary to the original
Flory-Huggins equation, the modified equation accounts for the large
effect on solubility of crystallinity and elastic strain of the polymer
chains by swelling. The equilibrium sorption of liquids computed with
this equation was found to be in good agreement with experimental
results. Also, the sorption of gases in both rubbery and glassy polymers
could be described quan- titatively with the modified Flory-Huggins
equation without any need of the arbitrary Langmuir term, as required in
the conventional "dual-mode" sorption model. Furthermore, fewer
parameters are required than with the at least identical accuracy.