Ms. Hall et al., REVERSE-OSMOSIS OF MULTICOMPONENT ELECTROLYTE-SOLUTIONS .1. THEORETICAL DEVELOPMENT, Journal of membrane science, 128(1), 1997, pp. 23-37
A model is developed to treat reverse osmotic separations of electroly
te solutions. Transport in the model is based on the Extended Nernst-P
lanck equation, which includes diffusion, convection, and electromigra
tion. Boundary conditions include a distribution coefficient that is d
ue to a specific interaction potential representing repulsion of ions
from the membrane material. Boundary conditions also include potential
jumps known as Donnan Potentials. The model incorporates a mechanism
for varying-membrane-fixed-charge as a function of ion concentrations
and pH inside the membrane. In addition to salt ions, hydrogen and hyd
roxide ions are also considered, as pH changes indicate they take part
in the transport. A high Peclet approximation is developed which simp
lifies calculations.