S. Basu et Mm. Sharma, AN IMPROVED SPACE-CHARGE MODEL FOR FLOW-THROUGH CHARGED MICROPOROUS MEMBRANES, Journal of membrane science, 124(1), 1997, pp. 77-91
The Space-Charge model is modified to better analyze the steady-state
electrohydrodynamic behavior of aqueous monovalent electrolytes in cha
rged microporous membranes. The effects of changes in solvent dielectr
ic constant near the wall, ion hydration effects, finite ion sizes, an
d charge regulating surface effects, are incorporated into the governi
ng electrohydrodynamic equations (i.e., Navier-Stokes (NSE), Nernst-Pl
anck (NPE), and Poisson-Boltzmann (PBE) equations). Their effect on st
reaming potential, pore conductivity, excess conductivity, and maximum
energy conversion efficiency for electro-osmosis is illustrated. It i
s shown that the dielectric saturation and ion hydration effects cause
significant changes in the electric potential field and ion concentra
tion inside the capillary tubes. Quantitative comparisons of model res
ults with measured electrokinetic data reveal better agreement when co
mpared with the existing model.