The effect of the pH on electrolyte transport through microporous membranes bearing either weakly or strongly dissociating acid groups. A theoretical analysis using the space-charge model for a cylindrical capillary

Multicomponent space‐charge transport model for ion‐exchange membranes

“…This modeling approach was first proposed by Ž Osterle and coworkers nearly thirty years ago Gross and Os-. terle, 1968;Fair and Osterle, 1971 and has since been used to describe electrokinetic effects in charged capillaries and ion-exchange membranes for single salts or saltracid mixtures Žsee, for example, Sasidhar and Ruckenstein, 1982;Westermann-Clark and Anderson, 1983;Cwirko and Carbonell, 1989;Hijnen and Smit, 1995;Schmid, 1998;Kemery et al, . 1998 .…”

On the origin of membrane potential in membranes with polarizable nanopores

“…Using the SC model, a map relating the pore radius and volume charge density with the membrane potential was constructed. The effect of solution pH on membrane potential was investigated theoretically by the corresponding extension of SC model [21].…”

“…The potential difference between reservoirs ∆ϕ = φ v (c R ) is determined from (34), while the virtual variables are found by integration of (27)-(30).For a polarizable conductive pore with constant total surface charge density σ s , an initial guess for the surface potential ϕ s is set. Here problem(21),(22),(24) is solved for each c vk at fixed ϕ s and j. Note that φ…”