1995
DOI: 10.1021/j100010a058
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Biionic Potential of Charged Membranes: Effects of the Diffusion Boundary Layers

Abstract: The biionic potential of charged membranes has been studied theoretically. A closed, analytical solution to the Nernst-Planck equations describing the multiionic transport through the charged membrane and the diffusion boundary layers has been obtained. Several limiting expressions, corresponding to negligible diffusion boundary layer effects, low bathing solution concentration, and low fixed charge concentration, have been discussed, and the experimental conditions which ensure their validity have been analyz… Show more

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Cited by 33 publications
(24 citation statements)
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“…The NaCl concentration in the left compartment, cL, was taken as the reference concentration and kept constant during each experimental series, and different values for the ratio cRIcL were considered. Since other experimental data in the ion-exchange literature show that the effects of stirring are more noticeable in this region [54], the disagreement between theory and experiment can be due to the existence of hydrodynamic diffusion bound- ion-exchange membranes [54,[85][86][87], and taking for the ion diffusion coefficients in the DBLs their respective values at infinite dilution, a good agreement between theory and experiment is achieved (see Fig. The solutions were stirred vigorously by means of magnetic stirrers.…”
Section: Membrane Potentialmentioning
confidence: 99%
“…The NaCl concentration in the left compartment, cL, was taken as the reference concentration and kept constant during each experimental series, and different values for the ratio cRIcL were considered. Since other experimental data in the ion-exchange literature show that the effects of stirring are more noticeable in this region [54], the disagreement between theory and experiment can be due to the existence of hydrodynamic diffusion bound- ion-exchange membranes [54,[85][86][87], and taking for the ion diffusion coefficients in the DBLs their respective values at infinite dilution, a good agreement between theory and experiment is achieved (see Fig. The solutions were stirred vigorously by means of magnetic stirrers.…”
Section: Membrane Potentialmentioning
confidence: 99%
“…Donnan dialysis is an ion-exchange membrane process that can be used for the purification and concentration of diluted solutions [1][2][3][4][5][6][7][8][9] and is generally applied in analytical fields where the preconcentration of various cations and anions is performed. The process was often studied by means of cation exchange with the H + ion as the *Corresponding author.…”
Section: Introductionmentioning
confidence: 99%
“…We found in such cases that (D ± · C · d/ D M ± C M · δ) is proportional to water content of the membrane. It is the fact that the water state in the membrane phase may differ from that in the solution phase [21]. Diffusion coefficients in the membrane phase may be affected due to ion hydration.…”
Section: Equations (23) Andmentioning
confidence: 99%