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Лебедев, К. А.; Nikonenko, Victor; Заболоцкий, В. И.; Métayer, M. Le; Ковалев, И. В.

doi:10.1023/a:1016380213211

Cited by 4 publications

(7 citation statements)

References 11 publications

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“…On the basis of some previous works [34][35][36][37][38][39] dealing with the description of steady and non-steady-state effects occurring during transport through membranes, some basic assumptions have been made to facilitate the solution of the problem.…”

Section: Theoreticalmentioning

confidence: 99%

“…In a multilayer system, the contribution of each layer, more precisely, of each O-element is related to this function, the argument of which,˛, is a function of the thickness of this layer (ı) and of the current transfer species diffusion coefficient (D) there [48][49][50][51][52][53][54][55], see Eq. (34). The specificity of a membrane system is that the impedance contribution of each layer depends not only on ı and D, but on the DC density flowing through the membrane.…”

Section: Impedance Calculation and Fittingmentioning

confidence: 99%

See 1 more Smart Citation

Low-frequency impedance of an ion-exchange membrane system

Sistat

Kozmai

Pismenskaya

et al. 2008

Electrochimica Acta

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Section: Theoreticalmentioning

confidence: 99%

Section: Impedance Calculation and Fittingmentioning

confidence: 99%

Low-frequency impedance of an ion-exchange membrane system

Sistat

Kozmai

Pismenskaya

et al. 2008

Electrochimica Acta

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“…The transport numbers of water dissociation products across anion exchange membranes were taken to be equal to the experimental transport numbers at cor responding pH and current densities [1]. Given the Т ОН , the transport numbers of other counterions across the anion exchange membrane were calculated using the theoretical approach suggested in [12]. Fol lowing [12] and using the assumption about the ideal selectivity of an ion exchange membrane, we record the equation for the limiting current:…”

Section: Mathematical Model Of Sodium Chloride and Bicarbonatementioning

confidence: 99%

“…Given the Т ОН , the transport numbers of other counterions across the anion exchange membrane were calculated using the theoretical approach suggested in [12]. Fol lowing [12] and using the assumption about the ideal selectivity of an ion exchange membrane, we record the equation for the limiting current:…”

Section: Mathematical Model Of Sodium Chloride and Bicarbonatementioning

confidence: 99%

Study of pH correction process of chloride-bicarbonate dilute solutions by electrodialysis with bipolar membranes

et al. 2012

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The pH of a dilute chloride-hydrocarbonate solution and the concentrations of chloride ions and carbonic acid anions at the outlet of the alkaline and acid chambers of the electrodialysis cell formed by bipo lar and anion exchange membranes were determined. The decrease in the concentration of hydrocarbonate ions in the alkaline chamber with growth of current density was not equal to its increase in the acid chamber. This disbalance was caused by two concurrent processes: the electromigration ion transport through the anion exchange membrane and the chemical reactions of hydrocarbonate ions with the water dissociation products formed on the bipolar and anion exchange membranes. A mathematical model was suggested to describe the electrodialysis correction of the pH of a dilute chloride-hydrocarbonate solution. The experi mental data on the correction of pH of the chloride-hydrocarbonate solution were well approximated by both the model that takes into account water dissociation on the anion exchange membrane and the simpli fied model that neglects water dissociation. The experimental data agreed well with the results of calculations by the model in which the effective anion transport numbers were calculated only from ion concentrations and diffusion coefficients in solution. This reflects the outer diffusion character of the kinetics of ion transport through the anion exchange membrane, with pH of dilute solutions corrected by electrodialysis.

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“…A study of two ion systems revealed that, unfortunately, the available works on simultaneous transport of several types of ions in ionites employ an erroneous assumption that the diffusion coefficients characterizing the ion mobility are constant, which is valid only for homogeneous systems. This assessment has to do both with theoretical studies [4,5] and with application-oriented research [6]. Actually, the mobility of each ion in the membrane material depends on the composition of equilibrium (virtual) solution.…”

Section: Introductionmentioning

confidence: 99%

Simulation of concurrent transport of counterions through a heterogeneous ion-exchange membrane

Gnusin

2005

Russ J Electrochem

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Numerical solutions of the problem of concurrent transport of two counterions in an ion-exchange membrane are presented and discussed with allowance made for the membrane's heterogeneous structure. Densities of fluxes of co-ions and competing counterions are computed as a function of the current density and boundary concentrations on either side of the membrane. The obtain result is viewed as the initial product for solving multilayered problems containing membranes of other nature and diffusion layers surrounding the membrane.

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Untitled

Cited by 4 publications

References 11 publications

Low-frequency impedance of an ion-exchange membrane system

Low-frequency impedance of an ion-exchange membrane system

Study of pH correction process of chloride-bicarbonate dilute solutions by electrodialysis with bipolar membranes

Simulation of concurrent transport of counterions through a heterogeneous ion-exchange membrane

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