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. 2018 Mar 25;10(4):366. doi: 10.3390/polym10040366
Latin
C0, C0+, C0 electrolyte and ion concentrations
D diffusion coefficient of the electrolyte molecule in dilute solution
Dmi diffusion coefficients of the electrolyte molecule inside i-layer
F Faraday constant
hi thickness of i-layer
h = h1 + h2 thickness of the membrane
H = h2/h1 ratio of membrane layer thicknesses
I, i dimension and dimensionless current density
Ilims,w and ilims,w=Ilims,w(h1+h2)C0FD dimension and dimensionless values of the limiting current densities
jm transmembrane flux density of electrolyte
P coefficient of the integral diffusion permeability
R universal gas constant
T absolute temperature
U, u dimension and dimensionless voltage
Greek
δ thickness of diffusion layers adjacent to both membrane surfaces
Δ = δ/(h1 + h2) dimensionless thickness of diffusion layers
ΔU voltage difference
ΔI current density difference
γmi, γmi± equilibrium distribution coefficients of the electrolyte molecule and individual ions inside membrane i-layer
ν¯m1,m2=Dγm1,m2Dm1,m2 dimensionless physicochemical parameters
ρi, σi dimension and dimensionless i-layer exchange capacity
σ¯i=σiγmi effective dimensionless i-layer exchange capacity
ξ¯ dimensionless normalized sum of ions concentration on the right side of the interface between two membrane layers
Superscripts
s, w related to a membrane oriented by modified layer to solution and water, respectively
Subscripts
i related to membrane layer number i
m related to a membrane
s, w related to a membrane oriented by modified (1-st) layer to solution (anode) and water (cathode), respectively
lim related to the limiting current regime
ohm related to the ohmic part of CVC
overlim related to the overlimiting current regime