Teorells Electrokinetic Model

v is the liquid flow rate, p is the voltage on the membrane, and a and y are constants (for more detail see Reference (11)). If u is constant, a constant electrolyte concentration profile becomes established within the membrane  

Ci and C2 are electrolyte concentrations on opposite sides of the membrane, S is the membrane thickness, y is the transverse coordinate, and D is the electrolyte diffusivity. From this it follows that under steady conditions the electric resistance R of the membrane depends on the liquid flow rate  

The case of predominantly convective electrolyte transfer through the membrane has been considered, in which we have for R  

The combination of Eqs. (25) and (24) may be solved in the analytical form if /o is close to where the critical current was defined as 

For the 2 - 1 transition wave, which is possible when Jq i, the answer may be obtained from Eq. (28) by transposing the subscripts 1 and 2 and taking into account the identity 

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