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The relationship between friction coefficients and hydration numbers of permeating solutes through membranes is presented in the framework of generalised Spiegler–Kedem–Katchalsky frictional model equations (SKK model). The membrane system contained multicomponent, non-ionic and homogeneous hydrated solutions. In the framework of this model the expressions linking the permeability parameters of the membrane (Lp, F, Tik) with the friction coefficients (fik) for n-component non-ionic hydrated solutions were presented. The matrix of transformation from phenomenological onto frictional coefficients was worked out. Moreover, the method of calculation of the frictional and phenomenological coefficients change with the hydration number of solutes for binary and ternary non-ionic solutions was also presented. The friction coefficients and their dependencies on hydration number of glucose for aqueous glucose solution (binary solution) and glucose solution in aqueous ethanol solution (ternary solution), permeating through flat polymer membranes are also presented.

1. The hydraulic permeability coefficient Lp, the reflection coefficient for glucose F1 and the diffusion permeability coefficients T11 and T22 calculated on the basis of Eqs. (59)–(61) do not the basis of Eq. (43), strongly depends on the hydration numbers for both glucose and ethanol. The increase of the glucose and/or ethanol hydration number causes an increase of this coefficient value.