The application of the Kedem–Katchalsky equations to membrane transport of ethyl alcohol and glucose

In the following paper we present the mathematical description of the volume flow (Jv) of aqueous solution of ethyl alcohol and glucose transported through a membrane. We consider three cases of the transport: the flow generated by the hydrostatic pressure difference Δp, the osmotic pressure difference ΔΠ or by the simultaneous action of these two thermodynamical drives. The membrane transport is discussed within the frame of the Kedem–Katchalsky (K–K) equations, commonly used in the literature of this field.We present results obtained for the membrane filtration coefficient (Lp) in case of ethanol transport. This coefficient has been calculated based on the formula that accounts for the membrane properties, as well as the properties of the flowing liquid, namely the density and the viscosity of ethanol. The calculations of the volume flow (Jv) of the solution have been based on the original form of the K–K equations in the case when the solutions at both sides of the membrane are mechanically stirred.

► The following paper is devoted to an important and currently discussed problem of substance transport through membranes.
► The coefficient Lp, depends not only on properties of the membrane, but also on the properties of the flowing liquid.
► Our calculations for the volume flow Jv have been carried out according to the Kedem–Katchalsky equation.