The linear model of cascades of sorption apparatus during extraction of mixture of substances

Mathematical model of cascades of consecutive-joint sorption apparatus under periodic counterflow operation during extraction of mixture of substances has been suggested. This model is based on the equations of non-equilibrium (disbalanced) dynamics of sorption and linear sorption isotherm. Mutual influence of components of mixture is taken into account by means of mass transfer kinetic cross coefficients. The analytic solution of mathematical model as convergent of power series has been obtatined for constant input concentrations of substances in flow In particular, this result can be used for the solution of direct and inversion dynamic multi-component mixture sorption problems.