Identification of Mass Transfer Coefficients in the Liquid Extraction Model

The process of liquid extraction in a countercurrent column is considered, for the description of which a mathematical model of convective transport in the form of a system of partial differential equations of the first order is proposed. Within the framework of the proposed model, the task of identifying the mass transfer coefficients between phases according to additionally specified conditions with respect to the concentration of the extracted component on the upper and lower parts of the countercurrent column is set. The problem is discretized and presented as two independent difference problems of the first order. To solve the obtained difference problems, a special representation is proposed. As a result, explicit formulas are obtained for calculating approximate values of mass transfer coefficients between phases. Numerical experiments were carried out on the basis of the proposed method.