PREDICTION OF CHANGES IN THE CHARACTERISTICS OF FILTER MATERIALS IN RAPID CONE-SHAPED WATER-PURIFYING FILTERS

A spatial mathematical model to predict the process of water purification from multicomponent impurities in rapid cone-shaped filters with homogeneous porous loads, taking into account the study of the change in the coefficients of filtration and active porosity along the filter height is developed. An algorithm for numerically asymptotic approximation of the solution of a corresponding nonlinear singularly perturbed boundary value problem for a spatial cone-shaped area, bounded by two equipotential surfaces and a surface of the flow, is obtained. The proposed model for a given constant rate of filtration allows computer experiments to predict changes in the characteristics of filter materials, to determine the optimal variants of their use and to increase the duration of the operation of cone-shaped filters by choosing their shape.