MATHEMATICAL MODELLING OF THE PROCESS OF WATER PURIFICATION FROM IMPURITIES IN MULTILAYER FILTER WITH POROUS LOAD

A mathematical model to predict the process of water purification from impurities in multilayer filter with piecewise-homogeneous porous load, each layer of which has different coefficients of the filter, active porosity and diffusion, subject to constant rate filtration, is proposed. The algorithm for numerically-asymptotic approximation of solution of the model problem for a filter that has the shape of a curvilinear parallelepiped, bounded two equipotential surfaces and four surfaces flow, separated by some given specified of the equipotential surfaces on several subdomains, is developed. The results of numerical calculations and conducted their analysis.