MATHEMATICAL MODELING OF THE PROCESS OF LIQUID MEDIAS MAGNETIC PURIFICATION FROM MULTICOMPONENT FERROMAGNETIC IMPURITIES

Abstract

A mathematical model that describes the patterns of magnetic deposition and impurity accumulation in a porous filter load with taking into account the inverse effects of process characteristics (sediment concentration) on the filtration parameters was developed. We proposed an algorithm for solving the corresponding nonlinear perturbed problem for determining the concentration distribution of impurities and sediment, as well as the time of the protective action of the filter loading τz, variable parameter gradP (x, t), in particular, the limit of pressure loss ∆P . The results of the calculations of the distribution of impurity concentration and mass volume of impurities by the height of the porous filtering loading for different time points, the magnitudes of the filter coefficient at different values of the loading length L, which corresponds to the time of the protective action of loading (filter cycle) are given. This model provides the possibility of automated control of the process of effective deposition of impurities in the magnetized filtering load, depending on the source data of the purified water environment. AMS Subject Classification: 65E05, 65M25, 65M32, 68U20, 65C20