Постановка нестаціонарної задачі фільтрування рідини у деформованому пористому середовищі

Abstract

The regularities of the process of filtration of technological liquids through porous materials are investigated. At finishing operations of metalworking application of lubricating and cooling liquids are acquired. During operation, liquids are continuously and intensively contaminated with solid metal particles. To restore the original properties of process fluids are cleaned of mechanical impurities. The most widely used methods of purification of process fluids are by filtration. The use of filtration for the purification of process liquids is the most effective, because when filtering through a layer of porous materials, it is possible to achieve complete removal of solid particles from liquids. However, the peculiarities of the structure of the pores cause a number of specific phenomena that occur during the movement of liquids in the channels of the porous medium.The purpose of the research is to study and establish the pattern of the process of filtering process fluids through porous materials. When filtering process fluids through a layer of porous materials, the porous medium of the filter partition increases with the change of its porosity. The change in porosity occurs by reducing the pore volume of the porous space, because the solid particles together with the liquid penetrate into the pores of the channels of the porous space and hang up in them. The conducted researches allowed exposing and studying regularities of process of filtering and establishing the law of change of porosity of the porous environment. On the basis of the established regularities the differential equation is derived, which allows us to formulate the statement of the problem of liquid filtration through a layer of solid particles of the deformed porous medium of the filter partition under the given initial and boundary conditions.