Direct and inverse problems to study the process of ion solutions ltering in porous medium

Abstract

Solution of actual problem associated with technological process of ltering and dehydrating liquid solutions from ne-dispersed particles is discussed in the paper. Technological process is carried out in the dehydration and puri cation of chemical solutions, drinking water, pharmaceuticals, liquid fuels, products for public use, etc. A mathematical model has been developed to study the process, to determine the basic parameters of the object and the operating modes of the ltering aggregates to make management decisions; this model may take into account di erent operating modes of the ltering aggregate and physical-chemical properties of solutions. In the paper it is noted that when investigating the ltering process, it is rather di cult to determine the main parameters of the object under consideration and their ranges of changes to control the operating objects. Collecting data takes a lot of time; to conduct a series of experiments in laboratory conditions takes a lot of labor power and time; it is di cult to nd the relationship between the parameters of the lter and technological process based on a limited experimental sampling. Urgent problems of determining the basic parameters and their ranges of changes leading to a decrease in the loss of valuable raw materials, an increase in lters performance, an improvement in the quality of the resulting product, etc. are solved in the paper. Based on the analysis of the conducted numerical experiments, conclusions are drawn that serve as the basis for making appropriate management decisions.