Impact Factor:ISRA (India) = 1.344 ISI (Dubai, UAE) = 0.829 GIF (Australia) = 0.564 JIF = 1.500 SIS (USA) = 0.912 РИНЦ (Russia) = 0.207 ESJI (KZ) = 3.860 SJIF (Morocco) = 2.031 ICV (Poland) = 6.630 PIF (India) =
MATHEMATICAL MODEL AND NUMERICAL ALGORITHM FOR SOLVING THE PROBLEM OF ION EXCHANGE FILTERING OF LIQUIDS
Abstract: A detailed analytical review of scientific papers related to the process of modeling the nonstationary technological process of filtering ionic solutions from fine particles and ionic compounds is given in the paper. To study the technological process of filtering ionic solutions, depending on their physico-chemical properties and operating modes of the filtering unit, a mathematical model, a numerical algorithm and
The article deals with the solution of an actual problem related to the technological process of filtration and dewatering of liquid solutions from finely divided particles. Above mentioned technological process is realized during filtering and cleaning of chemical solutions, drinking water, pharmaceuticals, liquid fuel, public products, etc. For analysis, research, determination of the main parameters of the technological process, as well as modes of operation of filter units and support for management decision-making, a mathematical model has been developed, where it is possible to take into account the different operating conditions of the filter unit and the physicochemical properties of solutions. The article notes that the study of the process of filtering a suspension, determining the main parameters of the process under consideration and their ranges of change for the purpose of managing it at functioning objects makes it difficult to collect data on the process, it takes a lot of time to perform a series of experiments in the laboratory that take a lot of labor and time and It is difficult to find the relationship between the parameters of the filter and the technological process for a limited experimental sample. Taking into account the above, it can be said that the current task is to determine the main parameters and their ranges of change, leading to a decrease in the loss of valuable raw materials, increasing the productivity of the filters used, improving the quality of the output product, etc. when implementing the TPFS. Based on the analysis of the numerical experiments carried out, conclusions are formulated that serve as the basis for making appropriate managerial decisions.
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