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.