Mathematical modelling of mass transfer processes under water ultrafiltration

Contamination of surface sources of water supply with organic substances leads to the need to find new technologies and solutions in the field of water purification. For purification of water from fresh sources of water supply polluted with organic substances, ultrafiltration is mostly preferred. Ultrafiltration reliably reduces the concentration of organic pollutants and prevents the penetration of microbiological contaminants into the purified water at the physical level. One of the main issues arising in the selection of devices is the determination of the active area of the membrane to provide the required amount of purified water. This parameter is selected from the condition of contamination of the membrane surface and changes in its permeability. Purpose. Scientific substantiation and development of a mathematical model of dirt-holding capacity of a hollow fiber module for predicting natural water treatment processes. Results. Studies on the reflectivity and dirt-holding capacity of hollow fiber membrane modules are presented. In the process of research, a mathematical model was proposed, which allows to calculate the performance characteristics of membrane units. Scientific novelty. A scientific substantiation is given and a mathematical model of the dirt-holding capacity of a hollow fiber ultrafiltration module has been developed to predict natural water purification processes. Using the model, you can determine the duration of filter cycle, and accordingly calculate the cost of 1 m3 of purified water.Practical relevance. The results of the research can be used as the basis for an application program for calculations in the design and operation of facilities for the preparation of water of different quality.