Mathematical model of mass transfer processes of pervaporation water purification

Abstract

Object. Theoretical studies of pervaporation separation of water -organic mixture by mathematical modeling of process. Design. Methodology. Approach. The current state of the problem, namely the existing mathematical model of membrane processes had been analyzed. After analysis of features of pervaporation purification process the mathematical model was formulated. The mathematical model describes the pervaporation of organic liquid component through the non-porous membrane in a circular cross section channel. Initial and boundary conditions for this mathematical model had been recorded. Without these conditions the solution is impossible Conclusions. Solution of the equations of mathematical model with the initial and boundary conditions allows to determine the concentration distribution of liquid flow which passes the membrane, and also though the membrane thickness depending on the size of the membrane, the modes of motion of initial and gas-vapor mixture, the concentration of organic impurities in initial and gasvapor mixture. A mathematical model allows to finding a mode of operating of unit at which completely realized possibilities of membranes and minimized the cost of liquid heating and condensate cooling. In further the research of experimental studies of pervaporation process are planned to continue, to confirm the results obtained by mathematical modeling.