Окреслення граничних та фізичних умов математичної моделі масообмінну в апараті під час розділення водно-органічних сумішей

• Main Authors: Мельник, Вікторія, Косова, Віра, Бурсаков, Кирило
• Format: Article
• Language: Ukrainian
• Published: Kamianets-Podilskyi National Ivan Ohiienko University 2021
• Online Access: http://mcm-tech.kpnu.edu.ua/article/view/251083

The authors developed and improved a mathematical model that describes the mass transfer situation in the apparatus during the separation of water-organic mixtures and shows the pervaporation processes occurring from the process of desorption of components from the membrane element taking into account the mutual influences of process characteristics on environmental characteristics. The influence of external factors for temperature calculation is taken into account. A solution of the corresponding model problem was found using the equation of motion for a fluid in the middle of a membrane under conditions of laminar motion. The results of calculations of the distribution of the concentration of organic impurities in the mixture and the membrane material are presented. The dependence of the number of passes through the membrane on the initial concentration in the membrane was investigated. The possibility of determining the distribution of concentrations in the flow of liquid passing through the membrane, as well as the thickness of the membrane depending on the size of the membrane, modes of movement of the source and vapor-gas mixture, the concentration of organic impurities in the source and vapor-gas mixture. The constructed mathematical model takes into account the geometric and physical conditions that characterize, respectively, the shape and size of the area in which a particular transfer process and the physical properties of the environment and their change depending on the process parameters. The finite difference method is chosen to solve the convective diffusion equation in the liquid phase. Mathematical modeling clearly demonstrates the effect of factors, but, in turn, does not reduce the impact. Taking into account the initial conditions and boundary conditions will determine the distribution of concentrations in the fluid flow passing through the membrane, as well as the thickness of the membrane depending on the membrane size, modes of movement of the source and vapor-gas mixture, the concentration of organic impurities in the source and vapor-gas mixture. Mathematical modeling of heat and mass transfer inside the apparatus to determine the concentration field of the organic component and identify factors that affect the rate of separation of organic impurities.