About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | RenatA.Sadykov, doctor of technical sciences, professor Kazan State University of Architecture and Engineering, Kazan, Russian Federation Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Aida K.Mukhamezianova postgraduate student, Kazan State University of Architecture and Engineering, Kazan, Russian Federation Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Lyazzat R.Junussova, candidate of technical sciences, associate professor Almaty University of Power Engineering and Telecommunications, Almaty, Kazakhstan Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Aliya A.Elemanova, associate professor, Almaty University of Power Engineering and Telecommunications, Almaty, Kazakhstan Email: This e-mail address is being protected from spambots. You need JavaScript enabled to view it |
| Title of the article | Simulation of water desalination processes in a combined water treatment plant |
| Abstract. | The aim of the study is a physical and mathematical description of the transfer processes for desalting groundwater in a combined ultra- and nanofiltration water treatment plant used for water and heat supply systems. The objectives of the study are the following: correct formalization of the mathematical model of mass transfer processes in a combined water treatment plant; obtaining analytical closed solutions of boundary value problems of unsteady diffusion transfer for piecewise-homogeneous media under various conditions of uniqueness and unsteady, asymmetric boundary conditions on the contact surfaces of inhomogeneous media; and analysis of the obtained generalized analytical solution of boundary value problems of a mathematical model of a combined water treatment plant under various initial and boundary conditions. The main results of the study are that the authors formalized a mathematical model of the groundwater treatment process and a boundary value problem of a mathematical model of water desalination processes in a combined water treatment plant, and found analytical closed solutions to boundary value problems of unsteady molecular transfer for piecewise homogeneous media under various initial conditions of uniqueness and unsteady, asymmetric boundary conditions on the contact surfaces of two inhomogeneous media. The obtained analytical solutions of the formalized mathematical model make it possible to optimize the processes of water purification in heat power plants by finding the extreme values of the change in the concentration of suspended particles from independent variables. The analytical solutions can be test problems for more complex nonlinear boundary value problems of heat and mass transfer processes. For large-scale transitions, the developed mathematical model can be rewritten in dimensionless form, as a change in the relative concentration from the Fourier mass transfer criterion. In this work, analytically closed solutions of boundary value problems of unsteady diffusion transfer for piecewise homogeneous media are obtained under various conditions of uniqueness and unsteady boundary conditions on the contact surfaces of various homogeneous media, which are applied to the processes of water purification of heat supply systems. For large-scale transitions (from an experimental to an industrial installation), the formulation and solution of such boundary value problems can be written in a criterion form, as a change in the relative concentration from the Fourier mass transfer criterion. The significance of the obtained results lies in the fact that the obtained analytical solutions of boundary value problems make it possible to optimize the processes of water treatment in a combined water treatment plant and can become test boundary value problems in the numerical solution of more complex nonlinear boundary value problems of unconnected and interconnected heat and mass transfer. Optimal values of analytical solutions of boundary value problems tasks can be also used in the process control system when choosing energy-saving control modes. |
| Keywords. | drinking water, filtration, plant, mathematical model, boundary value problem, differential equation, conditions |
| For citations: | R.A. Sadykov, A.K. Mukhamezianova, L.R. Junussova, A.A. Elemanova Simulation of water desalination processes in a combined water treatment plant//News KSUAE 2022, №1 (59), С 80-89. DOI: 10.52409/20731523_2022_1_80 |
