MATHEMATICAL MODEL OF MEMBRANE DISTILLATION PROCESS

Authors

  • L. Ladieva Київський політехнічний інститут
  • S. Dovbnya Київський політехнічний інститут
  • R. Dubik ВАТ Укрнафтохімпроект

DOI:

https://doi.org/10.18372/2310-5461.34.11617

Keywords:

water treatment, membrane distillation, mathematical model of dynamics

Abstract

The presented mathematical model of the process of membrane distillation, in which water vapor passes through the membrane and condenses on the surface, is cooled from the outside. This allows you to get clean water. The membrane module is considered as an object with lumped parameters, which consists of heat reservoirs: a solution channel, a clean water channel, and a cooling water channel. A mathematical model of technological contact membrane distillation is considered, taking into account the influence of the hydrodynamic flow of solution and distillate, the dimensions and characteristics of the membrane temperature conditions, with a specific mass flow of vapor through the membrane, thermal polarization on the productivity of the process, and nonlinear diffusion of vapors through the membrane. Static and transient characteristics are obtained. As a control, the costs for the cooling liquid are selected. As a controlled parameter, the drop in temperature of the solution and the distillate is selected, which drives the process.

Author Biographies

L. Ladieva, Київський політехнічний інститут

канд. техн. наук, доцент, доцент кафедри автоматизації хімічних виробництв, інженерно-хімічного факультету Національного технічного університету України «Київський політехнічний інститут», м. Київ

S. Dovbnya, Київський політехнічний інститут

магістрант кафедри автоматизації хімічних виробництв, інженерно-хімічного факультету Національного технічного університету України «Київський політехнічний інститут», м. Київ

R. Dubik, ВАТ Укрнафтохімпроект

інженер 1-ої категорії

References

Bryk M.T. Membrane distillation / M.T. Bryk, R.R. Nigmatullin // Success of chemistry. - 1994. - №12 (63). - P. 1114 - 1129.

N. a Eckardt, E. Cominelli, M. Galbiati, C. Tonelli, The future of science: food and water for life, Plant Cell 21 (2) (Feb. 2009) 368–372.

M.M.a. Shirazi, A. Kargari, M.J.a. Shirazi, Direct contact membrane distillation for seawater desalination, Desalin. Water Treat. 49 (1–3) (Nov. 2012) 368–375.

I. Shiklomanov, World fresh water resources, in: Peter H. Gleick (Ed.), Water in Crisis: A Guide to the World's Fresh Water Resources, 1993.

Ugrozov V.V. Mathematical modeling of the process of contact membrane distillation in a flow module. / TBCT.-1994.-v.28. -No.4.-pp. 375-380.

Ladieva L.R. A mathematical model of the process contact membrane distillation. / L.R. Ladieva, O.A. Zhulynskyi // Automation of production processes. -2005.-№1 (20). - pp. 19-21.

Dubik R.M. Mathematical model of separation of heterogeneous liquid systems / R.M. Dubik, L.R. Ladieva // Automation. Electrotechnical complexes and systems. -2009. - №1 (23). - pp. 49-54.

Zhulynskyi А., Ladieva L., Burban A. An optimization of static operating modes of the installation of contact membrane distillation // Contemporary Engineering Sciences. – 2017. - volume 10. рр. 439-446. doi.org/10.12988/ces.2017.7332

Zhulynskyi А., Ladieva L. The mathematical description of process of the concentration of the solution by method of contact-membrane distillation based on temperature-polarization // The Advanced Science Journal. – 2014. - issue 7. pp. 49-52. doi.org/10.15550/asj.2014.07.049

Ladieva L.R., Onischenko V.O., Dubik R.M. Mathematical modeling of temperature distribution in the membrane module during membrane distillation // Journal Article published 29 May 2015 in Science-based technologies – 2015. - volume 25. - issue 1. doi.org/10.18372/2310-5461.25.8214

Issue

Section

Physics