MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS

Main Article Content

DOI

Andrii Safonyk

safonik@ukr.net

http://orcid.org/0000-0002-5020-9051
Ihor Prysiazhniuk

igorpri79@gmail.com

http://orcid.org/0000-0003-4531-1788
Olena Prysiazhniuk

lenapris@ukr.net

http://orcid.org/0000-0003-0003-3518
Oleksandr Naumchuk

alexnu@ukr.net

http://orcid.org/0000-0003-2483-4141

Abstract

Mathematical model of the process of water softening using ion exchange pre-treatment of waters to desalination, with a view to removal of scale forming components, such as calcium and magnesium, are formed in the paper. In this process, no additional chemicals, except for brines formed during desalination, are required for regeneration of ion-exchanger in operation cycles. An asymptotic approximation of a solution of a corresponding model problem is constructed. Theoretical description and modelling assumptions included the set of differential equations of mass balance, initial, boundary and operational conditions. The paper deals with the development of a computer model for description and prediction of the performance of ion exchange columns.

Keywords:

mathematical modelling, ion exchange, adsorption

References

Article Details

Safonyk, A., Prysiazhniuk, I., Prysiazhniuk, O., & Naumchuk, O. (2019). MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 9(1), 37–40. https://doi.org/10.5604/01.3001.0013.0901