Open AccessMATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS
Author(s) -
Andrii Safonyk,
Ihor Prysіazhnіuk,
Olena Prysiazhniuk,
Oleksandr Naumchuk
Publication year - 2019
Publication title -
informatyka, automatyka, pomiary w gospodarce i ochronie środowiska
Language(s) - English
Resource type - Journals
eISSN - 2391-6761
pISSN - 2083-0157
DOI - 10.5604/01.3001.0013.0901
Subject(s) - desalination , water softening , ion exchange , softening , process (computing) , boundary value problem , magnesium , mass transfer , mathematical model , mechanics , chemistry , process engineering , biological system , ion , materials science , computer science , mathematics , engineering , chromatography , mathematical analysis , physics , membrane , organic chemistry , composite material , operating system , statistics , biology , biochemistry
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.