MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS
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 desal...
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| Format: | Article |
| Language: | English |
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Lublin University of Technology
2019-03-01
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| Series: | Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska |
| Subjects: | |
| Online Access: | https://ph.pollub.pl/index.php/iapgos/article/view/779 |
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| author | Andrii Safonyk Ihor Prysiazhniuk Olena Prysiazhniuk Oleksandr Naumchuk |
| author_facet | Andrii Safonyk Ihor Prysiazhniuk Olena Prysiazhniuk Oleksandr Naumchuk |
| author_sort | Andrii Safonyk |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T03:04:50Z |
| format | Article |
| id | doaj.art-4af1c57642ff49ea8ebf0230e799b750 |
| institution | Directory Open Access Journal |
| issn | 2083-0157 2391-6761 |
| language | English |
| last_indexed | 2024-12-11T03:04:50Z |
| publishDate | 2019-03-01 |
| publisher | Lublin University of Technology |
| record_format | Article |
| series | Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska |
| spelling | doaj.art-4af1c57642ff49ea8ebf0230e799b7502022-12-22T01:22:58ZengLublin University of TechnologyInformatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska2083-01572391-67612019-03-019110.5604/01.3001.0013.0901MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERSAndrii Safonyk0Ihor Prysiazhniuk1Olena Prysiazhniuk2Oleksandr Naumchuk3National University of Water and Environmental Engineering, Department of Automation, Electrical Engineering and Computer-Integrated TechnologiesRivne State University of Humanities, Department of MathematicsNational University of Water and Environmental Engineering, Department of Automation, Electrical Engineering and Computer-Integrated TechnologiesNational University of Water and Environmental Engineering, Department of Automation, Electrical Engineering and Computer-Integrated TechnologiesMathematical 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.https://ph.pollub.pl/index.php/iapgos/article/view/779mathematical modellingion exchangeadsorption |
| spellingShingle | Andrii Safonyk Ihor Prysiazhniuk Olena Prysiazhniuk Oleksandr Naumchuk MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska mathematical modelling ion exchange adsorption |
| title | MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS |
| title_full | MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS |
| title_fullStr | MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS |
| title_full_unstemmed | MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS |
| title_short | MATHEMATICAL MODELING SINGULARLY PERTURBED PROCESSES OF WATER SOFTENING ON SODIUM-CATIONITE FILTERS |
| title_sort | mathematical modeling singularly perturbed processes of water softening on sodium cationite filters |
| topic | mathematical modelling ion exchange adsorption |
| url | https://ph.pollub.pl/index.php/iapgos/article/view/779 |
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