MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUS
This article is devoted to researching the adsorption of high-molecular compounds in a column-type apparatus, which allows for taking into account the specific properties of adsorbed substances and the design features of the equipment. The purpose of the study was to create a mathema...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Lviv Polytechnic National University
2024-09-01
|
| Series: | Environmental Problems |
| Subjects: | |
| Online Access: | https://science.lpnu.ua/ep/all-volumes-and-issues/volume-9-number-3-2024/mathematical-model-adsorption-high-molecular-weight |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850080991934152704 |
|---|---|
| author | Vira Sabadash Anna Nowik-Zając Oleh Konovalov |
| author_facet | Vira Sabadash Anna Nowik-Zając Oleh Konovalov |
| author_sort | Vira Sabadash |
| collection | DOAJ |
| description | This article is devoted to researching the adsorption of high-molecular compounds in a column-type apparatus, which allows for taking into account the specific properties of adsorbed substances and the design features of the equipment. The purpose of the study was to create a mathematical model that describes the process of adsorption of high-molecular compounds in a column-type apparatus, taking into account the specific properties of the adsorbed substances and the design features of the equipment. Equations that consider the kinetic aspects of adsorption and desorption are used to des-cribe the dynamics of the process. It was noted that the large size of molecules, their complex structure, and environmental conditions can significantly affect the efficiency of the adsorption process. The model considers phenomena such as diffusion in a porous medium, the influence of competition between different components of the mixture, and possible changes in the structure of adsorbed molecules. The obtained data made it possible to determine the optimal conditions for achieving maximum adsorption efficiency and assess the effect of changing the process parameters on the initial products. Comparison of experimental and theoretical data indicates the adequacy of the obtained model and high convergence of results. The developed model can be used for forecasting and optimizing industrial processes, where the adsorption of high-molecular compounds is a crucial stage, Including biotech manufacturing, the pharmaceutical industry, water treatment, and other industries. Thanks to the possibility of predicting the system’s behaviour when conditions change, the model can be a tool for improving existing technological processes, reducing costs and improving the quality of the final product. The developed mathematical model is essential to a deeper under-standing of the adsorption processes of high-molecular com-pounds in column-type devices. It not only allows for the analysis of the current state of the system but also provides for the possibility of its adaptation to new production conditions and needs. This opens up new opportunities for the deve-lopment of technologies in various industries. |
| format | Article |
| id | doaj-art-a0bf256b55604c22981c7b6d5df6bf67 |
| institution | DOAJ |
| issn | 2414-5955 2522-4417 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Lviv Polytechnic National University |
| record_format | Article |
| series | Environmental Problems |
| spelling | doaj-art-a0bf256b55604c22981c7b6d5df6bf672025-08-20T02:44:50ZengLviv Polytechnic National UniversityEnvironmental Problems2414-59552522-44172024-09-019317217810.23939/ep2024.03.172MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUSVira Sabadash 0https://orcid.org/0000-0002-6091-4053Anna Nowik-Zając 1https://orcid.org/0000-0001-9753-8314Oleh Konovalov 2https://orcid.org/0000-0003-0735-7603Lviv Polytechnic National UniversityJan Dlugosz University in CzestochowaLviv Polytechnic National UniversityThis article is devoted to researching the adsorption of high-molecular compounds in a column-type apparatus, which allows for taking into account the specific properties of adsorbed substances and the design features of the equipment. The purpose of the study was to create a mathematical model that describes the process of adsorption of high-molecular compounds in a column-type apparatus, taking into account the specific properties of the adsorbed substances and the design features of the equipment. Equations that consider the kinetic aspects of adsorption and desorption are used to des-cribe the dynamics of the process. It was noted that the large size of molecules, their complex structure, and environmental conditions can significantly affect the efficiency of the adsorption process. The model considers phenomena such as diffusion in a porous medium, the influence of competition between different components of the mixture, and possible changes in the structure of adsorbed molecules. The obtained data made it possible to determine the optimal conditions for achieving maximum adsorption efficiency and assess the effect of changing the process parameters on the initial products. Comparison of experimental and theoretical data indicates the adequacy of the obtained model and high convergence of results. The developed model can be used for forecasting and optimizing industrial processes, where the adsorption of high-molecular compounds is a crucial stage, Including biotech manufacturing, the pharmaceutical industry, water treatment, and other industries. Thanks to the possibility of predicting the system’s behaviour when conditions change, the model can be a tool for improving existing technological processes, reducing costs and improving the quality of the final product. The developed mathematical model is essential to a deeper under-standing of the adsorption processes of high-molecular com-pounds in column-type devices. It not only allows for the analysis of the current state of the system but also provides for the possibility of its adaptation to new production conditions and needs. This opens up new opportunities for the deve-lopment of technologies in various industries.https://science.lpnu.ua/ep/all-volumes-and-issues/volume-9-number-3-2024/mathematical-model-adsorption-high-molecular-weightwastewatermacromolecular compoundsadsorp-tion dynamicsalbuminactivated carboncolumn-type devices |
| spellingShingle | Vira Sabadash Anna Nowik-Zając Oleh Konovalov MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUS Environmental Problems wastewater macromolecular compounds adsorp-tion dynamics albumin activated carbon column-type devices |
| title | MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUS |
| title_full | MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUS |
| title_fullStr | MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUS |
| title_full_unstemmed | MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUS |
| title_short | MATHEMATICAL MODEL OF ADSORPTION OF HIGH MOLECULAR WEIGHT COMPOUNDS IN A COLUMN-TYPE APPARATUS |
| title_sort | mathematical model of adsorption of high molecular weight compounds in a column type apparatus |
| topic | wastewater macromolecular compounds adsorp-tion dynamics albumin activated carbon column-type devices |
| url | https://science.lpnu.ua/ep/all-volumes-and-issues/volume-9-number-3-2024/mathematical-model-adsorption-high-molecular-weight |
| work_keys_str_mv | AT virasabadash mathematicalmodelofadsorptionofhighmolecularweightcompoundsinacolumntypeapparatus AT annanowikzajac mathematicalmodelofadsorptionofhighmolecularweightcompoundsinacolumntypeapparatus AT olehkonovalov mathematicalmodelofadsorptionofhighmolecularweightcompoundsinacolumntypeapparatus |