Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere Layer
A promising direction for solving the problem of air pollution by fine substances is the use of numerical modeling in the development of mathematical models of the transport of pollutants in the atmosphere. An urgent problem in applying mathematical models with numerical algorithms and software is c...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Kaunas University of Technology
2022-12-01
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| Series: | Medžiagotyra |
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| Online Access: | https://matsc.ktu.lt/index.php/MatSc/article/view/30223 |
| _version_ | 1811164947309133824 |
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| author | Ivan KOZII Leonid PLYATSUK Tetyana ZHYLENKO Larysa HURETS Yevhen BATALTSEV Dmytro SAYENKOV |
| author_facet | Ivan KOZII Leonid PLYATSUK Tetyana ZHYLENKO Larysa HURETS Yevhen BATALTSEV Dmytro SAYENKOV |
| author_sort | Ivan KOZII |
| collection | DOAJ |
| description | A promising direction for solving the problem of air pollution by fine substances is the use of numerical modeling in the development of mathematical models of the transport of pollutants in the atmosphere. An urgent problem in applying mathematical models with numerical algorithms and software is constructing a qualitative model that would meet both the physical parameters and fulfill all the optimal conditions of numerical analysis. The main objective of this study was to develop an algorithm of a mathematical model based on the equation of distribution of impurities in a turbulent medium. That allows considering the simultaneous influence of wind speed, turbulence of atmospheric air, pollution parameters, direction, and wind force on the size of scattering zones. The unique feature of the study is the use of the coordinate splitting equation of impurities distribution in a turbulent environment with subsequent normalization and parameterization of conditions. Finding integrands functions in the calculation algorithm allows obtaining a stable computational algorithm of the proposed propagation model of fine suspended particles. The solution of the function implemented in the Mathcad Prime 7 software. Distributions of concentrations and their levels for various values of turbulence of atmospheric air and dangerous wind speed are received. The most significant number of fine particles is at a distance of up to 4 km from the emission source. Still, there is also the transfer of contaminants at more than 5 km (up to 57 % of the initial emission concentration). The model has convenient software and algorithmic software, the time of calculation of graphic visualizations up to 20 minutes on medium-power computers. The obtained mathematical model can use in systems of forecasting man-caused load on the environment for the prompt solution of environmental problems. |
| first_indexed | 2024-04-10T15:29:31Z |
| format | Article |
| id | doaj.art-ca5c5ec898ba4c67a659f4284b5d5de5 |
| institution | Directory Open Access Journal |
| issn | 1392-1320 2029-7289 |
| language | English |
| last_indexed | 2024-04-10T15:29:31Z |
| publishDate | 2022-12-01 |
| publisher | Kaunas University of Technology |
| record_format | Article |
| series | Medžiagotyra |
| spelling | doaj.art-ca5c5ec898ba4c67a659f4284b5d5de52023-02-14T04:13:40ZengKaunas University of TechnologyMedžiagotyra1392-13202029-72892022-12-0128452953510.5755/j02.ms.3022335477Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere LayerIvan KOZII0https://orcid.org/0000-0003-0402-6876Leonid PLYATSUK1https://orcid.org/0000-0003-0095-5846Tetyana ZHYLENKO2https://orcid.org/0000-0002-9717-3033Larysa HURETS3https://orcid.org/0000-0002-2318-4223Yevhen BATALTSEV4https://orcid.org/0000-0003-2035-2014Dmytro SAYENKOV5https://orcid.org/0000-0002-3819-5398Sumy state universitySumy State UniversitySumy State UniversitySumy State UniversitySumy State Universityd.sayenkov@ecolog.sumdu.edu.uaA promising direction for solving the problem of air pollution by fine substances is the use of numerical modeling in the development of mathematical models of the transport of pollutants in the atmosphere. An urgent problem in applying mathematical models with numerical algorithms and software is constructing a qualitative model that would meet both the physical parameters and fulfill all the optimal conditions of numerical analysis. The main objective of this study was to develop an algorithm of a mathematical model based on the equation of distribution of impurities in a turbulent medium. That allows considering the simultaneous influence of wind speed, turbulence of atmospheric air, pollution parameters, direction, and wind force on the size of scattering zones. The unique feature of the study is the use of the coordinate splitting equation of impurities distribution in a turbulent environment with subsequent normalization and parameterization of conditions. Finding integrands functions in the calculation algorithm allows obtaining a stable computational algorithm of the proposed propagation model of fine suspended particles. The solution of the function implemented in the Mathcad Prime 7 software. Distributions of concentrations and their levels for various values of turbulence of atmospheric air and dangerous wind speed are received. The most significant number of fine particles is at a distance of up to 4 km from the emission source. Still, there is also the transfer of contaminants at more than 5 km (up to 57 % of the initial emission concentration). The model has convenient software and algorithmic software, the time of calculation of graphic visualizations up to 20 minutes on medium-power computers. The obtained mathematical model can use in systems of forecasting man-caused load on the environment for the prompt solution of environmental problems.https://matsc.ktu.lt/index.php/MatSc/article/view/30223atmospheric pollutionfine substancessurface layernumerical modelair turbulence |
| spellingShingle | Ivan KOZII Leonid PLYATSUK Tetyana ZHYLENKO Larysa HURETS Yevhen BATALTSEV Dmytro SAYENKOV Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere Layer Medžiagotyra atmospheric pollution fine substances surface layer numerical model air turbulence |
| title | Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere Layer |
| title_full | Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere Layer |
| title_fullStr | Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere Layer |
| title_full_unstemmed | Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere Layer |
| title_short | Development of the Turbulent Diffusion Model of Fine Suspended Substances in the Lower Atmosphere Layer |
| title_sort | development of the turbulent diffusion model of fine suspended substances in the lower atmosphere layer |
| topic | atmospheric pollution fine substances surface layer numerical model air turbulence |
| url | https://matsc.ktu.lt/index.php/MatSc/article/view/30223 |
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