Dynamics of water pollution concentration with uniform and exponential increment of pollutants
The study focuses on the one dimensional Advection-Dispersion Equation (ADE) to study the dynamics of concentration of water pollution when the pollutants at the source is increasing uniformly and exponentially. Analytical solutions are obtained by using Laplace transform and numerical solutions ar...
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| Format: | Article |
| Language: | English |
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Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University
2025-01-01
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| Series: | Bibechana |
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| Online Access: | https://www.nepjol.info/index.php/BIBECHANA/article/view/65799 |
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| author | Jeevan Kafle Ranjan Kumar Chaudhary Bekha Ratna Dangol |
| author_facet | Jeevan Kafle Ranjan Kumar Chaudhary Bekha Ratna Dangol |
| author_sort | Jeevan Kafle |
| collection | DOAJ |
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The study focuses on the one dimensional Advection-Dispersion Equation (ADE) to study the dynamics of concentration of water pollution when the pollutants at the source is increasing uniformly and exponentially. Analytical solutions are obtained by using Laplace transform and numerical solutions are by Finite Difference Method (FDM). The steady state case is studied. The dynamics of pollution concentration along the length of river channel are studied through two dimensional plots by varying the rate of added pollutants, cross sectional area of river and water flow velocity. The pollution concentration decreases along the length of river (downstream) for each analysis. The analytical and numerical solutions are shown in three dimensional plots. The analytical and numerical solutions are compared with the help of relative error. The relative errors calculated for uniform and exponential increment of pollutants at the source are compared while studying the dynamics of the concentration. The environmental and chemical engineering may substantially benefit from such studies.
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| format | Article |
| id | doaj-art-c2c50b9a1f1244559cc533eb8483ef13 |
| institution | Kabale University |
| issn | 2091-0762 2382-5340 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University |
| record_format | Article |
| series | Bibechana |
| spelling | doaj-art-c2c50b9a1f1244559cc533eb8483ef132025-01-27T13:14:23ZengDepartment of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan UniversityBibechana2091-07622382-53402025-01-01221Dynamics of water pollution concentration with uniform and exponential increment of pollutantsJeevan Kafle0Ranjan Kumar Chaudhary1Bekha Ratna Dangol2Centarl Department of Mathematics, Tribhuvan University, KathmanduCentarl Department of Mathematics, Tribhuvan University, KathmanduDepartment of Mathematics,Patan Multiple Campus, Tribhuvan University Lalitpur The study focuses on the one dimensional Advection-Dispersion Equation (ADE) to study the dynamics of concentration of water pollution when the pollutants at the source is increasing uniformly and exponentially. Analytical solutions are obtained by using Laplace transform and numerical solutions are by Finite Difference Method (FDM). The steady state case is studied. The dynamics of pollution concentration along the length of river channel are studied through two dimensional plots by varying the rate of added pollutants, cross sectional area of river and water flow velocity. The pollution concentration decreases along the length of river (downstream) for each analysis. The analytical and numerical solutions are shown in three dimensional plots. The analytical and numerical solutions are compared with the help of relative error. The relative errors calculated for uniform and exponential increment of pollutants at the source are compared while studying the dynamics of the concentration. The environmental and chemical engineering may substantially benefit from such studies. https://www.nepjol.info/index.php/BIBECHANA/article/view/65799AdvectionDispersion Pollutant Concentration Laplace transform Finite Difference Relative error |
| spellingShingle | Jeevan Kafle Ranjan Kumar Chaudhary Bekha Ratna Dangol Dynamics of water pollution concentration with uniform and exponential increment of pollutants Bibechana Advection Dispersion Pollutant Concentration Laplace transform Finite Difference Relative error |
| title | Dynamics of water pollution concentration with uniform and exponential increment of pollutants |
| title_full | Dynamics of water pollution concentration with uniform and exponential increment of pollutants |
| title_fullStr | Dynamics of water pollution concentration with uniform and exponential increment of pollutants |
| title_full_unstemmed | Dynamics of water pollution concentration with uniform and exponential increment of pollutants |
| title_short | Dynamics of water pollution concentration with uniform and exponential increment of pollutants |
| title_sort | dynamics of water pollution concentration with uniform and exponential increment of pollutants |
| topic | Advection Dispersion Pollutant Concentration Laplace transform Finite Difference Relative error |
| url | https://www.nepjol.info/index.php/BIBECHANA/article/view/65799 |
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