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Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time
In this study, the Burgers equation governing the time-dependent dispersion phenomena is solved numerically using the finite difference scheme and the Runge-Kutta 4 algorithm with appropriate initial and boundary conditions. Two time-dependent dispersion functions have been implemented to analyze th...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9253921/ https://www.ncbi.nlm.nih.gov/pubmed/35800253 http://dx.doi.org/10.1016/j.heliyon.2022.e09776 |
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author | Yonti Madie, Calvia Kamga Togue, Fulbert Woafo, Paul |
author_facet | Yonti Madie, Calvia Kamga Togue, Fulbert Woafo, Paul |
author_sort | Yonti Madie, Calvia |
collection | PubMed |
description | In this study, the Burgers equation governing the time-dependent dispersion phenomena is solved numerically using the finite difference scheme and the Runge-Kutta 4 algorithm with appropriate initial and boundary conditions. Two time-dependent dispersion functions have been implemented to analyze the spatio-temporal variation in the domain. For the values of K(L) and K(A) < 1.2 years, a significant retention of the mass of solute is observed when the dispersion function is asymptotic. The results obtained show that the concentration profiles are similar when the values of K(L) and K(A) ≥ 1.2 years. These results demonstrate the importance of the nature of the dispersion function on the retention capacity of solutes in the porous medium. |
format | Online Article Text |
id | pubmed-9253921 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
spelling | pubmed-92539212022-07-06 Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time Yonti Madie, Calvia Kamga Togue, Fulbert Woafo, Paul Heliyon Research Article In this study, the Burgers equation governing the time-dependent dispersion phenomena is solved numerically using the finite difference scheme and the Runge-Kutta 4 algorithm with appropriate initial and boundary conditions. Two time-dependent dispersion functions have been implemented to analyze the spatio-temporal variation in the domain. For the values of K(L) and K(A) < 1.2 years, a significant retention of the mass of solute is observed when the dispersion function is asymptotic. The results obtained show that the concentration profiles are similar when the values of K(L) and K(A) ≥ 1.2 years. These results demonstrate the importance of the nature of the dispersion function on the retention capacity of solutes in the porous medium. Elsevier 2022-06-22 /pmc/articles/PMC9253921/ /pubmed/35800253 http://dx.doi.org/10.1016/j.heliyon.2022.e09776 Text en © 2022 The Authors https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Research Article Yonti Madie, Calvia Kamga Togue, Fulbert Woafo, Paul Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time |
title | Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time |
title_full | Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time |
title_fullStr | Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time |
title_full_unstemmed | Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time |
title_short | Numerical solution of the Burgers equation associated with the phenomena of longitudinal dispersion depending on time |
title_sort | numerical solution of the burgers equation associated with the phenomena of longitudinal dispersion depending on time |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9253921/ https://www.ncbi.nlm.nih.gov/pubmed/35800253 http://dx.doi.org/10.1016/j.heliyon.2022.e09776 |
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