Different solutions of the diffusion equation and its applications

Abstract In this  report, we solved the advection–diffusion equation under pollutants deposition on the ground surface, taking wind speed and vertical diffusion depend on the vertical height. Also, we estimated a simple diffusion model from point source in an urban atmosphere and the conservative ma...

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Autores principales: Khaled S. M. Essa, Soad M. Etman, Maha S. El-Otaify, M. Embaby, Ahmed M. Mosallem, Ahmed S. Shalaby
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/bcc6a305bb2d4e1d877dad796a4fb85a
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spelling oai:doaj.org-article:bcc6a305bb2d4e1d877dad796a4fb85a2021-11-28T12:25:58ZDifferent solutions of the diffusion equation and its applications10.1186/s43088-021-00153-42314-8543https://doaj.org/article/bcc6a305bb2d4e1d877dad796a4fb85a2021-11-01T00:00:00Zhttps://doi.org/10.1186/s43088-021-00153-4https://doaj.org/toc/2314-8543Abstract In this  report, we solved the advection–diffusion equation under pollutants deposition on the ground surface, taking wind speed and vertical diffusion depend on the vertical height. Also, we estimated a simple diffusion model from point source in an urban atmosphere and the conservative material with downwind was evaluated. Then, we calculated the extreme ground-level concentration as a function of stack height and plume rise in two cases. Comparison between the proposed models and the emission from the Egyptian Atomic Research Reactor at Inshas had been done. Lastly, we discussed the results in this report.Khaled S. M. EssaSoad M. EtmanMaha S. El-OtaifyM. EmbabyAhmed M. MosallemAhmed S. ShalabySpringerOpenarticleAdvection–diffusion equationPollutants depositionExtreme ground-level concentrationEgyptian atomic research reactorUrban atmosphereThe conservative materialMedicine (General)R5-920ScienceQENBeni-Suef University Journal of Basic and Applied Sciences, Vol 10, Iss 1, Pp 1-11 (2021)
institution DOAJ
collection DOAJ
language EN
topic Advection–diffusion equation
Pollutants deposition
Extreme ground-level concentration
Egyptian atomic research reactor
Urban atmosphere
The conservative material
Medicine (General)
R5-920
Science
Q
spellingShingle Advection–diffusion equation
Pollutants deposition
Extreme ground-level concentration
Egyptian atomic research reactor
Urban atmosphere
The conservative material
Medicine (General)
R5-920
Science
Q
Khaled S. M. Essa
Soad M. Etman
Maha S. El-Otaify
M. Embaby
Ahmed M. Mosallem
Ahmed S. Shalaby
Different solutions of the diffusion equation and its applications
description Abstract In this  report, we solved the advection–diffusion equation under pollutants deposition on the ground surface, taking wind speed and vertical diffusion depend on the vertical height. Also, we estimated a simple diffusion model from point source in an urban atmosphere and the conservative material with downwind was evaluated. Then, we calculated the extreme ground-level concentration as a function of stack height and plume rise in two cases. Comparison between the proposed models and the emission from the Egyptian Atomic Research Reactor at Inshas had been done. Lastly, we discussed the results in this report.
format article
author Khaled S. M. Essa
Soad M. Etman
Maha S. El-Otaify
M. Embaby
Ahmed M. Mosallem
Ahmed S. Shalaby
author_facet Khaled S. M. Essa
Soad M. Etman
Maha S. El-Otaify
M. Embaby
Ahmed M. Mosallem
Ahmed S. Shalaby
author_sort Khaled S. M. Essa
title Different solutions of the diffusion equation and its applications
title_short Different solutions of the diffusion equation and its applications
title_full Different solutions of the diffusion equation and its applications
title_fullStr Different solutions of the diffusion equation and its applications
title_full_unstemmed Different solutions of the diffusion equation and its applications
title_sort different solutions of the diffusion equation and its applications
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/bcc6a305bb2d4e1d877dad796a4fb85a
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AT soadmetman differentsolutionsofthediffusionequationanditsapplications
AT mahaselotaify differentsolutionsofthediffusionequationanditsapplications
AT membaby differentsolutionsofthediffusionequationanditsapplications
AT ahmedmmosallem differentsolutionsofthediffusionequationanditsapplications
AT ahmedsshalaby differentsolutionsofthediffusionequationanditsapplications
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