Mathematical modelling in river pollution control

This study is conducted to determine the concentration of coliform bacteria along a river. Coliform bacteria are used as the indicator for the pollution level of a river because its concentration in wastewater discharges is much more compared to the concentration of other microorganisms. A mathemati...

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第一著者: Wee, Darrel Chia Kee
フォーマット: 学位論文
言語:English
出版事項: 2013
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spelling my.utm.358662017-09-18T07:26:19Z http://eprints.utm.my/id/eprint/35866/ Mathematical modelling in river pollution control Wee, Darrel Chia Kee QA Mathematics This study is conducted to determine the concentration of coliform bacteria along a river. Coliform bacteria are used as the indicator for the pollution level of a river because its concentration in wastewater discharges is much more compared to the concentration of other microorganisms. A mathematical model based on the convection reaction equation will be developed to determine the concentration of coliform bacteria along a river. Before studying the convection reaction equation, we will study the solutions of the simpler model based on the linear advection equation. The model based on the linear advection equation will be solved analytically using the method of characteristics. The model will also be solved numerically using the first order upwind scheme. The graphical outputs for the solution of the model will be presented using MATLAB. After analysing the linear advection equation, we will move on to the convection reaction equation. This equation will be solved analytically using the method of variable change and integrating factor. Once the equation is solved, the solution is plotted using Maple for an easier analysis of the result. The result suggests that the concentration of coliform bacteria is the highest at the source of wastewater discharges. 2013-01 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/35866/1/DarrelWeeChiaKeeMFS2013.pdf Wee, Darrel Chia Kee (2013) Mathematical modelling in river pollution control. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:70424?site_name=Restricted Repository
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Wee, Darrel Chia Kee
Mathematical modelling in river pollution control
description This study is conducted to determine the concentration of coliform bacteria along a river. Coliform bacteria are used as the indicator for the pollution level of a river because its concentration in wastewater discharges is much more compared to the concentration of other microorganisms. A mathematical model based on the convection reaction equation will be developed to determine the concentration of coliform bacteria along a river. Before studying the convection reaction equation, we will study the solutions of the simpler model based on the linear advection equation. The model based on the linear advection equation will be solved analytically using the method of characteristics. The model will also be solved numerically using the first order upwind scheme. The graphical outputs for the solution of the model will be presented using MATLAB. After analysing the linear advection equation, we will move on to the convection reaction equation. This equation will be solved analytically using the method of variable change and integrating factor. Once the equation is solved, the solution is plotted using Maple for an easier analysis of the result. The result suggests that the concentration of coliform bacteria is the highest at the source of wastewater discharges.
format Thesis
author Wee, Darrel Chia Kee
author_facet Wee, Darrel Chia Kee
author_sort Wee, Darrel Chia Kee
title Mathematical modelling in river pollution control
title_short Mathematical modelling in river pollution control
title_full Mathematical modelling in river pollution control
title_fullStr Mathematical modelling in river pollution control
title_full_unstemmed Mathematical modelling in river pollution control
title_sort mathematical modelling in river pollution control
publishDate 2013
url http://eprints.utm.my/id/eprint/35866/1/DarrelWeeChiaKeeMFS2013.pdf
http://eprints.utm.my/id/eprint/35866/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:70424?site_name=Restricted Repository
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