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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Main Author:	Wee, Darrel Chia Kee
Format:	Thesis
Language:	English
Published:	2013
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/35866/1/DarrelWeeChiaKeeMFS2013.pdf
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id	my-utm-ep.35866
record_format	uketd_dc
spelling	my-utm-ep.358662017-09-18T07:26:19Z Mathematical modelling in river pollution control 2013-01 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 http://eprints.utm.my/id/eprint/35866/ http://eprints.utm.my/id/eprint/35866/1/DarrelWeeChiaKeeMFS2013.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:70424?site_name=Restricted Repository masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
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
qualification_level	Master's degree
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
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/35866/1/DarrelWeeChiaKeeMFS2013.pdf
_version_	1747816374932078592

Mathematical modelling in river pollution control

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