Mathematical modeling of water pollution in river
This project proposed a steady one-dimensional advection-dispersion-reaction equation to calculate the chemical oxygen demand (COD) concentration in a river. (COD) refers to the amount of oxygen required to oxidize the organic compounds in a water sample to carbon dioxide and water[1]. It is used fo...
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2013
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my-utm-ep.479182017-09-11T03:03:13Z Mathematical modeling of water pollution in river 2013-01 Chew, Kim Fie QA Mathematics This project proposed a steady one-dimensional advection-dispersion-reaction equation to calculate the chemical oxygen demand (COD) concentration in a river. (COD) refers to the amount of oxygen required to oxidize the organic compounds in a water sample to carbon dioxide and water[1]. It is used for monitoring and control of discharges, and for assessing water treatment performance[2]. The equation is converted to second order linear ordinary differential equation and solved by using finite difference method (FDM). The method involving finite differences for solving boundary-value problems replace each of the derivatives in the differential equation with an appropriate difference-quotient approximation. The derivatives are approximated by using forward difference, backward difference and central difference. The resulting system of equations is expressed in the tridiagonal N x N matrix form which can be solved by Thomas Algorithm. From the result, a total of 1.0161 mg/L COD concentrations is reduced with the least treatment cost of euro 663. In addition, 1 mg/L of COD concentration is reduced by using 35 pieces of EM mudballs within the 10000m3 of polluted water in two days. The estimated cost is RM 22.75. 2013-01 Thesis http://eprints.utm.my/id/eprint/47918/ http://eprints.utm.my/id/eprint/47918/25/ChewKimFieMFS2013.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science |
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Universiti Teknologi Malaysia |
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UTM Institutional Repository |
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English |
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QA Mathematics |
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QA Mathematics Chew, Kim Fie Mathematical modeling of water pollution in river |
| description |
This project proposed a steady one-dimensional advection-dispersion-reaction equation to calculate the chemical oxygen demand (COD) concentration in a river. (COD) refers to the amount of oxygen required to oxidize the organic compounds in a water sample to carbon dioxide and water[1]. It is used for monitoring and control of discharges, and for assessing water treatment performance[2]. The equation is converted to second order linear ordinary differential equation and solved by using finite difference method (FDM). The method involving finite differences for solving boundary-value problems replace each of the derivatives in the differential equation with an appropriate difference-quotient approximation. The derivatives are approximated by using forward difference, backward difference and central difference. The resulting system of equations is expressed in the tridiagonal N x N matrix form which can be solved by Thomas Algorithm. From the result, a total of 1.0161 mg/L COD concentrations is reduced with the least treatment cost of euro 663. In addition, 1 mg/L of COD concentration is reduced by using 35 pieces of EM mudballs within the 10000m3 of polluted water in two days. The estimated cost is RM 22.75. |
| format |
Thesis |
| qualification_level |
Master's degree |
| author |
Chew, Kim Fie |
| author_facet |
Chew, Kim Fie |
| author_sort |
Chew, Kim Fie |
| title |
Mathematical modeling of water pollution in river |
| title_short |
Mathematical modeling of water pollution in river |
| title_full |
Mathematical modeling of water pollution in river |
| title_fullStr |
Mathematical modeling of water pollution in river |
| title_full_unstemmed |
Mathematical modeling of water pollution in river |
| title_sort |
mathematical modeling of water pollution in river |
| granting_institution |
Universiti Teknologi Malaysia, Faculty of Science |
| granting_department |
Faculty of Science |
| publishDate |
2013 |
| url |
http://eprints.utm.my/id/eprint/47918/25/ChewKimFieMFS2013.pdf |
| _version_ |
1747817263307685888 |