Universiti Teknologi Malaysia Institutional Repository

Mathematical modeling of water pollution in river

Chew, Kim Fie (2013) Mathematical modeling of water pollution in river. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.



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.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik Kejuruteraan)) - Universiti Teknologi Malaysia, 2013; Supervisor : Prof. Dr. Norsarahaida S. Amin
Uncontrolled Keywords:water pollution, river
Subjects:Q Science > QA Mathematics
ID Code:47918
Deposited On:01 Oct 2015 08:14
Last Modified:11 Sep 2017 11:03

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