Numerical Determination of the Portability of Treated Water Using Ordinary Differential Equations: A Case Study in Vea- Gowrea Water Treatment Plant

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2013-12-16
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The problem of the Vea – Gowrea Water Treatment Plant was to develop a mathematical model of the flow of chlorine from the chlorine chamber to the clearwell, to numerically determine the concentration levels of chlorine of the treated water at any given moment so as to help minimize the number of experiments carryout every 2hours by management to ensure water portability. Runge – Kutta second order numerical solution method to an ODE model using ode23 solver of MATLAB 7.9.0 (R2009b) revealed that the numerical determination of the portability of treated water would be a better complement to the experimental method solely used by management of the Vea – Gowrea Water Treatment Plant of the Upper East Region of Ghana. The research results also showed the concentration levels of chlorine by – products such as THMs and HAAs which have long term effects on human health when found in excess beyond the recommended limits.
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A Thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirements for the degree of Master of Science in Industrial Mathematics, June-2013
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