Mathematical modelling of water filtration

The aim of this project is to develop a mathematical formulation called finite volume method which can provide stabilized numerical results for convection-diffusion problems. The finite volume method is studied and applied to investigate the problem of water filtration through a membrane. The values...

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Bibliographic Details
Main Author: Chow, Ting Siong
Other Authors: Ang Whye Teong
Format: Final Year Project
Language:English
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/10356/63988
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Institution: Nanyang Technological University
Language: English
Description
Summary:The aim of this project is to develop a mathematical formulation called finite volume method which can provide stabilized numerical results for convection-diffusion problems. The finite volume method is studied and applied to investigate the problem of water filtration through a membrane. The values of concentration are obtained by using the explicit scheme method which is based on the finite volume method. To demonstrate the applicability of the method, an unsteady convection-diffusion problem is performed in the one-dimensional semi-infinite domain. The numerical results will then solve using MATLAB software program.