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Language: English

Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received May 6, 2013
Accepted July 9, 2013

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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An explicit solution of the mathematical model for osmotic desalination process

Do Yeon Kim Boram Gu Dae Ryook Yang^†

Department of Chemical and Biological Engineering, Korea University, Anam-dong 5-Ga, Seongbuk-gu, Seoul 136-701, Korea

Korean Journal of Chemical Engineering, September 2013, 30(9), 1691-1699(9), 10.1007/s11814-013-0123-7

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Abstract

Membrane processes such as reverse osmosis and forward osmosis for seawater desalination have gained attention in recent years. Mathematical models have been used to interpret the mechanism of membrane processes. The membrane process model, consisting of flux and concentration polarization (CP) models, is coupled with balance equations and solved simultaneously. This set of model equations is, however, implicit and nonlinear; consequently,_x000D_ the model must be solved iteratively and numerically, which is time- and cost-intensive. We suggest a method to transform implicit equations to their explicit form, in order to avoid an iterative procedure. In addition, the performance of five solving methods, including the method that we suggest, is tested and compared for accuracy, computation time, and robustness based on input conditions. Our proposed method shows the best performance based on the robustness of_x000D_ various simulation conditions, accuracy, and a cost-effective computation time.

Keywords

Modeling Desalination Reverse Osmosis Forward Osmosis Membrane Process

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