naa a22 4500 510819389 CHVBK 20180411083523.0 cr unu---uuuuu 180411e20130901xx s 000 0 eng 10.1007/s11814-013-0123-7 doi (NATIONALLICENCE)springer-10.1007/s11814-013-0123-7 An explicit solution of the mathematical model for osmotic desalination process [Elektronische Daten] [Do Kim, Boram Gu, Dae Yang] 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, 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 various simulation conditions, accuracy, and a cost-effective computation time. Korean Institute of Chemical Engineers, Seoul, Korea, 2013 Modeling nationallicence Desalination nationallicence Reverse Osmosis nationallicence Forward Osmosis nationallicence Membrane Process nationallicence Kim Do Department of Chemical and Biological Engineering, Korea University, Anam-dong 5-Ga, Seongbuk-gu, 136-701, Seoul, Korea aut Gu Boram Department of Chemical and Biological Engineering, Korea University, Anam-dong 5-Ga, Seongbuk-gu, 136-701, Seoul, Korea aut Yang Dae Department of Chemical and Biological Engineering, Korea University, Anam-dong 5-Ga, Seongbuk-gu, 136-701, Seoul, Korea aut Korean Journal of Chemical Engineering Springer US; http://www.springer-ny.com 30/9(2013-09-01), 1691-1699 0256-1115 30:9<1691 2013 30 11814 https://doi.org/10.1007/s11814-013-0123-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11814-013-0123-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kim Do Department of Chemical and Biological Engineering, Korea University, Anam-dong 5-Ga, Seongbuk-gu, 136-701, Seoul, Korea aut NATIONALLICENCE 700 1- Gu Boram Department of Chemical and Biological Engineering, Korea University, Anam-dong 5-Ga, Seongbuk-gu, 136-701, Seoul, Korea aut NATIONALLICENCE 700 1- Yang Dae Department of Chemical and Biological Engineering, Korea University, Anam-dong 5-Ga, Seongbuk-gu, 136-701, Seoul, Korea aut NATIONALLICENCE 773 0- Korean Journal of Chemical Engineering Springer US; http://www.springer-ny.com 30/9(2013-09-01), 1691-1699 0256-1115 30:9<1691 2013 30 11814 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer