TY - JOUR
T1 - An explicit solution of the mathematical model for osmotic desalination process
AU - Kim, Do Yeon
AU - Gu, Boram
AU - Yang, Dae Ryook
N1 - Funding Information:
This research was supported by a grant (07seaheroB02-01-01) from the Plant Technology Advancement Program funded by the Ministry of Land, Transport and Maritime Affairs of the Korean government.
PY - 2013/9
Y1 - 2013/9
N2 - 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.
AB - 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.
KW - Desalination
KW - Forward Osmosis
KW - Membrane Process
KW - Modeling
KW - Reverse Osmosis
UR - http://www.scopus.com/inward/record.url?scp=84883759737&partnerID=8YFLogxK
U2 - 10.1007/s11814-013-0123-7
DO - 10.1007/s11814-013-0123-7
M3 - Article
AN - SCOPUS:84883759737
SN - 0256-1115
VL - 30
SP - 1691
EP - 1699
JO - Korean Journal of Chemical Engineering
JF - Korean Journal of Chemical Engineering
IS - 9
ER -