TY - JOUR
T1 - Modeling of concentration polarization in a reverse osmosis channel with parabolic crossflow
AU - Liu, Cui
AU - Morse, Audra
AU - Rainwater, Ken
AU - Song, Lianfa
PY - 2014/1
Y1 - 2014/1
N2 - Concentration polarization in narrow reverse osmosis channels with parabolic crossflow was numerically simulated with finite different equations related to permeate velocity, crossflow velocity, average salt concentration, and wall salt concentration. A significant new theoretical development was the determination of two correction functions, F2 and F3, in the governing equation for average salt concentration. Simulations of concentration polarization under various conditions were then presented to describe the features of the new model as well as discussions about the differences of concentration polarizations of the more realistic parabolic flow with those when plug flow or shear flow was assumed. The situations in which the simpler models based on shear or plug flow can be used were indicated. Concentration polarization was also simulated for various conditions to show the applicability of the model and general features of concentration polarization in a narrow, long reverse osmosis channel.
AB - Concentration polarization in narrow reverse osmosis channels with parabolic crossflow was numerically simulated with finite different equations related to permeate velocity, crossflow velocity, average salt concentration, and wall salt concentration. A significant new theoretical development was the determination of two correction functions, F2 and F3, in the governing equation for average salt concentration. Simulations of concentration polarization under various conditions were then presented to describe the features of the new model as well as discussions about the differences of concentration polarizations of the more realistic parabolic flow with those when plug flow or shear flow was assumed. The situations in which the simpler models based on shear or plug flow can be used were indicated. Concentration polarization was also simulated for various conditions to show the applicability of the model and general features of concentration polarization in a narrow, long reverse osmosis channel.
KW - Concentration polarization
KW - Desalination
KW - Mathematical modeling
KW - Parabolic flow
KW - Reverse osmosis
KW - Total salt balance
UR - http://www.scopus.com/inward/record.url?scp=84892492264&partnerID=8YFLogxK
U2 - 10.2175/106143013X13778144233972
DO - 10.2175/106143013X13778144233972
M3 - Article
C2 - 24617111
AN - SCOPUS:84892492264
VL - 86
SP - 56
EP - 62
JO - Water Environment Research
JF - Water Environment Research
SN - 1061-4303
IS - 1
ER -