TY  - CONF
AU  - Park, Gunwoo
AU  - Brito, Mariano
AU  - Zholkovskiy, E.
AU  - Naegele, Gerhard
TI  - Finite element analysis of time-developing concentration- polarization and fouling layers for cross-flow ultrafiltration in a cylindrical membrane pipe
M1  - FZJ-2018-07601
PY  - 2018
AB  - The similarity solution of a boundary layer has been frequently applied to the modeling of concentration profiles of dispersions in the case of cross-flow ultrafiltration in a cylindrical membrane pipe. The main advantage of the similarity framework is to express the advection- diffusion equation in the boundary layer as a set of ordinary differential equations with given transport properties such as the concentration-dependent diffusion coefficient and the suspension viscosity. It is a challenging task, however, to extend the similarity framework to the time development of the concentration polarization (CP) and fouling layers, especially when a complex membrane geometry is considered. In this study, we present a finite element analysis of the time-developing CP and membrane cake layers which we compare with the standard similarity solution [1]. The transport properties required as input to the finite element and similarity calculations are determined and discussed for charge-stabilized suspensions of impermeable particles[2], non-ionic microgels[3], and ionic microgels with concentration- dependent radii [4].[1] G. W. Park, M. Brito, A. Denton, and G. Nägele, work in progress.[2] Roa, R. et al., “Ultrafiltration of charge-stabilized dispersions at low salinity,” Soft Matter 12, 4638–4653 (2016).[3] Roa, R., E. K. Zholkovskiy, and G. Naegele, “Ultrafiltration modeling of non-ionic microgels,” Soft Matter 11, 4106–4122 (2015).[4] Brito, M. et al., work in progress.
T2  - 2nd Joint Summer School SFB 985 & Georgia Institute of Technology
CY  - 9 Jul 2018 - 12 Jul 2018, Monschau (Germany)
Y2  - 9 Jul 2018 - 12 Jul 2018
M2  - Monschau, Germany
LB  - PUB:(DE-HGF)24
UR  - https://juser.fz-juelich.de/record/858756
ER  -