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| Home > Publications database > Finite element analysis of time-developing concentration- polarization and fouling layers for cross-flow ultrafiltration in a cylindrical membrane pipe |
| Poster (Other) | FZJ-2018-07601 |
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2018
Abstract: 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.
Keyword(s): Industrial Application (2nd) ; Soft Condensed Matter (2nd)
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