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| Home > Publications database > Finite element analysis of concentration-polarization layers for cross-flow ultrafiltration in a cylindrical membrane having impermeable segments |
| Poster (After Call) | FZJ-2018-07602 |
; ; ;
2018
Please use a persistent id in citations: http://hdl.handle.net/2128/21043
Abstract: The similarity solution of a concentration 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. In this model, the advection-diffusion equation in the boundary layer is described by a set of ordinary differential equations, and the properties of colloids are characterized by the collective diffusion coefficient, suspension viscosity, and osmotic pressure. The model is extendable with a different type of colloidal suspensions when the properties of colloids are given. It is a challenging task, however, to extend the similarity framework to the concentration-polarization (CP) and fouling layers especially when a complex membrane geometry is considered. In this study, we present a finite element method (FEM) of CP layers which we compare with the standard similarity solution [1]. Furthermore, we apply FEM to the case when the membrane wall is segmented by impermeable rings weakening the CP layer. Colloidal transport properties required as input to the filtration model are determined and discussed for charge-stabilized suspensions of impermeable particles [2], non-ionic microgels [3], and ionic microgels with concentration-dependent radii [4].References[1] Park, G. W., M. Brito, E. Zholkovskiy, and G. Nägele, work in progress.[2] Roa, R. et al., “Ultrafiltration of charge-stabilized dispersions at low salinity,” SoftMatter 12, 4638–4653 (2016).[3] Roa, R., E. Zholkovskiy, and G. Nägele, “Ultrafiltration modeling of non-ionicmicrogels,” Soft Matter 11, 4106–4122 (2015).[4] Brito, M. et al., work in progress.
Keyword(s): Instrument and Method Development (2nd) ; Soft Condensed Matter (2nd)
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