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@INPROCEEDINGS{Park:858757,
      author       = {Park, Gunwoo and Brito, Mariano and Zholkovskiy, E. and
                      Naegele, Gerhard},
      title        = {{F}inite element analysis of concentration-polarization
                      layers for cross-flow ultrafiltration in a cylindrical
                      membrane having impermeable segments},
      reportid     = {FZJ-2018-07602},
      year         = {2018},
      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.},
      month         = {Nov},
      date          = {2018-11-20},
      organization  = {Jülich Soft Matter Days 2018, Jülich
                       (Germany), 20 Nov 2018 - 23 Nov 2018},
      subtyp        = {After Call},
      cin          = {ICS-3},
      cid          = {I:(DE-Juel1)ICS-3-20110106},
      pnm          = {551 - Functional Macromolecules and Complexes (POF3-551) /
                      SFB 985 B06 - Kontinuierliche Trennung und Aufkonzentrierung
                      von Mikrogelen (B06) (221475706)},
      pid          = {G:(DE-HGF)POF3-551 / G:(GEPRIS)221475706},
      typ          = {PUB:(DE-HGF)24},
      url          = {https://juser.fz-juelich.de/record/858757},
}