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@INPROCEEDINGS{Park:858756,
      author       = {Park, Gunwoo and Brito, Mariano and Zholkovskiy, E. and
                      Naegele, Gerhard},
      title        = {{F}inite element analysis of time-developing concentration-
                      polarization and fouling layers for cross-flow
                      ultrafiltration in a cylindrical membrane pipe},
      reportid     = {FZJ-2018-07601},
      year         = {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.},
      month         = {Jul},
      date          = {2018-07-09},
      organization  = {2nd Joint Summer School SFB 985 $\&$
                       Georgia Institute of Technology,
                       Monschau (Germany), 9 Jul 2018 - 12 Jul
                       2018},
      subtyp        = {Other},
      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/858756},
}