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@INPROCEEDINGS{Park:909888,
      author       = {Park, Gunwoo and Naegele, Gerhard},
      title        = {{M}odeling {U}ltrafiltration of {I}nteracting {B}rownian
                      {P}articles},
      reportid     = {FZJ-2022-03496},
      year         = {2022},
      abstract     = {Membrane crossflow ultrafiltration (UF) is widely used for
                      the enrichment and purification of colloids and proteins. In
                      this continuous process, a feed dispersion is steadily
                      pumped through a channel consisting of solvent-permeable
                      membrane walls. The applied transmembrane pressure (TMP)
                      causes the solvent to flow out of the membrane channel. The
                      TMP-induced permeate flux of a colloidal dispersion is
                      commonly smaller than that of pure solvent. This unwarranted
                      permeate flux reduction is due to the following effects.
                      First, the permeate flux transports colloidal particles
                      towards the inner membrane surface where they form a
                      particle-enriched diffuse layer. This so-called
                      concentration polarization (CP) layer increases the osmotic
                      particle pressure which counteracts the applied TMP. Second,
                      membrane-fouling mechanisms are operative, including the
                      formation of adsorbed particle layers partially blocking the
                      membrane pores, and the formation of a cake multi-layer of
                      immobilized particles. Fouling mechanisms decrease the
                      hydraulic permeability of the membrane and possibly cause
                      irreversible damage to the membrane. We have developed a
                      semi-analytic modified boundary layer approximation (mBLA)
                      method to calculate concentration and flow profiles in the
                      UF of colloidal dispersions from knowledge of the
                      concentration-dependent bulk suspension properties [1, 2].
                      The mBLA is an accurate and fast method, producing results
                      in full agreement with numerically expensive finite-element
                      calculations [1]. Moreover, the semi-analytic mBLA
                      expressions provide the important insight into the influence
                      of dispersion properties such as the collective diffusion
                      coefficient and shear viscosity, which helps to improve the
                      UF efficiency [1, 2]. We present mBLA results for the UF of
                      dispersions of solvent-permeable rigid, and of
                      charge-stabilized colloidal particles in a broad range of
                      particle sizes. A simple cake layer model is used to unravel
                      the relations between critical and limiting permeate fluxes
                      and applied TMP [3]. References[1] G. W. Park and G.
                      Nägele, Journal of Chemical Physics, 2020, 153, 204110.[2]
                      G. W. Park and G. Nägele, Membranes, 2021, 11, 960.[3] G.
                      W. Park, M. Brito, and G. Nägele, manuscript in
                      preparation.},
      month         = {Sep},
      date          = {2022-09-04},
      organization  = {The 36th European Colloid $\&$
                       Interface Society Conference, Crete
                       (Greece), 4 Sep 2022 - 9 Sep 2022},
      subtyp        = {After Call},
      cin          = {IBI-4},
      cid          = {I:(DE-Juel1)IBI-4-20200312},
      pnm          = {5241 - Molecular Information Processing in Cellular Systems
                      (POF4-524)},
      pid          = {G:(DE-HGF)POF4-5241},
      typ          = {PUB:(DE-HGF)24},
      url          = {https://juser.fz-juelich.de/record/909888},
}