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@INPROCEEDINGS{Park:908178,
      author       = {Park, Gunwoo and Naegele, Gerhard},
      title        = {{C}ritical {F}lux in {P}article {U}ltrafiltration of
                      {V}ariable {S}izes: {U}sing {I}nteracting {B}rownian
                      {D}ispersions},
      reportid     = {FZJ-2022-02436},
      year         = {2022},
      abstract     = {Cross-flow ultrafiltration (UF) is a pressure-driven
                      separation process used, e.g., for water purification, blood
                      treatment by (artificial) kidneys, and protein enrichment.
                      In this process, a feed dispersion is steadily pumped
                      through a channel consisting of solvent-permeable membrane
                      walls. The applied transmembrane pressure (TMP) causes
                      solvent to flow out of channel so that a particle-enriched
                      diffuse layer is formed near the membrane walls. This so-
                      called concentration-polarization (CP) reduces the permeate
                      flux and hence the filtration efficiency, due to osmotic
                      pressure built-up counter-acting the TMP. The particle
                      concentration inside the CP layer increases with the applied
                      TMP. When it reaches a freezing concentration where the
                      particles are immobilized, an unwarranted cake layer is
                      formed at the membrane walls. The permeate flux value
                      signaling the onset of cake formation is called the critical
                      flux. Predictions of the critical flux are commonly made
                      using standard film theory which, however, applies only to
                      colloidal particles and proteins of a diameter smaller than
                      10 nm. When the diameter roughly exceeds 100 nm, the
                      predicted critical flux is an order-of- magnitude smaller
                      than the experimental one. This is referred to as the
                      critical flux paradox.We present theoretical results for the
                      UF concentration and flow profiles, and the critical flux
                      for dispersions of various size of particles. The results
                      are obtained using a recently published modified boundary
                      layer approximation (mBLA) method of cross-flow UF. The
                      semi-analytic mBLA method provides an accurate description
                      of UF concentration and flow profiles, on accounting for the
                      concentration dependence of dispersion transport properties
                      and osmotic pressure. The considered model dispersions
                      encompass impermeable and permeable hard spheres and
                      charge-stabilized particles. For hard-sphere dispersions,
                      the mBLA method is extended to the microfiltration regime
                      where shear-induced migration becomes important.},
      month         = {Jun},
      date          = {2022-06-12},
      organization  = {The 11th International Colloids
                       Conference, Lisbon (Portugal), 12 Jun
                       2022 - 15 Jun 2022},
      subtyp        = {After Call},
      cin          = {IBI-4},
      cid          = {I:(DE-Juel1)IBI-4-20200312},
      pnm          = {5241 - Molecular Information Processing in Cellular Systems
                      (POF4-524) / SFB 985 B06 - Kontinuierliche Trennung und
                      Aufkonzentrierung von Mikrogelen (B06) (221475706)},
      pid          = {G:(DE-HGF)POF4-5241 / G:(GEPRIS)221475706},
      typ          = {PUB:(DE-HGF)24},
      url          = {https://juser.fz-juelich.de/record/908178},
}