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@INPROCEEDINGS{Park:909889,
      author       = {Park, Gunwoo and Naegele, Gerhard},
      title        = {{T}he effect of shear-induced migration on crossflow
                      filtration of colloids},
      reportid     = {FZJ-2022-03497},
      year         = {2022},
      abstract     = {Membrane crossflow filtration is widely used for the
                      enrichment and purification of colloidal and protein
                      dispersions. In this pressure-driven process, a feed
                      dispersion is steadily pumped through a channel consisting
                      of solvent-permeable membrane walls. The applied
                      transmembrane pressure (TMP) causes advection of the
                      dispersion toward the membrane, and formation of a
                      particle-enriched diffuse layer near its surface. This
                      so-called concentration polarization (CP) layer increases
                      the osmotic particle pressure counteracting the TMP. When
                      the particle concentration reaches a solidification limit,
                      an immobilized particulate layer, termed cake layer, is
                      formed next to the membrane surface. The cake layer adds to
                      the hydraulic membrane resistance and lowers thus the
                      filtration efficiency. A key problem is to understand
                      quantitatively how cake formation is related to filtration
                      operating conditions, and to dispersion and membrane
                      properties. In this study, we theoretically analyze how
                      permeate flux and cake layer formation are influenced by the
                      size, charge and feed concentration of dispersed particles
                      [1]. We consider dispersions of neutral and
                      charge-stabilized colloidal particles. Under conditions
                      where shear-induced migration matters, empirical expressions
                      for shear-rate dependent transport properties are used. Our
                      results for concentration and flow profiles under filtration
                      are obtained using a recently developed modified boundary
                      layer approximation (mBLA) method [2, 3]. The mBLA is a
                      numerically efficient and accurate method for predicting
                      filtration properties. A thorough dicussion of the so-called
                      critical permeate flux related to the onset of cake layer
                      formation is presented. Moreover, an analytic expression for
                      the critical flux is derived and compared with standard
                      predictions by film theory and mass transfer coefficient
                      calculations. References[1] G. W. Park, J. K. G. Dhont, and
                      G. Nägele, manuscript in preparation.[2] G. W. Park and G.
                      Nägele, Journal of Chemical Physics, 2020, 153, 204110[3]
                      G. W. Park and G. Nägele, Membranes, 2021, 11, 960},
      month         = {Sep},
      date          = {2022-09-19},
      organization  = {International Soft Matter Conference
                       2022, Poznan (Poland), 19 Sep 2022 - 23
                       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)6},
      url          = {https://juser.fz-juelich.de/record/909889},
}