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@ARTICLE{Jin:848388,
      author       = {Jin, H. and Kang, K. and Ahn, K. H. and Briels, Willem and
                      Dhont, J. K. G.},
      title        = {{N}on-local stresses in highly non-uniformly flowing
                      suspensions: {T}he shear-curvature viscosity},
      journal      = {The journal of chemical physics},
      volume       = {149},
      number       = {1},
      issn         = {0021-9606},
      address      = {Woodbury, NY},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2018-03629},
      pages        = {014903},
      year         = {2018},
      abstract     = {For highly non-uniformly flowing fluids, there are
                      contributions to the stress related to spatial variations of
                      the shear rate, which are commonly referred to as non-local
                      stresses. The standard expression for the shear stress,
                      which states that the shear stress is proportional to the
                      shear rate, is based on a formal expansion of the stress
                      tensor with respect to spatial gradients in the flow
                      velocity up to leading order. Such a leading order expansion
                      is not able to describe fluids with very rapid spatial
                      variations of the shear rate, like in micro-fluidics devices
                      and in shear-banding suspensions. Spatial derivatives of the
                      shear rate then significantly contribute to the stress. Such
                      non-local stresses have so far been introduced on a
                      phenomenological level. In particular, a formal gradient
                      expansion of the stress tensor beyond the above mentioned
                      leading order contribution leads to a phenomenological
                      formulation of non-local stresses in terms of the so-called
                      “shear-curvature viscosity”. We derive an expression for
                      the shear-curvature viscosity for dilute suspensions of
                      spherical colloids and propose an effective-medium approach
                      to extend this result to concentrated suspensions. The
                      validity of the effective-medium prediction is confirmed by
                      Brownian dynamics simulations on highly non-uniformly
                      flowing fluids.},
      cin          = {ICS-3},
      ddc          = {540},
      cid          = {I:(DE-Juel1)ICS-3-20110106},
      pnm          = {551 - Functional Macromolecules and Complexes (POF3-551)},
      pid          = {G:(DE-HGF)POF3-551},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:29981556},
      UT           = {WOS:000437708900028},
      doi          = {10.1063/1.5035268},
      url          = {https://juser.fz-juelich.de/record/848388},
}