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@ARTICLE{Dhont:13065,
      author       = {Dhont, J.K.G. and Kang, K. and Lettinga, M.P. and Briels,
                      W.J.},
      title        = {{S}hear-banding instabilities},
      journal      = {Korea-Australia rheology journal},
      volume       = {22},
      issn         = {1226-119X},
      address      = {Berlin},
      publisher    = {Springer},
      reportid     = {PreJuSER-13065},
      pages        = {291 - 308},
      year         = {2010},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {Gradient-banding and vorticity-banding instabilities, as
                      well as a shear-induced instability due to shear-gradient
                      induced mass transport will be discussed. Various scenarios
                      that underly these instabilities are addressed and simple
                      constitutive relations that allow for a (semi-) quantitative
                      analysis are proposed. A relatively simple constitutive
                      equation that has been proposed some time ago is reviewed,
                      which captures a number of the experimentally observed
                      gradient-banding phenomena. This constitutive equation is
                      based on the usual formal expansion of the stress tensor
                      with respect to gradients in the flow velocity, but now
                      including the second order term. The second order term is
                      necessary to describe the relatively large spatial gradients
                      within the interface between the two bands. The resulting
                      simple constitutive equation is shown to give rise to
                      stationary gradient-banded states, where the shear rates
                      within the bands are constant, it describes stress selection
                      under controlled rate conditions and explains why banding
                      can not occur under controlled stress conditions. The simple
                      constitutive equation does not include coupling to
                      concentration, which may give rise to banding also under
                      controlled stress conditions. Two examples of mechanisms
                      that lead to the strong shear thinning that is necessary for
                      gradient banding are discussed: (i) transient forces due to
                      entanglements in polymer systems, and (ii) critical slowing
                      down. The latter mechanism is shown to be important for a
                      worm-like micellar system. The mechanism that leads to
                      vorticity banding is still under debate. Vorticity banding
                      of fd-virus suspensions within the two-phase
                      isotropic-nematic coexistence will be discussed. Experiments
                      on the kinetics of banding and particle-tracking experiments
                      lead to a recently proposed mechanism for the
                      vorticity-banding instability, where the instability is
                      identified as an elastic instability similar to the
                      polymer-Weissenberg effect. The role of polymer chains in
                      the classic Weissenberg effect is now played by
                      inhomogeneities formed during the initial stages of phase
                      separation. For other systems than fd-virus suspensions that
                      exhibit vorticity banding, the inhomogeneities general have
                      a different origin, like in weakly aggregated colloids and
                      worm-like micellar systems where the inhomogeneities are the
                      colloidal aggregates and the worms, respectively. An
                      instability that has been discovered some time ago, which is
                      an instability due to shear-gradient induced mass transport
                      is also discussed. The coupling between shear-gradients and
                      mass transport has been formally introduced through a
                      shear-rate dependent chemical potential, of which the
                      microscopic origin was not explained. It will be shown that
                      the microscopic origin of this coupling is related to the
                      shear-induced distortion of the pair-correlation function.
                      Contrary to the stationary gradient-banded and
                      vorticity-banded state, it is not yet known what the
                      stationary state is when this shear-concentration-coupling
                      instability occurs.},
      keywords     = {J (WoSType)},
      cin          = {ICS-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)ICS-3-20110106},
      pnm          = {BioSoft: Makromolekulare Systeme und biologische
                      Informationsverarbeitung (FUEK505) / 450 - BioSoft
                      (POF2-400)},
      pid          = {G:(DE-Juel1)FUEK505 / G:(DE-HGF)POF2-450},
      shelfmark    = {Mechanics / Polymer Science},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000285982000007},
      url          = {https://juser.fz-juelich.de/record/13065},
}