@article{Papenkort2014-04-28Chann-27694,
  year={2014},
  doi={10.1063/1.4872219},
  title={Channel flow of a tensorial shear-thinning Maxwell model : Lattice Boltzmann simulations},
  number={16},
  volume={140},
  issn={0021-9606},
  journal={The Journal of Chemical Physics},
  author={Papenkort, Simon and Voigtmann, Thomas},
  note={Article Number: 164507}
}

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    <dcterms:abstract xml:lang="eng">We discuss pressure-driven channel flow for a model of shear-thinning glass-forming fluids, employing a modified lattice-Boltzmann (LB) simulation scheme. The model is motivated by a recent microscopic approach to the nonlinear rheology of colloidal suspensions and captures a nonvanishing dynamical yield stress and the appearance of normal-stress differences and a flow-induced pressure contribution. The standard LB algorithm is extended to deal with tensorial, nonlinear constitutive equations of this class. The new LB scheme is tested in 2D pressure-driven channel flow and reproduces the analytical steady-state solution. The transient dynamics after startup and removal of the pressure gradient reproduce a finite stopping time for the cessation flow of yield-stress fluids in agreement with previous analytical estimates.</dcterms:abstract>
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