Channel Flow of a Tensorial Shear-Thinning Maxwell Model: Lattice Boltzmann Simulations
arXiv:1310.7450 · doi:10.1063/1.4872219
Abstract
We introduce a nonlinear generalized tensorial Maxwell-type constitutive equation to describe shear-thinning glass-forming fluids, motivated by a recent microscopic approach to the nonlinear rheology of colloidal suspensions. The model captures a nonvanishing dynamical yield stress at the glass transition and incorporates normal-stress differences. A modified lattice-Boltzmann (LB) simulation scheme is presented that includes non-Newtonian contributions to the stress tensor and deals with flow-induced pressure differences. We test this scheme in pressure-driven 2D Poiseuille flow of the nonlinear generalized Maxwell fluid. In the steady state, comparison with an analytical solution shows good agreement. The transient dynamics after startup and cessation of the pressure gradient are studied; the simulation reproduces a finite stopping time for the cessation flow of the yield-stress fluid in agreement with previous analytical estimates.
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Cited by in corpus (4)
- Coarse-Grained Modelling Out of Equilibrium
- Poiseuille flow of soft glasses in narrow channels: From quiescence to steady state
- Stress-structure relation in dense colloidal melt under forward and instantaneous reversal of shear
- Understanding the approximations of mode-coupling theory for sheared steady states of colloids