Channel flow of a tensorial shear-thinning Maxwell model: Lattice Boltzmann simulations

Papenkort, Simon; Voigtmann, Thomas

doi:10.1063/1.4872219

Cited by 14 publications

(18 citation statements)

References 72 publications

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“…This supports the use of schematic models within MCT-ITT, where spatial correlations are neglected and the derivation of constitutive equations from them, like the upper-convected Maxwell model with shear thinning [43] as used first by White and Metzner [44]. The latter approach to constitutive equations via the intermediate step of schematic models was recently generalized to tensorial and time-dependent flows [15] and applied to channel flow [45].…”

Section: Discussionmentioning

confidence: 86%

Nonlinear rheology of glass-forming colloidal dispersions: transient stress–strain relations from anisotropic mode coupling theory and thermosensitive microgels

Amann

Siebenbürger

Ballauff

et al. 2015

J. Phys.: Condens. Matter

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Transient stress-strain relations close to the colloidal glass transition are obtained within the integration through transients framework generalizing mode coupling theory to flow driven systems. Results from large-scale numerical calculations are quantitatively compared to experiments on thermosensitive microgels, which reveals that theory captures the magnitudes of stresses semi-quantitatively even in the nonlinear regime, but overestimates the characteristic strain where plastic events set in. The former conclusion can also be drawn from flow curves, while the latter conclusion is supported by a comparison to single particle motion measured by confocal microscopy. The qualitative picture, as previously obtained from simplifications of the theory in schematic models, is recovered by the quantitative solutions of the theory for Brownian hard spheres.

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Section: Discussionmentioning

confidence: 86%

Nonlinear rheology of glass-forming colloidal dispersions: transient stress–strain relations from anisotropic mode coupling theory and thermosensitive microgels

Amann

Siebenbürger

Ballauff

et al. 2015

J. Phys.: Condens. Matter

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“…For the justification of this LB scheme, we refer to Ref. 8, where a standard Chapman-Enskog expansion was used to demonstrate that the continuum limit of our scheme is indeed the Navier-Stokes equation supplemented with a non-Newtonian stress contribution. For the application to planar channel flow considered below, we assume the flow to remain translational invariant for computational efficency.…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

“…III, we briefly describe the LB algorithm based on Ref. 8 and our integral solver. Section IV presents results for pressure-driven channel flow, followed by a concluding Sec.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulations of a viscoelastic shear-thinning fluid

Papenkort

Voigtmann

2015

The Journal of Chemical Physics

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We present a hybrid lattice Boltzmann algorithm for the simulation of flow glass-forming fluids, characterized by slow structural relaxation, at the level of the Navier-Stokes equation. The fluid is described in terms of a nonlinear integral constitutive equation, relating the stress tensor locally to the history of flow. As an application, we present results for an integral nonlinear Maxwell model that combines the effects of (linear) viscoelasticity and (nonlinear) shear thinning. We discuss the transient dynamics of velocities, shear stresses, and normal stress differences in planar pressure-driven channel flow, after switching on (startup) and off (cessation) of the driving pressure. This transient dynamics depends nontrivially on the channel width due to an interplay between hydrodynamic momentum diffusion and slow structural relaxation.

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“…Their response to inhomogeneous stress fields is, however, not well studied. The main focus has so far been on studying the response to spatially uniform stress fields [3][4][5][6][7][8][9].…”

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confidence: 99%

Poiseuille flow of soft glasses in narrow channels: From quiescence to steady state

Chaudhuri

Horbach

2014

Phys. Rev. E

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Using numerical simulations, the onset of Poiseuille flow in a confined soft glass is investigated. Starting from the quiescent state, steady flow sets in at a timescale which increases with decrease in applied forcing. At this onset timescale, a rapid transition occurs via the simultaneous fluidisation of regions having different local stresses. In the absence of steady flow at long times, creep is observed even in regions where the local stress is larger than the bulk yielding threshold. Finally, we show that the timescale to attain steady flow depends strongly on the history of the initial state.

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Channel flow of a tensorial shear-thinning Maxwell model: Lattice Boltzmann simulations

Cited by 14 publications

References 72 publications

Nonlinear rheology of glass-forming colloidal dispersions: transient stress–strain relations from anisotropic mode coupling theory and thermosensitive microgels

Nonlinear rheology of glass-forming colloidal dispersions: transient stress–strain relations from anisotropic mode coupling theory and thermosensitive microgels

Lattice Boltzmann simulations of a viscoelastic shear-thinning fluid

Poiseuille flow of soft glasses in narrow channels: From quiescence to steady state

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