Simulations of the start-up of shear flow of 2D particle suspensions in viscoelastic fluids: Structure formation and rheology

Jaensson, Nick O.; Hulsen, MA Martien; Anderson, Patrick Patrick

doi:10.1016/j.jnnfm.2015.09.006

Cited by 23 publications

(17 citation statements)

References 38 publications

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“…However, the IB methods scale well with either particle number or processor number (if parallel algorithms are employed). To the best of our knowledge, algorithms that involve remeshing have been limited to 10–20 particles, while the massively parallel IB algorithm recently have demonstrated calculations with hundreds of particles and nearly linear scaling with particle number. The important point is that to understand suspension mechanics, as is well known from particulate suspension simulations in Newtonian fluids; generally, many particles are required to make sure that the results are representative of a bulk suspension rather than simply characteristic of a finite particle cluster.…”

Section: Recent Discoveriesmentioning

confidence: 99%

On the rheology of particle suspensions in viscoelastic fluids

Shaqfeh

2019

AIChE Journal

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Section: Recent Discoveriesmentioning

confidence: 99%

On the rheology of particle suspensions in viscoelastic fluids

Shaqfeh

2019

AIChE Journal

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“…viscoelastic, and mathematically speaking, the incorporation of Newtonian lubrication would be inconsistent with the far-field hydrodynamic interactions. To solve this problem, some authors adopt the approach of grid refinement in the gap between approaching suspended spheres 19,20,26,27 . This bypasses the problem of introducing a "model" for short-range interactions as the fluid should be "everywhere resolved" according to the given constitutive equations.…”

Section: Short-range Inter-particle Forcesmentioning

confidence: 99%

“…Despite their great accuracy, these techniques are to date limited to small systems, i.e. in the order of hundreds of suspended discs in 2D 26 or few dozens of spheres in three-dimensional calculations 27 . In ALE approaches this is, from one hand, related to the need of frequent costly mesh generation when grid becomes too distorted during motion and, on the other one, to the request of local enrichment for numerical convergence in gaps between nearly touching particles.…”

Section: Introductionmentioning

confidence: 99%

SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix

Vázquez-Quesada

Ellero

2017

Physics of Fluids

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In this work, we extend the three-dimensional Smoothed Particle Hydrodynamics (SPH) non-colloidal particulate model previously developed for Newtonian suspending media in Vázquez-Quesada and Ellero [“Rheology and microstructure of non-colloidal suspensions under shear studied with smoothed particle hydrodynamics,” J. Non-Newtonian Fluid Mech. 233, 37–47 (2016)] to viscoelastic matrices. For the solvent medium, the coarse-grained SPH viscoelastic formulation proposed in Vázquez-Quesada, Ellero, and Español [“Smoothed particle hydrodynamic model for viscoelastic fluids with thermal fluctuations,” Phys. Rev. E 79, 056707 (2009)] is adopted. The property of this particular set of equations is that they are entirely derived within the general equation for non-equilibrium reversible-irreversible coupling formalism and therefore enjoy automatically thermodynamic consistency. The viscoelastic model is derived through a physical specification of a conformation-tensor-dependent entropy function for the fluid particles. In the simple case of suspended Hookean dumbbells, this delivers a specific SPH discretization of the Oldroyd-B constitutive equation. We validate the suspended particle model by studying the dynamics of single and mutually interacting “noncolloidal” rigid spheres under shear flow and in the presence of confinement. Numerical results agree well with available numerical and experimental data. It is straightforward to extend the particulate model to Brownian conditions and to more complex viscoelastic solvents.

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“…We have therefore designed an algorithm that generates surfaces that curve around the bubbles. The algorithm is based on an approach used in Jaensson et al (2015), where a convectiondiffusion problem is solved for the nodes on the outer curves of a 2D mesh to obtain smooth boundaries that do not intersect particles. We start the mesh generation by finding the corner points of the mesh.…”

Section: Mesh Generationmentioning

confidence: 99%

“…This ensures that nodes are "pushedout" of the bubbles, but not into adjacent bubbles. Similar to Jaensson et al (2015), a tanh-function is employed to determine the magnitude of u a . Equation 48 is integrated in time using an explicit Euler scheme.…”

Section: Mesh Generationmentioning

confidence: 99%

Direct numerical simulation of a bubble suspension in small amplitude oscillatory shear flow

2017

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Bubble suspensions can be found in many different fields and studying their rheology is crucial in order to improve manufacturing processes. When bubbles are added to a liquid, the magnitude of the viscosity changes and the behavior of the material is modified, giving it viscoelastic properties. For the purpose of this work, the suspended bubbles are considered to be monodisperse. It is assumed that Brownian motion and inertia can be neglected and that the fluid of the matrix is Newtonian and incompressible. The suspension is subject to an oscillatory strain while remaining in the linear regime. The resulting equations are solved in 3D with direct numerical simulation using a finite element discretization. Results of an ordered and random distribution of bubbles of volume fractions up to 40% are presented. The presence of bubbles has an opposite effect on the rheology of the suspension depending on the applied frequency. When the frequency is low, bubbles act as rigid fillers giving a rise to viscosity. On the contrary, when the frequency is high, the strain rate is being accommodated by the gaseous phase. Hence, bubbles deform, leading to a decrease of the viscosity.

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Simulations of the start-up of shear flow of 2D particle suspensions in viscoelastic fluids: Structure formation and rheology

Cited by 23 publications

References 38 publications

On the rheology of particle suspensions in viscoelastic fluids

On the rheology of particle suspensions in viscoelastic fluids

SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix

Direct numerical simulation of a bubble suspension in small amplitude oscillatory shear flow

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