Lattice Boltzmann simulations of drop deformation and breakup in shear flow

Komrakova, Alexandra; Shardt, Orest; Eskin, Dmitry; Derksen, J. J.

doi:10.1016/j.ijmultiphaseflow.2013.10.009

Cited by 92 publications

(78 citation statements)

References 38 publications

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“…This is an important test for our numerical simulations: LBM modelling of two phase flows is intrinsically a diffuse interface method and involves a finite thickness of the interface between the two liquids and related model parameters. The values of the interface thickness and capillary number need to be larger than the one suggested by physical considerations in order to make the simulations affordable (Komrakova et al 2013;Magaletti et al 2013). Nevertheless, the structure and the dynamical properties of the emulsion droplets that we reproduce in the numerical simulations share nontrivial features with the experiments Goyon, Colin & Bocquet 2010;Mansard, Bocquet & Colin 2014).…”

Section: (B 2)mentioning

confidence: 87%

Two-dimensional plastic flow of foams and emulsions in a channel: experiments and lattice Boltzmann simulations

2015

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International audienceIn order to understand the flow profiles of complex fluids, a crucial issue concerns the emergence of spatial correlations among plastic rearrangements exhibiting cooperativity flow behaviour at the macroscopic level. In this paper, the rate of plastic events in a Poiseuille flow is experimen-tally measured on a confined foam in a Hele-Shaw geometry. The correlation with independently measured velocity profiles is quantified by looking at the relationship between the localisation length of the velocity profiles and the localisation length of the spatial distribution of plastic events. To complement the cooperativity mechanisms studied in foam with those of other soft-glassy systems, we compare the experiments with simulations of dense emulsions based on the lattice Boltzmann method, which are performed both with, and without, wall friction. Finally, unprecedented results on the distribution of the orientation of plastic events show that there is a non-trivial correlation with the underlying local shear strain. These features, not previously re-ported for a confined foam, lend further support to the idea that cooperativity mechanisms, orig-inally invoked for concentrated emulsions (Goyon et al. 2008), have parallels in the behaviour of other soft-glassy materials

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Section: (B 2)mentioning

confidence: 87%

Two-dimensional plastic flow of foams and emulsions in a channel: experiments and lattice Boltzmann simulations

2015

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“…LBM have already been used to model droplet deformation problems [51][52][53][54] and also viscoelastic flows [55][56][57]. The novelty we offer from the methodological point of view is the exploration of regimes and situations which have not been explored so far in the literature.…”

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

Deformation and breakup of viscoelastic droplets in confined shear flow

Gupta

Sbragaglia

2014

Phys. Rev. E

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The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model two immiscible fluids with variable viscous ratio, and the latter used to model the polymer dynamics. The kinetics of the polymers is introduced using constitutive equations for viscoelastic fluids with finitely extensible non-linear elastic dumbbells with Peterlin's closure (FENE-P).We quantify the droplet response by changing the polymer relaxation time τ P , the maximum extensibility L of the polymers, and the degree of confinement, i.e. the ratio of the droplet diameter to wall separation. In unconfined shear flow, the effects of droplet viscoelasticity on the critical Capillary number Ca cr for breakup are moderate in all cases studied. However, in confined conditions a different behaviour is observed: the critical Capillary number of a viscoelastic droplet increases or decreases, depending on the maximum elongation of the polymers, the latter affecting the extensional viscosity of the polymeric solution. Force balance is monitored in the numerical simulations to validate the physical picture.

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“…Here we have shown the capability of the model to study drop breakup in electric fields; further studies could quantify the effects of ion distributions at different concentration limits, providing information unreachable by previous numerical methods which assume all charges to be at the interface [55]. Future quantitative studies should also take into account the known dependency of the degree of deformation and breakup with the grid resolution [56].…”

Section: Neutral Electrolyte Dropletsmentioning

confidence: 88%

Mesoscopic electrohydrodynamic simulations of binary colloidal suspensions

Rivas

Frijters

Pagonabarraga

et al. 2018

The Journal of Chemical Physics

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A model is presented for the solution of electrokinetic phenomena of colloidal suspensions in fluid mixtures. We solve the discrete Boltzmann equation with a Bhatnagar-Gross-Krook collision operator using the lattice Boltzmann method to simulate binary fluid flows. Solvent-solvent and solvent-solute interactions are implemented using a pseudopotential model. The Nernst-Planck equation, describing the kinetics of dissolved ion species, is solved using a finite difference discretization based on the link-flux method. The colloids are resolved on the lattice and coupled to the hydrodynamics and electrokinetics through appropriate boundary conditions. We present the first full integration of these three elements. The model is validated by comparing with known analytic solutions of ionic distributions at fluid interfaces, dielectric droplet deformations, and the electrophoretic mobility of colloidal suspensions. Its possibilities are explored by considering various physical systems, such as breakup of charged and neutral droplets and colloidal dynamics at either planar or spherical fluid interfaces.

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Lattice Boltzmann simulations of drop deformation and breakup in shear flow

Cited by 92 publications

References 38 publications

Two-dimensional plastic flow of foams and emulsions in a channel: experiments and lattice Boltzmann simulations

Two-dimensional plastic flow of foams and emulsions in a channel: experiments and lattice Boltzmann simulations

Deformation and breakup of viscoelastic droplets in confined shear flow

Mesoscopic electrohydrodynamic simulations of binary colloidal suspensions

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