Mesoscopic electrohydrodynamic simulations of binary colloidal suspensions

Rivas, Nicolas; Frijters, Stefan; Pagonabarraga, Ignacio; Harting, Jens

doi:10.1063/1.5020377

Cited by 20 publications

(25 citation statements)

References 74 publications

(143 reference statements)

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“…The two solutions of v p given in Equation 28 correspond to the fast and slow P-waves. The fast P-wave can be easily measured in both the laboratory and the field, and it reflects the in-phase motion between the solid matrix and the pore fluid.…”

Section: Biot Equations Of Wave Velocities In Saturated Poroelastic Mmentioning

confidence: 99%

“…While conventional computational fluid dynamics (CFD) methods couple the drag forces on solid particles locally into the Navier-Stokes equations, 22 direct numerical simulation (DNS) techniques such as the lattice Boltzmann method (LBM) 23,24 resolve hydrodynamic interactions at the pore scale and maintain the momentum balance at no-slip fluid-solid interfaces. [25][26][27][28] Conventional CFD methods are sufficient for modeling dilute suspensions of particles in which local pore-scale fluid flow is not essential, whereas DNS techniques are better suited for fully/partially saturated dense granular media. Most DNS techniques (eg, coupled FEM-DEM) require adaptive remeshing around particles that move in the fluid, with high computational costs.…”

Section: Introductionmentioning

confidence: 99%

“…Depending on the spatial and temporal resolution of hydrodynamic interactions in the pore fluid, various fluid‐solid coupling methods have been proposed for dense or loose granular materials submerged in viscous fluids. While conventional computational fluid dynamics (CFD) methods couple the drag forces on solid particles locally into the Navier‐Stokes equations, direct numerical simulation (DNS) techniques such as the lattice Boltzmann method (LBM) resolve hydrodynamic interactions at the pore scale and maintain the momentum balance at no‐slip fluid‐solid interfaces . Conventional CFD methods are sufficient for modeling dilute suspensions of particles in which local pore‐scale fluid flow is not essential, whereas DNS techniques are better suited for fully/partially saturated dense granular media.…”

Section: Introductionmentioning

confidence: 99%

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Hydro‐micromechanical modeling of wave propagation in saturated granular crystals

Cheng

Luding

Rivas

et al. 2019

Num Anal Meth Geomechanics

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Summary Biot theory predicts wave velocities in a saturated granular medium using the pore geometry, viscosity, densities, and elastic moduli of the solid skeleton and pore fluid, neglecting the interaction between constituent particles and local flow, which becomes essential as the wavelength decreases. Here, a hydro‐micromechanical model, for direct numerical simulations of wave propagation in saturated granular media, is implemented by two‐way coupling the lattice Boltzmann method (LBM) and the discrete element method (DEM), which resolve the pore‐scale hydrodynamics and intergranular behavior, respectively. The coupling scheme is benchmarked with the terminal velocity of a single sphere settling in a fluid. In order to mimic a small amplitude pressure wave entering a saturated granular medium, an oscillating pressure boundary on the fluid is implemented and benchmarked with the one‐dimensional wave equation. The effects of input waveforms and frequencies on the dispersion relations in 3D saturated poroelastic media are investigated with granular face‐centered‐cubic crystals. Finally, the pressure and shear wave velocities predicted by the numerical model at various effective confining pressures are found to be in excellent agreement with Biot analytical solutions, including his prediction for slow compressional waves.

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Section: Biot Equations Of Wave Velocities In Saturated Poroelastic Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hydro‐micromechanical modeling of wave propagation in saturated granular crystals

Cheng

Luding

Rivas

et al. 2019

Num Anal Meth Geomechanics

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“…A lattice Boltzmann (LB) approach is used to model the fluid. This method recovers the solution of the Navier-Stokes equations, and it has provided significant results examining the rheological response of complex liquids [34][35][36][37][38][39].…”

Section: Colloidal Suspension Flowing Through a Narrow Channel (Lmentioning

confidence: 99%

Rheological behavior of colloidal suspension with long-range interactions

et al. 2018

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In this work, we study the constitutive behavior of interacting colloidal suspensions for moderate and high concentrations. Specifically, using a lattice Boltzmann solver, we numerically examine suspensions flowing through narrow channels, and explore the significance of the interaction potential strength on the system's macroscopic response. When only a short-range interaction potential is considered, a Newtonian behavior is always recovered and the system's effective viscosity mostly depends on the suspension concentration. However, when using a Lennard-Jones potential we identify two rheological responses depending on the interaction strength, the volume fraction, and the pressure drop. Exploiting a model proposed in the literature we rationalize the simulation data and propose scaling relations to identify the relevant energy scales involved in these transport processes. Moreover, we find that the spatial distribution of colloids in layers parallel to the flow direction does not correlate with changes in the system macroscopic response; but, interestingly, the rheology changes do correlate with the spatial distribution of colloids within individual layers. Namely, suspensions characterized by a Newtonian response display a cubiclike structure of the colloids within individual layers, whereas for suspensions with non-Newtonian response colloids organize in a hexagonal structure.

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“…This point of view has a number of advantages, such as strictly enforcing charge conservation in particular at solid-liquid boundaries, and offering a statistical interpretation which can be exploited to compute other properties such as velocity auto-correlation functions via moment propagation 47 . This hybrid LB/link-flux method, called Lattice Boltzmann Electrokinetics (LBE), has been successfully used to investigate the dynamics of charged colloids [48][49][50][51][52] , charged porous media and ions in oil-water mixtures 53 or binary colloidal suspensions 54 . In these systems, electrostatic boundary conditions at solid-liquid interfaces correspond to constant charge (Neumann, i.e.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann electrokinetics simulation of nanocapacitors

Asta

Palaia

Trizac

et al. 2019

The Journal of Chemical Physics

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We propose a method to model metallic surfaces in Lattice Boltzmann Electrokinetics simulations (LBE), a latticebased algorithm rooted in kinetic theory which captures the coupled solvent and ion dynamics in electrolyte solutions. This is achieved by a simple rule to impose electrostatic boundary conditions, in a consistent way with the location of the hydrodynamic interface for stick boundary conditions. The proposed method also provides the local charge induced on the electrode by the instantaneous distribution of ions under voltage. We validate it in the low voltage regime by comparison with analytical results in two model nanocapacitors: parallel plate and coaxial electrodes. We examine the steady-state ionic concentrations and electric potential profiles (and corresponding capacitance), the timedependent response of the charge on the electrodes, as well as the steady-state electro-osmotic profiles in the presence of an additional, tangential electric field. The LBE method further provides the time-dependence of these quantities, as illustrated on the electro-osmotic response. While we do not consider this case in the present work, which focuses on the validation of the method, the latter readily applies to large voltages between the electrodes, as well as to timedependent voltages. This work opens the way to the LBE simulation of more complex systems involving electrodes and metallic surfaces, such as sensing devices based on nanofluidic channels and nanotubes, or porous electrodes. arXiv:1907.04732v1 [physics.comp-ph]

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Mesoscopic electrohydrodynamic simulations of binary colloidal suspensions

Cited by 20 publications

References 74 publications

Hydro‐micromechanical modeling of wave propagation in saturated granular crystals

Hydro‐micromechanical modeling of wave propagation in saturated granular crystals

Rheological behavior of colloidal suspension with long-range interactions

Lattice Boltzmann electrokinetics simulation of nanocapacitors

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