Transport and adsorption under liquid flow: the role of pore geometry

Vanson, Jean-Mathieu; Boutin, Anne; Klotz, Michaela; Coudert, François‐Xavier

doi:10.1039/c6sm02414a

Cited by 32 publications

(25 citation statements)

References 57 publications

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“…However, in the last decade, suitable model Boltzmann equations, living in discrete phase-space, have proven capable of incorporating the basic features which control the physics of multi-phase flows, namely a non-ideal equation of state, surface tension and disjoining pressure 7,[9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] . Some of the models or improved versions thereof, have been successfully used in the simulation of complex fluids such as polymers 24 , soft glassy materials 25 , liquid crystals 26,27 , and porous materials 28,29 . With the help of those LB multiphase models, a wide variety of multiphase problems, including wetting [30][31][32] , droplet dynamic and evaporation [33][34][35] , phase transition 9,17,36,37 , hydrodynamic instability 21 , etc., have been successfully simulated and investigated.…”

Section: Introductionmentioning

confidence: 99%

Entropy production in thermal phase separation: a kinetic-theory approach

Zhang

et al. 2019

Soft Matter

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Entropy production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The entropy production rate is found to increase during the spinodal decomposition stage and to decrease during the domain growth stage, attaining its maximum at the crossover between the two. Such behaviour provides a natural criterion to identify and discriminate between the two regimes. Furthermore, the effects of heat conductivity, viscosity and surface tension on the entropy production rate are investigated by systematically probing the interplay between non-equilibrium energy and momentum fluxes. It is found that the entropy production rate due to energy fluxes is an increasing function of the Prandtl number, while the momentum fluxes exhibit an opposite trend. On the other hand, both contributions show an increasing trend with surface tension. The present analysis inscribes within the general framework of non-equilibrium thermodynamics and consequently it is expected to be relevant to a broad class of soft-flowing systems far from mechanical and thermal equilibrium.

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Section: Introductionmentioning

confidence: 99%

Entropy production in thermal phase separation: a kinetic-theory approach

Zhang

et al. 2019

Soft Matter

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“…Several descriptions and extensions of this method have since been proposed for various applications, see e.g. [33,35,36,[43][44][45][46]. In the present work, we show that this method can be used for charged mobile (hence experiencing diffusion, advection and migration) and adsorbing/desorbing species -a combination of features which had to date not been investigated previously despite its relevance in the many contexts described in the introduction.…”

Section: Moment Propagationmentioning

confidence: 60%

Moment propagation method for the dynamics of charged adsorbing/desorbing species at solid-liquid interfaces

2018

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We extend the Moment Propagation method to capture the combined effects of adsorption/desorption of charged tracers, their migration under local and applied electric fields, as well as their advection by the local velocity of the fluid. This is achieved by combining previous developments for the separate description of these phenomena, in particular taking advantage of the Lattice Boltzmann Electrokinetics method to capture electrokinetic effects in the underlying fluid. We validate the method on the case of dispersion by an electro-osmotic flow in a slit-pore with charged walls and counterions in the absence of added salt. We compute the velocity auto-correlation function of charged and neutral tracers, from which we extract their average mobility and dispersion coefficient. Analytical results for the former allow to validate the algorithm, while the latter illustrates an example of property which can be provided by the Moment Propagation method when no analytical results are available. For both properties, we discuss the combined effects of the surface charge, of the tracer valency and of the adsorption/desorption rates.

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“…The pore structure and morphology at different scales affect the flow and transport properties. Variations in pore connectivity and tortuosity at the microscale may result in complex flow and transport behaviors [5,6]. Permeability and hydraulic conductivity are the characteristics most affected by the internal structure of the pores.…”

Section: Introductionmentioning

confidence: 99%

“…The heterogeneity of the pore structure at the microscale increases the complexity and tortuosity resulting in complicated and anomalous transport behaviors [5,6]. A numerical simulation of diffusion in virtual porous media generated using the Boolean model showed that pore geometry affects the diffusion properties and non-Fickian behavior occurs at the continuum scale [16].…”

Section: Introductionmentioning

confidence: 99%

Pore-network model to quantify internal structure and hydraulic characteristics of randomly packed grains with different morphologies

Xiong

Long

et al. 2021

Granular Matter

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The flow and transport in porous media are highly dependent on the internal structure and morphology of the pore space. The pore structure is determined by the size and geometrical shape of the solid particles, as well as their distribution and arrangement. In this study, the effect of grains surface morphology on the internal pore structure as well as the flow and transport properties of porous media were quantitatively analyzed using the pore-network approach, with angular quartz sand and round glass beads used as the test substrates. The surface morphology of the grains was visualized through scanning electron microscopy and quantified by Fourier morphological analysis. The pore structure of randomly packed quartz sand and glass beads was visualized using X-ray computed tomography and quantified using the network parameters. The surface morphology of grains with different angularities was distinguished by the shape and angularity parameters calculated from the Fourier representations. The network parameters, including mean coordination numbers, mean pore-body radii, and mean pore-throat radii, of randomly packed angular sand were larger than those of round beads within the same sieving size range. The intrinsic permeability and longitudinal dispersivity in the vertical direction were smaller than those in the horizontal direction, which indicates anisotropic compaction. The intrinsic permeability nonlinearly (power-law) varied with the pore and throat radii of the different extracted networks. The relation between intrinsic permeability and porosity of anisotropic porous media with different grain morphologies followed the Kozeny-Carman equations. Breakthrough curves in the representative elementary volumes of angular sand and round beads exhibited Fickian behavior. The longitudinal dispersivity decreased with an increase in the coordination number regardless of the grain morphology.

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Transport and adsorption under liquid flow: the role of pore geometry

Cited by 32 publications

References 57 publications

Entropy production in thermal phase separation: a kinetic-theory approach

Entropy production in thermal phase separation: a kinetic-theory approach

Moment propagation method for the dynamics of charged adsorbing/desorbing species at solid-liquid interfaces

Pore-network model to quantify internal structure and hydraulic characteristics of randomly packed grains with different morphologies

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