Micro-hydrodynamics of immiscible displacement inside two-dimensional porous media

Wolf, Fabiano G.; Santos, Luís Orlando Emerich dos; Philippi, Paulo C.

doi:10.1007/s10404-007-0183-2

Cited by 14 publications

(6 citation statements)

References 33 publications

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“…It uses the concept of field mediators [24,21,17,37] to take the effect of attractive long-range interactions between the particles and the solid walls into account. The role of the field mediators is to intermediate the long-range interactions among the particles located on a discrete lattice, in such a way that the information on the field from the neighborhood sites is found locally at each site on the lattice.…”

Section: Long-range Attractive Forces Between Fluid and Solid Particlesmentioning

confidence: 99%

Capillary rise between parallel plates under dynamic conditions

Wolf

Santos

Philippi

2010

Journal of Colloid and Interface Science

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A Lattice-Boltzmann method based on field mediators is proposed to simulate the capillary rise between parallel plates by considering the effect of long-range interactions between the fluids and the solid walls. As a starting point, a liquid-vapor system was employed, which was modeled using a known model described in the literature. The simulations were compared with theoretical solutions of the Bosanquet equation. The results obtained are in good agreement with theoretical predictions, particularly when the dependence between the dynamic contact angle and the capillary number is taken into account. This dependence shows that on smooth and homogeneous solid surfaces, where pinning effects in the contact line are weak, the dynamic contact angle is linearly dependent on the capillary number, in good agreement with theoretical and experimental results available in the literature. Some discrepancies were observed in the first stages of the capillary rise when the distance between the parallel plates is large, considering the high complexity involved in predicting the initial meniscus formation. The results presented in this work appear to indicate that the inclusion of long-range forces does not change significantly the fluid flow dynamics at the mesoscopic level, at least, when ideally flat and homogeneous solid surfaces are used in the simulations.

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Section: Long-range Attractive Forces Between Fluid and Solid Particlesmentioning

confidence: 99%

Capillary rise between parallel plates under dynamic conditions

Wolf

Santos

Philippi

2010

Journal of Colloid and Interface Science

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“…Santos et al [38] applied the LB model to investigate the liquid junction potential at the interface between two electrolyte layers and the LB solutions were validated against the results of analytical and finite difference method for the evolution of concentration, net charge density and electrostatic potential. Santos et al have applied the LB model to more fields [39][40][41][42][43][44][45][46][47]. In summary, for the optimization of the design and the operating condition of microfluidic two-phase flow systems, the ability to predict flow patterns [22,23,48] and to simulate surface tension effects [49][50][51] is significant.…”

Section: Introductionmentioning

confidence: 96%

Numerical simulation of immiscible liquid-liquid flow in microchannels using lattice Boltzmann method

et al. 2011

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Immiscible kerosene-water two-phase flows in microchannels connected by a T-junction were numerically studied by a Lattice Boltzmann (LB) method based on field mediators. The two-phase flow lattice Boltzmann model was first validated and improved by several test cases of a still droplet. The five distinct flow regimes of the kerosene-water system, previously identified in the experiments from Zhao et al., were reproduced. The quantitative and qualitative agreement between the simulations and the experimental data show the effectiveness of the numerical method. The roles of the interfacial tension and contact angle on the flow patterns and shapes of droplets were discussed and highlighted according to the numerical results based on the improved two-phase LB model. This work demonstrated that the developed LBM simulator is a viable tool to study immiscible two-phase flows in microchannels, and such a tool could provide tangible guidance for the design of various microfluidic devices that involve immiscible multi-phase flows.lattice Boltzmann method, immiscible two-phase flow, numerical simulation, microchannel, kerosene-water system

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“…Santos et al [45] have proposed a field mediator's concept to the framework of the lattice-Boltzmann equation for simulating the flow of immiscible fluids which reduces computer processing. The method has been extended and applied for study via wetting in liquid-vapor systems [46] and capillary rise between parallel plates [47].…”

Section: Introductionmentioning

confidence: 99%

Thin liquid film flow over substrates with two topographical features

Mazloomi

Moosavi²

2013

Phys. Rev. E

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A multicomponent lattice Boltzmann scheme is used to investigate the surface coating of substrates with two topographical features by a gravity-driven thin liquid film. The considered topographies are U- and V-shaped grooves and mounds. For the case of substrates with two grooves, our results indicate that for each of the grooves there is a critical width such that if the groove width is larger than the critical width, the groove can be coated successfully. The critical width of each groove depends on the capillary number, the contact angle, the geometry, and the depth of that groove. The second groove critical width depends on, in addition, the geometry and the depth of the first groove; for two grooves with the same geometries and depths, it is at least equal to that of the first groove. If the second groove width lies between the critical widths, the second groove still can be coated successfully on the condition that the distance between the grooves is considered larger than a critical distance. For considered contact angles and capillary numbers our results indicate that the critical distance is a convex function of the capillary number and the contact angle. Our study also reveals similar results for the case of substrates with a mound and a groove.

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Micro-hydrodynamics of immiscible displacement inside two-dimensional porous media

Cited by 14 publications

References 33 publications

Capillary rise between parallel plates under dynamic conditions

Capillary rise between parallel plates under dynamic conditions

Numerical simulation of immiscible liquid-liquid flow in microchannels using lattice Boltzmann method

Thin liquid film flow over substrates with two topographical features

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