Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: A lattice Boltzmann model for large density and viscosity ratios

Fakhari, Abbas; Bolster, Diogo

doi:10.1016/j.jcp.2017.01.025

Cited by 141 publications

(95 citation statements)

References 78 publications

(128 reference statements)

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“…[47], there exists several treatments in terms of surface tension force, which could give rise to different performances. To reduce the spurious velocity, in this work we choose the widely used the potential form F s = µ∇φ [17,40,43],…”

Section: Governing Equationsmentioning

confidence: 99%

Axisymmetric lattice Boltzmann model for multiphase flows with large density ratio

Liang

Yang

Chen

et al. 2019

International Journal of Heat and Mass Transfer

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In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of the model is that it enables to handle multiphase flows with large density ratio, which are unavailable in all previous axisymmetric LB models. The present model utilizes two LB evolution equations, one of which is used to solve fluid interface, and another is adopted to solve hydrodynamic properties. To simulate axisymmetric multiphase flows effectively, the appropriate source term and equilibrium distribution function are introduced into the LB equation for interface tracking, and simultaneously, a simple and efficient forcing distribution function is also delicately designed in the LB equation for hydrodynamic properties. Unlike many existing LB models, the source and forcing terms of the model arising from the axisymmetric effect include no additional gradients, and consequently, the present model contains only one non-local phase field variable, which in * Corresponding author. this regard is much simpler. In addition, to enhance the model's numerical stability, an advanced multiple-relaxation-time (MRT) model is also applied for the collision operator. We further conducted the Chapman-Enskog analysis to demonstrate the consistencies of our present MRT-LB model with the axisymmetric Allen-Cahn equation and hydrodynamic equations. A series of numerical examples, including static droplet, oscillation of a viscous droplet, breakup of a liquid thread, and bubble rising in a continuous phase, are used to test the performance of the proposed model. It is found that the present model can generate relatively small spurious velocities and can capture interfacial dynamics with higher accuracy than the previously improved axisymmetric LB model. Besides, it is also found that our present numerical results show excellent agreement with analytical solutions or available experimental data for a wide range of density ratios, which highlights the strengths of the proposed model.

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Section: Governing Equationsmentioning

confidence: 99%

Axisymmetric lattice Boltzmann model for multiphase flows with large density ratio

Liang

Yang

Chen

et al. 2019

International Journal of Heat and Mass Transfer

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“…This simplest boundary condition is usually employed in applications (e.g., Refs. [7][8][9][10][11] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Dependence of the surface tension and contact angle on the temperature, as described by the diffuse-interface model

Benilov

2020

Phys. Rev. E

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Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid near a solid wall must have a certain density ρ0 depending on the solid's properties. Unlike previous derivations, the one presented here is based on the same physics as the DIM itself and does not require additional assumptions. Second, asymptotic estimates are used to check a conjecture lying at the foundation of the DIM, as well as all other models of contact lines: that liquid-vapor interfaces are nearly isothermal. It turns out that, for water, they are not -although, for a more viscous fluid, they can be. The non-isothermaility occurs locally, near the interface, but can still affect the contactline dynamics. Third, the DIM coupled with a realistic equation of state for water is used to compute the dependence of the surface tension σ on the temperature T , which agrees well with the empiric σ(T ). Fourth, the same framework is used to compute the static contact angle of a watervapor interface. It is shown that, with increasing temperature, the contact angle becomes either 180 • (perfect hydrophobicity) or 0 • (perfect hydrophilicity), depending on whether ρ0 matches the density of saturated vapor or liquid, respectively. Such behavior presumably occurs in all fluids, not just water, and for all sufficiently strong variations of parameters, not just that of the temperature -as corroborated by existing observations of drops under variable electric field.

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“…Different from some previous LB models [39,10,27,36,37,25,35,38], in the present model, the force distribution function is given by…”

Section: Lb Model For Generalized N-s Equations With a Mass Source Termmentioning

confidence: 89%

“…The layered Poiseuille flow between two parallel plates is also a classical twophase problem which provides a good benchmark for validating the LB models [50,25,52,38,53,31].…”

Section: Layered Poiseuille Flowmentioning

confidence: 99%

A generalized lattice Boltzmann model for fluid flow system and its application in two-phase flows

Yuan

Chai

Wang

et al. 2020

Computers & Mathematics with Applications

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In this paper, a generalized lattice Boltzmann (LB) model with a mass source is proposed to solve both incompressible and nearly incompressible Navier-Stokes (N-S) equations. This model can be used to deal with single-phase and twophase flows problems with a mass source term. From this generalized model, we can not only get some existing models, but also derive new models. Moreover, for the incompressible model derived, a modified pressure scheme is introduced to calculate the pressure, and then to ensure the accuracy of the model. In this work, we will focus on a two-phase flow system, and in the frame work of our generalized LB model, a new phase-field-based LB model is developed for incompressible and quasi-incompressible two-phase flows. A series of numerical simulations of some classic physical problems, including a spinodal decomposition, a static droplet, a layered Poiseuille flow, and a bubble rising flow under buoyancy, are performed to validate the developed model. Besides, some comparisons with previous quasi-incompressible and incompressible LB models are also carried out, and the results show that the present model is accurate in the study of two-phase flows. Finally, we also conduct a comparison between quasiincompressible and incompressible LB models for two-phase flow problems, and find that in some cases, the proposed quasi-incompressible LB model performs better than incompressible LB models.Keywords: generalized lattice Boltzmann model, mass source term, incompressible and nearly incompressible N-S equations, fluid flow system, two-phase flow

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Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: A lattice Boltzmann model for large density and viscosity ratios

Cited by 141 publications

References 78 publications

Axisymmetric lattice Boltzmann model for multiphase flows with large density ratio

Axisymmetric lattice Boltzmann model for multiphase flows with large density ratio

Dependence of the surface tension and contact angle on the temperature, as described by the diffuse-interface model

A generalized lattice Boltzmann model for fluid flow system and its application in two-phase flows

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