Numerical study of gravity-driven droplet displacement on a surface using the pseudopotential multiphase lattice Boltzmann model with high density ratio

Son, Soyoun; Chen, Li; Derome, Dominique; Carmeliet, Jan

doi:10.1016/j.compfluid.2015.04.022

Cited by 19 publications

(10 citation statements)

References 33 publications

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“…The surface tension σ in Equation (16) is determined from the Laplace law describing the pressure difference across the interface of a spherical droplet [41]. The dynamic viscosity is defined as the product of the kinematic viscosity ν and the liquid density, µ L = νˆρ, with ν = 1/6 lattice units.…”

Section: Dynamic Capillary Intrusionmentioning

confidence: 99%

Contact Angle Effects on Pore and Corner Arc Menisci in Polygonal Capillary Tubes Studied with the Pseudopotential Multiphase Lattice Boltzmann Model

et al. 2016

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Abstract:In porous media, pore geometry and wettability are determinant factors for capillary flow in drainage or imbibition. Pores are often considered as cylindrical tubes in analytical or computational studies. Such simplification prevents the capture of phenomena occurring in pore corners. Considering the corners of pores is crucial to realistically study capillary flow and to accurately estimate liquid distribution, degree of saturation and dynamic liquid behavior in pores and in porous media. In this study, capillary flow in polygonal tubes is studied with the Shan-Chen pseudopotential multiphase lattice Boltzmann model (LBM). The LB model is first validated through a contact angle test and a capillary intrusion test. Then capillary rise in square and triangular tubes is simulated and the pore meniscus height is investigated as a function of contact angle θ. Also, the occurrence of fluid in the tube corners, referred to as corner arc menisci, is studied in terms of curvature versus degree of saturation. In polygonal capillary tubes, the number of sides leads to a critical contact angle θ c which is known as a key parameter for the existence of the two configurations. LBM succeeds in simulating the formation of a pore meniscus at θ > θ c or the occurrence of corner arc menisci at θ < θ c . The curvature of corner arc menisci is known to decrease with increasing saturation and decreasing contact angle as described by the Mayer and Stoewe-Princen (MS-P) theory. We obtain simulation results that are in good qualitative and quantitative agreement with the analytical solutions in terms of height of pore meniscus versus contact angle and curvature of corner arc menisci versus saturation degree. LBM is a suitable and promising tool for a better understanding of the complicated phenomena of multiphase flow in porous media.

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Section: Dynamic Capillary Intrusionmentioning

confidence: 99%

Contact Angle Effects on Pore and Corner Arc Menisci in Polygonal Capillary Tubes Studied with the Pseudopotential Multiphase Lattice Boltzmann Model

et al. 2016

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“…The lattice Boltzmann equations can also be derived as a discretization of the BOLTZMANN transport equation in kinetic theory [25]. In addition to simulating fluid flow, the method has found wide application in simulating diffusion [26][27][28][29] and complex multiphysics phenomena [30][31][32]. Recently, with advances in imaging techniques and computational resources, the method is finding wide application in the characterization of the effective permeability of materials with complex micro-geometries [33][34][35][36][37][38].…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

The intrinsic permeability of microcracks in porous solids: Analytical models and Lattice Boltzmann simulations

Timothy

Meschke

2017

Num Anal Meth Geomechanics

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The paper presents a synthesis of analytical modeling and computational simulations of the intrinsic permeability of microcracks, embedded in porous materials taking into account the interaction of the fluid flow in the microcrack with the surrounding porous material. In the first part of the paper, using the DARCY, STOKES, BRINKMAN, and the BEAVERS-JOSEPH approximations, we derive the intrinsic permeability of a plain non-rough microcrack in terms of the microcrack geometry and the permeability of the porous material surrounding the microcrack. In the second part of the paper, the intrinsic permeability of a microcrack is determined by means of computational simulations using the framework of the lattice Boltzmann method with partial bounceback conditions. The comparison of predictions from the analytical model and the numerical simulations show an excellent agreement.The aim of this paper is (i) to estimate using a combination of analytical models and computational simulations, the intrinsic permeability of a plain non-rough microcrack considering the influence of the porous material surrounding the microcrack and (ii) to show via computational simulations

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“…The Laplacian terms ∇ 2 C and ∇ 2 µ in Eqs. (3) and (11), respectively, are stored per element. Looking at the concentration-term first, it is evaluated by considering the volume integral of ∇ 2 C over the set Ω, which contains all elements Ω α , Ω β , .…”

Section: Evaluating Laplaciansmentioning

confidence: 99%

Finite-element lattice Boltzmann simulations of contact line dynamics

et al. 2018

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The lattice Boltzmann method has become one of the standard techniques for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular lattices. Alternative off-lattice Boltzmann schemes exist for both single- and multiphase flows that decouple the velocity discretization from the underlying spatial grid. The current study extends the applicability of these off-lattice methods by introducing a finite element formulation that enables simulating contact line dynamics for partially wetting fluids. This work exemplifies the implementation of the scheme and furthermore presents benchmark experiments that show the scheme reduces spurious currents at the liquid-vapor interface by at least two orders of magnitude compared to a nodal implementation and allows for predicting the equilibrium states accurately in the range of moderate contact angles.

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Numerical study of gravity-driven droplet displacement on a surface using the pseudopotential multiphase lattice Boltzmann model with high density ratio

Cited by 19 publications

References 33 publications

Contact Angle Effects on Pore and Corner Arc Menisci in Polygonal Capillary Tubes Studied with the Pseudopotential Multiphase Lattice Boltzmann Model

Contact Angle Effects on Pore and Corner Arc Menisci in Polygonal Capillary Tubes Studied with the Pseudopotential Multiphase Lattice Boltzmann Model

The intrinsic permeability of microcracks in porous solids: Analytical models and Lattice Boltzmann simulations

Finite-element lattice Boltzmann simulations of contact line dynamics

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