Extension of the Improved Bounce-Back Scheme for Electrokinetic Flow in the Lattice Boltzmann Method

Chen, Qing; Zhou, Hu; Jiang, Xuesong; Li, Xu; Li, Qing; Yu, Ruan

doi:10.3390/e17117406

Cited by 7 publications

(6 citation statements)

References 41 publications

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“…For the considered incompressible flow, with ρ = constant, they read: bold∇⋅u=0 and ρ(normal∂bold-italicunormal∂t+bold-italicu⋅bold∇u)=−bold∇p+μ∇2bold-italicu+bold-italicF, where μ is the dynamic viscosity. The discretized LBM model for the electric field is [35–37,40]: hifalse(bold-italicxbold+bold-italicci,s+1false)−hifalse(bold-italicx,sfalse)=−1τΨfalse[hifalse(bold-italicx,sfalse)−hieqfalse(bold-italicx,sfalse)false]+ωiρeϵ with hieq=ωiΨ,1emΨ=∑ihi, τΨ=3χ+12, where hi…”

Section: Mathematical Models and Lattice Boltzmann Methods Implementationmentioning

confidence: 99%

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Lattice Boltzmann method investigation of a reactive electro-kinetic flow in porous media: towards a phenomenological model

Clercx

Toschi

2021

Phil. Trans. R. Soc. A.

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A model based on the Lattice Boltzmann method is developed to study the flow of reactive electro-kinetic fluids in porous media. The momentum, concentration and electric/potential fields are simulated via the Navier–Stokes, advection–diffusion/Nernst–Planck and Poisson equations, respectively. With this model, the total density and velocity fields, the concentration of reactants and reaction products, including neutral and ionized species, the electric potential and the interaction forces between the fields can be studied, and thus we provide an insight into the interplay between chemistry, flow and the geometry of the porous medium. The results show that the conversion efficiency of the reaction can be strongly influenced by the fluid velocity, reactant concentration and by porosity of the porous medium. The fluid velocity determines how long the reactants stay in the reaction areas, the reactant concentration controls the amount of the reaction material and with different dielectric constant, the porous medium can distort the electric field differently. All these factors make the reaction conversion efficiency display a non-trivial and non-monotonic behaviour as a function of the flow and reaction parameters. To better illustrate the dependence of the reaction conversion efficiency on the control parameters, based on the input from a number of numerical investigations, we developed a phenomenological model of the reactor. This model is capable of capturing the main features of the causal relationship between the performance of the reactor and the main test parameters. Using this model, one could optimize the choice of reaction and flow parameters in order to improve the performance of the reactor and achieve higher production rates. This article is part of the theme issue ‘Progress in mesoscale methods for fluid dynamics simulation’.

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Section: Mathematical Models and Lattice Boltzmann Methods Implementationmentioning

confidence: 99%

“…where μ is the dynamic viscosity. The discretized LBM model for the electric field is [35][36][37]40]:…”

Section: Mathematical Models and Lattice Boltzmann Methods Implementationmentioning

confidence: 99%

Lattice Boltzmann method investigation of a reactive electro-kinetic flow in porous media: towards a phenomenological model

Clercx

Toschi

2021

Phil. Trans. R. Soc. A.

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“…The Poisson equation is the partial differential equation. From which, the electrical field can be derived [18,19,22,23,27] ∇2Ψ=−ρeϵ, where Ψ is the electric potential, ρ e is the volumetric charge density and ϵ is the dielectric constant of the material. To solve the Poison equation with the LBM, a fictive time-dependent term is added and the equation becomes normal∂Ψnormal∂t=χ∇2Ψ+ρeϵ. Introducing a parameter χ , which depends on the dielectric constant of the material, different dielectric material can be simulated.…”

Section: Mathematical and Numerical Modelsmentioning

confidence: 99%

Plasma-induced catalysis: towards a numerical approach

Toschi

2020

Phil. Trans. R. Soc. A.

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A lattice Boltzmann (LB) model is developed, validated and used to study simplified plasma/flow problems in complex geometries. This approach solves a combined set of equations, namely the Navier–Stokes equations for the momentum field, the advection–diffusion and the Nernst–Planck equations for electrokinetic and the Poisson equation for the electric field. This model allows us to study the dynamical interaction of the fluid/plasma density, velocity, concentration and electric field. In this work, we discuss several test cases for our numerical model and use it to study a simplified plasma fluid flowing and reacting inside a packed bed reactor. Inside the packed bed, electric breakdown reactions take place due to the electric field, making neutral species ionize. The presence of the packed beads can help enhance the reaction efficiency by locally increasing the electric field, and the size of packed beads and the pressure drop of the packed bed do influence the outflux. Hence trade-offs exist between reaction efficiency and packing porosity, the size of packing beads and the pressure drop of the packed bed. Our model may be used as a guidance to achieve higher reaction efficiencies by optimizing the relevant parameters. This article is part of the theme issue ‘Fluid dynamics, soft matter and complex systems: recent results and new methods’.

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“…To obtain the appropriate values such as electric field intensity on the curving electrode surface, the physical boundary node x b (as shown in Figure 2) on the electrode surface is inserted between the solid node x s and the fluid node x f (Chen et al , 2015). The node values of x b is calculated using the linear interpolation scheme, and the fraction of the intersected line in the solid domain region is Δ = | x s − x b |/ | x s − x f |.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Zhang and Kwok (2005) investigated the EHD drop deformation affected by an electric field. In addition, Oulaid et al (2013) and Chen et al (2015, 2016) developed the novel and accurate boundary treatments of LBM to electrokinetic flow with complex boundaries. In this research works, the electrostatic potential in a liquid electrolyte solution is solved by the electric double layer theory and the Poisson–Boltzmann equation.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on the effect of EHD flow on mass transfer of gas mixtures

Chen

2017

HFF

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Purpose The paper aims to discuss the mass transfer of gas mixtures under the influence of electrohydrodynamic (EHD) flow induced by direct current (DC) corona discharge of wire-to-plane electrode, using a coupled numerical model. Design/methodology/approach A coupled numerical method is developed in this paper. Lattice Boltzmann model of binary gas mixtures coupled with the Coulomb force as an external force is introduced to predict the gas flow and species transport affected by EHD flow. Meanwhile, the distributions of electric field and space charge density during DC corona discharge are obtained using the finite difference method and the method of characteristics. Findings The numerical results of mass transfer effected by EHD flow reveal that the high electric field intensity is observed near the surface of corona wire, which causes the higher Coulomb force to form the EHD flow pattern of anticlockwise vortex. The EHD vortex flow plays a considerable role in the mass transport enhancement of gas species emit from the plane electrode, and the significant difference of the local Sherwood number is presented along the direction parallel to plane electrode. In addition, the enhance effectiveness with the different applied voltage is assessed, and the influencing mechanism of enhancement is investigated in this work. Originality/value The proposed numerical model will be useful in the study of mass transfer and fluid flow effected by EHD.

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Extension of the Improved Bounce-Back Scheme for Electrokinetic Flow in the Lattice Boltzmann Method

Cited by 7 publications

References 41 publications

Lattice Boltzmann method investigation of a reactive electro-kinetic flow in porous media: towards a phenomenological model

Lattice Boltzmann method investigation of a reactive electro-kinetic flow in porous media: towards a phenomenological model

Plasma-induced catalysis: towards a numerical approach

Numerical study on the effect of EHD flow on mass transfer of gas mixtures

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