Lattice Boltzmann equation method in electrohydrodynamic problems

Куперштох, А. Л.; Медведев, Д. А.

doi:10.1016/j.elstat.2005.10.012

Cited by 148 publications

(37 citation statements)

References 10 publications

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“…Kupershtokh and Medvedev [22] derived the EDM for LBM in the form F[ = /]eq(p ,u eq + Aueq) -/,eV , u eq),…”

Section: B Edm Forcing Schemementioning

confidence: 99%

“…Different approaches have been used to solve these issues. In particular, Kupershtokh et al [22] developed the exact difference method (EDM) as a new way to incorporate the pseudopotential force into LBM multiphase simulations. The spurious currents produced at the vapor-liquid interface are substantially reduced and the method is more stable, where the unphysical phenomenon of relaxation time dependence is avoided [23].…”

Section: Introductionmentioning

confidence: 99%

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Multirelaxation-time lattice Boltzmann model for droplet heating and evaporation under forced convection

2015

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We investigate the evaporation of a droplet surrounded by superheated vapor with relative motion between phases. The evaporating droplet is a challenging process, as one must take into account the transport of mass, momentum, and heat. Here a lattice Boltzmann method is employed where phase change is controlled by a nonideal equation of state. First, numerical simulations are compared to the D(2) law for a vaporizing static droplet and good agreement is observed. Results are then presented for a droplet in a Lagrangian frame under a superheated vapor flow. Evaporation is described in terms of the temperature difference between liquid-vapor and the inertial forces. The internal liquid circulation driven by surface-shear stresses due to convection enhances the evaporation rate. Numerical simulations demonstrate that for higher Reynolds numbers, the dynamics of vaporization flux can be significantly affected, which may cause an oscillatory behavior on the droplet evaporation. The droplet-wake interaction and local mass flux are discussed in detail.

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“…Kupershtokh and Medvedev [22] derived the EDM for LBM in the form F[ = /]eq(p ,u eq + Aueq) -/,eV , u eq),…”

Section: B Edm Forcing Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multirelaxation-time lattice Boltzmann model for droplet heating and evaporation under forced convection

2015

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“…Recently, Kupershtokh et al [11] and Zhang et al [12] have investigated the deformation of liquid drops and vapor bubbles under the influence of electric fields and got very useful results. In their studies, however, the instability of dielectric liquid drops was not yet studied deeply.…”

Section: Electrohydrodynamics Lattice Boltzmann Method Drop Deformamentioning

confidence: 99%

“…The Kuperstokh's method, though its numerical results qualitatively agreed with the corresponding experiments in ref. [11], cannot be directly applied to study on the deformation and instability of liquid drops. There are two reasons.…”

Section: Mathematical Modelmentioning

confidence: 97%

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Application of the lattice Boltzmann method to electrohydrodynamics: Deformation and instability of liquid drops in electrostatic fields

Huang

Liu

2007

Chin. Sci. Bull.

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It is attractive and meaningful to apply the lattice Boltzmann method (LBM) to electrohydrodynamic (EHD) problems. As an important and fundamental problem in EHD, the behavior of freely-suspended liquid drops subjected to electrostatic fields was simulated with a 2-D LBM by means of the permittivity-density relation proposed by the authors and Peng's multiphase LBM which can obtain high liquid-to-vapor density ratio and low liquid-phase compressibility. The phenomena and laws of deformation, especially the instable behavior of the liquid drops were well simulated. And two important critical parameters, i.e. the critical permittivity ratio and the critical electric-field strength were obtained. These results agree with the corresponding theories and experiments. The simulations show the particular advantages and potential of the LBM in studying multiphase electrohydrodynamic problems.

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Simulating magnetohydrodynamic natural convection flow in a horizontal cylindrical annulus using the lattice Boltzmann method

Ashorynejad

Sedighi

Farhadi

et al. 2012

Heat Trans. Asian Res.

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A numerical study is presented about the effect of a uniform magnetic field on free convection in a horizontal cylindrical annulus using the lattice Boltzmann method. The inner and outer cylinders are maintained at uniform temperatures and it is assumed the walls are insulating with a magnetic field. Detailed numerical results of heat transfer rate, temperature, and velocity fields have been presented for Pr=0.7, Ra=103 to 5 × 104, and Ha=0 to 100. The computational results show that in a horizontal cylindrical annulus the flow and heat transfer are suppressed more effectively by a radial magnetic field. It is also found that the flow oscillations can be suppressed effectively by imposing an external radial magnetic field. The average Nusselt number increases by increasing the radius ratio while it decreases by increasing the Hartmann number. © 2012 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21008

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Lattice Boltzmann equation method in electrohydrodynamic problems

Cited by 148 publications

References 10 publications

Multirelaxation-time lattice Boltzmann model for droplet heating and evaporation under forced convection

Multirelaxation-time lattice Boltzmann model for droplet heating and evaporation under forced convection

Application of the lattice Boltzmann method to electrohydrodynamics: Deformation and instability of liquid drops in electrostatic fields

Simulating magnetohydrodynamic natural convection flow in a horizontal cylindrical annulus using the lattice Boltzmann method

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