Calculations and Simulations

Bothe, Dieter

doi:10.1002/9780470431870.ch7

Cited by 2 publications

(1 citation statement)

References 25 publications

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“…Several numerical models have been proposed to describe the inert solute or reactive species mass transfer in multiphase flows without phase change. Normally, the solute behavior is governed by the diffusion-convection equation in a single-phase domain coupled with a species distribution law (i.e., Henry's law) at the interface, assuming an equilibrium state at the interface [13][14][15][16]. The earliest attempt for such mass transfer modeling is the case for a rising droplet by the VOF method.…”

Section: Introductionmentioning

confidence: 99%

Modeling mass transfer and reaction of dilute solutes in a ternary phase system by the lattice Boltzmann method

Bai

Luo

et al. 2017

Phys. Rev. E

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In this work, we propose a general approach for modeling mass transfer and reaction of dilute solute(s) in incompressible three-phase flows by introducing a collision operator in lattice Boltzmann (LB) method. An LB equation was used to simulate the solute dynamics among three different fluids, in which the newly expanded collision operator was used to depict the interface behavior of dilute solute(s). The multiscale analysis showed that the presented model can recover the macroscopic transport equations derived from the Maxwell-Stefan equation for dilute solutes in three-phase systems. Compared with the analytical equation of state of solute and dynamic behavior, these results are proven to constitute a generalized framework to simulate solute distributions in three-phase flows, including compound soluble in one phase, compound adsorbed on single-interface, compound in two phases, and solute soluble in three phases. Moreover, numerical simulations of benchmark cases, such as phase decomposition, multilayered planar interfaces, and liquid lens, were performed to test the stability and efficiency of the model. Finally, the multiphase mass transfer and reaction in Janus droplet transport in a straight microchannel were well reproduced.

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Section: Introductionmentioning

confidence: 99%

Modeling mass transfer and reaction of dilute solutes in a ternary phase system by the lattice Boltzmann method

Bai

Luo

et al. 2017

Phys. Rev. E

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Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Wörner

2012

Microfluid Nanofluid

370

197

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This article presents a comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering. The focus of the paper is on continuum methods where it covers the three common approaches in the sharp interface limit, namely the volumeof-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color-function based methods and the phase-field method. Variants of the mesoscopic lattice Boltzmann method for two-fluid flows are also discussed, as well as various hybrid approaches. The mathematical foundation of each method is given and its specific advantages and limitations are highlighted. For continuum methods, the coupling of the interface evolution equation with the single-field Navier-Stokes equations and related issues are discussed. Methods and models for surface tension forces, contact lines, heat and mass transfer and phase change are presented. In the second part of this article applications of the methods in microfluidics and micro process engineering are reviewed, including flow hydrodynamics (separated and segmented flow, bubble and drop formation, breakup and coalescence), heat and mass transfer (with and without chemical reactions), mixing and dispersion, Marangoni flows and surfactants, and boiling.

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Calculations and Simulations

Cited by 2 publications

References 25 publications

Modeling mass transfer and reaction of dilute solutes in a ternary phase system by the lattice Boltzmann method

Modeling mass transfer and reaction of dilute solutes in a ternary phase system by the lattice Boltzmann method

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

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