A coupled immersed boundary and immersed interface method for interfacial flows with soluble surfactant

Hu, Wen‐Chen; Lai, Ming Chih; Misbah, Chaouqi

doi:10.1016/j.compfluid.2018.04.013

Cited by 14 publications

(11 citation statements)

References 27 publications

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“…(a) The numerical algorithm for the second-order immersed interface method code: At t n the drop shape x, flow field u, and interface velocity, U are computed using the electrohydrodynamic solver in [35,77]. The information is then used as input to the surfactant transport solver [78], in order to determine the bulk (φ) and interface surfactant profile (Γ). Given Γ, we determine the change in surface tension γ, as well as the updated drop shape, flow field, and interface velocity at time t n+1 .…”

Section: Discussionmentioning

confidence: 99%

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Effects of Surfactant Solubility on the Hydrodynamics of a Viscous Drop in a DC Electric Field

Nganguia,

Hu,

Lai

et al. 2020

Preprint

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The physico-chemistry of surfactants (amphiphilic surface active agents) is often used to control the dynamics of viscous drops and bubbles. Surfactant sorption kinetics has been shown to play a critical role in the deformation of drops in extensional and shear flows, yet to the best of our knowledge these kinetics effects on a viscous drop in an electric field have not been accounted for. In this paper we numerically investigate the effects of sorption kinetics on a surfactant-covered viscous drop in an electric field. Over a range of electric conductivity and permittivity ratios between the interior and exterior fluids, we focus on the dependence of deformation and flow on the transfer parameter J, and Biot number Bi that characterize the extent of surfactant exchange between the drop surface and the bulk. Our findings suggest solubility affects the electrohydrodynamics of a viscous drop in distinct ways as we identify parameter regions where (1) surfactant solubility may alter both the drop deformation and circulation of fluid around a drop, and (2) surfactant solubility affects mainly the flow and not the deformation.

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Section: Discussionmentioning

confidence: 99%

“…In this work we implement a numerical code based on the immersed interface method (IIM) integrating numerical tools developed by our group [35,77,78]. A description of the numerical setup is provided in A, together with numerical validation in B and convergence study in C.…”

Section: B Nondimensionalizationmentioning

confidence: 99%

Effects of Surfactant Solubility on the Hydrodynamics of a Viscous Drop in a DC Electric Field

Nganguia,

Hu,

Lai

et al. 2020

Preprint

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“…Boukharfane et al (2018) applied the direct-forcing method and the ghost-cell method together to enforce no-slip and nopenetration boundary conditions at the interphase interface in studying compressible reactive flows over immersed objects, respectively. Hu et al (2018) employed the original IB method to study the moving of an irregular domain while the IIM is used to study the convection-diffusion problem at the domain interface. Meyer et al (2010) coupled the IIM with the cut-cell method to maintain high accuracy, together with a combination of level-set method, which showed excellent mass and momentum conservation for arbitrary moving and deforming boundaries.…”

Section: Hybrid Immersed Boundary Methodsmentioning

confidence: 99%

“…A key point in the IIM and the cut-cell method is to enforce the Neumann boundary condition for pressure to ensure no-penetration at the surface. The given derivatives at the interface could be easily integrated into the calculation of jump conditions and spatial and temporal discretization process for the IIM (Hu et al 2018;Meyer et al 2010) or in the calculation of the surface derivatives and values in a finite-volume solver (Schneiders et al 2013).…”

Section: Implementation Of Boundary Conditionsmentioning

confidence: 99%

“…Pan (2012) and Luo et al (2016b) independently constructed interpolation schemes to realize the Robin boundary condition in the ghost-cell method with second-order accuracy. It should be noted that the IIM could easily handle the Robintype boundary condition through the derivation of jump conditions and modification to discretization schemes (Hu et al 2018), which makes the IIM widely applied in complex boundary condition problems.…”

Section: Implementation Of Boundary Conditionsmentioning

confidence: 99%

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Immersed boundary method for multiphase transport phenomena

Wei

Zhang

Luo

et al. 2020

Reviews in Chemical Engineering

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Multiphase flows with momentum, heat, and mass transfer exist widely in a variety of industrial applications. With the rapid development of numerical algorithms and computer capacity, advanced numerical simulation has become a promising tool in investigating multiphase transport problems. Immersed boundary (IB) method has recently emerged as such a popular interface capturing method for efficient simulations of multiphase flows, and significant achievements have been obtained. In this review, we attempt to give an overview of recent progresses on IB method for multiphase transport phenomena. Firstly, the governing equations, the basic ideas, and different boundary conditions for the IB methods are introduced. This is followed by numerical strategies, from which the IB methods are classified into two types, namely the artificial boundary method and the authentic boundary method. Discussions on the implementation of various boundary conditions at the interphase surface with momentum, heat, and mass transfer for different IB methods are then presented, together with a summary. Then, the state-of-the-art applications of IB methods to multiphase flows, including the isothermal flows, the heat transfer flows, and the mass transfer problems are outlined, with particular emphasis on the latter two topics. Finally, the conclusions and future challenges are identified.

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Efficient and structure-preserving time-dependent auxiliary variable method for a conservative Allen–Cahn type surfactant system

Yang

Kim

2022

Engineering with Computers

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A coupled immersed boundary and immersed interface method for interfacial flows with soluble surfactant

Cited by 14 publications

References 27 publications

Effects of Surfactant Solubility on the Hydrodynamics of a Viscous Drop in a DC Electric Field

Effects of Surfactant Solubility on the Hydrodynamics of a Viscous Drop in a DC Electric Field

Immersed boundary method for multiphase transport phenomena

Efficient and structure-preserving time-dependent auxiliary variable method for a conservative Allen–Cahn type surfactant system

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