Lattice–Boltzmann simulations of dynamic interfacial tension due to soluble amphiphilic surfactant

Skartlien, R.; Furtado, Kalli; Sollum, Espen; Meakin, Paul; Kralova, Iva

doi:10.1016/j.physa.2011.02.022

Cited by 17 publications

(11 citation statements)

References 24 publications

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“…The model surfactant exhibits diffusion controlled adsorption kinetics (Skartlien et al, 2011), where the surfactant adsorbs to the interface from Table A.1: Interaction coupling constants. The signs chosen for these constants are a consequence of the formulation of the force model (Furtado and Skartlien, 2010).…”

Section: Resultsmentioning

confidence: 99%

“…The dynamics in the fluids induce fluctuations in the interfacial surfactant density and Marangoni effects (via the viscous stresses) and no explicit advection/diffusion equation for the surfactant on the interface is necessary. The diffusivity of the surfactant is controlled by the kinematic viscosities of the fluids and of the surfactant fluid (Skartlien et al, 2011). We chose a collisional relaxation time τ S = 1.1 for the surfactant, defining the kinematic viscosity of the surfactant, as a fluid.…”

Section: Resultsmentioning

confidence: 99%

“…is a good representation of the current simulation model as shown in Skartlien et al (2011), where σ is the interfacial tension, σ 0 is the surfactant-free interfacial tension, Γ m is the maximum interfacial concentration, T is the temperature, and R is the "gas constant". Gibbs elasticity (e.g., Danov et al, 2001) is then…”

Section: Appendix D Interfacial Elasticitymentioning

confidence: 99%

“…In the current work, we tested and developed this roughness scale model by using numerical simulations, where all the turbulence length scales and energies near the interface are readily available (within the limitations of the simulation setup). The lattice Boltzmann simulation model we have developed (e.g., Furtado and Skartlien, 2010;Skartlien et al, 2011, and references therein) also includes surfactant, such that we were able to explore how the roughness scale depends on the surfactant dynamics in terms of Marangoni stresses.…”

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confidence: 99%

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On the interfacial roughness scale in turbulent stratified two-phase flow: 3D lattice Boltzmann numerical simulations with forced turbulence and surfactant

Skartlien

Sollum

Fakharian

et al. 2015

International Journal of Multiphase Flow

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Numerical simulations of turbulent, stratified two-phase flow with a surfactant laden interface were analyzed. The turbulence was forced in the upper and lower liquids to emulate the dynamics of an interface between turbulent fluids, without requiring (prohibitively) large simulation domains. This setup was used to test and develop a phenomenological roughness scale model where we assume that the energy required to deform the interface (buoyancy, interfacial tension, and viscous work) is proportional to the turbulent kinetic energy adjacent to the interface. The addition of surfactant lead to an increased roughness scale (for the same turbulent kinetic energy) due to the introduction of interfacial dilatational elasticity that suppressed horizontal motion parallel to the interface, and enhanced the vertical motion. We foresee that the phenomenological roughness model can be used as a building block for more general interfacial closure relations in Reynolds averaged turbulence models where also mobile surfactant is accounted for. *

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Appendix D Interfacial Elasticitymentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

On the interfacial roughness scale in turbulent stratified two-phase flow: 3D lattice Boltzmann numerical simulations with forced turbulence and surfactant

Skartlien

Sollum

Fakharian

et al. 2015

International Journal of Multiphase Flow

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“…Our subsequent work focused on developing the model boundary and initial conditions for flow settings in sheared and turbulent emulsion flow, and to calibration to real surfactant systems in terms of dynamic (and diffusion controlled) interfacial tension [19] .…”

Section: Implementation and Applicationsmentioning

confidence: 99%

Multiphase Flow Research with a Surfactant Lattice Boltzmann Model

Skartlien

Furtado

Sollum

2015

Journal of Dispersion Science and Technology

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Surfactant-dependent rheologies of emulsions, and surfactant-controlled droplet size distributions in turbulent flows, were studied with 3D lattice Boltzmann simulations. We review the surfactant related aspects of the model, where the amphiphilic surfactant is treated as a continuous density and vector field. The free energy formulation of the model allows for thermodynamic interpretations of the model results. KEYWORDS: amphiphilic surfactant dynamic interfacial tension Marangoni effect emulsion rheology Gibbs-Helmholtz free energy

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A lattice boltzmann approach to surfactant‐laden emulsions

2018

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We present a pseudopotential lattice Boltzmann method to simulate liquid–liquid emulsions with a slightly soluble surfactant. The model is investigated in 2‐D, over a wide parameter space for a single, stationary, immiscible droplet, and surface tension reduction by up to 15% is described in terms of a surfactant strength Λ (which roughly follows a Langmuir isotherm). The basic surfactant model is shown to be insufficient for arresting phase segregation—which is then achieved by changing the liquid–liquid interaction strength locally as a function of the surfactant density. 3‐D spinodal decomposition (phase separation) is simulated, where the surfactant is seen to adapt rapidly to the evolving interfaces. Finally, for pendent droplet formation in an immiscible liquid, the addition of surfactant is shown to alter the droplet‐size distribution and dynamics of newly formed droplets. © 2018 The Authors. AIChE Journal published by Wiley Periodicals, Inc. on behalf of American Institute of Chemical Engineers. AIChE J, 65: 811–828, 2019

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Lattice–Boltzmann simulations of dynamic interfacial tension due to soluble amphiphilic surfactant

Cited by 17 publications

References 24 publications

On the interfacial roughness scale in turbulent stratified two-phase flow: 3D lattice Boltzmann numerical simulations with forced turbulence and surfactant

On the interfacial roughness scale in turbulent stratified two-phase flow: 3D lattice Boltzmann numerical simulations with forced turbulence and surfactant

Multiphase Flow Research with a Surfactant Lattice Boltzmann Model

A lattice boltzmann approach to surfactant‐laden emulsions

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