A moving mesh interface tracking method for simulation of liquid–liquid systems

Charin, Amanda H.L.M.; Tukovi,; Jasak, Hrvoje; Silva, L.F.L.R.; Lage, Paulo L.C.

doi:10.1016/j.jcp.2017.01.011

Cited by 14 publications

(3 citation statements)

References 48 publications

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“…Interface tracking methods, such as the moving mesh method, use a separate boundary-fitted moving mesh for each phase [22]. Although interface tracking methods are quite accurate, they are typically used to model bubble or droplets with mild-moderate deformations [22,23] but to handle complex interface deformations these methods require a global or local re-meshing [24]. Interface capturing methods use a fixed grid with functions to capture the interface such as the Volume Of Fluid method (VOF) [25], level-set [26] and diffuse interface methods [27].…”

Section: Introductionmentioning

confidence: 99%

Comparison of Surface Tension Models for the Volume of Fluid Method

Vachaparambil

Einarsrud

2019

Processes

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With the increasing use of Computational Fluid Dynamics to investigate multiphase flow scenarios, modelling surface tension effects has been a topic of active research. A well known associated problem is the generation of spurious velocities (or currents), arising due to inaccuracies in calculations of the surface tension force. These spurious currents cause nonphysical flows which can adversely affect the predictive capability of these simulations. In this paper, we implement the Continuum Surface Force (CSF), Smoothed CSF and Sharp Surface Force (SSF) models in OpenFOAM. The models were validated for various multiphase flow scenarios for Capillary numbers of 10 − 3 –10. All the surface tension models provide reasonable agreement with benchmarking data for rising bubble simulations. Both CSF and SSF models successfully predicted the capillary rise between two parallel plates, but Smoothed CSF could not provide reliable results. The evolution of spurious current were studied for millimetre-sized stationary bubbles. The results shows that SSF and CSF models generate the least and most spurious currents, respectively. We also show that maximum time step, mesh resolution and the under-relaxation factor used in the simulations affect the magnitude of spurious currents.

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Section: Introductionmentioning

confidence: 99%

Comparison of Surface Tension Models for the Volume of Fluid Method

Vachaparambil

Einarsrud

2019

Processes

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“…At the oil–water interface, the continuity of velocity, as described in eq , and the shear stress balance must be satisfied. , The EDL model, eq , has been employed in various studies to delineate shear stress continuity at the liquid–liquid interface. , This model incorporates the EDL at the interface with a ζ-potential, and solves the PB equation for the EDL field u⃗ normalo normali normall = u⃗ normalw n⃗ · ( η o i l ∇ u⃗ o i l − η w ∇ u⃗ w ) = 0 …”

Section: Methodsmentioning

confidence: 99%

“…42,43 The EDL model, eq 24, has been employed in various studies to delineate shear stress continuity at the liquid−liquid interface. 43,44 This model incorporates the EDL at the interface with a ζ-potential, and solves the PB equation for the EDL field. 43 = u u oil w (23)…”

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confidence: 99%

Droplet Electrophoresis with Internal Free Ions: Effect of Permittivity Changes in the Electric Double Layer

Rashidi,

Panahi,

Pishevar

et al. 2024

Langmuir

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Droplet electrophoresis (EP) is of interest in biological systems, microfluidics, and separation techniques. We investigate EP of an oil droplet that contains free ions and is stabilized in an electrolyte solution through an amphoteric surfactant. The presence of mobile ions within the droplet leads to the creation of a distinct nonzero space charge density inside the droplet and consequently, formation of an inner EDL inside the droplet in addition to the traditionally considered outside EDL. While we assume the permittivity inside the inner EDL to remain constant, we consider both the case of constant and variable permittivity in the outer EDL. Our findings demonstrate a change in the droplet direction of motion in the electric field when transitioning from acidic to alkaline pH, regardless of permittivity and ionic strength in both oil and electrolyte. We further find a significant reduction in the magnitude of droplet velocity in the case of a variable permittivity due to reduction of the local space charge density within the EDL surrounding the droplet. When decreasing the viscosity ratio of the oil to the electrolyte, in all cases we find a reduction in droplet velocity. This decline is attributed mostly to the formation and strength of a vortex around the droplet. We finally demonstrate that with constant permittivity in the outer EDL, the variation in κa outer has a more significant effect on the droplet's EP velocity than altering κa inner . However, in cases where the body forces inside of the droplet dominate, minor changes in the outer electrolyte concentration have no influence on the droplet motion, which is relevant for biological colloids that can contain significant free internal charges. Our results are important for the manipulation of biological colloids, water and waste treatment such as lubricant removal from processing streams.

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SOMAFOAM: An OpenFOAM based solver for continuum simulations of low-temperature plasmas

Verma

Venkattraman

2021

Computer Physics Communications

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A moving mesh interface tracking method for simulation of liquid–liquid systems

Cited by 14 publications

References 48 publications

Comparison of Surface Tension Models for the Volume of Fluid Method

Comparison of Surface Tension Models for the Volume of Fluid Method

Droplet Electrophoresis with Internal Free Ions: Effect of Permittivity Changes in the Electric Double Layer

SOMAFOAM: An OpenFOAM based solver for continuum simulations of low-temperature plasmas

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