A continuum model of interfacial surfactant transport for particle methods

Fujioka, Hideki

doi:10.1016/j.jcp.2012.09.041

Cited by 8 publications

(3 citation statements)

References 35 publications

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“…In future work, we will explore a larger parameter space, including asymmetric and/or non-plane bifurcation geometries, which can be built by tweaking the parameters defined in Appendix A. The effect of surfactant on the split of the liquid plug will be investigated using the method presented in the previous study, 59 where we need to solve two transport equations for surfactant in the bulk fluid and at the interface. Through these future investigations, we will refine the simple reduced-dimension model of the split of the plug, which contributes to achieving a better understanding of how to use liquid plugs effectively in medical treatment and how a plug behaves once it is created.…”

Section: Discussionmentioning

confidence: 99%

Splitting of a three-dimensional liquid plug at an airway bifurcation

et al. 2022

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Employing the moving particles semi-implicit (MPS) method, this study presents a numerical framework for solving the Navier-Stokes equations for the propagation and the split of a liquid plug through a three-dimensional air-filled bifurcating tube, where the inner surface is coated by a thin fluid film, and surface tension acts on the air-liquid interface. The detailed derivation of a modified MPS method to handle the air-liquid interface of liquid plugs is presented. When the front air-liquid interface of the plug splits at the bifurcation, the interface deforms quickly and causes large wall shear stress. We observe that the presence of a transverse gravitational force causes asymmetries in plug splitting, which becomes more pronounced as the capillary number decreases or the Bond number increases. We also observe that there exists a critical capillary number below which the plug does not split into two daughter tubes, but propagates into the lower daughter tube only. In order to deliver the plug into the upper daughter tube, the driving pressure to push the plug is required to overcome the hydrostatic pressure due to gravity. These tendencies agree with our previous experimental and theoretical studies.

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Section: Discussionmentioning

confidence: 99%

Splitting of a three-dimensional liquid plug at an airway bifurcation

et al. 2022

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“…Various [20] proposed a level-set continuum surface force method for full 3D two-phase flow with insoluble surfactant. A moving particle semi-implicit method was also used to solve multiphase flow with soluble surfactant [21].…”

Section: Introductionmentioning

confidence: 99%

A hybrid interface tracking – level set technique for multiphase flow with soluble surfactant

Shin

Chergui

Jurić

et al. 2018

Journal of Computational Physics

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A formulation for soluble surfactant transport in multiphase flows recently presented by Muradoglu & Tryggvason (JCP 274 (2014) 737–757) is adapted to the context of the Level Contour Reconstruction Method, LCRM, (Shin et al. IJNMF 60 (2009) 753–778) which is a hybrid method that combines the advantages of the Front-tracking and Level Set methods. Particularly close attention is paid to the formulation and numerical implementation of the surface gradients of surfactant concentration and surface tension. Various benchmark tests are performed to demonstrate the accuracy of different elements of the algorithm. To verify surfactant mass conservation, values for surfactant diffusion along the interface are compared with the exact solution for the problem of uniform expansion of a sphere. The numerical implementation of the discontinuous boundary condition for the source term in the bulk concentration is compared with the approximate solution. Surface tension forces are tested for Marangoni drop translation. Our numerical results for drop deformation in simple shear are compared with experiments and results from previous simulations. All benchmarking tests compare well with existing data thus providing confidence that the adapted LCRM formulation for surfactant advection and diffusion is accurate and effective in three-dimensional multiphase flows with a structured mesh. We also demonstrate that this approach applies easily to massively parallel simulations

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“…These methods are based upon volume-of-fluid (VOF) [4,11,21], front-tracking method [9,32,33], immersed boundary method [7,[25][26][27], level-set [47,48], and arbitrary Lagrangian-Eulerian (ALE) finite element method [3, 15-17, 19, 36]. Apart from the methods listed above, other numerical studies include diffuse-interface method [43], segmented projection method [22,23], lattice Boltzmann method [13], moving particle semi-implicit method [14], and smoothed particle hydrodynamics (SPH) method [1] etc. Some hybrid approaches combining two different methods were proposed as well [6,29,49,51].…”

Section: Introductionmentioning

confidence: 99%

An Immersed Boundary Method for Simulating Interfacial Flows with Insoluble Surfactant in Three Dimensions

Seol

Hsu²,

Lai³

2018

CICP

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In this paper, an immersed boundary (IB) method for simulating the interfacial flows with insoluble surfactant in three dimensions is developed. We consider a doubly periodic interface separating two fluids where the surfactant exists only along the evolving interface. An equi-arclength parametrization is introduced in order to track the moving interface and maintain good Lagrangian meshes, so stable computations can be performed without remeshing. This surface mesh-control technique is done by adding two artificial tangential velocity components into the Lagrangian marker velocity so that the Lagrangian markers can be equi-arclength distributed during the time evolution. As a result, the surfactant equation on the interface must be modified based on the new parametrization. A conservative scheme for solving the modified surfactant equation has been developed and proved to satisfy the total surfactant mass exactly in discrete level. A series of numerical experiments consisting of the validation of Lagrangian mesh control technique, the convergence study, the study of self-healing dynamics, and the simulations of two-layer fluids under Couette flow have been conducted to test our present numerical scheme.

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A continuum model of interfacial surfactant transport for particle methods

Cited by 8 publications

References 35 publications

Splitting of a three-dimensional liquid plug at an airway bifurcation

Splitting of a three-dimensional liquid plug at an airway bifurcation

A hybrid interface tracking – level set technique for multiphase flow with soluble surfactant

An Immersed Boundary Method for Simulating Interfacial Flows with Insoluble Surfactant in Three Dimensions

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