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Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method

Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method
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Year:    2010

Communications in Computational Physics, Vol. 8 (2010), Iss. 4 : pp. 735–757

Abstract

In this paper, we present an immersed boundary method for simulating moving contact lines with surfactant. The governing equations are the incompressible Navier-Stokes equations with the usual mixture of Eulerian fluid variables and Lagrangian interfacial markers. The immersed boundary force has two components: one from the nonhomogeneous surface tension determined by the distribution of surfactant along the fluid interface, and the other from unbalanced Young's force at the moving contact lines. An artificial tangential velocity has been added to the Lagrangian markers to ensure that the markers are uniformly distributed at all times. The corresponding modified surfactant equation is solved in a way such that the total surfactant mass is conserved. Numerical experiments including convergence analysis are carefully conducted. The effect of the surfactant on the motion of hydrophilic and hydrophobic drops are investigated in detail.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.281009.120210a

Communications in Computational Physics, Vol. 8 (2010), Iss. 4 : pp. 735–757

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:   

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    https://doi.org/10.1016/j.compfluid.2018.04.013 [Citations: 13]

  2. Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants

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  3. A thermodynamically consistent model and its conservative numerical approximation for moving contact lines with soluble surfactants

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  5. Pore-Scale Modeling of Two-Phase Flows with Soluble Surfactants in Porous Media

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  6. Breakage, coalescence and size distribution of surfactant-laden droplets in turbulent flow

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  7. Coalescence of surfactant-laden drops by Phase Field Method

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    https://doi.org/10.1016/j.jcp.2018.10.021 [Citations: 69]

  8. Surfactant effects on contact line alteration of a liquid drop in a capillary tube

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    https://doi.org/10.1088/1742-6596/1013/1/012148 [Citations: 0]

  9. A front-tracking method for simulating interfacial flows with particles and soluble surfactants

    Shang, Xinglong | Luo, Zhengyuan | Bai, Bofeng | Hu, Guoqing

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    https://doi.org/10.1016/j.jcp.2023.112476 [Citations: 3]

  10. Computational modeling of impinging viscoelastic droplets

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  11. An immersed boundary-phase field fluid-surfactant model with moving contact lines on curved substrates

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  12. Simulating liquid–gas interfaces and moving contact lines with the immersed boundary method

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  13. Reinitialization of the Level-Set Function in 3d Simulation of Moving Contact Lines

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  14. Role of surfactant-induced Marangoni effects in droplet dynamics on a solid surface in shear flow

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  15. A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant

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  16. Numerical Approximation of a Phase-Field Surfactant Model with Fluid Flow

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  17. Effects of temperature-dependent contact angle on the flow dynamics of an impinging droplet on a hot solid substrate

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    https://doi.org/10.1016/j.ijheatfluidflow.2016.10.003 [Citations: 13]

  18. Enhancement of a 2D front-tracking algorithm with a non-uniform distribution of Lagrangian markers

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  19. Modelling a surfactant-covered droplet on a solid surface in three-dimensional shear flow

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  25. A phase-field moving contact line model with soluble surfactants

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  27. Improved lattice Boltzmann model for moving contact-line with soluble surfactant

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  28. Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations

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  29. Simulations of impinging droplets with surfactant-dependent dynamic contact angle

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  30. A non-isothermal thermohydrodynamics phase-field model for liquid–vapor phase transitions with soluble surfactants

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  31. An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants

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  32. Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants

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  33. Numerical Study of Droplet Dynamics on a Solid Surface with Insoluble Surfactants

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  34. Simulation of moving contact lines in two-phase polymeric fluids

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  35. An energy-stable method for a phase-field surfactant model

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  36. Nonlinear coupling effects of the thermocapillarity and insoluble surfactants to droplet migration under Poiseuille flow

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  37. A level-set method for two-phase flows with moving contact line and insoluble surfactant

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  38. Front tracking simulation of droplet displacement on solid surfaces by soluble surfactant-driven flows

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  39. Surfactant-laden droplet behavior on wetting solid wall with non-Newtonian fluid rheology

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  43. A conservative scheme for solving coupled surface-bulk convection–diffusion equations with an application to interfacial flows with soluble surfactant

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