Droplet dynamics on patterned substrates

Dupuis, Alexandre; Yeomans, J. M.

doi:10.1007/bf02704164

Cited by 7 publications

(6 citation statements)

References 13 publications

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“…The droplet seems to try to avoid the hydrophobic surface, and covers solely on the hydrophilic region eventually. Our numerical results agree quite well with the results presented in [24,25,26,27] using the lattice Boltzmann method. 5.…”

Section: 3supporting

confidence: 89%

3D adaptive finite element method for a phase field model for the moving contact line problems

Shi¹,

Bao²,

Wang³

2013

Inverse Problems &Amp; Imaging

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In this paper, we propose an adaptive finite element method for simulating the moving contact line problems in three dimensions. The model that we used is the coupled Cahn-Hilliard Navier-Stokes equations with the generalized Navier boundary condition(GNBC) proposed in [1]. In our algorithm, to improve the efficiency of the simulation, we use the residual type adaptive finite element algorithm. It is well known that the phase variable decays much faster away from the interface than the velocity variables. Therefore we use an adaptive strategy that will take into account of such difference. Numerical experiments show that our algorithm is both efficient and reliable.

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Section: 3supporting

confidence: 89%

3D adaptive finite element method for a phase field model for the moving contact line problems

Shi¹,

Bao²,

Wang³

2013

Inverse Problems &Amp; Imaging

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“…Thereafter it starts to shrink and ultimately disappears. Rather than slipping to the hydrophilic region as shown in the results by Dupuis and Yeomans (2005a), the droplet still spans the intersecting hydrophobic strips at the final spreading stage, because the diameter of the droplet is relative bigger to the hydrophobic strips and the initial location of the droplet is close to the center of the intersecting hydrophobic strips.…”

Section: Effect Of the Initial Location Of Droplet On Spreading Processmentioning

confidence: 90%

Analysis of single droplet dynamics on striped surface domains using a lattice Boltzmann method

Chang

Alexander

2006

Microfluid Nanofluid

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In this paper, the behavior of a micron-scale fluid droplet on a heterogeneous surface is investigated using a two-phase lattice Boltzmann method (LBM). The two-phase LBM permits the simulation of the time dependent three-dimensional motion of a liquid droplet on solid surface patterned with hydrophobic and hydrophilic strips. A nearest-neighbor molecular interaction force is used to model the adhesive forces between the fluid and solid walls. The solid heterogeneous wall is a uniform hydrophilic substrate painted with hydrophobic strips. The model is validated by demonstrating the consistency of the simulation results with an exact solution for capillary rise and through qualitative comparison of computed dynamic contact line behavior with experimentally measured surface properties and observed surface shapes of a droplet on a heterogeneous surface. The dependence of spreading behavior on wettability, the width of hydrophobic strip, initial location of the droplet relative to the strips, and gravity is investigated. A decrease in contact angle of the liquid on a hydrophilic surface may lead to breakup of the droplet for certain substrate patterns. The simulations suggest that the present lattice Boltzmann (LB) model can be used as a reliable way to study fluidic control on heterogeneous surfaces and other wetting related subjects.

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“…doi:10.1016/j.jcp.2010.07.007 conditions. Léopoldès et al [21], Dupuis et al [22], and Kusumaatma et al [23] investigated spreading of droplets on chemically and topologically patterned substrates using the free energy approach [24,25].…”

Section: Introductionmentioning

confidence: 99%