A lattice Boltzmann model for contact-line motions

Kawasaki, Akio; Onishi, Junya; Chen, Y.; Ohashi, Hirotada

doi:10.1016/j.camwa.2007.08.026

Cited by 21 publications

(8 citation statements)

References 14 publications

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“…It is worth noting that many authors have encountered a parasitic flow around a curved interface in numerically solving the hydrodynamic equations in two-phase states [45,52]. It remains nonvanishing even when the system should tend to equilibrium without applied heat flow.…”

Section: Simulation Methodsmentioning

confidence: 99%

“…Various mesoscopic (coarse-grained) simulation methods have also been used to investigate two-fluid hydrodynamics, where the interface has a finite thickness. We mention phase field models of fluids (mostly treating incompressible binary mixtures) [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45], where the gradient stress is included in the hydrodynamic equations (see a review in Ref. [32]).…”

Section: Introductionmentioning

confidence: 99%

“…Our finding there is that evaporation occurs mostly near the contact line. We also mention the lattice Boltzmann method to simulate the continuum equations, where the molecular velocity takes discrete values [37][38][39][40]45]. However, this method has not yet been fully developed to describe evaporation and condensation.…”

Section: Introductionmentioning

confidence: 99%

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Spreading with evaporation and condensation in one-component fluids

Teshigawara

Ōnuki

2010

Phys. Rev. E

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We investigate the dynamics of spreading of a small liquid droplet in gas in a one-component simple fluid, where the temperature is inhomogeneous around 0.9Tc and latent heat is released or generated at the interface upon evaporation or condensation (with Tc being the critical temperature). In the scheme of the dynamic van der Waals theory, the hydrodynamic equations containing the gradient stress are solved in the axisymmetric geometry. We assume that the substrate has a finite thickness and its temperature obeys the thermal diffusion equation. A precursor film then spreads ahead of the bulk droplet itself in the complete wetting condition. Cooling the substrate enhances condensation of gas onto the advancing film, which mostly takes place near the film edge and can be the dominant mechanism of the film growth in a late stage. The generated latent heat produces a temperature peak or a hot spot in the gas region near the film edge. On the other hand, heating the substrate induces evaporation all over the interface. For weak heating, a steady-state circular thin film can be formed on the substrate. For stronger heating, evaporation dominates over condensation, leading to eventual disappearance of the liquid region.

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Section: Simulation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spreading with evaporation and condensation in one-component fluids

Teshigawara

Ōnuki

2010

Phys. Rev. E

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“…The lattice Boltzmann method has also shown promising results for chemically and geometrically patterned surfaces. [29][30][31][32][33][34][35] However, an approach that can readily model the wetting of different topographical shapes with the required accuracy under a different set of operating conditions is still required. This study aims to fill this gap by investigating the classical finite-element-based numerical simulation technique.…”

Section: Introductionmentioning

confidence: 99%

Effect of topography on the wetting of nanoscale patterns: experimental and modeling studies

Grewal

Cho

et al. 2014

Nanoscale

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We investigated the influence of nanoscale pattern shapes, contours, and surface chemistry on wetting behavior using a combination of experimental and modeling approaches. Among the investigated topographical shapes, re-entrant geometries showed superior performance owing to their ability to restrain the liquid-air interface in accordance with Gibbs criteria. The wetting state is also controlled by the surface texture in addition to the surface chemistry. Topographies with smaller intrinsic angles are better able to support the liquid droplet. Based on these observations, two geometrical relationships for designing superhydrophobic patterns exhibiting the Cassie-Baxter state are proposed. A detailed analysis of the simulation results showed the presence of viscous forces during the initial transient phase of the droplet interaction with the solid surface even at negligible normal velocity, which was verified experimentally using a high-speed imaging technique. During this transient phase, for a polystyrene surface, the liquid front was observed to be moving with a radial velocity of 0.4 m s(-1), which gradually decreased to almost zero after 35 ms. We observed that the viscous energy dissipation density is influenced by the surface material and topography and the wetting state. The viscous energy dissipation density is minimal in the case of the Cassie-Baxter state, while it becomes quite significant for the Wenzel state. The viscous effects are reduced for topographies with smooth geometries and surfaces with high slip length.

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“…See supplementary material for the mathematical formulation of two chemical potentials µ and µ p shown in Equation (9). …”

Section: Supplementary Materialsmentioning

confidence: 99%