Lattice Boltzmann Simulations of Wetting and Drop Dynamics

Kusumaatmaja, Halim; Yeomans, J. M.

doi:10.1007/978-3-642-12203-3_11

Cited by 16 publications

(9 citation statements)

References 106 publications

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“…Apart from the ability to perform accurate curvature and electric field computations, the main advantage of the proposed methodology is its ability to model electrowetting on geometrically patterned solid dielectric surfaces, where multiple and reconfigurable TPLs arise. Existing fine-scale electrowetting modeling approaches (e.g., molecular dynamics 17,37 and mesoscopic lattice Boltzmann models 15,38,39 ) suffer from severe computational limitations (especially when real millimeter-sized droplets are studied), whereas continuum-level models are based on significant simplifications regarding the actual shape of the droplet and the field distribution 40 at the TPL. As reported above, geometrically patterned dielectrics can admit multiple droplet equilibrium profiles ranging from Cassie−Baxter to Wenzel wetting states.…”

Section: Resultsmentioning

confidence: 99%

“…We should also note that no predefinition of the cardinality and the position of TPLs is required, contrary to previous computational approaches. Cassie–Baxter and Wenzel wetting states can be computed by performing fine scale simulations (molecular dynamics, , lattice Boltzmann models ,, ). However, the required computational cost is considerably higher, especially in cases where real-life millimeter-sized droplets are simulated.…”

Section: Discussionmentioning

confidence: 99%

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Neither Lippmann nor Young: Enabling Electrowetting Modeling on Structured Dielectric Surfaces

2014

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Aiming to illuminate mechanisms of wetting transitions on geometrically patterned surfaces induced by the electrowetting phenomenon, we present a novel modeling approach that goes beyond the limitations of the Lippmann equation and is even relieved from the implementation of the Young contact angle boundary condition. We employ the equations of the capillary electrohydrostatics augmented by a disjoining pressure term derived from an effective interface potential accounting for solid/liquid interactions. Proper parametrization of the liquid surface profile enables efficient simulation of multiple and reconfigurable three-phase contact lines (TPL) appearing when entire droplets undergo wetting transitions on patterned surfaces. The liquid/ambient and the liquid/solid interfaces are treated in a unified context tackling the assumption that the liquid profile is wedge-shaped at any three-phase contact line. In this way, electric field singularities are bypassed, allowing for accurate electric field and liquid surface profile computation, especially in the vicinity of TPLs. We found that the invariance of the microscopic contact angle in electrowetting systems is valid only for thick dielectrics, supporting published experiments. By applying our methodology to patterned dielectrics, we computed all admissible droplet equilibrium profiles, including Cassie-Baxter, Wenzel, and mixed wetting states. Mixed wetting states are computed for the first time in electrowetting systems, and their relative stability is presented in a clear and instructive way.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Neither Lippmann nor Young: Enabling Electrowetting Modeling on Structured Dielectric Surfaces

2014

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“…To solve the equations of motion, eqs –, we employ the ternary lattice-Boltzmann algorithm described in ref . More general details on the lattice-Boltzmann method, including how it recovers the continuum equations of motion, can be found in ref − .…”

Section: Methodsmentioning

confidence: 99%

“…In the case of LIS, it preserves the essential feature of allowing the lubricant to flow in between the surface texture underneath the liquid drop. This setup has been successfully employed to study drop dynamics on flat and superhydrophobic surfaces. ,, …”

Section: Methodsmentioning

confidence: 99%

Drop Dynamics on Liquid-Infused Surfaces: The Role of the Lubricant Ridge

2018

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We employ a free-energy lattice-Boltzmann method to study the dynamics of a ternary fluid system consisting of a liquid drop driven by a body force across a regularly textured substrate, infused by a lubricating liquid. We focus on the case of partial wetting lubricants and observe a rich interplay between contact line pinning and viscous dissipation at the lubricant ridge, which become dominant at large and small apparent angles, respectively. Our numerical investigations further demonstrate that the relative importance of viscous dissipation at the lubricant ridge depends on the drop to lubricant viscosity ratio, as well as on the shape of the wetting ridge.

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“…Direct methods for two-phase fluid flow have a significantly higher computational cost than single phase flow models and are typically solved using Lattice Boltzman methods, as these are highly parallel and relatively easy to implement (Dupuis and Yeomans 2004;Gao et al 2012;Kusumaatmaja et al 2006;Yeomans 2007, 2010;Liu et al 2014;Ramstad et al 2010). The Lattice Boltzmann method is slightly different to the more familiar finite volume and finite element methods.…”

Section: Computational and Modelling Challengesmentioning

confidence: 99%

Challenges in imaging and predictive modeling of rhizosphere processes

et al. 2016

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Background Plant-soil interaction is central to human food production and ecosystem function. Thus, it is essential to not only understand, but also to develop predictive mathematical models which can be used to assess how climate and soil management practices will affect these interactions. Scope In this paper we review the current developments in structural and chemical imaging of rhizosphere processes within the context of multiscale mathematical image based modeling. We outline areas that need more research and areas which would benefit from more detailed understanding. Conclusions We conclude that the combination of structural and chemical imaging with modeling is an incredibly powerful tool which is fundamental for understanding how plant roots interact with soil. We emphasize the need for more researchers to be attracted to this area that is so fertile for future discoveries. Finally, model building must go hand in hand with experiments. In particular, there is a real need to integrate rhizosphere structural and chemical imaging with modeling for better understanding of the rhizosphere processes leading to models which explicitly account for pore scale processes.

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Lattice Boltzmann Simulations of Wetting and Drop Dynamics

Cited by 16 publications

References 106 publications

Neither Lippmann nor Young: Enabling Electrowetting Modeling on Structured Dielectric Surfaces

Neither Lippmann nor Young: Enabling Electrowetting Modeling on Structured Dielectric Surfaces

Drop Dynamics on Liquid-Infused Surfaces: The Role of the Lubricant Ridge

Challenges in imaging and predictive modeling of rhizosphere processes

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