Mesoscopic Modelling of Droplets on Topologically Patterned Substrates

Dupuis, Alexandre; Yeomans, J. M.

doi:10.1007/978-3-540-25944-2_72

Cited by 7 publications

(7 citation statements)

References 11 publications

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“…Details of such modeling have been published elsewhere. 31 The advantage of this approach for the wetting problem is that it allows us to tune the local equilibrium thermodynamic properties such as the surface tension or static contact angle to agree with analytic predictions. In particular, we have previously proved that this method describes very well the spreading of droplets on chemically patterned substrates.…”

Section: ∆G ) γ(1cos θ)Amentioning

confidence: 99%

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Uniform Nanoscopic Polystyrene Patterns Produced from a Microscopic Mold

2004

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We demonstrate a molded dewetting (MD) process that is capable of producing highly regular and reproducible nanoscopic polymer patterns using a microscopic patterned mold. Theoretical simulations confirm that this MD process does not rely on specific interactions between the polymer and the substrate or the mold, hence it can be used for general purpose patterning. This nanoscale patterning method can also be combined with other approaches such as microcontact printing to produce complex structures.

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Section: ∆G ) γ(1cos θ)Amentioning

confidence: 99%

“…We have modeled the present situation by using free energy lattice Boltzmann calculations, which solve the Navier−Stokes equations of motion and minimize the system free energy. Details of such modeling have been published elsewhere …”

mentioning

confidence: 99%

Uniform Nanoscopic Polystyrene Patterns Produced from a Microscopic Mold

2004

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“…The first article to use lattice Boltzmann to simulate superhydrophobic surfaces [27] used a set of velocity boundary conditions were to determine the missing elements of the distribution function near the fluid-wall boundary. The bounce-back condition can be modified so that the reflection to occur on the node instead of between nodes, and this approach has also been applied for studies of superhydrophobic surfaces [28].…”

Section: Boundary Conditionsmentioning

confidence: 99%

Oriented ordering parameters for free energy lattice Boltzmann methods using the bounce-back boundary condition

Stensholt¹

2016

Computers & Mathematics with Applications

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a b s t r a c tWe evaluate the Lattice-Boltzmann model that combines the free energy approach for multiphase flow with the bounce-back boundary condition. This method requires a virtual ordering parameter to be assigned to the wall nodes. Existing literature has assigned a single ordering parameter for the entire wall node, but this is too coarse to give accurate simulations since it allows for a spurious interaction of different phases through the wall nodes. The consequences are illustrated by examining rough and hydrophobic surfaces where contact angles can be predicted using the Cassie-Baxter equation. It is found that the single value approach gives a large systemic error in the measured contact angles. Considerable improvement can be obtained by assigning different values of the ordering parameter to each side of the wall node.

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“…Hence we argue that an asymmetrical choice can be used. See Reference [3] for a listing of the possible conditions.…”

Section: Velocity Boundary Conditionsmentioning

confidence: 99%

“…Moreover its natural length scale, for uids such as water, is of order microns where much of the exciting new physics is expected to appear. The method has already shown its capability in dealing with spreading on surfaces with chemical [2] and topological patterning [3].…”

Section: Introductionmentioning

confidence: 99%