Lattice-Boltzmann simulations of droplet evaporation

Ledesma‐Aguilar, Rodrigo; Vella, Dominic; Yeomans, J. M.

doi:10.1039/c4sm01291g

Cited by 74 publications

(65 citation statements)

References 27 publications

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“…Therefore, it is not surprising that a number of groups has simulated evaporating fluids using the LBM recently. Ledesma-Aguilar et al [22,23] present a diffusion based evaporation method based on the free energy multiphase lattice Boltzmann method and demonstrate quantitative agreement with several benchmark cases as well as qualitative agreement with the experimental data of evaporating droplet arrays. Jansen et al [24] study the evaporation of droplets on a chemically patterned substrate and qualitatively compare the simulation results with experimental data.…”

Section: Introductionmentioning

confidence: 71%

Diffusion dominated evaporation in multicomponent lattice Boltzmann simulations

Hessling

Xie

Harting

2017

The Journal of Chemical Physics

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We present a diffusion dominated evaporation model using the popular pseudopotential multicomponent lattice Boltzmann method introduced by Shan and Chen. With an analytical computation of the diffusion coefficients, we demonstrate that Fick's law is obeyed. We then validate the applicability of our model by demonstrating the agreement of the time evolution of the interface position of an evaporating planar film to the analytical prediction. Furthermore, we study the evaporation of a freely floating droplet and confirm that the effect of Laplace pressure is significant for predicting the time evolution of small droplet radii.

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Section: Introductionmentioning

confidence: 71%

Diffusion dominated evaporation in multicomponent lattice Boltzmann simulations

Hessling

Xie

Harting

2017

The Journal of Chemical Physics

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“…Unless stated otherwise, the initial footprint diameter of the drop was L 0 = 60. This choice of parameters has already been validated in 12 .…”

Section: Appendix: Numerical Modelmentioning

confidence: 99%

“…12 . The droplet-bulk system is considered as a binary liquid and by setting the chemical potential of the model at a value away from equilibrium, one phase is favored over the other.…”

Section: Numerical Proceduresmentioning

confidence: 99%

“…4. Deviations from the theoretical curve occur because of the difficulty of separating time scales i.e., transient effects: for simulations of a reasonable duration (in terms of CPU-time), the dissolution time is not sufficiently long compared to the diffusive time and the system is not exactly in diffusive equilibrium at all times 12 . * Note that one cannot simply wait for a droplet with V 0 > 20 nL to dissolve down to V = 20 nL, as this would result in different waiting times, and with that variations in the volumes of the neighboring droplets.…”

Section: Single Dropletmentioning

confidence: 99%

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Collective and convective effects compete in patterns of dissolving surface droplets

Laghezza¹,

Dietrich

Yeomans³

et al. 2016

Soft Matter

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Detlef (2016) Collective and convective effects compete in patterns of dissolving surface droplets. Soft Matter, 12 (26 Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) This is an Accepted Manuscript, which has been through the Royal Society of Chemistry peer review process and has been accepted for publication.Accepted Manuscripts are published online shortly after acceptance, before technical editing, formatting and proof reading. Using this free service, authors can make their results available to the community, in citable form, before we publish the edited article. We will replace this Accepted Manuscript with the edited and formatted Advance Article as soon as it is available.You can find more information about Accepted Manuscripts in the Information for Authors. The effect of neighboring droplets on the dissolution of a sessile droplet, i.e. collective effects, are investigated both experimentally and numerically. On the experimental side small 20 n approximately mono-disperse surface droplets arranged in an ordered pattern were dissolved and their size evolution is studied optically. The droplet dissolution time was studied for various droplet patterns. On the numerical side, Lattice-Boltzmann simulations were performed. Both simulations and experiments show that the dissolution time of a droplet placed in the center of a pattern can increase with as much as 60% as compared to a single, isolated droplet, due to the shielding effect of the neighboring droplets. However, the experiments also show that neighboring droplets enhance the buoyancy driven convective flow of the bulk, increasing the mass exchange and counteracting collective effects. We show that this enhanced convection can reduce the dissolution time of droplets at the edges of the pattern to values below that of a single, isolated droplet.

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“…In addition to PEM fuel cells, droplets with time-dependent volume are found in many other applications and natural systems, such as for example microemulsification, problems with non-equilibrium thermal effects, such as evaporation and condensation, 7,[18][19][20][21][22][23][24] and chaotic behaviour such as drops in a dripping faucet, 25,26 but also natural systems such as droplet growth in speleothem drip sites. 27 In addition to its significance in numerous applications in nature and technology, understanding the interplay between dynamic volume variation and other parameters, e.g.…”

Section: -17mentioning

confidence: 99%

Dynamics of Fattening and Thinning 2D Sessile Droplets

Pradas

Savva

Benziger³

et al. 2016

Langmuir

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We investigate the dynamics of a droplet on a planar substrate as the droplet volume changes dynamically due to liquid being pumped in or out through a pore. We adopt a diffuse-interface formulation which is appropriately modified to account for a localized inflow-outflow boundary condition (the pore) at the bottom of the droplet, hence allowing to dynamically control its volume, as the droplet moves on a flat substrate with a periodic chemical pattern. We find that the droplet undergoes a stick-slip 1 motion as the volume is increased (fattening droplet) which can be monitored by tracking the droplet contact points. If we then switch over to outflow conditions (thinning droplet) the droplet follows a different path (i.e. the distance of the droplet midpoint from the pore location evolves differently) giving rise to a hysteretic behavior. By means of geometrical arguments we are able to theoretically construct the full bifurcation diagram of the droplet equilibria (positions and droplet shapes) as the droplet volume is changed, finding excellent agreement with time-dependent computations of our diffuse-interface model.

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Lattice-Boltzmann simulations of droplet evaporation

Cited by 74 publications

References 27 publications

Diffusion dominated evaporation in multicomponent lattice Boltzmann simulations

Diffusion dominated evaporation in multicomponent lattice Boltzmann simulations

Collective and convective effects compete in patterns of dissolving surface droplets

Dynamics of Fattening and Thinning 2D Sessile Droplets

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