A homotopy continuation approach for analysing finite-time singularities in thin liquid films

2013 ◽  
Vol 78 (4) ◽  
pp. 762-776 ◽  
Author(s):  
D. Tseluiko ◽  
J. Baxter ◽  
U. Thiele
Keyword(s):  
Finite Time ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Homotopy Continuation ◽  
Time Singularities

scholarly journals Approach to universal self-similar attractor for the levelling of thin liquid films

Soft Matter ◽  
2014 ◽  
Vol 10 (43) ◽  
pp. 8608-8614 ◽  
Author(s):  
Michael Benzaquen ◽  
Paul Fowler ◽  
Laetitia Jubin ◽  
Thomas Salez ◽  
Kari Dalnoki-Veress ◽  
...  
Keyword(s):  
Finite Time ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Lubrication Theory ◽  
Self Similar ◽  
Universal Attractor

Nanofilm experiments combined with lubrication theory demonstrate how surface perturbations forget their shape in finite time and reach a universal attractor.

scholarly journals Evaporation effects in elastocapillary aggregation

2016 ◽  
Vol 792 ◽  
pp. 168-185 ◽  
Author(s):  
Andreas Hadjittofis ◽  
John R. Lister ◽  
Kiran Singh ◽  
Dominic Vella
Keyword(s):  
Surface Tension ◽  
Fluid Flow ◽  
Pattern Formation ◽  
Finite Time ◽  
Body Problem ◽  
Evaporation Rate ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Lubrication Theory ◽  
Two Body Problem

We consider the effect of evaporation on the aggregation of a number of elastic objects due to a liquid’s surface tension. In particular, we consider an array of spring–block elements in which the gaps between blocks are filled by thin liquid films that evaporate during the course of an experiment. Using lubrication theory to account for the fluid flow within the gaps, we study the dynamics of aggregation. We find that a non-zero evaporation rate causes the elements to aggregate more quickly and, indeed, to contact within finite time. However, we also show that the final number of elements within each cluster decreases as the evaporation rate increases. We explain these results quantitatively by comparison with the corresponding two-body problem and discuss their relevance for controlling pattern formation in elastocapillary systems.

HEAT TRANSFER IN THIN LIQUID FILMS FLOWING DOWN HEATED INCLINED GROOVED PLATES

2010 ◽  
Vol 2 (5) ◽  
pp. 455-468 ◽  
Author(s):  
Hongyi Yu ◽  
Karsten Loffler ◽  
Tatiana Gambaryan-Roisman ◽  
Peter Stephan
Keyword(s):  
Heat Transfer ◽  
Liquid Films ◽  
Thin Liquid Films

scholarly journals Evaporation-driven solutocapillary flow of thin liquid films over curved substrates

2019 ◽  
Vol 4 (3) ◽  
Author(s):  
Mariana Rodríguez-Hakim ◽  
Joseph M. Barakat ◽  
Xingyi Shi ◽  
Eric S. G. Shaqfeh ◽  
Gerald G. Fuller
Keyword(s):  
Liquid Films ◽  
Thin Liquid Films

scholarly journals Two-layer modeling of thermally induced Bénard convection in thin liquid films: Volume of fluid approach vs thin-film model

AIP Advances ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 045317
Author(s):  
Ali Mohammadtabar ◽  
Hadi Nazaripoor ◽  
Adham Riad ◽  
Arman Hemmati ◽  
Mohtada Sadrzadeh
Keyword(s):  
Thin Film ◽  
Volume Of Fluid ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Thermally Induced ◽  
Film Model ◽  
Bénard Convection ◽  
Thin Film Model ◽  
Benard Convection

Film Elasticity and Film Stabilization in Firefighting Foam Stabilized by Solid Particles

2017 ◽  
Vol 744 ◽  
pp. 346-349
Author(s):  
Xiu Juan Li ◽  
Rui Song Guo ◽  
Min Zhao
Keyword(s):  
Life Time ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Solid Particles ◽  
High Concentration ◽  
Hydration Effect ◽  
Fixed Area ◽  
The Stability ◽  
Hydration Layers ◽  
Hydration Forces

The structure of the thin liquid films determines the stability of foams and emulsions. In this work the bubbles stretched length with different hollow SiO2 particles concentration is measured when the foam has been stilled for different time. The results show that the bubbles stretched length is longer than that of bubbles when the foam is free of hollow SiO2 particles even when the foam has been stilled for 500mins. The bubbles stretched length increases with increasing the concentration of hollow SiO2 particles. A strong hydration effect leaves a large volume of hydration layers on the solid particles surfaces in aqueous solutions. The water in hydration layers can help the film keep a certain thickness. The existence of hydration forces leads that two particles cannot be too close each other. The high concentration surfactant limited in the fixed area helps the film keep good elasticity. Therefore the film has a long life time with compatible thickness and elasticity and the three-phrase foam is upper stable.

Rupture of Thin Liquid Films Induced by Impinging Air-Jets

Langmuir ◽  
2012 ◽  
Vol 28 (26) ◽  
pp. 9977-9985 ◽  
Author(s):  
Christian W. J. Berendsen ◽  
Jos C. H. Zeegers ◽  
Geerit C. F. L. Kruis ◽  
Michel Riepen ◽  
Anton A. Darhuber
Keyword(s):  
Liquid Films ◽  
Thin Liquid Films ◽  
Air Jets
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