The dynamics of thin liquid films in the presence of surface-tension gradients

AIChE Journal ◽  
1971 ◽  
Vol 17 (5) ◽  
pp. 1166-1173 ◽  
Author(s):  
V. Ludviksson ◽  
E. N. Lightfoot
Keyword(s):  
Surface Tension ◽  
Liquid Films ◽  
Thin Liquid Films

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.

The spreading of thin liquid films on a water-air interface

1980 ◽  
Vol 101 (1) ◽  
pp. 33-51 ◽  
Author(s):  
M. Foda ◽  
R. G. Cox
Keyword(s):  
Surface Tension ◽  
Liquid Film ◽  
Constitutive Relation ◽  
Similarity Solution ◽  
Thickness Distribution ◽  
Thin Liquid Film ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Air Interface ◽  
Good Agreement

The spreading on a water–air interface of a thin liquid film is examined for the situation in which surface tension gradients drive the motion. A similarity solution is obtained numerically for unidirectional spreading when some general restrictions concerning the form of the liquid film constitutive relation is made. This solution gives the size of the film as a function of time and also the velocity and thickness distribution along the spreading film. Experiments are performed which show good agreement with the theory.

Wetting Angles and Surface Tension in the Crystallization of Thin Liquid Films

1983 ◽  
Vol 23 ◽  
Author(s):  
Eli Yablonovitch ◽  
T. Gmitter
Keyword(s):  
Surface Tension ◽  
Thermal Gradient ◽  
Crystalline Silicon ◽  
Freezing Point ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Small Scale ◽  
Scale Thickness ◽  
Gradient Forces ◽  
Surface Tension Forces

ABSTRACTThe behaviour of thin liquid films is known to be dominated by surface tension forces. We show that the crystallization of thin liquid films requires that two wetting angle conditions be simultaneously satisfied: (i) relating to the liquid–vapour interface and (ii) relating to the crystal–liquid interface. The balance between capillary pressure and thermal gradient forces shows that the equilibrium freezing point of thin films is actually depressed below the bulk freezing point. The magnitude of the effect is 1°K in an 800 Å thick film. These observations suggest that small–scale thickness fluctuations may be responsible for the initiation of sub–grain boundaries in the growth of crystalline silicon films.

scholarly journals Cracks in bursting soap films

2015 ◽  
Vol 778 ◽  
pp. 1-4 ◽  
Author(s):  
J. Bico
Keyword(s):  
Thin Film ◽  
Surface Tension ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Interfacial Rheology ◽  
Soap Films ◽  
Viscous Effects ◽  
Complex Behaviour ◽  
The 1960S ◽  
Surface Tension Forces

The rupture of soap films is traditionally described by a law accounting for a balance between momentum and surface tension forces, derived independently by Taylor and Culick in the 1960s. This law is highly relevant to the dynamics of thin liquid films of jets when viscous effects are negligible. However, the minute amounts of surfactant molecules present in soap films play a major role in interfacial rheology, and may result in complex behaviour. Petit et al. (J. Fluid Mech., vol. 774, 2015, R3) challenge standard thin film dynamics via intriguing experiments conducted with highly elastic surfactants. Unexpected structures reminiscent of faults are observed.

Unsteady spreading of thin liquid films with small surface tension

1991 ◽  
Vol 3 (5) ◽  
pp. 733-742 ◽  
Author(s):  
J. A. Moriarty ◽  
L. W. Schwartz ◽  
E. O. Tuck
Keyword(s):  
Surface Tension ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Small Surface
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