Journal ArticleDOI
The spreading of volatile liquid droplets on heated surfaces
TLDR
In this paper, a two-dimensional volatile liquid droplet on a uniformly heated horizontal surface is considered and a new contact line condition based on mass balance is formulated and used, which represents a leading-order superposition of spreading and evaporative effects.Abstract:
A two‐dimensional volatile liquid droplet on a uniformly heated horizontal surface is considered. Lubrication theory is used to describe the effects of capillarity, thermocapillarity, vapor recoil, viscous spreading, contact‐angle hysteresis, and mass loss on the behavior of the droplet. A new contact‐line condition based on mass balance is formulated and used, which represents a leading‐order superposition of spreading and evaporative effects. Evolution equations for steady and unsteady droplet profiles are found and solved for small and large capillary numbers. In the steady evaporation case, the steady contact angle, which represents a balance between viscous spreading effects and evaporative effects, is larger than the advancing contact angle. This new angle is also observed over much of the droplet lifetime during unsteady evaporation. Further, in the unsteady case, effects which tend to decrease (increase) the contact angle promote (delay) evaporation. In the ‘‘large’’ capillary number limit, matched asymptotics are used to describe the droplet profile; away from the contact line the shape is determined by initial conditions and bulk mass loss, while near the contact‐line surface curvature and slip are important.read more
Citations
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Long-scale evolution of thin liquid films
TL;DR: In this article, a unified mathematical theory is presented that takes advantage of the disparity of the length scales and is based on the asymptotic procedure of reduction of the full set of governing equations and boundary conditions to a simplified, highly nonlinear, evolution equation or to a set of equations.
Journal ArticleDOI
Dynamics and stability of thin liquid films
Richard V. Craster,Omar Matar +1 more
TL;DR: The dynamics and stability of thin liquid films have fascinated scientists over many decades: the observations of regular wave patterns in film flows along a windowpane or along guttering, the patterning of dewetting droplets, and the fingering of viscous flows down a slope are all examples that are familiar in daily life.
Journal ArticleDOI
Analysis of the effects of Marangoni stresses on the microflow in an evaporating sessile droplet.
Hua Hu,Ronald G. Larson +1 more
TL;DR: It is found that surfactant contamination, at a surface concentration as small as 300 molecules/microm(2), can almost entirely suppress the Marangoni flow in the evaporating droplet.
Journal ArticleDOI
Analysis of the microfluid flow in an evaporating sessile droplet.
Hua Hu,Ronald G. Larson +1 more
TL;DR: A finite element algorithm is developed to solve simultaneously the vapor concentration and flow field in the droplet under conditions of slow evaporation and confirms the accuracy of the lubrication solution.
Journal ArticleDOI
Particle convection in an evaporating colloidal droplet
TL;DR: In this article, it was shown that either an outward flow toward the contact line or an inward flow towards the center of the droplet can be induced, depending on the evaporative driving force.
References
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Journal ArticleDOI
On the Spreading of Liquids on Solid Surfaces: Static and Dynamic Contact Lines
TL;DR: In this article, it is shown that the mutual interaction between the three materials in the immediate vicinity of a contact line can significantly affect the statics as well as the dynamics of an entire flow field.
Liquids on solid surfaces: static and dynamic contact lines
TL;DR: In this paper, it is shown that the mutual interaction between the three materials in the immediate vicinity of a contact line can significantly affect the statics as well as the dynamics of an entire flow field.
Journal ArticleDOI
A study of the advancing interface. I. Interface shape in liquid—gas systems
TL;DR: In this article, the shape of the advancing liquid-air interface has been studied in a glass capillary over the range in which viscous and interfacial forces are the dominant factors controlling the system.
Journal ArticleDOI
Nonlinear stability of evaporating/condensing liquid films
TL;DR: In this article, the authors consider horizontal static liquid layers on planar solid boundaries and analyse their instabilities, including the effects of mass loss (or gain) and non-equilibrium thermodynamic effects.