On the lifetimes of evaporating droplets with related initial and receding contact angles

Stauber, Jutta; Wilson, S. K.; Duffy, Brian; Sefiane, Khellil

doi:10.1063/1.4935232

Cited by 95 publications

(113 citation statements)

References 37 publications

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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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Section: -17mentioning

confidence: 99%

Dynamics of Fattening and Thinning 2D Sessile Droplets

Pradas

Savva

Benziger³

et al. 2016

Langmuir

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“…In practice, however, droplets often evaporate in the so-called stick-slide (SS) mode consisting of a CR phase followed by a CA phase (see, for example, Nguyen &Nguyen 2012 andDash &Garimella 2013), and so Stauber et al (2014Stauber et al ( , 2015 calculated the lifetime of a droplet evaporating in this mode. Other modes of evaporation can, of course, also occur, notably the so-called stick-jump (SJ) mode in which the droplet evaporates in a series of stick (i.e.…”

Section: Introductionmentioning

confidence: 99%

The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects

et al. 2018

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The evaporation of sessile droplets is analysed when the influence of the thermal properties of the system is strong. We obtain asymptotic solutions for the evolution, and hence explicit expressions for the lifetimes, of droplets when the substrate has a high thermal resistance relative to the droplet and when the saturation concentration of the vapour depends strongly on temperature. In both situations we find that the lifetimes of the droplets are significantly extended relative to those when thermal effects are weak.

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“…The quantity Q * is needed to determine the evolution of the volume of the drop and thus the extinction time (at which the drop volume vanishes), even in models that do not consider the detailed hydrodynamics of motion [29,30]. We see that if the contact line is pinned (so that the contact-set radius R is constant) the model (3)- (7) is independent of time-i.e.…”

Section: Formulationmentioning

confidence: 99%

Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

et al. 2017

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We consider the transport of vapour caused by the evaporation of a thin, axisymmetric, partially wetting drop into an inert gas. We take kinetic effects into account through a linear constitutive law that states that the mass flux through the drop surface is proportional to the difference between the vapour concentration in equilibrium and that at the interface. Provided that the vapour concentration is finite, our model leads to a finite mass flux in contrast to the contact-line singularity in the mass flux that is observed in more standard models that neglect kinetic effects. We perform a local analysis near the contact line to investigate the way in which kinetic effects regularize the mass-flux singularity at the contact line. An explicit expression is derived for the mass flux through the free surface of the drop. A matched-asymptotic analysis is used to further investigate the regularization of the mass-flux singularity in the physically relevant regime in which the kinetic timescale is much smaller than the diffusive one. We find that the effect of kinetics is limited to an inner region near the contact line, in which kinetic effects enter at leading order and regularize the mass-flux singularity. The inner problem is solved explicitly using the Wiener-Hopf method and a uniformly valid composite expansion is derived for the mass flux in this asymptotic limit.

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On the lifetimes of evaporating droplets with related initial and receding contact angles

Cited by 95 publications

References 37 publications

Dynamics of Fattening and Thinning 2D Sessile Droplets

Dynamics of Fattening and Thinning 2D Sessile Droplets

The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects

Kinetic effects regularize the mass-flux singularity at the contact line of a thin evaporating drop

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