Abstract:Motivated by the industrial manufacture of organic light-emitting-diode displays, we formulate and analyse a mathematical model for the evolution of a thin droplet in a shallow axisymmetric well of rather general shape both before and after touchdown that accounts for the spatially non-uniform evaporation of the fluid, perform physical experiments using three cylindrical wells with different small aspect ratios, and validate the mathematical model by comparing the present experimental results with the correspo… Show more
“…On the other hand, a few theoretical investigations of evaporation of a droplet in a well have also been performed. D’Ambrosio et al formulated a mathematical model for the evolution of a thin droplet in a shallow axisymmetric well and validated the model by comparison with the present experimental results . Ahn et al used the level-set method to extend to three-dimensional computations of liquid film evaporation in circular and square microcavities and investigated the effects of dynamic contact angles and cavity geometry on the film evaporation …”
Inkjet printing has the advantages of high material utilization,
low cost, and large-area production and is a promising manufacturing
technology for organic light-emitting diode (OLED) displays. However,
the droplet evaporation in micron-size pixel pits is highly influenced
by the pit wall. Such a process is extremely difficult to control,
leading to the appearance of defects such as the coffee ring in the
printing process of OLED displays. In this work, a multiphase thermal
lattice Boltzmann (LB) model based on multiple distribution functions
is established to study the evaporation process of micron-size droplets
in pits. According to the characteristics of the largest number of
the three-phase contact line (TCL) appearing in the evaporation process,
the evaporation modes can be divided into three types, i.e., one,
two, and three TCLs. In the 1-TCL mode, the droplet stays in constant
contact radius (CCR) for the shortest time; in 2-TCL and 3-TCL modes,
the liquid film fracture behavior of evaporating droplets in the pit
is well captured. The effects of the pit height and the contact angle
on the droplet evaporation mode are investigated in detail. The phase
diagrams of evaporation modes with different parameters are also established.
The revealed evaporation mechanism is supposed to be useful for regulating
the droplet evaporation behavior and controlling the cured film shape
in the OLED printing process.
“…On the other hand, a few theoretical investigations of evaporation of a droplet in a well have also been performed. D’Ambrosio et al formulated a mathematical model for the evolution of a thin droplet in a shallow axisymmetric well and validated the model by comparison with the present experimental results . Ahn et al used the level-set method to extend to three-dimensional computations of liquid film evaporation in circular and square microcavities and investigated the effects of dynamic contact angles and cavity geometry on the film evaporation …”
Inkjet printing has the advantages of high material utilization,
low cost, and large-area production and is a promising manufacturing
technology for organic light-emitting diode (OLED) displays. However,
the droplet evaporation in micron-size pixel pits is highly influenced
by the pit wall. Such a process is extremely difficult to control,
leading to the appearance of defects such as the coffee ring in the
printing process of OLED displays. In this work, a multiphase thermal
lattice Boltzmann (LB) model based on multiple distribution functions
is established to study the evaporation process of micron-size droplets
in pits. According to the characteristics of the largest number of
the three-phase contact line (TCL) appearing in the evaporation process,
the evaporation modes can be divided into three types, i.e., one,
two, and three TCLs. In the 1-TCL mode, the droplet stays in constant
contact radius (CCR) for the shortest time; in 2-TCL and 3-TCL modes,
the liquid film fracture behavior of evaporating droplets in the pit
is well captured. The effects of the pit height and the contact angle
on the droplet evaporation mode are investigated in detail. The phase
diagrams of evaporation modes with different parameters are also established.
The revealed evaporation mechanism is supposed to be useful for regulating
the droplet evaporation behavior and controlling the cured film shape
in the OLED printing process.
A mathematical model for the effect of the spatial variation of the local evaporative flux on the evaporation of and deposition from a thin pinned particle-laden sessile droplet is formulated and solved. We then analyse the behaviour for a one-parameter family of local evaporative fluxes with the free parameter
$n \, (>-1)$
that exhibits qualitatively different behaviours mimicking those that can be obtained by, for example, surrounding the droplet with a bath of fluid or using a mask with one or more holes in it to achieve a desired pattern of evaporation enhancement and/or suppression. We show that when
$-1< n<1$
(including the special cases
$n=-1/2$
of diffusion-limited evaporation into an unbounded atmosphere and
$n=0$
of spatially uniform evaporation), all of the particles are eventually advected to the contact line, and so the final deposit is a ring deposit at the contact line, whereas when
$n>1$
all of the particles are eventually advected to the centre of the droplet, and so the final deposit is at the centre of the droplet. In particular, the present work demonstrates that a singular (or even a non-zero) evaporative flux at the contact line is not an essential requirement for the formation of a ring deposit. In addition, we calculate the paths of the particles when diffusion is slower than both axial and radial advection, and show that in this regime all of the particles are captured by the descending free surface before eventually being deposited onto the substrate.
“…Likewise, Deegan et al presented the deposition patterns of the evaporated droplet for a wide range of surfaces, solvents, and solutes. The evaporation phenomena of droplet and extreme modes of contact angle on a strongly hydrophobic substrates were discussed briefly by Stauber et al The comparison of theoretical predictions with the experimental results on variation of a thin droplet in a shallow well and the effect of non-uniform evaporation of the fluid were presented by Ambrosio et al Tomo et al reported the variation of ultrathin films in nanotubes with the addition of molecular interactions and balance of pressure variations in the formation of the meniscus in the ultrathin films. Also, there are several applications of the liquid bridges like many medical problems involving respiratory diseases, and the health of the body joints depends on liquid bridges .…”
The present article highlights an approach to generating contrasting patterns from drying colloidal droplets in a liquid bridge configuration, different from well-known coffee rings. Reduction of the confinement distance (the gap between the solid surfaces) leads to systematized nanoparticle agglomeration yielding spoke-like patterns similar to those found on scallop shells instead of circumferential edge deposition. Alteration of the confinement distance modulates the curvature that entails variations in the evaporation flux across the liquid−vapor interface. Consequently, flow inside different liquid bridges (LBs) varies significantly for different confinement distance. Small confinement distance results in the stick−slip motion of squeezed liquid bridges. On the contrary, the stretched LBs exhibit pinned contact lines. The confinement distance determines the characteristic length scales of the thin film formed near the contact line, and its theoretical estimations are validated against the experimental observations using reflection interferometry, further exhibiting good agreement (in order of magnitude). We decipher a proposition that a drying liquid thin film (height ∼ O(10 −7 )m) present during dewetting near the three-phase contact line is responsible for the aligned deposition of particles. The coupled interplay of contact line dynamics, evaporation induced advection, and dewetting of the thin film at a threephase interface contributes to the differences in deposition patterns.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.