2018
DOI: 10.1021/acs.langmuir.8b02374
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Macroscopic Model for Sessile Droplet Evaporation on a Flat Surface

Abstract: Evaporation of sessile droplets on a flat surface involves a complex interplay between phase change, diffusion, advection, and surface forces. In an attempt to significantly reduce the complexity of the problem and to make it manageable, we propose a simple model hinged on a surface free-energy-based relaxation dynamics of the droplet shape, a diffusive evaporation model, and a contact line pinning mechanism governed by a yield stress. Our model reproduces the known dynamics of droplet shape relaxation and of … Show more

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Cited by 22 publications
(13 citation statements)
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References 64 publications
(225 reference statements)
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“…In agreement with the water droplet size observed in the mineral oil drops (see section 2.2), the evaporation of the fL‐scale water droplets would not significantly occur during their formation. Indeed, by considering its speed (about 4 m s −1 ) and the distance between the nozzle and the oil drop surface (<1 mm), a typical fL‐scale water droplet forms at the nozzle in about 15–20 µs and needs not more than 0.2–0.3 ms to reach the oil drop, whereas by following the model of van der Heijden et al, the evaporation of 15–40 fL aqueous droplets is predicted in a range of 4–10 ms.…”
Section: Resultsmentioning
confidence: 99%
“…In agreement with the water droplet size observed in the mineral oil drops (see section 2.2), the evaporation of the fL‐scale water droplets would not significantly occur during their formation. Indeed, by considering its speed (about 4 m s −1 ) and the distance between the nozzle and the oil drop surface (<1 mm), a typical fL‐scale water droplet forms at the nozzle in about 15–20 µs and needs not more than 0.2–0.3 ms to reach the oil drop, whereas by following the model of van der Heijden et al, the evaporation of 15–40 fL aqueous droplets is predicted in a range of 4–10 ms.…”
Section: Resultsmentioning
confidence: 99%
“…Both alternatives could induce a temporary pinning of the contact line, until the contact angle has dropped sufficiently, such that depinning occurs. 36 A detailed model for such a precipitation mechanism underlying the first pinning event is presented in Ref. [23].…”
Section: Discussionmentioning
confidence: 99%
“…This then implies that the compound concentration C l = C l (t) within the liquid is independent of the position in the drop. This is a reasonable approximation, provided that the droplet shape relaxation time is much shorter than both the evaporation time and the diffusive timescale of the compound in the thin film 20 .…”
Section: Theorymentioning
confidence: 98%
“…In order to describe the droplet dynamics during evaporation, we may use a simple macroscopic model, such as presented in van der Heijden, Darhuber, and van der Schoot 20 . This model combines the relaxation of the droplet shape, diffusive evaporation and contact line pinning of the droplet, and describes the observed dynamics of evaporating droplets remarkably well.…”
Section: Theorymentioning
confidence: 99%