2000
DOI: 10.1103/physreve.62.756
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Contact line deposits in an evaporating drop

Abstract: Solids dispersed in a drying drop will migrate to the edge of the drop and form a solid ring. This phenomenon produces ringlike stains and occurs for a wide range of surfaces, solvents, and solutes. Here we show that the migration is caused by an outward flow within the drop that is driven by the loss of solvent by evaporation and geometrical constraint that the drop maintain an equilibrium droplet shape with a fixed boundary. We describe a theory that predicts the flow velocity, the rate of growth of the ring… Show more

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Cited by 2,025 publications
(2,596 citation statements)
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“…Finally, there is a wide body of literature concerning the application of hydrodynamic models to the problem of film drying [26,27]. These models explicitly account for the motion of the liquid phase and have been used to understand flow-driven solute deposition, e.g., the coffee-stain effect [28,29,30,31]; skin formation [32,33]; and the onset of Marangoni instabilities caused by composition gradients at the evaporating surface [34,35,36,37,38].…”
Section: Introductionmentioning
confidence: 99%
“…Finally, there is a wide body of literature concerning the application of hydrodynamic models to the problem of film drying [26,27]. These models explicitly account for the motion of the liquid phase and have been used to understand flow-driven solute deposition, e.g., the coffee-stain effect [28,29,30,31]; skin formation [32,33]; and the onset of Marangoni instabilities caused by composition gradients at the evaporating surface [34,35,36,37,38].…”
Section: Introductionmentioning
confidence: 99%
“…For an evaporating drop, one would guess naively that the surface area governs the evaporation rate; however for drops smaller than about a centimeter in a temperaturecontrolled environment, detailed experiments show that the rate is proportional to the drop radius R for both pinned (Deegan et al 2000b;Crafton & Black 2004;David et al 2007;Gelderblom et al 2011) and moving contact lines (Cachile et al 2002a,b;Poulard et al 2003;Shahidzadeh-Bonn et al 2006;Starov & Sefiane 2009). In fact, in the regime of slow evaporation considered here the evaporation is quasi-steady (Cazabat & Guéna 2010;Stauber et al 2015), hence evaporation rates are defined by the instantaneous drop shapes.…”
Section: Introductionmentioning
confidence: 99%
“…It is well known that the withdrawing contact line in a drying droplet of colloidal suspensions shows pattern formations such as coffee ring, branch, and network structures [16][17][18][19]. In addition, the mechanisms of particle aggregation have been studied with regard to diffusion-limited aggregation (DLA) and cluster-cluster aggregation (CCA), although the simulations were carried out in the bulk phase [24][25][26][27].…”
Section: Wetting Behavior Of Colloidal Dispersions With Thickeningmentioning
confidence: 99%
“…The migration is caused by an outward flow within the drop that is driven by the loss of solvent (through evaporation) and geometrical constraints requiring that the drop maintain an equilibrium droplet shape with a fixed boundary [16][17][18][19]. The dewetting causes the formation of finger-like patterns near the contact line which leave behind a deposit of branches.…”
Section: Introductionmentioning
confidence: 99%