Robust fadeout profile of an evaporation stain

Witten, Thomas A.

doi:10.1209/0295-5075/86/64002

Cited by 32 publications

(34 citation statements)

References 19 publications

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“…Ref. [94] where the profile of the deposited ring is discussed. Note that these models assume that the contact line remains pinned at its initial position and are therefore not able to describe extended deposition patterns.…”

Section: Modelsmentioning

confidence: 99%

Patterned deposition at moving contact lines

Thiele

2014

Advances in Colloid and Interface Science

112

150

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When a simple or complex liquid recedes from a smooth solid substrate it often leaves a homogeneous or structured deposit behind. In the case of a receding non-volatile pure liquid the deposit might be a liquid film or an arrangement of droplets depending on the receding speed of the meniscus and the wetting properties of the system. For complex liquids with volatile components as, e.g., polymer solutions and particle or surfactant suspensions, the deposit might be a homogeneous or structured layer of solute -with structures ranging from line patterns that can be orthogonal or parallel to the receding contact line via hexagonal or square arrangements of drops to complicated hierarchical structures. We review a number of recent experiments and modelling approaches with a particular focus on mesoscopic hydrodynamic long-wave models. The conclusion highlights open question and speculates about future developments. * Electronic address: u.thiele@lboro.ac.uk;

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Section: Modelsmentioning

confidence: 99%

Patterned deposition at moving contact lines

Thiele

2014

Advances in Colloid and Interface Science

112

150

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“…3,22,30,53 Various reduced models have been developed that: relate the interaction between the contact line and the deposit that is formed, in terms of a pinning force and derive how this force depends on and scales with the experimental parameters; 22,26 develop evolution equations for the shape of an individual deposited ring; 3 study the time evolution assuming a permanently pinned contact line. [54][55][56][57] Hu and Larson 58 analytically obtain a flow field that is combined with Brownian dynamics simulations to study particle deposition. Warner et al 59 employs a thin film model similar to the one we present below to describe the dewetting of a film of a nanoparticle suspension.…”

Section: Introductionmentioning

confidence: 99%

Modelling the formation of structured deposits at receding contact lines of evaporating solutions and suspensions

2012

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When a film of a liquid suspension of nanoparticles or a polymer solution is deposited on a surface, it may dewet from the surface and as the solvent evaporates the solute particles/polymer can be deposited on the surface in regular line patterns. In this paper we explore a hydrodynamic model for the process that is based on a long-wave approximation that predicts the deposition of irregular and regular line patterns. This is due to a self-organised pinning-depinning cycle that resembles a stick-slip motion of the contact line. We present a detailed analysis of how the line pattern properties depend on quantities such as the evaporation rate, the solute concentration, the Péclet number, the chemical potential of the ambient vapour, the disjoining pressure, and the intrinsic viscosity. The results are related to several experiments and to depinning transitions in other soft matter systems.

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“…The interplay between evaporation-induced flow and the transition from the Stokes to the Darcy regimes in fluid flow requires a multiphase description of the process such that the particle and liquid velocities can be different. Early models [10][11][12][13]16,17,19,[25][26][27][28] focused on understanding the singular evaporative flux and the related particulate flux, leaving open mechanisms for the filming-banding transition, the deposition front speed that sets the rate of patterning, and the Stokes-Darcy transition.Here, we use a combination of experimental observations and theoretical models of the interface growth and colloidal patterning to understand the dynamics of periodic banding, and its transition to the deposition of a continuous, close-packed multilayer film as a function of the particle concentration. The assembly of these uniform films are evaporation driven and have direct applications as in the case of manufacturing inverse opals.…”

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confidence: 99%

Dynamics of evaporative colloidal patterning

Kaplan

Mandre

et al. 2015

Physics of Fluids

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FIG. 1. Schematics of a drying suspension on a vertical substrate. (a) A schematic of the geometry and variable definitions for banding on a vertical substrate. (b)-(e) The evolution of the meniscus deformation while leaving behind a colloidal deposit and the corresponding variable definitions. Gray full line indicates the location of the solid-liquid interface, while the red curves represent the local thickness of the solid deposit.the velocity of the viscous capillary flow transporting the colloids. During this process, the liquid meniscus pinned to the edge of the deposit deforms as a function of the rate of particle transport and evaporation, in turn dictating the formation of either a continuous film or a periodic band (Figs. 1(b)-1(e) and Figs. 2(a)-2(f)). As a result, the particles self-organize into various forms of ordered and disordered states 23 as a function of the deposition speed and the local evaporation rate. 8,24 An additional complexity is that the fluid flow regime changes dramatically over the course of the drying process. Initially, we have flow in a thin film that is characterized by the Stokes regime away from the deposition front where the particle concentration is low. Near the deposition front, the liquid enters a porous region that is itself created by the particulate deposits at the solid-liquid interface, leading to a Darcy regime. The interplay between evaporation-induced flow and the transition from the Stokes to the Darcy regimes in fluid flow requires a multiphase description of the process such that the particle and liquid velocities can be different. Early models [10][11][12][13]16,17,19,[25][26][27][28] focused on understanding the singular evaporative flux and the related particulate flux, leaving open mechanisms for the filming-banding transition, the deposition front speed that sets the rate of patterning, and the Stokes-Darcy transition.Here, we use a combination of experimental observations and theoretical models of the interface growth and colloidal patterning to understand the dynamics of periodic banding, and its transition to the deposition of a continuous, close-packed multilayer film as a function of the particle concentration. The assembly of these uniform films are evaporation driven and have direct applications as in the case of manufacturing inverse opals. 7 In our setup, the motion of the liquid-deposit interface and the overall meniscus deformation stems only from liquid evaporation. Based on our observations, we formulate two complementary theories: (1) A coarse-grained two-stage model, which consists of a hydrostatic stage until the meniscus touches down the substrate, followed by rapid contact line motion terminated by its equilibration. This minimal model allows us to explain the geometry of the periodic bands and the dynamics of their formation as a function of the deposition rate. Previously, a static geometrical model was developed to explain the spacing between adjacent bands and its weak dependence on the thickness of the colloidal bands. 20 (2) A deta...

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Robust fadeout profile of an evaporation stain

Cited by 32 publications

References 19 publications

Patterned deposition at moving contact lines

Patterned deposition at moving contact lines

Modelling the formation of structured deposits at receding contact lines of evaporating solutions and suspensions

Dynamics of evaporative colloidal patterning

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