Dewetting Patterns in a Drying Liquid Film

Schwartz, Leonard W.; Roy, Rupa; Eley, Richard R.; Petrash, Stanislaw

doi:10.1006/jcis.2000.7312

Cited by 121 publications

(93 citation statements)

References 26 publications

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“…This form of the cut-off term in the van der Waals pressure has an algebraic dependency on the layer thickness h j (j = 1, 2) where the exponent m must be chosen to be greater than 3; this assumption has been used widely for various values of m (Seemann et al 2001;Schwartz et al 2001). In this study we fix m = 6, but the precise value of m does not influence the dynamics of rupture significantly.…”

Section: Nonlinear Dewettingmentioning

confidence: 99%

Stability of a bi-layer free film: simultaneous or individual rupture events?

et al. 2015

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We consider the stability of a long free film of liquid composed of two immiscible layers of differing viscosities, where each layer experiences a van der Waals force between its interfaces. We analyse the different ways the system can exhibit interfacial instability when the liquid layers are sufficiently thin. For an excess of surfactant on one gas-liquid interface the coupling between the layers is relatively weak and the instability manifests as temporally separated rupture events in each layer. Conversely, in the absence of surfactant the coupling between the layers is much stronger and the instability manifests as rupture of both layers simultaneously. These features are consistent with recent experimental observations.

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Section: Nonlinear Dewettingmentioning

confidence: 99%

Stability of a bi-layer free film: simultaneous or individual rupture events?

et al. 2015

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“…Each The liquid is assumed incompressible and Newtonian, with constant density ρ and surface tension σ. The solvent concentration c s = h s /h is defined by the ratio of the imaginary thickness of the solvent layer, h s , to the total film thickness h 13 and, following previous studies 9,13,14 , the viscosity µ is assumed to depend exponentially on c s , obeying:…”

Section: A Governing Equationsmentioning

confidence: 99%

“…More sophisticated evaporation models would be required for larger variations such as the power law proposed in Schwartz et al 9 .…”

Section: A Governing Equationsmentioning

confidence: 99%

“…The latter, when subsequently evaporated, leaves a solid resin film on the substrate 9 . The motivation therefore of the present work is to study how flow past topography is affected by solvent evaporation and, in turn, how the topography affects the composition of the resin/solvent mixture.…”

Section: Introductionmentioning

confidence: 99%

“…This phenomenon was later analysed theoretically by Eres et al 13 who solved a three-dimensional lubrication model of the flow numerically and confirmed that reversal is caused by the solutal Marangoni effect due to variations in solvent concentration which in turn lead to surface tension gradients. The latter study was one of several by Schwartz and co-workers who have modelled the effects of solvent evaporation in applications ranging from the role of surface tension gradients in correcting corner defects 14 and in crater formation 15 , to the effect of viscosity increase due to solvent depletion on droplet reticulation 9 .…”

Section: Introductionmentioning

confidence: 99%

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Flow of evaporating, gravity-driven thin liquid films over topography

et al. 2006

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The effect of topography on the free surface and solvent concentration profiles of an evaporating thin film of liquid flowing down an inclined plane is considered. The liquid is assumed to be composed of a resin dissolved in a volatile solvent with the associated solvent concentration equation derived on the basis of the well-mixed approximation. The dynamics of the film is formulated as a lubrication approximation and the effect of a composition-dependent viscosity is included in the model. The resulting time-dependent, nonlinear, coupled set of governing equations is solved using a Full Approximation Storage multigrid method.The approach is first validated against a closed-form analytical solution for the case of a gravity-driven, evaporating thin film flowing down a flat substrate. Analysis of the results for a range of topography shapes reveal that while a full-width, spanwise topography such as a step-up or a step-down does not appear to affect the composition of the film, the same is no longer true for the case of localised topography, such as a peak or a trough, for which clear non-uniformities of the solvent concentration profile can be observed in the wake of the topography.

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Drying‐induced surface roughening of polymeric coating under periodic air blowing

et al. 2009

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in Wiley InterScience (www.interscience.wiley.com).We carried out numerical simulations of drying-induced surface roughening of a moving liquid layer under periodic air blowing conditions. Using spatially non-uniform Biot number profiles along the coating surface, the solutions of coupled diffusion/heat transfer equations reveal a periodic growth and relaxation in concentration gradients in the vicinity of the liquid-gas interface. The resultant interfacial stress variations promote particular asymmetric surface topographies that grow and level in a sequential manner. The unique surface roughness is identified by considering time scales required for the web motion, the stress-induced surface evolution, and the pressure-driven leveling. Predicted drying maps represent the surface roughening behavior as regions in parameter space.

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Dewetting Patterns in a Drying Liquid Film

Cited by 121 publications

References 26 publications

Stability of a bi-layer free film: simultaneous or individual rupture events?

Stability of a bi-layer free film: simultaneous or individual rupture events?

Flow of evaporating, gravity-driven thin liquid films over topography

Drying‐induced surface roughening of polymeric coating under periodic air blowing

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