Capillary levelling of immiscible bilayer films

Bertin, Vincent; Lee, Carmen; Salez, Thomas; Raphaël, Élie; Dalnoki-Veress, Kari

doi:10.1017/jfm.2020.1045

Cited by 5 publications

(7 citation statements)

References 57 publications

(135 reference statements)

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“…stratified thin liquid (or polymeric) films of different nature. 21 They can be found in microfluidic applications, 22 pack-aging applications 23 or used for the fabrication of functionalized fibers, 24 and obtained through lithographic printing process, 22 thermal drawing, 24 layer-by-layer deposition, 25 or multilayer coextrusion. 26 Theoretical and numerical studies have evaluated the effect of thicknesses and viscosities in the modes of rupture in confined multilayers.…”

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“…A case less studied is the stability of multilayer structures, i.e., stratified thin liquid (or polymeric) films of different nature . They can be found in microfluidic and packaging applications, used for the fabrication of functionalized fibers, and obtained through lithographic printing process, thermal drawing, layer-by-layer deposition, or multilayer coextrusion …”

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confidence: 99%

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Dewetting Dynamics of Sheared Thin Polymer Films: An Experimental Study

et al. 2022

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An experimental investigation is reported on the effect of shear on the bursting of molten ultra-thin polymer films embedded in an immiscible matrix. By using an optical microscope coupled with a shearing hotstage, the dewetting dynamics, i.e. the growth of dewetting holes is monitored over time at various shear rates. It is observed that their circularity is modified by shear and that for all temperatures and thicknesses studied, the growth speed of the formed holes rapidly increases with increasing shear rate. A model balancing capillary forces and viscous dissipation while taking into account shear-thinning is then proposed and captures the main features of the experimental data, such as the ellipsoid shape of the holes and the faster dynamics in the direction parallel to the shear. This research will help to understand the instabilities occurring during processing of layered polymeric structures, such as multilayer coextrusion.

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Dewetting Dynamics of Sheared Thin Polymer Films: An Experimental Study

et al. 2022

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“…To predict the restitution coefficient, we analyse the energy budget during bouncing. The only source of dissipation comes from the liquid viscosity, such that the energy dissipation rate is given by where the total viscous dissipation in (6.1) is simplified to keep the dominant term within the lubrication approximation (see Appendix C in Bertin et al 2021). The total energy of the system, including kinetic energy and elastic energy of the sphere, is denoted and is shown in figure 8( a ).…”

Section: Energy Dissipation and Coefficient Of Restitutionmentioning

confidence: 99%

“…where the total viscous dissipation in (6.1) is simplified to keep the dominant term within the lubrication approximation (see Appendix C in Bertin et al 2021). The total energy of the system, including kinetic energy and elastic energy of the sphere, is denoted E and is shown in figure 8(a).…”

Section: Energy Dissipation and Coefficient Of Restitutionmentioning

confidence: 99%

Similarity solutions in elastohydrodynamic bouncing

Bertin

2024

J. Fluid Mech.

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We investigate theoretically and numerically the impact of an elastic sphere on a rigid wall in a viscous fluid. Our focus is on the dynamics of the contact, employing the soft lubrication model in which the sphere is separated from the wall by a thin liquid film. In the limit of large sphere inertia, the sphere bounces and the dynamics is close to the Hertz theory. Remarkably, the film thickness separating the sphere from the wall exhibits non-trivial self-similar properties that vary during the spreading and retraction phases. Leveraging these self-similar properties, we establish the energy budget and predict the coefficient of restitution for the sphere. The general framework derived here opens many perspectives to study the lubrication film in impact problems.

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“…Another method consists in studying the levelling dynamics of free-surface perturbations. For polymers above T g , this has been a successful method to characterize bulk dynamics [17][18][19]. In such melt conditions, the viscosity is assumed to be homogenous, and the interfacial dynamics can be described by the capillary-driven thin film equation [20].…”

Section: Introductionmentioning

confidence: 99%

Nanobubble-induced flow of immersed glassy polymer films

et al. 2021

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We study the free-surface deformation dynamics of an immersed glassy thin polymer film supported on a substrate, induced by an air nanobubble at the free surface. We combine analytical and numerical treatments of the glassy thin film equation, resulting from the lubrication approximation applied to the surface mobile layer of the glassy film, under the driving of an axisymmetric step function in the pressure term accounting for the nanobubble's Laplace pressure. Using the method of Green's functions, we derive a general solution for the film profile. We show that the lateral extent of the surface perturbation follows an asymptotic viscocapillary power-law behavior in time, and that the film's central height decays logarithmically in time in this regime. This process eventually leads to film rupture and dewetting at finite time, for which we provide an analytical prediction exhibiting explicitly the dependencies in surface mobility, film thickness, and bubble size, among others. Finally, using finite-element numerical integration, we discuss how nonlinear effects induced by the curvature and film profile can affect the evolution.

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Capillary levelling of immiscible bilayer films

Abstract: Abstract

Cited by 5 publications

References 57 publications

Dewetting Dynamics of Sheared Thin Polymer Films: An Experimental Study

Dewetting Dynamics of Sheared Thin Polymer Films: An Experimental Study

Similarity solutions in elastohydrodynamic bouncing

Nanobubble-induced flow of immersed glassy polymer films

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