Growth of Holes in Liquid Films with Partial Slippage

Jacobs, Karin; Seemann, Ralf; Schätz, G.; Herminghaus, Stephan

doi:10.1021/la9804435

Cited by 101 publications

(120 citation statements)

References 8 publications

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“…Interestingly, while for small and very large slip lengths the dewetting rates turn out to be nearly constant with logarithmic corrections, the intermediate-slip model (1.5) shows the distinct property of having dewetting rates proportional to t −1/3 . These results confirmed earlier results by [30][31][32], where the dewetting rate and shape of the rim has been discussed using approximate formulas derived from scaling arguments and energy balances. Within another context, where lubrication models with mobility h n where considered, the dewetting rates for the cases of h 3 (no-slip) and h 2 (intermediate-slip) were also derived using matched asymptotic expansions by [33].…”

Section: Introductionsupporting

confidence: 90%

Linear stability analysis of a sharp-interface model for dewetting thin films

2008

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The stability of the receding front at the growing rim of a thin liquid film dewetting from a substrate is studied. The underlying forces that drive the dewetting motion are given by the intermolecular potential between the liquid film and the substrate. The role of slippage in the emerging instability is studied via a sharp-interface model for the dewetting thin film, which is derived from the lubrication model via matched asymptotic expansions. Using the separation of the time-scale for the slow growth of the rim and the time-scale on which the rim destabilises, the sharp-interface results are compared to earlier results for the lubrication model and good agreement for the unstable modes is obtained. The main advantage of the sharp-interface model is that it allows for the derivation of traveling solutions for the base state and subsequently a systematic linear stability analysis via normal modes. Interestingly, unlike the dispersion relations that are typically encountered for the well-known finger-instability in thin-film flows, where the dependence of the growth rate on the wave number is quadratic, here it is linear.Keywords Asymptotic methods · High-order nonlinear boundary-value problems · Sharp-interface model · Stability analysis · Thin liquid films

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Section: Introductionsupporting

confidence: 90%

Linear stability analysis of a sharp-interface model for dewetting thin films

2008

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“…Good agreement between experiment and theory is found for the whole range of hole growth [40,80], cf figure 10. This growth law can be used to characterize the interplay [73,74] with the boundary condition gained from experiment: α theo = 1.0 • .…”

Section: Dynamics Of Hole Growth In Two Dimensionsmentioning

confidence: 58%

Dynamics and structure formation in thin polymer melt films

Seemann¹,

Herminghaus²,

Neto³

et al. 2005

J. Phys.: Condens. Matter

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164

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The stability of thin liquid coatings plays a fundamental role in everyday life. We studied the stability conditions of thin (3 to 300 nm) liquid polymer films on various substrates. The key role is played by the effective interface potential φ of the system air/film/substrate, which determines the dewetting scenario in case the film is not stable. We describe in this study how to distinguish a spinodal dewetting scenario from heterogeneous and homogeneous dewetting by analysing the emerging structures of the film surface by e.g. Minkowski measures. We also include line tension studies of tiny droplets, showing that the long-range part of φ does affect the drop profile, but only very close to the three phase boundary line. The dynamic properties of the films are characterized via various experimental methods: the form of the dewetting front, for example, was recorded by scanning probe microscopy and gives insight into the boundary condition between the liquid and the substrate. We further report experiments probing the viscosity and the glass transition temperature of nm-thick films using e.g. ellipsometry. Here we find that even short-chained polymer melts exhibit a significant reduction of the glass transition temperature as the film thickness is reduced below 100 nm.

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“…For example, [10] considered the dependence on the constitutive assumption for the viscosity and on the initial film thickness, power-law time dependencies being most prevalent, but with exponential growth being suggested at early times. The analysis in [11] and [12] leads to linear dependence on t for Newtonian fluids, the latter also suggesting linear growth for power-law fluids. Our analysis is concerned with cases in which a dry region has already been initiated; unlike many previous studies (e.g.…”

Section: Introductionmentioning

confidence: 79%

Surface-tension-driven dewetting of Newtonian and power-law fluids

Flitton

King

2004

J Eng Math

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The dewetting over a planar substrate of a thin layer of highly viscous fluid under the action of surface tension is considered, with a doubly-nonlinear fourth-order degenerate parabolic equation governing the flow of a power-law fluid. Asymptotic methods are applied to analyse the motion in the shear-thinning, shear-thickening and Newtonian cases, the last of these corresponding mathematically to a critical value of the relevant exponent. In particular, the role played by the local behaviour in the neighbourhood of the contact line is analysed and the dependence of the one-dimensional large-time dewetting behaviour on the fluid's constitutive properties characterised. Stability issues are also touched upon.

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Growth of Holes in Liquid Films with Partial Slippage

Cited by 101 publications

References 8 publications

Linear stability analysis of a sharp-interface model for dewetting thin films

Linear stability analysis of a sharp-interface model for dewetting thin films

Dynamics and structure formation in thin polymer melt films

Surface-tension-driven dewetting of Newtonian and power-law fluids

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