Shape of a Liquid Front upon Dewetting

Seemann, Ralf; Herminghaus, Stephan; Jacobs, Karin

doi:10.1103/physrevlett.87.196101

Cited by 120 publications

(65 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The slopes of the lines agree with the negative real eigenvalue of with the smallest modulus of (4.4). Interestingly, dewetting ridges with similar profiles have been observed experimentally for highly elastic and long-chain polymer films [34,35].…”

Section: Evolution Of Profiles In Timementioning

confidence: 63%

Lubrication Models with Small to Large Slip Lengths

2005

View full text Add to dashboard Cite

A set of lubrication models for the thin film flow of incompressible fluids on solid substrates is derived and studied. The models are obtained as asymptotic limits of the Navier-Stokes equations with the Navier-slip boundary condition for different orders of magnitude for the slip-length parameter. Specifically, the influence of slip on the dewetting behavior of fluids on hydrophobic substrates is investigated here. Matched asymptotics are used to describe the dynamic profiles for dewetting films and comparison is given with computational simulations. The motion of the dewetting front shows transitions from being nearly linear in time for no-slip to t 2/3 as the slip is increased. For much larger slip lengths the front motion appears to become linear again. Correspondingly, the dewetting profiles undergo a transition from oscillatory to monotone decay into the uniform film layer for large slip. Increasing the slip further, to very large values, is associated with an increasing degree of asymmetry in the structure of the dewetting ridge profile.

show abstract

Section: Evolution Of Profiles In Timementioning

confidence: 63%

Lubrication Models with Small to Large Slip Lengths

2005

View full text Add to dashboard Cite

show abstract

“…We now describe the ultimate behaviour of the film profile for (32)(33). From (52) and (56) it is clear that the above separation of length scales becomes invalid for…”

Section: Formulationmentioning

confidence: 98%

“…For brevity we present the asymptotic derivation in a somewhat ad hoc manner; we stress that it can be made fully systematic. For experimental results with which the resulting rim profiles can be compared, see [33] for example.…”

Section: Newtonian Fluids; M = 1 N =mentioning

confidence: 99%

See 1 more Smart Citation

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

Flitton

King

2004

J Eng Math

View full text Add to dashboard Cite

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.

show abstract

“…Such depressions have been observed in several works, and their appearance has also been accounted for in simulations [24,25]. Their presence has been explained as a consequence of material flow and thickness fluctuations [26,27]. Also, it has been shown that, when a hole in a dewetting film has reached a certain size, secondary or "satellite" holes appear in the depression [28,29].…”

Section: Resultsmentioning

confidence: 90%

Mechanical Properties and Adhesion of a Micro Structured Polymer Blend

Cappella

2011

Polymers

View full text Add to dashboard Cite

Abstract:A 50:50 blend of polystyrene (PS) and poly(n-butyl methacrylate) (PnBMA) has been characterized with an Atomic Force Microscope (AFM) in Tapping Mode and with force-distance curves. The polymer solution has been spin-coated on a glass slide. PnBMA builds a uniform film on the glass substrate with a thickness of ≅200 nm. On top of it, the PS builds an approximately 100 nm thick film. The PS-film undergoes dewetting, leading to the formation of holes surrounded by about 2 µm large rims. In those regions of the sample, where the distance between the holes is larger than about 4 µm, light depressions in the PS film can be observed. Topography, dissipated energy, adhesion, stiffness and elastic modulus have been measured on these three regions (PnBMA, PS in the rims and PS in the depressions). The two polymers can be distinguished in all images, since PnBMA has a higher adhesion and a smaller stiffness than PS, and hence a higher dissipated energy. Moreover, the polystyrene in the depressions shows a very high adhesion (approximately as high as PnBMA) and its stiffness is intermediate between that of PnBMA and that of PS in the rims. This is attributed to higher mobility of the PS chains in the depressions, which are precursors of new holes.

show abstract

Shape of a Liquid Front upon Dewetting

Cited by 120 publications

References 19 publications

Lubrication Models with Small to Large Slip Lengths

Lubrication Models with Small to Large Slip Lengths

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

Mechanical Properties and Adhesion of a Micro Structured Polymer Blend

Contact Info

Product

Resources

About