ArticleThe European physical journal. E, Soft matter2012
Numerical solutions of thin-film equations for polymer flows.
Article in The European physical journal. E, Soft matter, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 9 papers.
What it found
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Who cites it
9 citing papers in PubMed.
- Surface Mobility of a Glass-Forming Polymer in an Ionic Liquid.Macromolecules · 2025Article
- Advancements in Novel Mechano-Rheological Probes for Studying Glassy Dynamics in Nanoconfined Thin Polymer Films.ACS polymers Au · 2024Review
- Quantifying surface tension and viscosity in biomolecular condensates by FRAP-ID.Biophysical journal · 2024Article
- Dimple drainage before the coalescence of a droplet deposited on a smooth substrate.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Impact of energy dissipation on interface shapes and on rates for dewetting from liquid substrates.Scientific reports · 2018Article
- Adsorption-induced slip inhibition for polymer melts on ideal substrates.Nature communications · 2018Article
- Decoupling of surface diffusion and relaxation dynamics of molecular glasses.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Intermediate asymptotics of the capillary-driven thin-film equation.The European physical journal. E, Soft matter · 2013Article
- Droplets on liquids and their journey into equilibrium.The European physical journal. E, Soft matter · 2013Article
Corrections and comments
- Erratum issued
Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We report on the numerical implementation of thin-film equations that describe the capillary-driven evolution of viscous films, in two-dimensional configurations. After recalling the general forms and features of these equations, we focus on two particular cases inspired by experiments: the leveling of a step at the free surface of a polymer film, and the leveling of a polymer droplet over an identical film. In each case, we first discuss the long-term self-similar regime reached by the numerical solution before comparing it to the experimental profile. The agreement between theory and experiment is excellent, thus providing a versatile probe for nanorheology of viscous liquids in thin-film geometries.
Identifiers
23138477What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.