Print Email Facebook Twitter Droplet motion with contact-line friction Title Droplet motion with contact-line friction: long-time asymptotics in complete wetting Author Giacomelli, Lorenzo (Sapienza University of Rome) Gnann, M.V. (TU Delft Mathematical Physics) Peschka, Dirk (Weierstraß-Institut) Date 2023 Abstract We consider the thin-film equation for a class of free boundary conditions modelling friction at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-time asymptotics of solutions in the perfect wetting regime. In particular, through the analysis of quasi-self-similar solutions, we characterize the profile and the spreading rate of solutions depending on the strength of friction at the contact line, as well as their (global or local) corrections, which are due to the dynamical nature of the free boundary conditions. These results are complemented with full transient numerical solutions of the free boundary problem. Subject dynamic contact angleself-similar solutionsthin films To reference this document use: http://resolver.tudelft.nl/uuid:7aa3a45d-5fe8-4ae6-9d03-2a95e9820b71 DOI https://doi.org/10.1098/rspa.2023.0090 Embargo date 2024-01-01 ISSN 1364-5021 Source Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences, 479 (2274) Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2023 Lorenzo Giacomelli, M.V. Gnann, Dirk Peschka Files PDF 2302.03005_1_.pdf 5.08 MB Close viewer /islandora/object/uuid:7aa3a45d-5fe8-4ae6-9d03-2a95e9820b71/datastream/OBJ/view