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Fluctuation-driven dynamics in nanoscale thin-film flows : physical insights from numerical investigations
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Zhao, Chengxi, Liu, Jingbang, Lockerby, Duncan A. and Sprittles, James E. (2022) Fluctuation-driven dynamics in nanoscale thin-film flows : physical insights from numerical investigations. Physical Review Fluids, 7 (2). 024203. doi:10.1103/PhysRevFluids.7.024203 ISSN 2469-990X.
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WRAP-fluctuation-driven-dynamics-nanoscale-thin-film-flows-2022.pdf - Accepted Version - Requires a PDF viewer. Download (4Mb) | Preview |
Official URL: https://doi.org/10.1103/PhysRevFluids.7.024203
Abstract
The effects of thermal fluctuations on nanoscale flows are captured by a numerical scheme that is underpinned by fluctuating hydrodynamics. A stochastic lubrication equation (SLE) is solved on non-uniform adaptive grids to study a series of nanoscale thin-film flows. The Fornberg scheme is used for high-resolution spatial discretisation and a fully-implicit time-marching scheme is designed for numerical stability. The accuracy of the numerical method is verified against theoretical results for thermal capillary waves during the linear stage of their development. The framework is then used to study the nonlinear behaviour of three bounded thin-film flows: (i) droplet spreading, where new power laws are derived; (ii) droplet coalescence, where molecular dynamics results are reproduced by the SLE at a fraction of the computational cost and it is discovered that thermal fluctuations decelerate the process, in contrast to previously investigated phenomena; and (iii) thin-film rupture, where, in the regime considered, disjoining pressure dominates the final stages of rupture.
| Item Type: | Journal Article | |||||||||||||||
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| Subjects: | Q Science > QC Physics | |||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering Faculty of Science, Engineering and Medicine > Science > Mathematics |
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| Library of Congress Subject Headings (LCSH): | Fluctuations (Physics), Fluid dynamics -- Mathematical models, Thin films, Thermodynamics, Statistical physics | |||||||||||||||
| Journal or Publication Title: | Physical Review Fluids | |||||||||||||||
| Publisher: | American Physical Society | |||||||||||||||
| ISSN: | 2469-990X | |||||||||||||||
| Official Date: | 25 February 2022 | |||||||||||||||
| Dates: |
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| Volume: | 7 | |||||||||||||||
| Number: | 2 | |||||||||||||||
| Article Number: | 024203 | |||||||||||||||
| DOI: | 10.1103/PhysRevFluids.7.024203 | |||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
| Copyright Holders: | ©2022 American Physical Society | |||||||||||||||
| Date of first compliant deposit: | 16 February 2022 | |||||||||||||||
| Date of first compliant Open Access: | 21 February 2022 | |||||||||||||||
| RIOXX Funder/Project Grant: |
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