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Capillary-scale solid rebounds : experiments, modelling and simulations
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Galeano-Rios, Carlos A., Cimpeanu, Radu, Bauman, Isabelle A., MacEwen, Annika , Milewski, Paul A. and Harris, Daniel M. (2021) Capillary-scale solid rebounds : experiments, modelling and simulations. Journal of Fluid Mechanics, 912 . A17. doi:10.1017/jfm.2020.1135 ISSN 0022-1120.
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WRAP-Capillary-scale-solid-rebounds-experiments-Cimpeanu-2020.pdf - Accepted Version - Requires a PDF viewer. Download (3233Kb) | Preview |
Official URL: http://dx.doi.org/10.1017/jfm.2020.1135
Abstract
A millimetre-size superhydrophobic sphere impacting on the free surface of a quiescent bath can be propelled back into the air by capillary effects and dynamic fluid forces, whilst transferring part of its energy to the fluid. We report the findings of a thorough investigation of this phenomenon, involving different approaches. Over the range from minimum impact velocities required to produce rebounds to impact velocities that cause the sinking of the solid sphere, we focus on the dependence of the coefficient of restitution, contact time and maximum surface deflection on the different physical parameters of the problem. Experiments, simulations and asymptotic analysis reveal trends in the rebound metrics, uncover new phenomena at both ends of the Weber number spectrum, and collapse the data. Direct numerical simulations using a pseudo-solid sphere successfully reproduce experimental data whilst also providing insight into flow quantities that are challenging to determine from experiments. A model based on matching the motion of a perfectly hydrophobic impactor to a linearised fluid free surface is validated against direct numerical simulations and used in the low Weber number regime. The hierarchical and cross-validated models in this study allow us to explore the entirety of our target parameter space within a challenging multi-scale system.
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Mathematical models, Fluid dynamics -- Mathematical models, Impact, Speed | ||||||||||||
| Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||||||
| Publisher: | Cambridge University Press | ||||||||||||
| ISSN: | 0022-1120 | ||||||||||||
| Official Date: | 10 April 2021 | ||||||||||||
| Dates: |
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| Volume: | 912 | ||||||||||||
| Article Number: | A17 | ||||||||||||
| DOI: | 10.1017/jfm.2020.1135 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Reuse Statement (publisher, data, author rights): | This article has been published in a revised form in Journal of Fluid Mechanics http://dx.doi.org/10.1017/jfm.2020.1135. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © The Author(s), 2021. Published by Cambridge University Press | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Date of first compliant deposit: | 15 December 2020 | ||||||||||||
| Date of first compliant Open Access: | 9 August 2021 | ||||||||||||
| RIOXX Funder/Project Grant: |
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