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Inertio-capillary rebound of a droplet impacting a fluid bath
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Alventosa, Luke F. L., Cimpeanu, Radu and Harris, Daniel M. (2023) Inertio-capillary rebound of a droplet impacting a fluid bath. Journal of Fluid Mechanics, 958 . A24. doi:10.1017/jfm.2023.88 ISSN 0022-1120.
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Official URL: http://dx.doi.org/10.1017/jfm.2023.88
Abstract
The rebound of droplets impacting a deep fluid bath is studied both experimentally and theoretically. Millimetric drops are generated using a piezoelectric droplet-on-demand generator and normally impact a bath of the same fluid. Measurements of the droplet trajectory and other rebound metrics are compared directly with the predictions of a linear quasipotential model, as well as fully resolved direct numerical simulations of the unsteady Navier–Stokes equations. Both models resolve the time-dependent bath and droplet shapes in addition to the droplet trajectory. In the quasipotential model, the droplet and bath shape are decomposed using orthogonal function decompositions leading to two sets of coupled damped linear harmonic oscillator equations solved using an implicit numerical method. The underdamped dynamics of the drop are directly coupled to the response of the bath through a single-point kinematic match condition which we demonstrate to be an effective and efficient model in our parameter regime of interest. Starting from the inertio-capillary limit in which both gravitational and viscous effects are negligible, increases in gravity or viscosity lead to a decrease in the coefficient of restitution and an increase in the contact time. The inertio-capillary limit defines an upper bound on the possible coefficient of restitution for droplet–bath impact, depending only on the Weber number. The quasipotential model is able to rationalize historical experimental measurements for the coefficient of restitution, first presented by Jayaratne & Mason (Proc. R. Soc. Lond. A, vol. 280, issue 1383, 1964, pp. 545–565).
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): | Drops, Fluid dynamics -- Drops -- Mathematical models, Bubbles, Capillarity, Bubbles -- Dynamics | ||||||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||||||
Publisher: | Cambridge University Press | ||||||||||||
ISSN: | 0022-1120 | ||||||||||||
Official Date: | 10 March 2023 | ||||||||||||
Dates: |
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Volume: | 958 | ||||||||||||
Article Number: | A24 | ||||||||||||
DOI: | 10.1017/jfm.2023.88 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
RIOXX Funder/Project Grant: |
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