A Falling Fluid Droplet in an Oscillating Flow Field

Abstract

We examine the flow in and around a falling fluid droplet in a vertically oscillating flow. We assume axisymmetric Stokes flow, and for small deformations to the droplet, the governing equations can be linearized leading to an infinite system of linear ordinary differential equations. In this study, we have analytically solved the problem in the small-capillary limit. We note that the solution locally breaks down at the poles of the droplet. The drag and center of the mass were also obtained. In the case when only odd modes are present, the droplet shows three-dimensional axisymmetric heart-shaped solutions oscillating vertically in time. When only even modes are present, the droplet exhibits axisymmetric stretching and squeezing.

Publication DOI: https://doi.org/10.1063/5.0187932
Divisions: College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied Mathematics & Data Science
Funding Information: EC Horizon 2020 Framework Programme (H2020): RISE-ATM2BT-824022
Additional Information: Copyright © 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Uncontrolled Keywords: Droplet, Fluid Dynamics, Oscillations
Publication ISSN: 1089-7666
Data Access Statement: Data sharing is not applicable to this article as no new data were created or analyzed in this study.
Last Modified: 18 Jun 2024 07:47
Date Deposited: 20 Feb 2024 15:46
Full Text Link:
Related URLs: https://pubs.ai ... scillating-flow (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2024-02-29
Published Online Date: 2024-02-16
Accepted Date: 2024-01-22
Authors: Williams, Iolo T.
Kalliadasis, Serafim
Generalis, Sotos (ORCID Profile 0000-0001-7660-0633)
Trevelyan, Philip (ORCID Profile 0000-0003-2780-6680)

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