A falling fluid droplet in an oscillating flow field
File(s)
Published version
Author(s)
Williams, IT
Kalliadasis, S
Generalis, SC
Trevelyan, PMJ
Type
Journal Article
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.
Date Issued
2024-02-01
Date Acceptance
2024-01-22
Citation
Physics of Fluids, 2024, 36 (2)
ISSN
1070-6631
Publisher
American Institute of Physics
Journal / Book Title
Physics of Fluids
Volume
36
Issue
2
Copyright Statement
© 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http:// creativecommons.org/licenses/by/4.0/). https://doi.org/10.1063/5.0187932
License URL
Identifier
10.1063/5.0187932
Subjects
CREEPING MOTION
DRAG
Mechanics
Physical Sciences
Physics
Physics, Fluids & Plasmas
Science & Technology
SHAPE
SPHERE
Technology
Publication Status
Published
Article Number
022113
Date Publish Online
2024-02-16