Shapes of a rising miscible droplet
Shapes of a rising miscible droplet
We model the buoyancy-driven motion of a liquid droplet in an ambient liquid, assuming that the liquids are miscible. The classical representation of miscible liquids as a single-phase fluid with impurity (neglecting surface tension effects) cannot describe all experimental observations of moving droplets in a miscible environment, in particular, the tendency of droplets to pull to a spherical shape. In the framework of the classical approach, we show that the motion of a miscible droplet results in its instant dispersion (except for a very slow rise). We also model the motion of a miscible droplet in the framework of the phase-field approach, taking into account surface tension forces. We vary the value of the surface tension coefficient within a very wide range, modeling a droplet that rises preserving a spherical shape, or a droplet which dynamically becomes indistinguishable from the droplet with an interface endowed with no surface tension. We also show that by employing the concept of dynamic surface tension, one may reproduce the motion of a droplet that pulls into a sphere in the initial period of its evolution and that disintegrates similar to a droplet with zero surface tension at the later stages.
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Vorobev, Anatoliy
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Zagvozkin, Timofey
dcd8774d-869f-4473-979e-731eea770e38
Lyubimova, Tatiana
ea977036-7fca-4d61-abf5-1da0a94c9b35
27 January 2020
Vorobev, Anatoliy
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Zagvozkin, Timofey
dcd8774d-869f-4473-979e-731eea770e38
Lyubimova, Tatiana
ea977036-7fca-4d61-abf5-1da0a94c9b35
Vorobev, Anatoliy, Zagvozkin, Timofey and Lyubimova, Tatiana
(2020)
Shapes of a rising miscible droplet.
Physics of Fluids, 32 (1), , [012112].
(doi:10.1063/1.5141334).
Abstract
We model the buoyancy-driven motion of a liquid droplet in an ambient liquid, assuming that the liquids are miscible. The classical representation of miscible liquids as a single-phase fluid with impurity (neglecting surface tension effects) cannot describe all experimental observations of moving droplets in a miscible environment, in particular, the tendency of droplets to pull to a spherical shape. In the framework of the classical approach, we show that the motion of a miscible droplet results in its instant dispersion (except for a very slow rise). We also model the motion of a miscible droplet in the framework of the phase-field approach, taking into account surface tension forces. We vary the value of the surface tension coefficient within a very wide range, modeling a droplet that rises preserving a spherical shape, or a droplet which dynamically becomes indistinguishable from the droplet with an interface endowed with no surface tension. We also show that by employing the concept of dynamic surface tension, one may reproduce the motion of a droplet that pulls into a sphere in the initial period of its evolution and that disintegrates similar to a droplet with zero surface tension at the later stages.
Text
droplet
- Accepted Manuscript
More information
Accepted/In Press date: 8 January 2020
e-pub ahead of print date: 27 January 2020
Published date: 27 January 2020
Additional Information:
Funding Information:
This research work was partially financially supported by the Russian Foundation for Basic Research (Grant No. 18-01-00782) and by the UB RAS Program for Basic Research (Project No. 18-11-1-8). The authors also acknowledge the use of the IRIDIS High Performance Computing Facility and associated support services at the University of Southampton for the completion of this work.
Publisher Copyright:
© 2020 Author(s).
Identifiers
Local EPrints ID: 436951
URI: http://eprints.soton.ac.uk/id/eprint/436951
ISSN: 1070-6631
PURE UUID: bb68fc6a-ec24-4c86-85b8-4611cfbe45a0
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Date deposited: 14 Jan 2020 17:32
Last modified: 17 Mar 2024 03:12
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Author:
Timofey Zagvozkin
Author:
Tatiana Lyubimova
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