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Shapes of a rising miscible droplet

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, modelling 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.
1070-6631
1-14
Vorobev, Anatoliy
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Zagvozkin, Timofey
dcd8774d-869f-4473-979e-731eea770e38
Lyubimova, Tatiana
ea977036-7fca-4d61-abf5-1da0a94c9b35
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), 1-14, [012112]. (doi:10.1063/1.5141334).

Record type: Article

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, modelling 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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droplet - Accepted Manuscript
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More information

Accepted/In Press date: 8 January 2020
e-pub ahead of print date: 27 January 2020
Published date: 27 January 2020

Identifiers

Local EPrints ID: 436951
URI: http://eprints.soton.ac.uk/id/eprint/436951
ISSN: 1070-6631
PURE UUID: bb68fc6a-ec24-4c86-85b8-4611cfbe45a0
ORCID for Anatoliy Vorobev: ORCID iD orcid.org/0000-0002-6458-9390

Catalogue record

Date deposited: 14 Jan 2020 17:32
Last modified: 26 Nov 2021 02:53

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Contributors

Author: Timofey Zagvozkin
Author: Tatiana Lyubimova

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