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Phase-field modeling of an immiscible liquid/liquid displacement in a capillary

Phase-field modeling of an immiscible liquid/liquid displacement in a capillary
Phase-field modeling of an immiscible liquid/liquid displacement in a capillary
We develop a numerical model for a two-phase flow of a pair of immiscible liquids within a capillary tube. We assume that a capillary is initially saturated with one liquid and the other liquid is injected via one of the capillary's ends. The governing equations are solved in the velocity-pressure formulation, so the pressure levels are imposed at the capillary inlet and outlet ends. We model the structure of the flow and the shape of the liquid/liquid interface. We are able to reproduce the flow for a wide range of capillary numbers, when the meniscus preserves its shape moving together with the flow, and when the meniscus constantly stretches resembling the transport of a passive impurity. We demonstrate that the phase-field approach is capable of reproducing all features of the liquid/liquid displacement, including the motion of a contact line, the dynamic changes of the capillary pressure, and the dynamic changes of the apparent contact angle.
2470-0045
1-11
Prokopev, Sergei
ac7f4544-8463-4ff7-8c11-42d003c543e9
Vorobev, Anatoliy
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Lyubimova, Tatiana
ea977036-7fca-4d61-abf5-1da0a94c9b35
Prokopev, Sergei
ac7f4544-8463-4ff7-8c11-42d003c543e9
Vorobev, Anatoliy
911a4e1e-0c34-4297-b52e-c22a2b9dec01
Lyubimova, Tatiana
ea977036-7fca-4d61-abf5-1da0a94c9b35

Prokopev, Sergei, Vorobev, Anatoliy and Lyubimova, Tatiana (2019) Phase-field modeling of an immiscible liquid/liquid displacement in a capillary. Physical Review E, 99 (3), 1-11, [033113]. (doi:10.1103/PhysRevE.99.033113).

Record type: Article

Abstract

We develop a numerical model for a two-phase flow of a pair of immiscible liquids within a capillary tube. We assume that a capillary is initially saturated with one liquid and the other liquid is injected via one of the capillary's ends. The governing equations are solved in the velocity-pressure formulation, so the pressure levels are imposed at the capillary inlet and outlet ends. We model the structure of the flow and the shape of the liquid/liquid interface. We are able to reproduce the flow for a wide range of capillary numbers, when the meniscus preserves its shape moving together with the flow, and when the meniscus constantly stretches resembling the transport of a passive impurity. We demonstrate that the phase-field approach is capable of reproducing all features of the liquid/liquid displacement, including the motion of a contact line, the dynamic changes of the capillary pressure, and the dynamic changes of the apparent contact angle.

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More information

Accepted/In Press date: 11 March 2019
e-pub ahead of print date: 21 March 2019
Published date: March 2019

Identifiers

Local EPrints ID: 429028
URI: http://eprints.soton.ac.uk/id/eprint/429028
ISSN: 2470-0045
PURE UUID: b3fe4133-1670-4ed0-99d4-f8412b68be31
ORCID for Anatoliy Vorobev: ORCID iD orcid.org/0000-0002-6458-9390

Catalogue record

Date deposited: 19 Mar 2019 17:30
Last modified: 26 Nov 2021 02:53

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Contributors

Author: Sergei Prokopev
Author: Tatiana Lyubimova

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