Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations
Antibubbles, which consist of a shell of a low-density fluid inside a high-density fluid, have several promising applications. We show, via extensive direct numerical simulations (DNSs), in both two and three dimensions, that the spatiotemporal evolution of antibubbles can be described naturally by...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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American Physical Society
2022-11-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.4.043128 |
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author | Nairita Pal Rashmi Ramadugu Prasad Perlekar Rahul Pandit |
author_facet | Nairita Pal Rashmi Ramadugu Prasad Perlekar Rahul Pandit |
author_sort | Nairita Pal |
collection | DOAJ |
description | Antibubbles, which consist of a shell of a low-density fluid inside a high-density fluid, have several promising applications. We show, via extensive direct numerical simulations (DNSs), in both two and three dimensions, that the spatiotemporal evolution of antibubbles can be described naturally by the coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations for a binary fluid. Our DNSs capture elegantly the gravity-induced thinning and breakup of an antibubble via the time evolution of the Cahn-Hilliard scalar-order-parameter field ϕ, which varies continuously across interfaces, so we do not have to enforce complicated boundary conditions at the moving antibubble interfaces. To ensure that our results are robust, we supplement our CHNS simulations with sharp-interface volume-of-fluid DNSs. We track the thickness of the antibubble and calculate the dependence of the lifetime of an antibubble on several parameters; we show that our DNS results agree with various experimental results; in particular, the velocity with which the arms of the antibubble retract after breakup scales as σ^{1/2}, where σ is the surface tension. |
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institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:12:40Z |
publishDate | 2022-11-01 |
publisher | American Physical Society |
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spelling | doaj.art-420a20ea3c2b4e25ad55ab0e873fe8a72024-04-12T17:26:23ZengAmerican Physical SocietyPhysical Review Research2643-15642022-11-014404312810.1103/PhysRevResearch.4.043128Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulationsNairita PalRashmi RamaduguPrasad PerlekarRahul PanditAntibubbles, which consist of a shell of a low-density fluid inside a high-density fluid, have several promising applications. We show, via extensive direct numerical simulations (DNSs), in both two and three dimensions, that the spatiotemporal evolution of antibubbles can be described naturally by the coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations for a binary fluid. Our DNSs capture elegantly the gravity-induced thinning and breakup of an antibubble via the time evolution of the Cahn-Hilliard scalar-order-parameter field ϕ, which varies continuously across interfaces, so we do not have to enforce complicated boundary conditions at the moving antibubble interfaces. To ensure that our results are robust, we supplement our CHNS simulations with sharp-interface volume-of-fluid DNSs. We track the thickness of the antibubble and calculate the dependence of the lifetime of an antibubble on several parameters; we show that our DNS results agree with various experimental results; in particular, the velocity with which the arms of the antibubble retract after breakup scales as σ^{1/2}, where σ is the surface tension.http://doi.org/10.1103/PhysRevResearch.4.043128 |
spellingShingle | Nairita Pal Rashmi Ramadugu Prasad Perlekar Rahul Pandit Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations Physical Review Research |
title | Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations |
title_full | Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations |
title_fullStr | Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations |
title_full_unstemmed | Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations |
title_short | Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations |
title_sort | ephemeral antibubbles spatiotemporal evolution from direct numerical simulations |
url | http://doi.org/10.1103/PhysRevResearch.4.043128 |
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