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...

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Main Authors: Nairita Pal, Rashmi Ramadugu, Prasad Perlekar, Rahul Pandit
Format: Article
Language:English
Published: American Physical Society 2022-11-01
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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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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