Pal, N and Ramadugu, R and Perlekar, P and Pandit, R (2022) Ephemeral antibubbles: Spatiotemporal evolution from direct numerical simulations. In: Physical Review Research, 4 (4).
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Abstract
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 σ1/2, where σ is the surface tension. © 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
| Item Type: | Journal Article |
|---|---|
| Publication: | Physical Review Research |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Navier Stokes equations; Numerical models, Antibubbles; Binary fluids; Cahn-hilliard-navier-stokes; Direct-numerical-simulation; Low-density fluids; Navier-Stokes equation; Spatiotemporal evolution; Thinnings; Three dimensions; Two-dimensions, Direct numerical simulation |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 29 Jan 2023 06:29 |
| Last Modified: | 29 Jan 2023 06:29 |
| URI: | https://eprints.iisc.ac.in/id/eprint/79569 |
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