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Viscous to inertial coalescence of liquid lenses: A lattice Boltzmann investigation

Scheel, Thomas; Xie, Qingguang; Sega, Marcello; Harting, Jens; (2023) Viscous to inertial coalescence of liquid lenses: A lattice Boltzmann investigation. Physical Review Fluids , 8 (7) , Article 074201. 10.1103/physrevfluids.8.074201. Green open access

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Abstract

Liquid lens coalescence is an important mechanism involved in many industrial and scientific applications. It has been investigated both theoretically and experimentally, yet it is numerically very challenging to obtain consistent results over the wide ranges of surface tension and viscosity values that are necessary to capture the asymptotic temporal behavior in the viscous and inertial limits. We report results of massively parallel simulations based on the color gradient lattice Boltzmann method, which overcome these limitations, and investigate the scaling laws of both regimes. For the two-dimensional case we find good agreement with the similarity solution of the thin-sheet equation, where in the viscous regime the connecting bridge grows linearly with time and in the inertial regime proportionally to t2/3. In three dimensions, the viscous growth of the bridge also exhibits a linear time dependence, while in the inertial regime the growth of both the bridge height and the bridge width is proportional to t1/2.

Type: Article
Title: Viscous to inertial coalescence of liquid lenses: A lattice Boltzmann investigation
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/physrevfluids.8.074201
Publisher version: https://doi.org/10.1103/PhysRevFluids.8.074201
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10173618
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