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

Scheel T, Xie Q, Sega M, Harting J (2023)


Publication Type: Journal article

Publication year: 2023

Journal

Book Volume: 8

Article Number: 074201

Journal Issue: 7

DOI: 10.1103/PhysRevFluids.8.074201

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.

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How to cite

APA:

Scheel, T., Xie, Q., Sega, M., & Harting, J. (2023). Viscous to inertial coalescence of liquid lenses: A lattice Boltzmann investigation. Physical Review Fluids, 8(7). https://doi.org/10.1103/PhysRevFluids.8.074201

MLA:

Scheel, Thomas, et al. "Viscous to inertial coalescence of liquid lenses: A lattice Boltzmann investigation." Physical Review Fluids 8.7 (2023).

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