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A Correct Benchmark Problem of a Two-Dimensional Droplet Deformation in Simple Shear Flowopen access

Authors
Yang, JunxiangLi, YibaoKim, Junseok
Issue Date
11월-2022
Publisher
MDPI
Keywords
droplet breakup; simple shear flow; two-phase flow; Navier-Stokes equation; Cahn-Hilliard equation
Citation
MATHEMATICS, v.10, no.21
Indexed
SCIE
SCOPUS
Journal Title
MATHEMATICS
Volume
10
Number
21
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/146527
DOI
10.3390/math10214092
ISSN
2227-7390
Abstract
In this article, we numerically investigate a two-dimensional (2D) droplet deformation and breakup in simple shear flow using a phase-field model for two-phase fluid flows. The dominant driving force for a droplet breakup in simple shear flow is the three-dimensional (3D) phenomenon via surface tension force and Rayleigh instability, where a liquid cylinder of certain wavelengths is unstable against surface perturbation and breaks up into individual droplets to reduce the total surface energy. A 2D droplet breakup does not occur except in special cases because there is only one curvature direction of the droplet interface, which resists breakup. However, there have been many numerical simulation research works on the 2D droplet breakups in simple shear flow. This study demonstrates that the 2D droplet breakup phenomenon in simple shear flow is due to the lack of space resolution of the numerical grid.
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