Lattice Boltzmann simulation of three-phase flows with moving contact lines on curved surfaces

Sheng Li, Yang Lu, Fei Jiang, and Haihu Liu
Phys. Rev. E 104, 015310 – Published 23 July 2021

Abstract

A numerical method for simulating three-phase flows with moving contact lines on arbitrarily complex surfaces is developed in the framework of the lattice Boltzmann method. In this method, the immiscible three-phase flow is modeled through a multiple-relaxation-time color-gradient model, which not only allows for a full range of interfacial tensions but also produces stable outcomes for a wide range of viscosity ratios. A characteristic line model is introduced to implement the wetting boundary condition, which is not only easy to implement but is also able to handle arbitrarily complex boundaries with prescribed contact angles. The developed method is first validated by the simulation of a Janus droplet resting on a flat surface, a perfect Janus droplet deposited on a cylinder, and the capillary intrusion of ternary fluids for various viscosity ratios. It is then used to study a compound droplet subject to a uniform incoming flow passing through a multipillar structure, where three different values of surface wettability are considered. The simulated results show that the surface wettability has significant impact on the droplet dynamic behavior and final fluid distribution.

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  • Received 18 October 2020
  • Accepted 13 June 2021

DOI:https://doi.org/10.1103/PhysRevE.104.015310

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Sheng Li1, Yang Lu1, Fei Jiang2, and Haihu Liu1,*

  • 1School of Energy and Power Engineering, Xi'an Jiaotong University, 28 West Xianning Road, Xi'an 710049, China
  • 2Department of Mechanical Engineering and Blue Energy Center for SGE Technology (BEST), Yamaguchi University, Ube 7558611, Japan and International Institute for Carbon-Neutral Energy Research (WPI-I2CNER), Kyushu University, Fukuoka 8190395, Japan

  • *haihu.liu@mail.xjtu.edu.cn

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Vol. 104, Iss. 1 — July 2021

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