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Acta Mechanica Sinica

, Volume 35, Issue 1, pp 32–44 | Cite as

Quasi-static simulation of droplet morphologies using a smoothed particle hydrodynamics multiphase model

  • Xiangwei Dong
  • Jianlin LiuEmail author
  • Sai Liu
  • Zengliang Li
Research Paper
  • 35 Downloads

Abstract

Numerical simulation of the morphology of a droplet deposited on a solid surface requires an efficient description of the three-phase contact line. In this study, a simple method of implementing the contact angle is proposed, combined with a robust smoothed particle hydrodynamics multiphase algorithm (Zhang 2015). The first step of the method is the creation of the virtual liquid–gas interface across the solid surface by means of dummy particles, thus the calculated surface tension near the triple point serves to automatically modulate the dynamic contact line towards the equilibrium state. We simulate the evolution process of initially square liquid lumps on flat and curved surfaces. The predictions of droplet profiles are in good agreement with the analytical solutions provided that the macroscopic contact angle is accurately implemented. Compared to the normal correction method, the present method is straightforward without the need to manually alter the normal vectors. This study presents a robust algorithm capable of capturing the physics of the static wetting. It may hold great potentials in bio-inspired superhydrophobic surfaces, oil displacement, microfluidics, ore floatation, etc.

Keywords

Smoothed particle hydrodynamics Virtual interface method Multiphase flow Macroscopic contact angle Droplet morphology Curved surfaces 

Notes

Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grants 11672335 and 11611530541), China Postdoctoral Science Foundation (Grant 2017M622307), Shandong Natural Science Foundation (Grant ZR201709210320), Fundamental Research Funds for the Central Universities (Grant 18CX02153A), and the Endeavour Australia Cheung Kong Research Fellowship Scholarship from the Australian government.

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Xiangwei Dong
    • 1
    • 2
  • Jianlin Liu
    • 1
    Email author
  • Sai Liu
    • 1
  • Zengliang Li
    • 2
  1. 1.Department of Engineering Mechanics, College of Pipeline and Civil EngineeringChina University of Petroleum (East China)QingdaoChina
  2. 2.College of Mechanical and Electronic EngineeringChina University of Petroleum (East China)QingdaoChina

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