4.7 Article

A three-dimensional numerical model for the motion of liquid drops by the particle finite element method

Journal

PHYSICS OF FLUIDS
Volume 34, Issue 5, Pages -

Publisher

AIP Publishing
DOI: 10.1063/5.0091699

Keywords

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Funding

  1. Royal Commission for Jubail and Yanbu of Saudi Arabia
  2. Natural Science and Engineering Research Council of Canada (NSERC) [NSERC CRDPJ 445887-12]

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This paper proposes a new three-dimensional droplet dynamics model and solves it numerically. The results are compared with experimental data and show that the model can accurately predict droplet spreading and sliding behavior.
Analysis of drop spreading and sliding on solid substrates is critical for many industrial applications, such as microfluidic devices, cooling towers, and fuel cells. A new three-dimensional model is proposed for droplet dynamics. Its numerical solution is obtained by the particle finite element method, based on an updated Lagrangian framework to accurately track the deformation of the droplet. The model hinges on boundary conditions at the solid-liquid interface to account for viscous dissipation and retention forces. These conditions are essential to obtain mesh-independent solutions and a realistic spatiotemporal evolution of the droplet deformation. Several numerical simulations are performed to assess the performance of the model for spreading and sliding drops, and results are compared to experimental data found in the literature. Good agreement is obtained with the available data. Simulations performed in two dimensions show striking discrepancies with the experimental data, thus demonstrating the need for three-dimensional simulations. Published under an exclusive license by AIP Publishing.

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