Lattice Boltzmann Simulations of Multiple Droplet Interactions During Impingement on the Substrate

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Zhou, Wenchao
Loney, Drew
Fedorov, Andrei G.
Levent Degertekin, F.
Rosen, David W.

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University of Texas at Austin


Studying material interface evolution in the course of multiple droplet interactions is critical for understanding the material additive process in inkjet deposition. In this paper, we have developed a novel numerical model based on the Lattice Boltzmann Method (LBM) to simulate the interface dynamics during impingement and interaction of multiple droplets. A lattice Boltzmann formulation is proposed to solve the governing equations of the continuous phasefield model that are used in commercial software COMSOL. The LBM inter-particle force is derived by comparing the recovered macroscopic equations from LBM equations with the governing equations of the phase-field model. In addition, a new set of boundary conditions for the LBM formulation is proposed based on conservation of mass and momentum to ensure correct evolution of contact line dynamics. The results of LBM simulations are compared with those of COMSOL and experimental data from literature. The comparison shows the proposed LBM model not only yields a significant improvement in computational speed, but also results in better accuracy than COMSOL as validated against the experiments. We have also demonstrated the capability of the developed LBM numerical solver for simulating interactions between multiple droplets impinging on the substrate, which is critical for development and optimization of inkjet manufacturing.


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