Dynamics of particulate droplets collision: An Allen-Cahn based multiphase lattice Boltzmann approach

This study presents an investigation into the collision dynamics of particulate droplets using a two-dimensional Lattice Boltzmann Method (LBM) framework, enhanced by a phase-field model based on the Allen-Cahn (A-C) equation. The paper validates the LBM approach against established references, ensuring accuracy and reliability. Simulations cover head-on and off-center collisions under various conditions, including different particle sizes and numbers, as well as varying Weber and Reynolds numbers. The findings demonstrate that particles within droplets significantly influence the collision dynamics, particularly in terms of momentum transfer and collision asymmetry. The research highlights the complex interplay between particle dynamics and droplet behavior, offering insights into industrial processes such as pharmaceuticals, coating applications, and the oil and energy sectors. The study contributes to the broader understanding the nuanced effects of particles in droplet collisions and the results and methodologies presented can be applied to various practical applications.