Mathematical Model of the Dynamics of Multiple Droplets in the Presence of Electromagnetic Fields

Abstract

This research explores the dynamic interaction of two viscous liquid droplets within an electric field, emphasizing the significance of mathematical and computational modeling in industrial technology applications. A mathematical model incorporating Laplace's equation in spherical coordinates and interaction forces is developed, alongside computational simulations using COMSOL Multiphysics to determine the electric field strength distributions near the droplets. Preliminary results, derived from numerical calculations that factor in diverse physical and electric parameters, exhibit consistency with established physical concepts, underlining the models' validity and computational efficacy.