Numerical and asymptotic analysis of the three-dimensional electrohydrodynamic interactions of drop pairs

We study the pairwise interactions of drops in an applied uniform DC electric field within the framework of the leaky dielectric model. We develop three-dimensional numerical simulations using the boundary integral method and an analytical theory assuming small drop deformations. We apply the simulations and the theory to explore the electrohydrodynamic interactions between two identical drops with arbitrary orientation of their line of centres relative to the applied field direction. Our results show a complex dynamics depending on the conductivities and permittivities of the drops and suspending fluids, and the initial drop pair alignment with the applied electric field.

Automated summary

This study investigates the electrohydrodynamic interactions between two identical drops in an applied electric field through numerical simulations and analytical theory. The results reveal a complex dynamics dependent on the conductivities and permittivities of the drops and suspending fluids, as well as the initial alignment of the drop pair with the electric field.