Direct numerical simulation and analytical modeling of electrically induced multiphase flow

In this study deformation of a falling drop which is surrounded by another liquid is modeled analytically and numerically. The drop is influenced by an external electric field which is applied uniformly on the side walls of the domain. An open-source volume-of-fluid solver, Gerris with dynamic adaptive grid refinement has been used for numerically modeling the three-dimensional deformation of a falling droplet. Analytical solutions of drop's deformation are presented in detail and then the outcomes are compared with numerical results. The numerical results are presented for various values of density ratios and electrical conductivity and permittivity. The comparison of the results shows a great agreement between the analytical solutions and the direct numerical simulation (DNS) results.