Electrohydrodynamic viscous fingering of leaky dielectric fluids in a channel

Viscous fingering is a commonly observed interfacial instability during fluid displacement, where fingerlike shape formed at the interface when more viscous displaced by less fluid. In this study, hybrid numerical model based on lattice Boltzmann method and finite difference developed for investigating control of leaky dielectric fluids confined in channel using electrohydrodynamics. Extensive simulations are carried out studying effects strength direction electric field as well properties, including permittivity ratio conductivity ratio, fingering. It shown that horizontal field, i.e., electrical perpendicular to motion, can either promote or suppress fingering, depending ratio. For vertical extent promotion first decreases then increases with increase constant Also, various morphologies, such broad fingers thin jets, under different properties. A phase diagram both established ratios characterize morphologies. This study offers insight into electrohydrodynamic fluids, which could facilitate multiphase flow applications, enhanced oil recovery coupled chromatographic systems separation.