Effect of the relative magnitude of conductivity and permittivity ratio on compound droplet dynamics under transverse electric field and shear flow

The dynamics of a two-dimensional compound droplet are investigated under the combined influence of transverse electric field and shear flow. Governing electrohydrodynamic equations are solved employing phase filed based interface capturing technique. Simulations are performed for selected values of conductivity ratio and permittivity ratio. Droplet motion is steered by electrical force experienced by the charge accumulated on the droplet interface. The interplay of Electric forces and viscous forces depends on the relative magnitude of conductivity ratio and permittivity ratio. Delays or advancement of droplet elongation and breakup are controlled by electric field strength.