Coalescence of conducting
droplets dispersed in an immiscible medium
can be facilitated by an electric field. However, droplets recoil
promptly after contact in sufficiently high electric fields if the
cone angle between droplets exceeds a critical value. To elucidate
the critical condition for droplet coalescence, the behavior of two
suspended droplets after contact with a direct current electric field
is studied. It is shown that the critical angle is determined not
only by the droplet geometry but also conductivity, surfactant concentration,
and size. As the droplet conductivity increases, more identical ions
accumulate on the adjacent interfaces of two droplets due to the faster
ionic migration, which results in Coulombic repulsion between droplets
and a reduced critical angle. For surfactant-laden droplets, film
drainage induces a surfactant concentration gradient on the leading
edges of droplets, and then Marangoni stress is formed to reduce the
critical angle. In the case of large droplets, the bridge transiently
expands under the action of directional flow caused by further droplet
deformation, but eventually breaks due to opposite electrostatic forces.
Based on this finding, the electrocoalescence criterion can be determined
and employed to facilitate droplet coalescence in various applications.