We propose an electro-hydrodynamics model to describe the dynamic evolution
of a slender drop containing a dilute ionic surfactant on a naturally wettable
surface, with a varying external electric field. This unified model reproduces
fundamental microfluidic operations controlled by electrical signals, including
dewetting, rewetting, and droplet shifting. In this paper, lubrication theory
analysis and numerical simulations illustrate how to electrically control the
wettability of surface via the charged surfactant. Our numerical results show
that electric field promotes dewetting by attracting ionic surfactants onto the
transition thin-film region and promotes rewetting by attracting them away from
the region.Comment: 16 pages, 13 figure