Electric field effect on the contact angle for non-wetting drops.

A microscopic model is formulated concerning the electrowetting of an electrically conducting drop on a dielectric substrate. The interaction energy between the drop and substrate includes both van der Waals attractive forces and Born repulsive forces resulting in an equilibrium gap. An augmented Young-Laplace equation is derived and used as the basis for calculations of wetting phenomena both with and without an applied voltage. In the absence of an electric field, a well-defined Young's angle is established at a distance from the meniscus incipience that is less than 100 times the equilibrium gap. An expression for Young's angle is determined showing its dependence on material properties of the system. With an electric field applied, the meniscus angle changes continuously from the three-phase line (TPL), where it is near zero, until after a distance of at least ten times the thickness of the dielectric where the Lippmann angle is established. Therefore, the initial angle is not the Lippmann angle and care must be taken in the interpretation of measurements of an apparent contact angle.