Uphill Movement of Sessile Droplets by Electrostatic Actuation

The dynamics of uphill motion and the internal circulation of a sessile droplet by inducing asymmetric electrocapillarity were formulated and investigated numerically. We developed and analyzed a coupled electro-hydrodynamic model that includes conservative body and surface forces along with electrostatic effects. The interplay between gravity and electrostatic actuation is influenced by induction voltage, the inclination of the surface, and the droplet volume. Actuation voltage on the sessile drop causes an internal circulation which, upon increasing strength, overcomes the gravitational pull to climb uphill. As uphill droplet climbing is a spatiotemporal phenomenon, droplet volume plays a major role in accommodating the internal circulations and subsequent climb. Simultaneously, actuation due to electrostatic force behaves differently on different inclined surfaces, causing a roll down at higher inclination and an uphill climb at lower ones. A pattern map has been generated to identify favorable conditions for uphill movement based on the inclination, actuation voltage, and volume of the droplet.