A model for uphill droplet motion

Abstract

This paper focuses on the behaviour of a liquid droplet over the surface of a treated solid substrate. It deals with the use of surface tension forces induced by setting up a gradient of wettability to allow the evacuation of the dispersed phase. The main aim is to present a new model capable of predicting the motion of a droplet of known volume over a surface with a wettability gradient that explicitly takes contact angle hysteresis into account. Several authors have established a phenomenological footprint radius, from which the droplet starts moving. Our model, provides a relationship to find this critical droplet size. The results show that the contact angle hysteresis parameter appears to be a key issue in droplet dynamics and in the accurate prediction of droplet motion.