Flows about grooved superhydrophobic surfaces

Superhydrophobic particles are made out of hydrophobic (i.e. water repellent) solid substrates, which are decorated with a texture of holes. When submerged in water, air bubbles are trapped in the holes. Since the friction of air is smaller than that of water, these surfaces exhibit smaller resistance to flow, rendering them attractive to numerous engineering applications. We propose to use mathematical methods to investigate the properties of these surfaces.