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We investigate the dynamics of micron-scale drops pushed across a hydrophobicor superhydrophobic surface. The velocity profile across the drop varies fromquadratic to linear with increasing height, indicating a crossover from asliding to a rolling motion. We identify a mesoscopic slip capillary numberwhich depends only on the motion of the contact line and the shape of the drop,and show that the angular velocity of the rolling increases with increasingviscosity. For drops on superhydrophobic surfaces we argue that a tank treadingadvance from post to post replaces the diffusive relaxation that allows thecontact line to move on smooth surfaces. Hence drops move on superhydrophobicsurfaces more quickly than on smooth geometries.

Drop dynamics on hydrophobic and superhydrophobic surfaces