Longitudinal Thermocapillary Flow over a Dense Bubble Mattress

A common form of superhydrophobic surface is made out of a periodically grooved solid substrate, wherein cylindrical bubbles are trapped in a Cassie state. When a macroscopic temperature gradient is externally applied, Marangoni forces generate thermocapillary flow of characteristic magnitude \mathcal{U}=-aG\sigma_T/\mu in which 2ais the groove width, Gthe applied-gradient magnitude, \muthe liquid viscosity, and \sigma_Tthe...