Increasing of the liquid flow rate due to contrast wettability in the microchannel

The global miniaturization leads to microchannels flows be perspective for novel cooling technologies. The problem of the drag reduction occurs in such systems. The two-dimensional Poiseuille flow in microchannel with Navier slip condition is considered. The presence of bubbles with 1 μm size on hydrophobic parts on the bottom wall of the channel is assumed for the problem. The calculations of the liquid flow rate and velocity depending on the slip length at the bottom wall have been done