Rough curved microchannel slip flow

This paper models a slip flow through a curved microchannel. The curved walls confining the flow have surface roughness of small amplitude. Through domain perturbation analysis, the analytical expression of the volumetric flow rate is obtained as a function of the Knudsen number of the slip flow, the channel radius of curvature and the parameters characterising the surface roughness. It is found that the surface roughness effect is decreased in the slip regime compared to the continuum case. The study further shows that the volumetric flow rate can be enhanced, depending on roughness parameters. The channel radius of curvature has a significant effect on the entire flow.