Stokes slip flow in a rough curved microchannel with transversely corrugated walls

In this paper, the theoretical model of a slip flow through a rough curved microchannel is given to predict the effects of surface roughness in the slip flow regime relative to the continuum flow. The surface roughness is structured as one-directional sinusoidal corrugations. The flow rate gener-ated by a pressure gradient across the corrugations have been obtained analytically by domain perturbation technique. It is found that, in the slip regime, the flow is decreased by the presence of roughness, when compared to a smooth curved channel flow. Furthermore, the results show that as we transition from the continuum flow to the slip flow regime, the effects due to surface roughness may become more profound with the increase in the wavenumber of the roughness.

Automated summary

This paper presents a theoretical model to predict the effects of surface roughness in slip flow regime compared to continuum flow in a curved microchannel. The surface roughness is structured as one-directional sinusoidal corrugations. The flow rate generated by a pressure gradient across the corrugations is obtained analytically using the domain perturbation technique. The study reveals that the presence of roughness decreases the flow in the slip regime when compared to a smooth curved channel flow. Additionally, the results show that as the wavenumber of the roughness increases during the transition from continuum flow to slip flow regime, the effects due to surface roughness may become more profound.