Low Reynolds number slip flow in a curved rectangular duct

The radially symmetric, steady, slow viscous slip flow through a curved duct of rectangular cross section is studied. The Stokes equation is solved using eigenfunction expansions and Navier's slip condition. As slip is increased, the location of the maximum velocity moves from near center to the outer wall. The minimum velocity occurs at the inside corners. It is found that both slip and curvature promote the flow rate but not necessarily the mean velocity. [DOI: 10.1115/1.1445142]