On Stokes slip flow through a transversely wavy channel

The Stokes flow through a wavy or corrugated channel with surface slip is studied. The correct Navier's partial slip condition is applied and perturbation solutions about the small amplitude to channel width ratio are obtained. As in Stokes slip flow over a sphere, the resistance is not zero even when slip is infinite. The resistance (due to the interaction of waviness and slip) is larger when the corrugations of the two plates are out of phase than that when they are in phase.