STOKES-FLOW IN A SLOWLY VARYING 2-DIMENSIONAL PERIODIC PORE

This article presents a series solution to the velocity in a two-dimen sional long sinusoidal channel. The approach is based on a stream func tion formulation of the Stokes problem and a series expansion in terms of the width to the length ratio, which is considered small. Results show how immobile zones may appear and even flow separation and nontur bulent eddies, even in the absence of prima facie dead-end pores. It i s shown that the how tends to concentrate in strips connecting pore th roats.