Sink flows of a suspension of rigid rods. II: Lubrication theory (Q1311348)

[For part I, see \textit{R. A. Keiller}, \textit{J. M. Rallison} and \textit{J. G. Evans}, J. Non-Newtonian Fluid Mech. 42, 249-266 (1992).] The flow of a suspension of rigid rods in a wedge of small angle is considered. In the lubrication limit, when the angular width of the channel is small but the rod concentration is high, it is found that wedges of fluid (here called stagnant zones) in the interior of the channel become asymptotically static. The small scale structure within these zones is determined, and matched asymptotic expansions are used to provide jump conditions across them.