Incompressible flow along a corner

Abstract

The incompressible viscous flow along a right-angle corner, formed by the intersection of two semi-infinite flat plates, is considered. The effect of the three-dimensional geometry on the second-order ‘boundary layer’ flow away from the corner is determined and an interesting secondary flow is deduced. It is observed that this cross-flow prescribes the necessary asymptotic boundary conditions for the equations governing the flow inside the ‘corner layer’. A systematic matching scheme is specified and the corner flow problem is reformulated in terms of the ‘corner layer-boundary layer’ matching conditions.