INVERSE SOLUTIONS FOR LAMINAR BOUNDARY-LAYER FLOWS WITH SEPARATION AND REATTACHMENT

摘要

Numerical solutions of the laminar, incompressible boundary-layer equations are pre¬sented for flows involving separation and reattachment. Regular solutions are obtained with an inverse approach in which either the displacement thickness or theskin friction is speci-fied;the pressure is deduced from the solution. A vorticity—stream-function formulation of the boundary-layer equations is used to eliminate the unknown pressure. Solutions of the resulting finite-difference equations, in which the flow direction is taken into account, are obtained by several global iteration schemes which are stable and have unconditional diago¬nal dominance. Results are compared with Klineberg and Steger's separated boundary-layer calculations, and with Briley's solution of the Navier-Stokes equations for a separated region. In addition, an approximate technique is presented in which the streamwise convection of vorticity is set equal to zero in the reversed flow region;such a technique results in a quick forward-marching procedure for separated flows.