Laminar boundary layer on a flat plate with rotating cylinder

In the preseparation region a problem on the incompressible three-dimensional boundary layer development on a flat plate with an obstacle is posed. The uniqueness of the problem for a model equation is proved. It is shown that the outflow surface in the boundary layer on the plate is absent at the cylinder rotation. In this case there exists the special cylindrical surfaces (V-surfaces) whose rulings are orthogonal to the plate surface. The velocity vectors on each such ruling lie in the same plane, however this plane does not touch the V-surface. An absolute stable two-layer implicit difference weighted scheme of the second order approximation in all the variables is suggested which requires no fitting of the outflow surface. The comparison of the computational results with ones obtained by other authors and experiment is carried out. It is shown that besides the case of the cylinder rotation the V-surface takes place also in the case of the swept leading edge without rotation.