Laminar boundary layer at a discontinuity in wall curvature

Consideration of the problem arising when a boundary layer encounters a jump discontinuity in wall curvature. At the discontinuity, inviscid flow theory predicts a jump in the pressure gradient if the external flow is supersonic and gives a logarithmically infinite pressure gradient if the flow is subsonic. These discontinuities are removed by appropriate local solutions which take into account the interaction of a laminar boundary layer with the external flow. Continuous expressions are obtained for the pressure gradient which are presumed to be correct asymptotic representations as the viscosity coefficient approaches zero.