Consistent integral thickness utilization for boundary layers with transverse curvature

Problems in which boundary layer displacement thickness (BLDT) and momentum thickness (MT) are nondimensionalized (by the boundary layer thickness BLT for integral thicknesses, and by freestream values for dependent variables) are analyzed. BLDT and MT are introduced by conceptually uniformizing the flowfield properties throughout the boundary layer. The wall, and hence the external flow streamlines, must be shifted by the value of BLDT normal to its own plane, for streamwise mass flux past the wall to equal mass flux in the boundary layer for nonuniform flow. Limits on the transverse curvature parameter (TCP) for which integral BLDT, MT, and shape factor BLDT/MT are valid measures of the respective parameters are investigated, and the behavior of flow parameters as TCP approaches infinity is studied.