Similar velocity profiles and integral quantities of a boundary layer on a rotating cylinder

Similar solutions for the laminar boundary layer of a rotating cylinder in axial compressible flow were calculated for a range of pressure gradients (B) and rotations (r). Two pairs of parameters B and r such that the corresponding longitudinal and circumferential velocity profiles are identical are found. A linear relation exists between B and r, and all the profiles can be calculated in relation to them. The integral quantities of the boundary layer can be used to calculate complex configurations such as shock/boundary layer interaction on rotating bodies. Rotation energizes the longitudinal acceleration velocity profile with an excess velocity for the highest values of r. Rotation reduces separation judged as the negative value of the axial component. It also reduces the circumferential velocity profile.