In order to research the application of the parabolized stability equation in curved surfaces boundary layers

three typical curved surface boundary layers of identical curvature circle pipelines

identical curvature plates and NACA0012 wing were calculated.Through calculation of the evolution of small amplitude disturbance waves

the results of the parabolized stability equation were compared with the linear stability theory and numerical simulation of disturbance equations.The consistency indicates the evolution and stability analysis of small amplitude disturbance waves could be studied by the parabolized stability equation in curved surfaces boundary layers. For the evolution of finite amplitude disturbance wave

the result by the parabolized stability equation is accordant with disturbance equations in linear stage.Using the parabolized stability equation

computational divergence will appear in the strong nonlinear stage and the divergence position can be used as the transition position.