Analytic Investigation Of Transonic Normal Shock Boundary Layer Interaction

Advances in inviscid transonic flow field computational capability and supercritical airfoil design make it important to understand of the the physics of normal shock-boundary layer interactions. In this work, the Navier-Stokes equations are thoroughly investigated through the use of perturbation methods and a generalized multi-region model is proposed for interactions between weak normal shock waves and turbulent boundary layers. This model is first applied to a highly idealized case in which a uniform subsonic flow is used to model the boundary layer, and analytic results for the wall and interface pressure are obtained.