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.