Laminar hypersonic boundary layer flow over compression ramp with sharp leading edge and upstream influence*

The present work aims to study the effects of shock wave -- boundary layer interaction in 2D hypersonic flow at the sharp leading edge of a flat plate.  A key parameter in this work is the hypersonic interaction parameter Χ, defined as Χ ≡ C M_∞³ / Re_∞,L^1/2. This flow is modeled as a perfect gas and it's behavior is studied over various compression ramp configurations, ranging from 0° - 6°, using a semi-analytical reduced-order model. To study these resulting effects we focus on characterizing the viscous boundary layer for an adiabatic flow over an insulated wall, improving on existing semi-analytic methods in terms of obtaining a non-singular solution, and using the Tangent Wedge approximation to match the pressure on the boundary layer. Upstream influence is studied as a function of the ramp angle and compared with new and previously developed correlations.