Asymptotic Theory of Separation and Reattachment of a Laminar Boundary Layer on a Compression Ramp

Abstract : Laminar boundary layer separation and reattachment are considered for adiabatic flow over a compression ramp with a supersonic mainstream. For a large ramp angle, calculations based on the Stewartson-Williams triple-deck theory show that the regions of separation and reattachment become distinct, with an intervening plateau region of nearly constant pressure. The mathematical description of each of these distinct regions is given, and simple formulas derived for a number of quantities of interest, including the plateau pressure, conditions at separation and reattachment, and the geometry of the separated region. The theory should provide a useful tool for engineering analysis.