Scaling of Two- and Three-Dimensional Shock/Turbulent Boundary-Layer Interactions at Compression Corners

Abstract

This paper begins by considering how the upstream influence of a two-dimensional shock wave/turbulent boundary-layer interaction scales with the parameters of the incoming flow. Several recent experiments with equilibrium, supersonic, adiabatic turbulent boundary layers are considered in this light. Based on dimensional analysis, a functional relation is found among the upstream influence and the related parameters b0, Re, a, and Mw. Then, an explicit correlation of these parameters is derived from the experimental data. The correlation demonstrates that, when upstream influence is scaled by boundary-layer thickness, an RebQ residual remains. Further, some long-standing discrepancies among the experiments in this field are largely accounted for. Then, the upstream influence of three-dimensional interactions is examined to see if it scales in a manner similar to that of two-dimensional interactions. Based on measurements presented here for the first time, this is indeed the case, with the important provision that the flow development in both the streamwise and spanwise directions must be scaled simultaneously.