Hypersonic Flow over a Wedge with Upstream Nonuniformities and Variable Wedge Angle

摘要

The paper analyzes the supersonic and hypersonic flow over a wedge placed in a parallel buut non-uniform free stream. The free stream property or velocity gradients are assumed to be small and in the spanwise direction. The substitution principle allows the transformation of a general non-uniform parallel free stream into one with constant velocity. In both the supersonic and hypersonic cases a perturbation analysis is used giving linear theories. Thus superposition is valid under certain restrictions and the problem treated is taken to be a small spanwise step in free stream properties. As the flow will then be conical the problem may be reduced to dependence upon only two independent variables. For hypersonic flows the perturbations of a strong shock, slender wedge flow due to either a free stream property or wedge angle discontinuity are obtained. The primary complicating features of the analysis are finding the shape of the perturbed shock wave and the treatment of the vorticity introduced by the curvature of the shock wave.