Interaction of disturbances with an oblique detonation wave attached to a wedge

The linear response of an oblique overdriven detonation to imposed free‐stream disturbances or to periodic movements of the wedge is examined. The free‐stream disturbances are assumed to be steady vorticity waves and the wedge motions are considered to be time periodic oscillations either about a fixed pivot point or along the plane of symmetry of the wedge aligned with the incoming stream. All disturbances are assumed to have wavelengths large compared to the thickness of the detonation so that the detonation is considered to be a region of infinitesimal thickness in which a finite amount of heat is released. The response to the imposed disturbances is a function of the Mach number of the incoming flow, the wedge angle, and the exothermicity of the reaction within the detonation. It is shown that, as the degree of overdrive increases, the amplitude of the response increases significantly; furthermore, a fundamental difference in the dependence of the response on the parameters of the problem is found bet...