On receptivity and linear stability of inviscid normal shocks using continuum equations

The receptivity of a normal shock was analyzed by Ribner (1953, 1954) neglecting reflections - slow acoustic waves propagating upstream in the subsonic region after the shock. The analysis was later extended for oblique shocks by McKenzie & Westphal (1968), who also discussed the case where slow acoustic waves impact the shock on the high-pressure side. Morkovin (1960) was among the first to consider a solid boundary, enforcing impermeability of the disturbances on the wall at some distance from the shock. However, the post-shock flow was assumed to be uniform, only disturbances aligned with the freestream were analyzed, and the wall was set at an arbitrary distance from the shock. In this work, the above simplifying assumptions are assessed, and their effect on the receptivity is quantified. Results are compared with those obtained in the framework of our parallel (viscous) effort "On receptivity and linear stability of normal viscous shock layers using continuum equations" and will be discussed at the time of the meeting.