On receptivity and linear stability of normal viscous shock layers using continuum equations

It is well known that the continuum (Navier-Stokes-Fourier) equations fail to describe the internal structure of shock layers at Mach numbers beyond about M = 1.5 (Liepmann et al. 1962, 1966; Bird 1968; Schmidt 1969; Alsmeyer 1976). The present effort revisits the linear stability of normal viscous shock layers at low Mach numbers, utilizing the classic one-dimensional, steady, viscous solution of Gilbarg & Paolucci (1953) and extending the linear stability analysis of Duck & Balakumar (1992) to address oblique planar shocks. Subsequently, first steps extending the recent inviscid receptivity analysis work of Harris & Wagnild (2025) will be discussed. Results are also compared with those obtained in the framework of our parallel (inviscid) effort "On receptivity and linear stability of inviscid normal shocks using continuum equations" and will be discussed at the time of the meeting.