Absolute instability in the compressible flow around a rotating cone

In the present paper the character of instability of compressible viscous flow around geometries rotating in the uniform flow is analyzed. The linear local stability theory is used to investigate the boundary layer stability. Following the works of Briggs and Bers in the field of plasma physics, the absolute instability region is identified by the singularities of dispersion relation called pinch-points. The regions of absolute instability in boundary layers of a rotating cone have been found. Calculations have been made for different Mach numbers, wall temperatures and rotational speeds of the cone.