The effect of distributed suction/injection on the spatial linear inviscid instability of a supersonic boundary layer past a slender cone

The effect of localized suction/injection through two slots, with Gaussian wall velocity distribution, on the spatial inviscid stability of a compressible two-dimensional boundary layer on a slender cone is investigated. The solution of the basic flow and the stability equations are achieved by an efficient spectral numerical technique. Making use of this technique, the effect of localized suction/injection on the growth rates and frequencies of the first two unstable modes is studied, and the obtained results are presented graphically followed by discussion.