Stability of Supersonic Boundary Layer with Internal Heat Supply and Injection of Homogeneous Gas through a Porous Wall

Abstract

The influence of the Mach number and Reynolds number on the stability of the boundary layer with internal heat supply  and homogeneous gas injection through the porous wall is studied. At a fixed Mach numbers, the dependence of perturbation amplification rate on the distance to the plate leading edge is not monotonic. As the Reynolds number increases,  the phase velocity tends to the velocity at the inflection generalizing point. Two-dimensional waves are the most growing in the boundary layer. With increasing Mach number and a fixed distance from the plate, edge there is a strong stabilization of the boundary layer. At M=4 the amplification rate maximum decreases in comparison with the corresponding  value at M=0 by more than an magnitude order, and the length of the stable boundary layer increases by a factor of 2. At  the same time, a frequency at the neutral curve critical point decreases by a factor of about three. It has been establishing  that both in the absence of gas injection through a porous wall and in its presence, the internal heat supply has a stabilizing effect on the boundary layer. Within the adopted model of heat supply at M=3 the degree of amplification decreases  by about one and a half times in comparison with the case without internal heating of the boundary layer