Multi-Frequency Nonlinear Interaction Perturbations in Supersonic Boundary Layer.

In the framework of the weakly nonlinear stability theory a mathematical modeling of the region of the nonlinear evolution of natural disturbances on an impermeable thermally insulated surface in a supersonic boundary layer was carried out for a Mach number M = 2. The first level of nonlinear interaction is investigated in the three-wave resonance systems. The main regularities of resonance interaction in single triplets composed of three-dimensional components are considered, group interaction (the joint realization of several simple triplets) is studied. The results proved to be adequate to the experimental data, which testifies to the possibility of such interaction at the initial stage of the nonlinear evolution of natural disturbances. [ABSTRACT FROM AUTHOR]