Terekhova N.  

Multifrequency nonlinear interaction of perturbations in a supersonic boundary layer

In the framework of the weakly nonlinear stability theory (consideration of the interaction in resonance triplets), a mathematical modeling of the region of nonlinear evolution of natural perturbations in a supersonic boundary layer was carried out for a Mach number M = 2. For such perturbations, excitation of a wide frequency spectrum is observed with complete absence of data on the azimuthal composition of the spectrum components, and the energy transfer from the most energy-carrying components is realized both in the subharmonic region and in the high-frequency region (overtones). In these conditions, along with the consideration of frequency triplets, it becomes necessary to satisfy the phase-matching conditions and the azimuthal wave numbers of three-dimensional perturbations.

     The group triplets are constructed in which 12 synchronized frequencies are involved, the total number of simple triplets included in the group was 36. Two sets of synchronized azimuth numbers are simulated, in which the main carrier components are three-dimensional waves with maximum increments inside the neutral curve for the initial Reynolds numbers Re = 300 and 600.

      The results were sufficiently close to each other and to experimental data (Kosinov, Semenov, Ermolaev), which indicates the adequacy of the model in question to the true
The process of evolution of natural vortex perturbations with a moderate supersonic Mach number M = 2.

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