Abstract—
The interaction between vortex disturbances (Tollmien—Schlichting waves) in the supersonic boundary layer on an impermeable surface is studied within the framework of the weakly nonlinear stability theory. The first level of the nonlinear interaction, namely, that in three-wave resonance systems, is investigated. The main features of the interaction in unit triplets consisting of plane and three-dimensional components, are considered, whereupon the group mutual influence (the joint realization of several simple triplets) is studied. The streamwise dynamics of the disturbances of two types, controlled and natural, are modeled. The possibility of energy redistribution is these wave systems in the case of the nonlinear interaction between the constituting wave packets is studied. The resonance interactions are shown to be adequate to the actual nonlinear processes at the earlier transition stages.
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Funding
The study was carried out within the framework of the Program of Basic Scientific Investigations of the State Academies of Sciences for the years 2013–2020 (project АААА-22.6.4.) and with support of the Russian Foundation for Basic Research under grant 17-19-01289.
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Translated by M. Lebedev
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Gaponov, S.A., Terekhova, N.M. Three-Wave Interactions between Disturbances in a Supersonic Boundary Layer. Fluid Dyn 55, 583–591 (2020). https://doi.org/10.1134/S0015462820050067
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DOI: https://doi.org/10.1134/S0015462820050067