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.

中文翻译：

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超音速边界层中扰动之间的三波相互作用

摘要-

在弱非线性稳定理论的框架内，研究了不可渗透表面超音速边界层中涡旋扰动（Tollmien-Schlichting波）之间的相互作用。研究了非线性相互作用的第一层，即在三波共振系统中的相互作用。考虑了由平面和三维组成的三胞胎相互作用的主要特征，于是研究了群体相互影响（几个简单三胞胎的联合实现）。对受控和自然两种类型的扰动的流向动力学进行了建模。能量重新分配的可能性是，这些波系统在构成波包之间的非线性相互作用的情况下被研究。