层流边界层C型失稳研究

本文研究了在平板层流边界层中，一个二维基本波和一对三维亚谐斜波的非线性作用，利用修正的弱非线性理论求出这些波的幅值、幅角的演化方程。文中主要观点是：高次谐波的能量不能瞬时被激发，而是由低次谐波通过非线性作用逐步产生的。本文积分有关方程，计算出基本波和亚谐斜波的参数，得到一段扰动演化曲线，与实验吻合较好。

A Research of the C Type Instability in a Laminar Boundary Layer

In this paper,The nonlinear resonant evolution of a two-dimensional fundamental wave and a pair of three-dimensional oblique subharmonic waves in a laminar boundary layer has been studied.Evolution equations for these waves were obtained by using the revised weakly non-linear theory. Independent amplitudes were assigned to higher order har-monies,the interactions between different harmonics were deduced with energy method,The main difference between the ideas in this paper and the original weakly nonlinear theory was that the energy of the higher harmonics can only be generated gradually,rather than spontaneously as the original theory suggested.The parameters of the fundamental and su-bharmonies using the resonant condition were calculated directly by inte-grating the related equation.The calculated evoluton curves agree reason-ally with experiment rasults.