中文摘要：

边界层感受性总是是在 laminar 狂暴的转变的一个热问题。最实际的 laminar 狂暴的转变属于三维的流动。无限的被扫向後面的平板边界层是典型三维的流动。它的感受性的学习在理论和应用两个都是重要的。在这份报纸，一个 freestream 骚乱模型被建立。一个修改第四顺序的 Runge-Kutta 计划被用于前进的时间，并且紧缩的有限差别计划被用于空间 discretization。在这些底上，不稳定的跨流动的旋涡是否能由免费溪流的骚乱在三维的边界层(无限的被扫向後面的平板边界层) 是激动的，数字地被学习。如果那么，水平的效果和三维的边界层感受性上的免费溪流的骚乱的方向进一步被学习。三维的边界层感受性的差别然后被独立考虑非平行的效果，扁平的板的领先的停滞点的影响，和被扫向後面的角度的变化讨论。三维的边界层感受性上的集中的研究将有益于水动力学稳定性理论的开发，并且为 laminar 狂暴的转变的预言和控制提供一个理论基础。

英文摘要：

Boundary-layer receptivity is always a hot issue in laminar-turbulent tran- sition. Most actual laminar-turbulent transitions belong to three-dimensional flows. An infinite back-swept fiat-plate boundary layer is a typical three-dimensionalflow. Study of its receptivity is important both in theory and applications. In this paper, a free- stream turbulence model is established. A modified fourth-order Runge-Kutta scheme is used for time marching, and compact finite difference schemes are used for space dis- cretization/ On these bases, whether unsteady cross-flow vortices can be excited in the three-dimensional boundary layer （the infinite back-swept flat-plate boundary layer） by free-stream turbulence is studied numerically. If so, effects of the level and the direc- tion of free-stream turbulence on the three~dimensional boundary-layer receptivity are further studied. Differences of the three-dimensional boundary-layer receptivity are then discussed by considering the non-parallel effect, influence of the leading-edge stagnation point of the flat plate, and variation of the back-swept angle separately. Intensive studies on the ＇three-dimensional boundary-layer receptivity will benefit the development of the hydrodynamic stability theory, and provide a theoretical basis for prediction and control of laminar-turbulent transition.