抛物化稳定性方程在曲面边界层中的应用

为了研究抛物化稳定性方程在曲面边界层中的应用,选取了等曲率圆环管道、等曲率板和NACA0012翼型3种典型的曲面边界层.通过计算小幅值扰动波的演化,抛物化稳定性方程的计算结果和线性稳定性理论、数值模拟扰动方程结果相符,说明可以使用抛物化稳定性方程研究曲面边界层的小幅值扰动波的演化和稳定性分析;通过计算有限幅值扰动波的演化,线性阶段抛物化稳定性方程计算结果和扰动方程相符,在非线性很强的阶段,抛物化稳定性方程计算发散,发散的位置可作为转捩位置.

Application of the parabolized stability equation in curved surfaces boundary layers

In order to research the application of the parabolized stability equation in curved surfaces boundary layers, three typical curved surface boundary layers of identical curvature circle pipelines, identical curvature plates and NACA0012 wing were calculated.Through calculation of the evolution of small amplitude disturbance waves, the results of the parabolized stability equation were compared with the linear stability theory and numerical simulation of disturbance equations.The consistency indicates the evolution and stability analysis of small amplitude disturbance waves could be studied by the parabolized stability equation in curved surfaces boundary layers. For the evolution of finite amplitude disturbance wave, the result by the parabolized stability equation is accordant with disturbance equations in linear stage.Using the parabolized stability equation, computational divergence will appear in the strong nonlinear stage and the divergence position can be used as the transition position.