Nonlinear Stability of Supersonic Nonparallel Boundary Layer Flows  

超声速非平行边界层的非线性稳定性研究(英文)

作　　者：郭欣 唐登斌[1] 

机构地区：[1]南京航空航天大学空气动力学系

出　　处：《Chinese Journal of Aeronautics》2010年第3期283-289,共7页中国航空学报（英文版）

基　　金：National Natural Science Foundation of China (10772082);Doctoral Foundation of Ministry of Education of China (20070287005)

摘　　要：This article studies the nonlinear evolution of disturbance waves in supersonic nonparallel boundary layer flows by using nonlinear parabolic stability equations （NPSE）. An accurate numerical method is developed to solve the equations and march the NPSE in a stable manner. Through computation,are obtained the curves of amplitude and disturbance shape function of harmonic waves. Especially are demonstrated the physical characteristics of nonlinear stability of various harmonic waves,including instantaneous stream wise vortices,spanwise vortices and Λ structure etc,and are used to study and analyze the mechanism of the transition process. The calculated results have evidenced the effectiveness of the proposed NPSE method to research the nonlinear stability of the supersonic boundary layers.This article studies the nonlinear evolution of disturbance waves in supersonic nonparallel boundary layer flows by using nonlinear parabolic stability equations （NPSE）. An accurate numerical method is developed to solve the equations and march the NPSE in a stable manner. Through computation,are obtained the curves of amplitude and disturbance shape function of harmonic waves. Especially are demonstrated the physical characteristics of nonlinear stability of various harmonic waves,including instantaneous stream wise vortices,spanwise vortices and Λ structure etc,and are used to study and analyze the mechanism of the transition process. The calculated results have evidenced the effectiveness of the proposed NPSE method to research the nonlinear stability of the supersonic boundary layers.

关 键 词：boundary layer stability NONLINEARITY supersonic flow nonparallelism nonlinear parabolic stability equations 

分 类 号：V212.121[航空宇航科学与技术—航空宇航推进理论与工程] V414.34