文档介绍：第 23 卷第 2 期航空学报 Vo l. 23 N o. 2

2002 年 3 月 ACT A A ERO N A U T ICA ET A ST RON A U T ICA SINICA M ar. 2002
文章编号: 1000-6893( 2002) 02-0166-04
可压缩非平行流边界层稳定性研究
唐登斌, 马前容, 成国玮
( 南京航空航天大学空气动力学系, 江苏南京 210016)
STUDY PRESSIBLE NONPARALLEL FLOW STABILITY FOR BOUNDARY LAYERS
TANG Deng -bin, M A Qian-rong , CHEN Guo-w ei
( Depart ment of A ero dy namics, N anjing U niv ersity of A eronautics and A stronautics, N anjing 210016, China)
摘要: 采用线性稳定性理论和多重尺度方法, 研究三维可压缩的非平行流边界层稳定性问题。分析了可解
条件的特征, 导出精确计算所需的伴随问题方程渐近外边界条件的矩阵表达式, 给出有控制的重正化方法, 以
有效地克服刚性方程在积分求解中的困难。探讨与非平行性作用相关的方程和影响因素, 特别是新的特征函
数畸变对扰动增加率的作用。通过算例, 清楚地显示了流动的非平行性对边界层稳定性的影响。
关键词: 非平行流; 边界层稳定性; 三维; 可压缩流; 多重尺度法
中图分类号: O 357. 41; V 211. 18 文献标识码: A
Abstract: T pressible linear stabilit y theory and the m ethod o f m ultiple scales are used to st udy the
pro blem of three dimensio nal no nparallel flo w stability for bo undary lay ers. So lv ability condition is analyzed.
A matrix ex pressio n of t he asymptot ic edge bo undary condition, which is used to ex act put a-
tio n, is deriv ed. A co ntro lled renormalizat ion method is used, in order t o resolv e the difficulty due to the stiff
feature o f these equatio ns. T he relat ed equatio ns and elem ents to nonparallelism are studied, including specif-
ically the effect of new distortio n of the eigenfunction o n t he disturbance g ro w th rat e whic