THE NONLINEAR EVOLUTION OF THE INVISCID SECONDARY INSTABILITY OF STREAMWISE VORTEX STRUCTURES

被引：4
|
作者：
BLACKABY, ND
HALL, P
机构：
[1] Dept of Mathematics, Univ of Manchester, Manchester
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1995年 / 352卷 / 1700期
关键词：
D O I：
10.1098/rsta.1995.0084
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The weakly nonlinear evolution of an inviscid marginally unstable wave growing on a boundary layer supporting a streamwise vortex structure is investigated. The nonlinear growth of the wave is found to be controlled by the diffusion layer located at the edge of the critical layer associated with the wave. The evolution equation is found to depend on the upstream history of the wave and the solution of the equation suggests that the wave either restructures the mean state so as to make it stable or develops a singularity at a finite distance downstream of the point of neutral stability.
引用
收藏
页码：483 / 502
页数：20
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