Stability of the laminar boundary layer in a streamwise corner
Stability of the laminar boundary layer in a streamwise corner
复制标题
流向角部层流边界层的稳定性
DOI：
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
M. Y. Hussaini
中科院分区：
文献类型：
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作者：
W. Lakin;M. Y. Hussaini
本文研究了沿流向拐角沿着粘性不可压缩流的稳定性，通常称为拐角边界层问题。得到了在“混合边界层”区域内小扰动所满足的半无限边值问题。角部诱导的平均二次流在该区域表现出流动逆转。推导出控制微分方程解的一致有效的“第一近似”。通过适当选择大参数和使用适当的Langer变量，可以实现无穷远处的均匀性。平衡型解的近似值在临界层上有一个相移，这与二维边界层剖面的不稳定性有关。
This work examines the stability of viscous, incompressible flow along a streamwise corner, often called the corner boundary-layer problem. The semi-infinite boundary value problem satisfied by small-amplitude disturbances in the ‘blending boundary layer’ region is obtained. The mean secondary flow induced by the corner exhibits a flow reversal in this region. Uniformly valid ‘first approximations’ to solutions of the governing differential equations are derived. Uniformity at infinity is achieved by a suitable choice of the large parameter and use of an appropriate Langer variable. Approximations to solutions of balanced type have a phase shift across the critical layer which is associated with instabilities in the case of two-dimensional boundary layer profiles.