Non-Parallel-Flow Effects on Stationary Crossflow Vortices at Their Genesis
Non-Parallel-Flow Effects on Stationary Crossflow Vortices at Their Genesis
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静止横流涡产生时的非平行流效应
DOI：
10.1016/j.piutam.2015.03.055
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Butler A
中科院分区：
文献类型：
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作者：
Butler A
本文研究了后掠机翼层流边界层流动的线性稳定性，得到了具有展向波数的定常摄动，其中β是无量纲的弦向距离L到前缘，安德烈数是基于L的雷诺数。这种标度对应于中性曲线的下分支区域，因此代表了定常横流涡旋的发生阶段。结果表明，在这一阶段或区域，流动的非平行度对不稳定性的发展起主导有序作用。非平行流效应由两部分组成：基流剖面的流向变化和特征函数的失真。这两个对增长速率的贡献是相同数量级的，并且都与机翼表面基流剖面的四阶垂直导数密切相关。讨论了这一发现对用Orr-Sommerfeld方程描述定常旋涡的意义。
The linear stability of a laminar boundary-layer flow over a swept wing is studied for a stationary perturbation with spanwise wavenumber , where β is non-dimensionalised by the chordwise distanceLto the leading edge, andReis the Reynolds number based onLThis scaling corresponds to the lower-branch regime of the neutral curve, and hence represents the genesis stage of stationary crossflow vortices. We show that in this stage or regime, the non-parallelism of the flow plays a leading order role in the growth of the instability. Non-parallel-flow effects consist of two parts: the streamwise variation of the base-flow profiles, and the distortion of the eigenfunction. These two contributions to the growth rate are found to be of the same order of magnitude, and both are closely related to the 4th-order vertical derivatives of the base-flow profile on the surface of the wing. The implication of the present finding on the description of stationary vortices using the Orr-Sommerfeld equation is discussed.
稳态和非稳态非平行边界层中的三维不稳定性，包括 Tollmien-Schlichting 扰动和横流的影响
DOI：
--
发表时间：
1987
期刊：
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
影响因子：
--
作者：
P. Stewart;F. Smith
通讯作者：
F. Smith
旋转盘上边界层不稳定稳态模式的渐近研究
DOI：
10.1098/rspa.1986.0066
发表时间：
1985
期刊：
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
影响因子：
--
作者：
P. Hall
通讯作者：
P. Hall