Boundary layer flow on a long thin cylinder
Boundary layer flow on a long thin cylinder
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细长圆柱体上的边界层流
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
A. T. Parsons
中科院分区：
文献类型：
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作者：
O. Tutty;W. Price;A. T. Parsons
考虑沿着与流动对齐的细长圆柱体的边界层的发展。给出了数值解并与之前的渐近结果进行了比较。非常靠近前缘的流动由平板的 Blasius 解给出。然而，很快就出现了与 Blasius 流的显着偏差，边界层更薄，壁面剪切应力更高。研究了流动的线性简正模稳定性。结果发现，雷诺数小于临界值 1060 时，流动是无条件稳定的。此外，轴对称模式只是该问题中第四个最不稳定的模式，前三个三维模式都具有较低的临界雷诺数。此外，对于高于临界值的雷诺数，流动仅在有限距离内不稳定，并在下游足够远的地方恢复稳定。
The development of the boundary layer along a long thin cylinder aligned with the flow is considered. Numerical solutions are presented and compared with previous asymptotic results. Very near the leading edge the flow is given by the Blasius solution for a flat plate. However, there is soon a significant deviation from Blasius flow, with a thinner boundary layer and higher wall shear stress. Linear normal mode stability of the flow is investigated. It is found that for Reynolds numbers less than a critical value of 1060 the flow is unconditionally stable. Also, axisymmetric modes are only the fourth least stable modes for this problem, with the first three three-dimensional modes all having a lower critical Reynolds number. Further, for Reynolds numbers above the critical value, the flow is unstable only for a finite distance, and returns to stability sufficiently far downstream.