Uniform flow past a periodic array of cylinders
Uniform flow past a periodic array of cylinders
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DOI：
10.1016/j.euromechflu.2015.10.003
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发表时间：
2016-03-01
影响因子：
2.6
通讯作者：
Crowdy, Darren G.
中科院分区：
文献类型：
--
作者：
Crowdy, Darren G.
作者最近设计的一种新的变换技术解决了通过圆柱体的线性周期阵列或光栅的均匀流动问题。这些解被表示为依赖于一组系数的积分表示，这些系数是易于求解的显式且条件良好的线性系统的解。我们还为所谓的堵塞系数提供了新的显式近似公式，该公式的精确度远远超出了与相对于其间距较小的气缸相关的稀释极限。最后，我们通过共形映射理论描述了解决流动问题的另一种方法，并产生了从通道内圆盘几何形状到同心环的有用共形映射的变换表示。后一个结果预计在许多其他应用中有用。 (C) 2015 作者。由 Elsevier Masson SAS 出版。
The problem of uniform flow past a linear periodic array, or grating, of circular cylinders is solved by a new transform technique recently devised by the author. The solutions are expressed as an integral representation dependent on a set of coefficients which are the solutions of an explicit and well conditioned linear system that is easily solved. We also give new explicit approximation formulas for the so-called blockage coefficients that are accurate well beyond the dilute limit relevant to cylinders that are small relative to their spacing. Finally, we describe an alternative approach to the flow problems through conformal mapping theory and produce a transform representation of a useful conformal mapping from the disc-in-channel geometry to a concentric annulus. The latter result is expected to be useful in many other applications. (C) 2015 The Author. Published by Elsevier Masson SAS.