We numerically investigated steady axisymmetric flow through and around a porous disk with aspect ratio ($\chi$) ranging from 1 to 20, Reynolds number (Re) varying from 10 to 120, and Darcy number (Da) ranging from ${10}^{-6}$ to 1. The wake characteristics are presented in terms of the streamline patterns, the geometrical parameters as well as the occurrence of the recirculating wake. In particular, the bifurcation curves in the Re-Da parametric space can be collapsed onto approximately the same curve for all $\chi$ when the modified $\chi \text{Da}$ is used. Both $\chi$ and Da are demonstrated to be closely related to the drag and have similar effects on the flow behavior. The formation mechanism of recirculating wake at different $\chi$ is further discussed with respect to the base bleed quantified by the flow rate as well as the vorticity accumulation and decay.

中文翻译：

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纵横比对穿过和围绕多孔盘的流动的影响

我们数值研究了具有纵横比（$\chi$) 范围为 1 到 20，雷诺数 (Re) 范围为 10 到 120，达西数 (Da) 范围为 ${10}^{-6}$1. 尾流特征表现为流线型式、几何参数以及回流尾流的发生。特别是，Re-Da 参数空间中的分岔曲线可以折叠成几乎相同的曲线。$\chi$ 当修改 $\chi \text{达}$用来。两个都$\chi$和 Da 被证明与阻力密切相关，对流动行为有类似的影响。不同条件下再循环尾流的形成机制$\chi$ 进一步讨论了由流速以及涡度累积和衰减量化的基础流失。