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Momentum transfer across a semi-circular porous cylinder attached to a channel wall
Meccanica ( IF 2.7 ) Pub Date : 2021-06-04 , DOI: 10.1007/s11012-021-01369-5
Rajvinder Kaur , Avinash Chandra , Sapna Sharma

Momentum transfer from a semi-circular porous cylinder attached to a rectangular channel wall has been investigated for the numerous values of germane parameters as Reynolds number \((0.01\le Re \le 40),\) Darcy number \((10^{-6} \le Da \le 10^{-1}),\) blockage ratio \((0.1667\le \beta \le 1.5)\) and porosity \((0.1 \le \epsilon \le 0.9).\) The porous media flow has been numerically modeled by implementing the Darcy-Brinkman-Forchheimer model. The combined influences of all the aforementioned parameters on the flow field are visualized by streamlines and vorticity profiles. The detailed insights of the flow field are provided by representing the pressure coefficient distribution and the values of the drag coefficient. The obtained results depict that the porosity influences flow characteristics at the high values of Darcy number. The pressure coefficient represents an inverse relationship with \(\beta\). The drag coefficient increases by increasing \(\beta\) for all governing parameters. Furthermore, the drag coefficient shows a decreasing behavior for \(Da \ge 10^{-3}\) whereas it shows an involute dependency for \(10^{-6} \le Da \le 10^{-4}.\) Overall, the complex influences of \(Re, Da, \beta ,\) and \(\epsilon\) on the flow field have been observed.



中文翻译:

穿过连接到通道壁的半圆形多孔圆柱体的动量传递

已经研究了从连接到矩形通道壁的半圆形多孔圆柱体的动量传递,以获取大量的锗参数值,如雷诺数\((0.01\le Re \le 40),\)达西数\((10^{ -6} \le Da \le 10^{-1}),\)堵塞比\((0.1667\le \beta \le 1.5)\)和孔隙率\((0.1 \le \epsilon \le 0.9).\ )多孔介质流动已通过实施 Darcy-Brinkman-Forchheimer 模型进行数值模拟。所有上述参数对流场的综合影响通过流线和涡度分布进行可视化。通过表示压力系数分布和阻力系数值来提供流场的详细信息。获得的结果表明孔隙度在达西数较高时影响流动特性。压力系数表示与\(\beta\)的反比关系。对于所有控制参数,阻力系数随着\(\beta\) 的增加而增加。此外,阻力系数对于\(Da \ge 10^{-3}\)而它显示了\(10^{-6} \le Da \le 10^{-4}.\)的渐开线依赖总的来说,\(Re, Da, \beta,\)\(\ epsilon\)在流场上被观察到。

更新日期:2021-06-04
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