Topology optimization of a porous unit cell in a fluid flow considering Forchheimer drag
Topology optimization of a porous unit cell in a fluid flow considering Forchheimer drag
复制标题
考虑 Forchheimer 阻力的流体流动中多孔晶胞的拓扑优化
DOI：
10.1080/10618562.2019.1705968
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发表时间：
2020
影响因子：
1.3
通讯作者：
and Mitsuru Kitamura
中科院分区：
文献类型：
--
作者：
Akihiro Takezawa;Xiaopeng Zhang;Takuo Tanaka;and Mitsuru Kitamura
当雷诺数超过约10时，多孔介质的阻力变为非线性，不能用达西理论处理。Darcy-Forchheimer定律将多孔介质中的阻力视为二次函数，该定律涵盖了该区域的雷诺数。在本研究中，我们研究了基于该定律和拓扑优化的多孔单胞的最佳形状。基于平均定理和有限元方法计算了达西渗透率和福什海默二次阻力项。拓扑优化方法是基于经典的流道优化。将压降作为拓扑优化的目标函数。通过改变细胞模型分析中的输入流速，最佳形状变得适应指定的流速。我们推导出2D和3D的低和高速度区域的最佳细胞形状。
When the Reynolds number exceeds approximately 10, drag from porous media becomes nonlinear and cannot be handled by Darcy's theory. The Darcy–Forchheimer law, which considers drag through porous media as a quadratic function, covers this region up to the Reynolds number of the order. In this research, we study the optimal shape of a porous unit cell based on this law and topology optimisation. Darcy's permeability and Forchheimer's quadratic drag term are calculated based on the averaging theorem and finite element method. The topology optimisation method is based on classical flow channel optimisation. The pressure drop is considered as the objective function of topology optimisation. By changing the input flow velocity in cell model analysis, the optimal shape becomes accustomed to the specified flow speed. We derive 2D and 3D optimal cell shapes for both low and high velocity regions.