Abstract In this paper, we designed tree-like branch structures with two levels according to generalized Murray’s law, and set them as obstacles in microchannels. The influence of the mixing performance of the micromixer was studied by changing the geometry sizes of obstacles, the branch angles and the distances between obstacles. The mixing performance of micromixer was analyzed from three aspects, including mixing efficiency, flow behavior, and pressure drop.We designed three different obstacles A, B, and C, the micromixer with obstacle C has the highest mixing efficiency. For the distances of obstacles, the micromixer with smaller distance has the higher mixing efficiency. The micromixer with branch angle of 75° has the highest mixing efficiency in the range of Reynolds number (Re) 0.1 to 150.

中文翻译：

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基于广义默里定律设计的新型分形障碍微混合器

摘要 在本文中，我们根据广义默里定律设计了两级树状分支结构，并将其设置为微通道中的障碍物。通过改变障碍物的几何尺寸、分支角度和障碍物之间的距离，研究了微混合器混合性能的影响。从混合效率、流动行为和压降三个方面分析了微混合器的混合性能。我们设计了三种不同的障碍物A、B和C，其中障碍物C的微混合器混合效率最高。对于障碍物的距离，距离越小的微混合器混合效率越高。分支角为75°的微混合器在雷诺数（Re）0.1～150范围内混合效率最高。