气流
分形
流量(数学)
分形维数
湍流
树(集合论)
机械
雷诺数
计算机模拟
数学
几何学
物理
数学分析
热力学
作者
Jianghong Qian,Weiwei Yan,Zhengyan Jiang,Peng Xu
出处
期刊:Fractals
[World Scientific]
日期:2021-03-11
卷期号:29 (03): 2150053-2150053
被引量:4
标识
DOI:10.1142/s0218348x21500535
摘要
The pulsating airflow through human bronchial tree is of great significance for understanding its function and morphology. Fractal theory and numerical simulation are applied in this paper to study the global and local flow characteristics in the bronchial tree under unstable conditions. First, the pulsating flow impedance of fractal bronchial tree is derived, and the structure of bronchial tree is optimized by minimizing flow impedance. It has been shown that the optimal structure depends on the physical law governing the airflow. The optimized diameter ratio between parent and daughter branches for pulsating flow is different from Murray’s law, and the fractal dimension for branch diameter lies in 2 and 3. Afterwards, the local pulsating flow field by three-dimensional (3D) numerical simulation on a symmetrical bronchial model is compared with the global flow characteristics by fractal analysis. The numerical results show that asymmetrical airflow characteristics can be found at high Reynolds number, and the velocity distribution of the main bronchus is more irregular and the turbulence phenomenon is more evident. This work can help to understand the association between function and structure of the bronchial tree, and it may shed light on the physical mechanisms and drugs targeting of pulmonary disease.
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