A novel fractal model for permeability of damaged tree-like branching networks
A novel fractal model for permeability of damaged tree-like branching networks
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DOI：
10.1016/j.ijheatmasstransfer.2018.06.053
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发表时间：
2018-12
影响因子：
5.2
通讯作者：
Tongjun Miao;Aimin Chen;Liwei Zhang;Bo-ming Yu
中科院分区：
文献类型：
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作者：
Tongjun Miao;Aimin Chen;Liwei Zhang;Bo-ming Yu
自然界树形分支网络的破坏是一种非常普遍的现象，几十年来引起了从有生命到无生命流系统各个领域的广泛关注。基于树状分支网络的分形特征，提出了一种新的树状分支网络渗透率模型。研究发现，所提出的模型是受损树状分支网络结构参数的函数，这些结构参数包括受损通道数(p)、直径比（β）、长度比（α）、分支数(n)、分支水平(k)和网络中分支水平总数(m)。系统地研究了微结构参数对网络有效渗透率的影响。研究发现，损伤通道的数量和分支水平对其渗透率和压降有显著影响。目前的结果与受损树状分支网络中的传热有很大的不同。该模型在流体流动系统的分析和设计中具有一定的应用价值。
Damage of the tree-like branching networks in nature is a very prevalent phenomenon, which has attracted a great deal of attention in various fields ranging from animate to inanimate flow systems for several decades. In this study, a novel model for permeability is proposed for damaged tree-like branching networks based on the fractal characteristics of tree-like branching networks. It is found that the proposed model is a function of structure parameters of damaged tree-like branching networks, such as the numbers (p) of damaged channels, the diameter ratio (β), length ratio (α), branching number (n), branching level (k), and the total number of branching levels (m) in the network. The influence of the micro-structural parameters on the effective permeability of the networks is systematically studied. It is found that the numbers of damaged channels and branching levels have significant effect on its permeability and pressure drop. The present results are much different from the heat transfer in damaged tree-like branching networks. The model may have the potential in analysis and design of fluid flow systems.