The scaling laws of transport properties for fractal-like tree networks
The scaling laws of transport properties for fractal-like tree networks
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DOI：
10.1063/1.2392935
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发表时间：
2006-11
影响因子：
3.2
通讯作者：
P. Xu;Bo-ming Yu
中科院分区：
文献类型：
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作者：
P. Xu;Bo-ming Yu
输运性质的标度律对于理解分形树状网络的输运机制具有重要意义，近年来受到广泛关注。在本文中，我们分析了网络中的输运性质，包括电导率，热传导，对流换热，层流，湍流，并推导出网络中的输运性质的标度指数。我们发现，不同的输运过程的标度律是不同的，标度指数是敏感的微观结构的网络。本文所提出的模型和结果可以揭示自然系统、纳米管网络、微电子冷却网络、生物体、油气藏裂隙网络、多孔网络/介质渗流等网络的输运机制。并可为树状结构复合材料的设计提供指导。
The scaling laws of transport properties are very important for understanding the transport mechanisms of the fractal-like tree networks, which have received extensive attention recently. In this paper, we analyze the transport properties including electrical conductivity, heat conduction, convective heat transfer, laminar flow, and turbulent flow in the networks and also derive the scaling exponents of the transport properties in the networks. We show that the scaling laws are different for different transport processes and the scaling exponents are sensitive to microstructures of the networks. The models and results we present here may shed light on the transport mechanisms of the networks such as the natural systems, nanotube networks, microelectronic cooling networks, organisms, fracture networks in oil/water reservoirs, seepage flow in porous networks/media, etc., and might provide guidance for design of composites with the tree structures.