摘要
树状分叉网络的物质输运现象普遍存在于能源开发、材料制备和生物医学工程等前沿领域。当前学术界的研究焦点多集中于规则对称特征和理想化直管结构,对树状分叉网络的非对称几何构型和迂曲效应耦合作用下渗透率变化规律的系统研究相对较少。本研究基于分形几何理论,创新性构建了单根非对称迂曲树状网络渗透率的分形模型以及随机分布的非对称迂曲树状网络族渗透率的分形模型,系统探索了网络结构参数对渗透率特性的详细影响机理。研究结果表明:相比于传统对称树状分叉网络模型,直径比的增大通过扩张管道直径有效降低了流动阻力,从而显著提升了渗透率;长度比的增加则通过延长流动路径增强了粘性耗散效应,导致渗透性能下降;分叉级数的增加导致网络拓扑复杂度指数级上升,管道迂曲度的提升和母管直径分形维数的增大加剧了流体流动难度,进而使渗透率减小。因此,树状分叉网络的结构参数对渗透率的作用不可忽视。本研究构建了一套较为完整的描述非对称迂曲树状分叉网络渗透率的理论与方法,为复杂多孔介质的输运性能预测提供了理论依据,也可指导多孔介质结构的优化设计。
The transport properties of tree-like branching networks have found extensive applications in energy,materials,and bioengineering fields.However,existing studies have primarily focused on symmetric networks and straight channels,whereas real-world scenarios often involve asymmetric structures and tortuous conduits.The coupling effects of asymmetry and tortuosity on permeability remain insufficiently explored.Based on fractal theory,this study establishes a fractal permeability model for stochastic,tortuous,and asymmetric treelike branching networks.A systematic comparison of structural parameter impacts on overall network permeability under symmetric and asymmetric conditions is conducted.Through validation against existing asymmetric models,the non-negligible role of structural parameters in governing permeability is confirmed.Results show that compared to symmetric structures:increasing diameter ratio enlarges conduit dimensions,reduces flow resistance,and enhances permeability;increasing length ratio elongates conduit paths,increases flow resistance,and decreases permeability;augmenting branching levels,conduit tortuosity,and parent tube diameter fractal dimensions all elevate geometric complexity,leading to reduced permeability.This research comprehensively considers the combined effects of tortuosity and microstructural parameters on network permeability,thereby improving model relevance to practical applications.
作者
谢磊
郑仟
XIE Lei;ZHENG Qian(School of Mathematics and Statistics,Wuhan Textile University,Wuhan Hubei 430200,China)
出处
《武汉纺织大学学报》
2025年第6期37-45,共9页
Journal of Wuhan Textile University
基金
国家自然科学基金面上项目(11972266)。
关键词
分形
渗透率
树状分叉网络
fractal
permeability
tree-like network
