微纳纤维材料中气体输运特性的分形分析

项目名称： 微纳纤维材料中气体输运特性的分形分析

项目编号： No.11502178

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 数理科学和化学

项目作者： 郑仟

作者单位： 武汉纺织大学

项目金额： 20万元

中文摘要： 微纳纤维材料广泛应用于服装、医药、能源和航空航天等领域。在上述应用中，气体流动和扩散是两个非常重要的输运过程，因此研究其中的气体输运机理具有重要的科学意义和实用价值。本项目拟根据纤维材料的分形标度行为，通过理论分析和数值模拟研究微纳纤维材料中气体的输运物理机理。具体研究内容为：（1）研究纤维材料的统计分形标度定律，确定纤维材料的多孔介质分形表征模型；（2）基于多孔介质分形理论，研究和推导气体输运特性参数与微纳纤维材料微观结构之间的数学模型，建立气体输运特性参数的分形解析模型；（3）采用基于分形理论的Monte Carlo方法模拟气体输运过程，建立微纳纤维材料中孔隙大小和气体输运特性的概率模型，分析介质结构参数对气体输运特性的影响。通过本项目的研究，提出一套较完整的描述微纳纤维材料中气体输运的分形理论、方法和模型，为优化纤维材料的性能，特别是纤维材料的设计和应用，提供理论依据和指导。

中文关键词： 多孔介质；分形理论；纤维材料；气体；输运特性

英文摘要： Nano- and micro- fibrous materials are widely used in clothing、 medicine、 energy、aeronautics and astronautics and so on. For many applications of these materials, gas flow and gas diffusion are two important transport processes observed, so study of the mechanism of gas transport in fibrous media has scientific significance and practical values. The objective of this project is to study gas transport behavior in nano- and micro- fibrous materials based on its porous and fractal characteristics. The current project includes: (1) the statistical fractal scaling laws of fibrous materials will be analyzed, and then fractal characterized model of fibrous materials will be determined; (2) based on fractal theory, mathematical model between gas transport properties and micro-structures of nano- and micro- fibrous materials will be deduced, and the fractal analytical model will be built; (3) simulating gas transport process by the Monte Carlo method based on fractal theory, then the probability model of pore size and gas transport properties of nano- and micro- fibrous materials will be built, finally the impact of structure parameters on gas transport properties will be analyzed. It is expected that complete series of fractal theory,.Approaches and models for gas transport through nano- and micro- fibrous materials could be presented. The current project could provide theoretical basis and guidance for the optimization of the performance of fibrous materials, especially the design and application of fibrous materials.

英文关键词： porous medium;fractal theory ;fibrous materials;gas ;tranport property