三周期极小曲面多孔材料渗透率尺度特性研究

三周期极小曲面（triply periodic minimal surface, TPMS）在多孔材料设计中的应用日益广泛，但其渗透性能的尺度特性缺乏研究。以4种常用的TPMS单元作为研究对象，在介绍其数学模型及孔隙率控制方法的基础上，建立基于CFD（computational fluid dynamics）的仿真分析模型；对不同孔隙率的TPMS单元和立方多孔结构进行数值仿真分析，明确了其尺度和渗透率之间定量关联规律，即在所选的尺度范围内，各类TPMS单元和立方多孔结构的渗透率是尺度的二次函数。对于TPMS多孔材料渗透性的设计，研究成果可以为TPMS单元类型和尺度的选择提供仿真方法支撑。

Study on the Scale Characteristics of Permeability of TPMS Porous Materials

Triply Periodic Minimal Surface (TPMS) has been widely used in the design of porous materials, however, there is insufficient research on the scale characteristics of permeability. Four commonly used TPMS units are chosen as the research object, based on the introduction of their mathematical models and porosity control methods, a numerical simulation model based on CFD (computational fluid dynamics) is established; TPMS units and cubic porous structures with different porosities are analyzed, the quantitative correlation between their scales and permeability is clarified, i.e., within the selected scale range, the permeability of various TPMS units and cubic porous structures is the quadratic function of scaled. For the design of the permeability of TPMS porous materials, the research results can provide simulation method to support the selection of TPMS unit type and size.