基于Laguerre-Voronoi法的三维开孔泡沫金属模型

开孔泡沫金属由于其高效的传热性能与独特的传热机理，在降低能源消耗方面引起了众多学者的关注。提出了一种利用Laguerre-Voronoi法对固定空间内随机堆积的球体进行空间划分的建模方法，以模拟开孔泡沫金属微结构的几何和拓扑特性。利用随机堆积球体的球体体积对数正态分布来控制相应开孔泡沫结构的孔隙体积分布，分析了变异系数对泡沫结构孔隙分布的影响，并采用商用开孔泡沫金属对模型进行验证。结果表明：泡沫结构中孔隙(多面体)的平均面数、面的平均边数和孔隙体积变异系数都接近实际泡沫的结构参数，模型的孔隙率相对误差小于±5%,比表面积相对误差普遍小于20%,表明本文的建模方法是准确可靠的。

Research on 3D Open Foam Metal Model Based on Laguerre-Voronoi Method

Because of their high heat transfer performance and unique heat transfer mechanism, open cell metal foams have attracted the attention of many scholars in reducing energy consumption. In this paper, a modeling method for spatial division of randomly stacked spheres in fixed space by Laguerre-Voronoi method was proposed to simulate the geometrical and topological properties of open cell metal foam microstructures. The pore volume distribution of the corresponding open cell foam structure was controlled by the logarithmic normal distribution of the volumes of the randomly stacked spheres. The influence of the coefficient of variation on the pore distribution of foam structures was analyzed, and the commercial open cell metal foam was used to verify the model. The results show that the average number of faces, the mean number of edges of the surfaces and the coefficient of variation of pore volumes in foam structures are close to the parameters of actual foam structures. The relative error of porosity is less than ±5% and the relative error of specific surface area is generally less than 20%, which shows that the modeling method in this paper is accurate and reliable.