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从Lattice-Boltzmann(LB)方程出发,推导了二维LB导热模型(D2Q5),计算了具有复杂结构的多孔材料的有效导热系数,计算结果与其他文献中的实验结果符合较好.分析了多孔材料有效导热系数与材料孔隙率、单位面积孔隙数、骨架形状等参数之间的关系并给出了估算公式.给出的二维LB导热模型能方便地计算各种小尺度上具有复杂边界或复合材料中的导热问题,且二维模型能方便地扩充到三维.
Based on the Lattice-Boltzmann (LB) equation, a two-dimensional LB thermal conductivity model (D2Q5) is derived and the effective thermal conductivity of porous materials with complex structure is calculated. The calculated results agree well with the experimental results in other literatures. The relationship between the effective thermal conductivity of materials and the material porosity, the number of pores per unit area, the shape of the skeleton and other parameters are given and the estimation formula is given. The two-dimensional LB thermal conductivity model can be easily calculated for all kinds of small- Thermal conductivity of composite materials, and two-dimensional model can be easily expanded to three-dimensional.