合金凝固过程的传输模型

TRANSPORT MODELS FOR ALLOY SOLIDIFICATION

通过数学推导，对描述合金凝固过程传输现象的连续介质模型（Ｂｅｎｎｏｎ和Ｉｎｃｒｏｐｅｒａ，１９８７），体积平均模型（Ｂｅｃｋｅｒｍａｎｎ和 Ｖｉｓｋａｎｔａ，１９８８），Ｐｏｉｒｉｅｒ模型（Ｐｏｉｒｉｅｒ等人，１９９０－１９９１），以及柱状枝晶凝固模型（Ｓｃｈｎｅｉｄｅｒ和Ｂｅｃｋｅｒｍａｎｎ，１９９５）的质量、动量、能量、溶质守恒方程进行了比较 结果表明，基于各相密度、导热系数、比热容分别相等且为常数，以及渗透率各向同性、液相粘度为常数的假设，各模型的守恒方程均可以推导出相同的简化方程．

The mass, momentum, energy and species conservation equations of continuum model (Bennon and Incropera, 1987), volume-averaged model (Beckermann and Viskanta, 1988), Poirier's model (Poirier et al., 1990-1991), and columnar dendritic solidification model (Schneider and Beckermann, 1995) for describing the transport phenomena in solidification of alloys were studied by using mathematical derivations. The results showed that the model formulations can be simplified to consistent forms based on the assumptions of constant density, conductivity, specific heat, and liquid viscosity as wen as isotropic permeability in the mushy zone.