(1. 昆明理工大学 材料与冶金工程学院, 昆明 650093;
2. 井冈山学院 机械系, 吉安 343009)
摘 要: 利用海岛模型导出金属流体中气泡长大的连续性方程、 运动方程和扩散质量守恒方程, 与气泡表面的质量守恒、 西华特定律和理想气体状态方程构成气泡长大动力学方程组, 在确定粘度、 扩散系数和表面张力以及忽略部分惯性力的基础上, 对动力学方程组进行了求解, 得到金属流体中气泡长大动力学方程, 可用于描述泡沫铝气泡长大过程中时间、 温度、 第二相质量分数及压强各参数对气泡半径变化的影响, 是金属流体中气泡演变过程动力学的首次理论描述。
关键字: 泡沫铝; 海岛模型; 金属流体; 动力学; 气泡长大
(1. Faculty of Materials and Metallurgical Engineering,
Kunming University of Science and Technology, Kunming 650093, China;
2. Department of Mechanical Engineering, Jinggangshan University,
Ji'an 343009, China)
Abstract: The continuity equation, motion equation and mass diffusion conservation equation of bubble growth were deduced from island model. The three equations are combined with other laws including mass conservation equation of the bubble surface, Sievert's law and ideal gas law to form the bubble growth dynamics equations in the metal melt. This bubble growth dynamics equation is solved after confirming viscosity, diffusion coefficient, surface tension of metal melt and neglecting inertia partly. With this bubble growth dynamics equation, firstly, the model of bubble growth in metal melt was published, the effects of processing parameters of foamed aluminum, such as foaming time, foaming temperature, mass fraction of the second phase and pressure on the evaluation of bubble radius, can be predicted correctly.
Key words: aluminum foam; island model; metallic melt; dynamics; bubble growth