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对上、下绝热仅靠侧面换热的圆柱形铸锭,建立了凝固过程的一般微分方程,并求出了它的解析解,得到凝固层厚度与凝固时间的一般关系,为了便于计算,建立了有限差分格式,应用于自然对流和两种转速的强制对流下的Al-Cu合金铸锭实验的具体计算,分别求出了三种实验的凝固过程中的凝固层厚度与凝固速度公式,根据计算结果和实验观测,分析了强制对流对金属凝固过程的作用,获得一些有价值的结果。
The general differential equation of the solidification process is established for the cylindrical ingot which is only heated on the side and the lower side by adiabatic heat exchange. The analytical solution is obtained and the general relationship between the solidified layer thickness and the solidification time is obtained. For the sake of calculation, The finite difference scheme was applied to calculate the experiment of Al-Cu alloy ingot under natural convection and forced convection of two rotating speeds. The formula of the solidified layer thickness and the solidified velocity in the three experiments were obtained respectively. According to the formula Computational and experimental observations, the effect of forced convection on metal solidification process is analyzed and some valuable results are obtained.