ESR熔池深度与重熔电流及锭高关系的数模研究

Mathematical Model Study on Influence of Remelting Current and Ingot Height of ESR Process on Bath Depth

本试验是在小型ESR炉上进行熔池深度随重熔过程变化规律的数模研究.通过对已得数据的回归处理,找出了熔池深度h及锭高Y之间的相关规律,得到h(0,Y)=A·e-B/Y的指数函数关系,A和B均为重熔电流的函数,A=f1(I),B=f2(I),所以,h(0,Y)=f3(I,Y).这一数学模式可用于描述和预示任意重熔电流时的最大熔池深度及随锭高增长熔池深度变化的趋向.熔池的深浅,影响金属结晶生长方向改变及夹杂物和气体的去除过程.合理控制重熔电流与熔池深度,对改善ESR锭铸态组织和材料质量是有益处的.

The purpose of this experiment is to investigate a mathematical model of the influence of (remelting) process on bath depth in a small ESR furnace.By regression analysis of the obtained data,a relationship has been found between the bath depth(h) and ingot height(Y),which can be expressed by an exponential (function,)h_((0,Y))=A·e^(-B/Y).A and B are dependent on the remelting current(I):A=f_1(I),B=f_2(I),(therefore,)h_((0,Y))=f_3(I,Y).This model can be used to describe and predict the h_(max) at any current (I) and the variation tendency of the bath depth with the increase of ingot height.The bath depth influences the direction of crystal growth,nonmetallic inclusion removal,and the degassing process.Proper control of the remelting current and bath depth will benefit the structure and the quality of ESR ingot.