论文部分内容阅读
利用热量扩散方程在第三类边界条件下和一维、半空间内已有的积分求解公式,对工件预先未经渗碳和预先经过渗碳这两种初始条件,分别推导出一段式和二段式渗碳(氮)时扩散方程的解析解。通过对该解进行的数学分析和物理分析,可以更进一步地理解工件表面碳(氮)浓度的变化规律;并预测出在等温扩散条件下获得碳平台分布需要的最佳扩散时间。
Based on the existing integral equations of thermal diffusion equation in the third kind of boundary conditions and in one-dimensional and half-space, the two initial conditions of the workpiece without carburizing and pre-carburizing were deduced. Analytical solution to diffusion equation of segment carburizing (nitrogen). The mathematical analysis and physical analysis of the solution can further understand the variation of carbon (nitrogen) concentration on the workpiece surface and predict the optimal diffusion time needed to obtain carbon platform distribution under isothermal diffusion conditions.