基于球Bessel函数的钢球温度分布均匀化时间计算  

Calculation on Uniformization Time of Steel Ball Temperature Besed on Spherical Bessel Function

作　　者：王小增[1] 曾辉[1] 杨久红[1] 

机构地区：[1]嘉应学院电子信息工程学院,广东梅州514018

出　　处：《轴承》2012年第3期33-35,64,共4页Bearing

基　　金：广东省梅州市自然科学基金资助项目(2010KJA08)

摘　　要：推导了球体的热传导方程,采用球Bessel函数给出了球体热传导方程的解,实例分析不同半径球体热处理过程中的温度变化情况,通过试验并作图,得出了用于计算不同半径球体温度均匀分布所需的时间拟合公式。结果表明:球体温度均匀分布时间为半径的二次函数,采用拟合公式计算的误差为0.6%;球体表面温度变化比中心剧烈,表面细小裂纹容易导致球体开裂。The heat conduction equation of the ball is deduced, the spherical Besset function is adopted to solve the e quation, and the temperature variation in ball with different radius in the heat treatment process is analyzed. The fitting formulas for temperature uniformization time of ball with different radius are obtained by using experiments and charts. The results show that the temperature uniformization time of ball is the quadratic function of ball radius, the error is 0.6%. The ball surface temperature change more sharply than the center, the small cracks on the surface results in the crack of the ball.

关 键 词：球 球Bessel函数 温度分析 均匀分布 

分 类 号：TG151[金属学及工艺—热处理]