论文部分内容阅读
推导了钢球的热传导方程,采用球贝塞尔函数给出了钢球热传导方程的解答,并对不同半径钢球的热处理过程中不同时刻固定位置的温度变化剧烈程度进行分析计算,比较了不同半径钢球温度变化的剧烈程度,并对温度分布公式计算误差进行了分析。分析结果表明:相同半径的钢球在加热开始时刻温度变化最为剧烈;对于不同半径的钢球,半径越小温度变化越剧烈;在钢球不同位置,温度误差为正弦波动,级数求和次数取30时误差小于1.2%。
The heat conduction equation of the steel ball is deduced. The ball Bessel function is used to give the solution of the heat conduction equation of the steel ball. The temperature changes of the steel ball at different positions during the heat treatment process are analyzed and calculated. Radius of the ball temperature changes in the severity of temperature distribution formula error is analyzed. The results show that the temperature of the ball with the same radius changes most intensely at the beginning of heating. For the balls with different radii, the smaller the radius is, the more severe the temperature changes. At different positions of the ball, the temperature error is sinusoidal, Take 30 when the error is less than 1.2%.