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本文建议用数学软件Mathematica计算热量传递过程,包括用符号运算功能推导保温层临界直径,用曲线拟合法处理传热实验数据,用积分法求取传热系数为温度函数时的换热面积,用Solve等命令求解换热和保温过程所产生的非线性方程,用DSolve命令求解非稳态传热过程产生的微分方程等等。同时绘制出有关函数图形,准确、形象地展示计算过程和结果,方便教师讲解和学生理解,避免复杂、繁琐、耗时的手工计算,提高学生利用计算机解决热量传递问题的能力。
This paper proposes to calculate the heat transfer process with the mathematical software Mathematica, including computing the critical diameter of the insulation layer by using the symbolic operation function, treating the heat transfer experimental data by the curve fitting method, calculating the heat exchange area by the integral method when the heat transfer coefficient is the temperature function, Solve and other commands to solve the heat transfer and insulation process generated nonlinear equations, DSolve command to solve the unsteady heat transfer process differential equations and so on. At the same time, it draws the function graph, shows the calculation process and result accurately and vividly, facilitates teacher explanation and student understanding, avoids complicated, cumbersome and time-consuming manual calculation, and improves students’ ability of using computers to solve heat transfer problems.