高温作业的热传导与有限差分求解

Heat Conduction and Finite Difference Solution of High Temperature Operation

在一维假设下,将高温作业问题(以专业服装设计问题为例)转化为数学问题,给出了热传导方程和有限差分求解,将温度在时间和空间上离散化,利用MATLAB编程得到了稳态时温度的数值解和不同时刻的空间温度分布情况.在环境温度、工作时间等约束条件下,得到了高温作业专用服装第二层的最优厚度.此结果可为高温作业服装设计降低研发成本,缩短研发周期提供参考.

In a one-dimensional scenario, Transformthe the problem of high temperature operation into a mathematical problem(take special garment design as example). The heat conduction equation and finite difference solution are given, Separating temperature in time and space. The numerical solution of steady state temperature and the spatial temperature distribution at different times are obtained by MATLAB programming. Under the conditions of ambient temperature and working time, the optimal thickness of the second layer of special clothing for high temperature work is obtained. The results can provide reference for reducing R&D cost and shortening R&D cycle.