高温作业服装的热传导数学模型分析

Mathematical Model Analysis of Heat Conduction in Clothing for High Temperature Operation

摘要: 本文针对高温作业专用服装设计问题，运用热量守恒定律和傅里叶定律，建立专用服装温度热传导模型，并给出从热传导方程的求解，和三维温度分布图。当第II层厚度不确定时，结合建立的热传导方程，使用二分法计算出的最优厚度。当第II层和第IV层的厚度不确定时，综合两个变量得到优化模型，并用二分法求解最优厚度，得到最优厚度。结果验证模型具有合理性和优良性。

Abstract: In this paper, aiming at the problem of clothing design for high temperature operation, the model of temperature heat conduction is established based on law of conservation of heat and Fourier’s law. First heat exchange method and temperature distribution are discussed and found. Secondly, when the thickness of the second layer is uncertain, the optimal thickness is calculated by dichotomy combined with the established heat conduction equation. Finally, the optimum thickness of Layer II and Layer IV is obtained by synthesizing two variables, and using dichotomy method. The results show that the model is reasonable and good.