基金项目

基于有限差分法的高温防护服数学模型研究

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  • 广东医科大学生物医学工程学院
    广东医科大学公共卫生学院
    广东医科大学生物医学工程学院

网络出版日期: 2023-08-08

Mathematical Model of High Temperature Protective Clothing Based on Finite Difference Method

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  • School of Biomedical Engineering, Guangdong Medical University,
    School of Public Health, Guangdong Medical University
    School of Biomedical Engineering, Guangdong Medical University

Online published: 2023-08-08

摘要

针对高温防护服设计的问题,通过研究收集到的各层材料的参数,基于能量守恒定律与傅里叶定律建立热传导
模型,得到变系数的偏微分方程组,利用有限差分法与遍历迭代法求解方程组,得到最适宜的对流换热系数和温度变化规律,
进而得到各层最优厚度与最高受热温度。最后对模型进行检验,最终所有数据的偏差为0.99688,得出模型结果的正确性高。

本文引用格式

何文海 李艺琳 李梓涛 唐国平 .

基于有限差分法的高温防护服数学模型研究
[J]. 电脑与电信, 2023 , 1(3) : 5 -9 . DOI: 10.15966/j.cnki.dnydx.2023.03.008

Abstract

For the problem of high temperature protective clothing design, this paper studies the parameters of the layers of material
to establish heat conduction model based on the law of conservation of energy and Fourier's law, attaining the partial differential
equations with variable coefficients. It uses finite difference method and traversal iterative method to solve the equations, attaining the most suitable convection heat transfer coefficient and temperature change rule, and further getting the optimal thickness and the highest heating temperature. Finally, the model is tested. The deviation from all of the final data is 0.99688, the model results have high accuracy.

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