江汉大学学报(自然科学版) ›› 2019, Vol. 47 ›› Issue (6): 535-540.doi: 10.16389/j.cnki.cn42-1737/n.2019.06.008

• 应用数学 • 上一篇    下一篇

基于热传递数学模型的高温作业服织物厚度设计

王佩佩,王帅,欧昕鑫,周鑫,许璐*   

  1. 江汉大学 数学与计算机科学学院,湖北 武汉 430056
  • 出版日期:2019-12-28 发布日期:2019-11-20
  • 通讯作者: 许璐
  • 作者简介:王佩佩(1997— ),女,研究方向:应用数学。
  • 基金资助:
    国家自然科学基金资助项目(10961003);武汉市教育局科研基金资助项目(20180911)

Thickness Design of High Temperature Working Clothes Based on Heat Transfer Mathematical Model

WANG Peipei,WANG Shuai,OU Xinxin,ZHOU Xin,XU Lu*   

  1. School of Mathematics and Computer Science,Jianghan University,Wuhan 430056,Hubei ,China
  • Online:2019-12-28 Published:2019-11-20
  • Contact: XU Lu

摘要: 针对高温作业服的第Ⅱ层防水层和第Ⅳ层空气层的厚度选取问题,建立三层织物-空气层-假人皮肤层的热传递模型,采用有限差分法求解模型的偏微分方程并利用MATLAB数学软件进行计算,得到三维温度分布图;在假设的约束条件下确定了第Ⅱ层防水层和第Ⅳ层空气层的最优厚度分别为19. 06和5. 78 mm。

关键词: 高温作业服, 三层纺织材料, 热传递模型, MATLAB, 有限差分法, 算法分析

Abstract: Aiming at the problem of thickness selection of the layer II waterproof layer and the layer IV air layer of the high temperature working suit,the heat transfer model of three-layer of fabric,air layer,artificial human skin layer was established,the partial differential equation of the model was solved by the finite difference method and the MATLAB mathematical software was used for calculation. The data of temperature distribution were obtained,and a three-dimensional temperature distribution map was generated. Under hypothetical conditions,the optimal thicknesses of layer Ⅱ of waterproof layer and layer Ⅳ of air layer were 19. 06 mm and 5. 78 mm,respectively

Key words: high temperature working clothes, three-layer textile material, heat transfer model, MATLAB, finite difference method, algorithm analysis

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