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热防护服-空气-皮肤热传导模型及其解析解
引用本文:李长玉,方彦奎,刘福旭,阮宇航. 热防护服-空气-皮肤热传导模型及其解析解[J]. 应用数学和力学, 2021, 42(2): 162-169. DOI: 10.21656/1000-0887.400290
作者姓名:李长玉  方彦奎  刘福旭  阮宇航
作者单位:华南理工大学广州学院 汽车与交通工程学院, 广州 510800
基金项目:广东省特色创新项目(自然科学类)(2017KTSCX218)
摘    要:建立了高温环境下热防护服-空气-皮肤的热传导模型.利用热传导时,层合界面间温度相等和热流量连续的条件,结合微分思想,用分离变量法推导了微小时间段内模型热传导的解析解,然后通过循环得到整个时域内的解析解.利用求得的解析解分析了在80℃的环境温度下模型各位置温度和热流密度的变化情况,以及在不同环境温度下皮肤表面温度变化和热...

关 键 词:热防护服  分离变量  热损伤  温度场
收稿时间:2019-12-26

A Thermal Protective Clothing-Air-Skin Heat Conduction Model and Its Analytical Solution
Affiliation:School of Automobile and Traffic Engineering, Guangzhou College of South China University of Technology, Guangzhou 510800, P.R.China
Abstract:A thermal protective clothing-air-skin heat conduction model in high temperature environment was established. The analytical solution of heat conduction in a small time period was derived by means of the method of separation of variables under the conditions of equal temperature and continuous heat flux at the laminate interface during heat conduction, and then the analytical solution in the whole time domain was obtained through iteration. The variations of temperature and heat flux in different positions in the model at an ambient temperature of 80 ℃ were analyzed with the analytical solution. Then the surface temperature and thermal damage of skin at different ambient temperatures were calculated. The solution method applies to heat transfer problems of general laminate structures. The calculation results are of referential significance for the design and effect evaluation of thermal protective clothing.
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