摘要
针对高温环境下热防护服的温度分布及各层厚度优化问题,利用热传导规律及逐步优化方法,建立了多层介质中的一维热传递模型和优化搜索模型。首先,根据防护服不同层前后分界面的温度连续性和热传递速率相等的特点,结合一维热传导方程,建立了各层介质中热传递的偏微分方程以及相应的初始条件和边界条件。为了确定所建模型的参数,该文建立了逐步优化模型,采用变步长搜索算法进行搜索。然后应用基于C-N格式的有限差分法对定解问题模型进行数值求解,得到从衣服外层一点到人体皮肤的温度分布。为确定满足温度条件的各防护层的厚度,该文建立了基于防护层厚度的优化模型,并应用变步长搜索算法进行求解,得到最优厚度值。最后对模型进行灵敏度分析,验证了模型的稳定性及可行性。
Given that the law of heat conduction and technique of stepwise refinement are utilized to tackle the problems of thermal protective clothing,for instance,temperature distribution and the thickness of each layer in high temperature environment,hence one-dimensional heat transfer model and optimization search models in multilayered medium are established.Firstly,in accordance with the characteristics such as the continuity of temperature and equal heat transfer rate between front and back interfaces of different layers of protective clothing,this paper has set up the partial differential equation of heat transfer in multilayered medium and the corresponding initial and boundary conditions after a combination of one-dimensional heat transfer equation.In order to determine the parameters in proposed models,this paper has established a stepwise refinement model by adopting the variable step search algorithm.Secondly,the finite difference method based on C-N scheme is applied to numerically solve the definite problem model and obtain the temperature distribution from the outer layer of clothing to human skin.In order to determine the thickness of each protective layer that meets the temperature conditions,this paper has established the optimization model based on the thickness of the protective layer,and obtains the optimal thickness by applying the variable step search algorithm in numerical solution.Finally,sensitivity analysis of the model is carried out to verify the stability and feasibility of the model.
作者
孙浩然
吴宏聪
张嘉墀
李明奇
SUN Haoran;WU Hongcong;ZHANG Jiachi;LI Mingqi(School of Information and Communication Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China;School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,China)
出处
《实验科学与技术》
2020年第4期1-6,共6页
Experiment Science and Technology
基金
四川省2018—2020年高等教育人才培养质量和教学改革项目。
关键词
热防护服温度分布模型
热量传递模型
变步长搜索算法
C-N格式
temperature distribution model of thermal protective clothing
heat transfer model
variable step search algorithm
C-N scheme
