多层高温作业服装模型的研究  

Research on Multi-Layer High Temperature Work Clothing Model

作　　者：高佳丰 赵之 

机构地区：[1]山东科技大学,土木工程与建筑学院,山东青岛

出　　处：《建模与仿真》2019年第1期22-30,共9页Modeling and Simulation

摘　　要：物体或系统内各点间的温度差存在是产生热传导的必要条件,由热传导方式引起的传热速率(称为导热速率)决定于物体内温度的分布情况。热传导的机理较复杂,1822年,法国数学家Fourier对导热数据和实践经验的提炼,将导热规律总结为傅立叶定律。对于一定厚度的均匀介质,若两侧存在温差,则单位时间内由温度高的一侧向温度低的一侧通过单位面积的热量与两侧温差成正比,与均质厚度成反比。比热容是单位质量物体改变单位温度时吸收或放出的热量。经问题分析,我们建立出多层防护衣模型,并采用微分方程法对每层进行分析求解。经检阅资料,热传导还包括着各种参数的隐形影响。其中辐射传热对参数影响最大。所以在模型的优化上,我们主要在自身建立的多层高温作业服模型的基础上,加进对辐射热参数的优化。The temperature difference between objects in an object or system is a necessary condition for generating heat conduction and the heat transfer rate (called heat conduction rate) caused by the heat conduction method is determined by the temperature distribution inside the object. The mechanism of heat conduction is more complicated. In 1822, French mathematician Fourier refined the heat conduction data and practical experience, and summarized the heat conduction law as Fourier’s law. For a uniform medium of a certain thickness, if there is a temperature difference between the two sides, the heat per unit area from the side with a high temperature to the side with a low temperature per unit time is proportional to the temperature difference between the two sides, and is inversely proportional to the thickness of the homogeneous. Specific heat capacity is the amount of heat absorbed or released by a unit mass object when it changes its unit temperature. After the problem analysis, we built a multi-layer protective clothing model and analyzed and solved each layer by differential equation method. For the first problem, heat conduction per unit area per unit time can be obtained, and the heat obtained per layer per unit time is the heat obtained from the previous layer minus the heat transferred to the next layer. Bringing the data of Annex I, using Mathematica to find the numerical solution of the differential equation in 5400 seconds, obtaining the function of temperature with respect to time, making an image, and the image generated by the calculated value is basically consistent with the image generated by the data provided in Annex II. After data review, heat transfer also includes the invisible effects of various parameters. Radiation heat transfer has the greatest influence on the parameters. There-fore, in the optimization of the model, we mainly optimize the radiant heat parameters based on the multi-layer high-temperature workwear model established by ourselves.

关 键 词：热传递模型 常微分方程 数值解 

分 类 号：F2[经济管理—国民经济]