准稳态下常功率平面热源法测不良热导体热导率及COMSOL模拟  

HEAT CONDUCTIVITY OF POOR HEAT CONDUCTOR BY PLANE HEAT SOURCE METHOD WITH CONSTANT HEATING RATE UNDER QUASI-STEADY STATE AND ITS COMSOL SIMULATION

作　　者：方奕忠 沈韩[1,2] 崔新图 黄臻成[1,2] 冯饶慧 廖德驹[1,2] 庞晓宁 Han;CUI Xintu;HUANG Zhencheng;FENG Raohui;LIAO Deju;PANG Xiaoning(School of Physics,Sun Yat-sen University;National Demonstration Center for Experimental Physics Education(Sun Yat-sen University),Guangzhou,Guangdong 510275)

机构地区：[1]中山大学物理学院 [2]物理学国家级实验教学示范中心(中山大学),广东广州510275

出　　处：《物理与工程》2023年第5期87-94,共8页Physics and Engineering

基　　金：国家自然科学基金(61871410);2016年广东省立项质量工程项目(精品资源共享课)(No.74130-18822540);中山大学质量工程项目(中山大学教务[2022]20号,74130-12220011)。

摘　　要：准稳态法是测量不良热导体热导率的一种常用方法,样品材质、保温层、加热功率等都会对测量结果造成影响。本文采用分离变量法,以有机玻璃为例,求解了厚度均匀的无限大不良热导体两侧同时施加均匀的指向中心面的热流密度时的热传导方程,得到样品各处的温度随时间变化的严格解。在初始加热时间不到十分钟的状态下采用截断近似,并在准稳态下用常功率平面热源加热法测量了不良热导体的热导率k及比热c。在此基础上,采用四块有机玻璃板和两个加热薄膜外包泡沫和聚丙烯(PP)阻热材料的模型,作了COMSOL多物理场耦合仿真,得到的理论、实验及仿真结果三者符合得很好。Quasi-steady state method is a common way to measure heat conductivity of poor heat conductor,and the results are affected by the sample's material、insulation layers and heating power.In this paper,we take Perspex boards for example,by using the variable-separated method,the heat conduction equation of an infinitely large poor heat conductor is solved,supposing the heat flux is simultaneously exerted to the center from the both sides of the conductor,and the exact time-dependent temperature expansion is obtained.A cutdown approximation is practiced when the heating time is less than ten minutes,the heat conductivity k and the specific heat c are measured by plane heat source method with constant heating rate under quasi-steady state.On this basis,a model of four Perspex boards with two heating thin films being closed in foam boards and polypropylene boards is simulated by using COMSOL Multiphysics coupling simulation software.It is concluded that the theoretical results,the experimental results and the COMSOL simulation results are well agreed.

关 键 词：准稳态 不良热导体 热导率 虚实结合 COMSOL仿真模拟 

分 类 号：O551.3[理学—热学与物质分子运动论]