第二类边界条件下热电偶非均匀内热源的工程求解分析  

Engineering analysis of non-uniform internal heat source in the thermocouple under the second boundary condition

作　　者：杨凡超 王洪伟[3] 王彩玲[4] 胡炳樑[1] 

机构地区：[1]中国科学院西安光学精密机械研究所光谱成像技术实验室,陕西西安710119 [2]中国科学院大学,北京100049 [3]武警工程大学科研部,陕西西安710086 [4]西安石油大学计算机学院,陕西西安710065

出　　处：《红外与激光工程》2013年第S01期30-33,共4页Infrared and Laser Engineering

基　　金：国家重点基础研究发展计划(2009CB724005)

摘　　要：国内外学者针对热电制冷器工作原理和制冷性能的研究做了大量工作,不过大多都忽略其微观导热情况而将热电偶内热源视为均匀分布。为了得到更加准确且适于工程应用的分析结果,文中将焦耳热作为热电偶非均匀内热源,建立了分析模型:该模型建立在线性常微分方程的基础上,满足叠加原理使用条件。因此基于分流和叠加的思想,提出了一种热电偶内温度和热流量分布的工程求解方法,并最终得到了热电偶在第二类边界条件下的温度和热流量分布公式。通过对结果的验算,证明了所得计算公式的正确性,为热电制冷技术的深入研究和应用提供了理论指导。The domestic and foreign scholars have done a lot of work of research on the principle and the cooling performance of thermoelectric cooler, but most of them neglect the micro thermal conditions and regard the thermo- couple internal heat source as uniform distribution. In order to make the analysis results more accurate and suitable for engineering application, Joule heat was used as non - uniform internal heat source of thermocouple in this paper and one kind of analysis model was set up： the model was based on linear ordinary differential equation and met the conditions of using principle of superposition. Therefore, this paper proposed an engineering method to calcu- late the temperature and distribution of heat flow in thermocouple based on the shunt and superposition principle. At last this paper got the temperature and distribution of heat flow of thermocouple under the second boundary con- dition. By checking the results, this paper proves the correctness of the formula and provides a theoretical guid- ance for the further research and application of thermoelectric refrigeration technology

关 键 词：热电制冷 热电偶 非均匀内热源 第二类边界条件 热传导 

分 类 号：TN248.41[电子电信—物理电子学]