基于恒温边界一维非稳态传热模型测量固体材料热物性参数  

Test thermo-physical properties of solid material based on one dimensional unsteady heat transfer model in constant temperature boundary condition

作　　者：陈清华[1] 董长帅 马燕[1] 庞立[1] 刘泽功[2] 

机构地区：[1]安徽理工大学机械工程学院,安徽淮南232001 [2]安徽理工大学能源与安全学院,安徽淮南232001

出　　处：《中南大学学报（自然科学版）》2015年第12期4686-4692,共7页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(50974003);安徽省自然科学基金资助项目(1408085ME107);中国博士后科学基金资助项目(2014M561807);安徽省高校优秀青年基金重点资助项目(2011SQRL041ZD)~~

摘　　要：采用超级恒温水浴结合黄铜板形成恒温边界,通过控制试样尺寸（长和宽为厚度的8~10倍）结合侧壁面绝热层,保证在试样中产生准均匀一维热流。然后基于恒温边界下的一维非稳态传热模型,利用随机共轭梯度法对固体材料导热系数、比热容等进行参数估计反演计算。针对比热容灵敏度系数较低,参数反演估计误差较大的情况,估计热扩散率,并对比热容估计结果进行修正。建立实验测试装置,对松散煤体进行热物性测试,分析温度测量误差对估计结果的影响。最后,对玻璃等6种材料进行热物性测试分析。研究结果表明：利用随机共轭梯度法进行参数估计,准确性和抗不适定性较好,温度测量标准差达0.6时,仍能保证足够的参数反演精度（相对误差〈10%）。By forming constant temperature boundary with super constant temperature bath and copper plate, in combination with the control measures of sample size（long and width are 8-10 times of thickness） and heat-insulating layer of sidewalls, the unsteady heat transfer model in first boundary condition was built. Then based on one dimensional unsteady heat transfer model in constant temperature boundary condition, using random conjugate gradient method, thermal conductivity and thermal capacity of solid material were estimated and calculated inversely. Considering that the sensitivity of thermal capacity is too low to inverse accurately, and that the estimation error of inversion calculation is very big, first, thermal diffusivity were estimated, and then thermal capacity was modified. Based on the built experimental system, the thermo-physical properties of the loose coal were tested. The influence of the temperature measurement error on the estimation results was discussed. Finally, six kinds of thermo-physical properties of material were tested and analyzed. The results show that the used algorithm has good accuracy and ill-posedness, even when the standard deviations of temperature reaches 0.6, thus inversion accuracy can be guaranteed（the relative error is less than 10%）.

关 键 词：固体材料 恒温边界 一维非稳态传热 反问题 随机共轭梯度法 

分 类 号：TD752.1[矿业工程—矿井通风与安全]