上海交通大学学报(自然版) ›› 2014, Vol. 48 ›› Issue (12): 1809-1814.

• 其他 • 上一篇    

第一类边界条件下的松散煤体非稳态传热反问题研究

陈清华a,b,徐曼曼a,庞立a,刘泽功b,c,关维娟d   

  1. (安徽理工大学 a. 机械工程学院; b. 矿业工程博士后科研流动站; c. 能源与安全学院; d. 理学院, 安徽 淮南 232001)
  • 收稿日期:2014-06-06
  • 基金资助:

    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),安徽省高校优秀青年基金重点项目(2011SQRL041ZD),中国博士后科学基金资助项目(2014M561807)

Unsteady Inverse heat Conduction Problem of Loose Coal Bulk in First Kind Boundary Condition

CHEN Qinghuaa,b,XU Manmana,PANG Lia,LIU Zegongb,c,GUAN Weijuand   

  1. (a. College of Mechanical Engineering; b. Flow Station of Mining Engineering Postdoctoral Researchers; c. College of Energy and Safety; d. College of Sciences,  Anhui University of Science and Technology, Huainan 232001, Anhui, China)
  • Received:2014-06-06

摘要:

摘要:  为实现松散煤体热物性参数的高效准确获取,对第1类边界条件下的松散煤体非稳态传热反问题进行了研究.利用超级恒温水浴生成恒温水介质,结合底部为黄铜板的试样盒构建恒温边界,然后基于第1类边界条件下的一维非稳态传热模型,利用随机共轭梯度法估计松散煤体导热系数和比定压热容等.参数灵敏度分析表明,松散煤体导热系数与比定压热容可同时估计,但因比定压热容灵敏度系数较低,导致参数反演估计精度不高,从而采用先估计热扩散率,然后再对比定压热容进行修正的策略,实现了松散煤体导热系数及比定压热容的准确估计.通过建立的测试装置,进行了松散煤体热物性参数估计实验.结果表明:采用的松散煤体热物性反演估计算法具有较好的准确性和抗不适定性,初始猜测值对参数反演估计结果没有明显影响,而温度测量标准差达到0.6时,参数反演相对误差也仅为7.53%.

关键词: 松散煤体, 第1类边界, 传热反问题, 多参数估计

Abstract:

Abstract: In order to obtain thermophysical properties of loose coal efficiently and accurately, the unsteady multivariable inverse problem of loose coal bulk based on first kind boundary condition was studied in this paper. The super thermostatic water bath was used to generate constant temperature water, and the constant temperature boundary with the copper plate specimen box was built. Based on the unsteady heat transfer model in first kind boundary condition, the thermal conductivity and thermal capacity of loose coal were estimated using the conjugate gradient method. The results of sensitivity analysis show that the thermal conductivity and thermal capacity can be estimated simultaneously, but because the sensitivity of thermal capacity is too low, it has a big inverse estimation error. Therefore, in order to obtained the thermal conductivity and thermal capacity simultaneously precisely, the thermal diffusivity was estimated and the thermal capacity was modified. Based on the built experimental system, the testing experiment of  thermophysical parameters of loose coal was conducted. The results show that the used inverse algorithm has good accuracy and illposedness, the initial speculated value has no obvious effect on estimation results, and even when the standard deviations of temperature reaches 0.6, the relative error of the inversed results is just 7.53%.
Key words:

Key words: loose coal bulk, first kind boundary condition, inverse heat conduction problem, multi-parameters estimation

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